A toy train set has a circular track piece. The inner radius of the piece is 6 cm. One sector of the track has an arc length of 33 cm on the inside and 55 cm on the outside. What is the width of the track? *respost since people thought it would be funny to troll on my last. :/

Answers

Answer 1

The width of the toy train track is 4 cm.

To find the width of the toy train track, we need to consider the inner radius, the arc length of the inner sector, and the arc length of the outer sector.

Given:
Inner radius (r1) = 6 cm
Inner arc length (s1) = 33 cm
Outer arc length (s2) = 55 cm

Step 1: Find the central angle (θ) using the inner arc length and inner radius.
θ = s1/r1 = 33 cm / 6 cm = 5.5 radians

Step 2: Find the outer radius (r2) using the central angle and the outer arc length.
s2 = r2 × θ
55 cm = r2 × 5.5 radians
r2 = 55 cm / 5.5 radians = 10 cm

Step 3: Calculate the width of the track.
Width = Outer radius - Inner radius
Width = r2 - r1 = 10 cm - 6 cm = 4 cm

The width of the toy train track is 4 cm.

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Related Questions

Solve this system and identify the solution.
Select one:

a.
(5,-2)


b.
infinite solutions


c.
no solutions


d.
(2,-5)

Answers

The correct statement regarding the solution to the system of equations is given as follows:

b. Infinite solutions.

How to solve the system of equations?

The system of equations in the context of this problem is defined as follows:

3y - 6x = 24.8 + 2x = y.

Replacing the second equation into the first, the value of x is obtained as follows:

3(8 + 2x) - 6x = 24

24 + 6x - 6x = 24

24 = 24.

24 = 24 is a statement that is always true, hence the system has an infinite number of solutions, and thus option B is the correct option for this problem.

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The carbon monoxide wel wat is predicted to be 0.02.2+1 arts permitin), where is the population in thousands In was the population of the oty i predicted to be ) - 12 those perle Therefore, it was the one will be D) - 02/12 - 02.10 Find that which in de will be increasing in 2 years.

Answers

I apologize, but I am having trouble understanding your question. Can you please provide more context and clarity? Specifically, what do you mean by "carbon monoxide wel wat" and "arts permitin"? Additionally, what city or population are you referring to? Once I have a better understanding of your question, I will do my best to provide a helpful response.
Hi! It seems like the question is asking about the prediction of carbon monoxide levels in relation to population growth. Unfortunately, the text is a bit unclear, so I'll try my best to answer based on the provided information.

The given equation for carbon monoxide levels (CO) is: CO = 0.02(2 + P), where P is the population in thousands. To find the predicted increase in CO levels after 2 years, you would need to know the population growth rate or the population for those years. Please provide more information or clarify the question, and I'll be happy to help further

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The path from Tyler's home to the school is straight. On his way home from school, Tyler starts riding a bus, but seeing his neighbor walking, he decides to get off the bus and join him. they notice that Tyler's distance in meters to the home is y=450-72x, where x is the time in minutes after they meet.

Part A: What is the distance from the place tyler meets his neighbor to tyler's home, in meters?


Part B: What is the speed of Tyler in m/s?


Part C: Let y be the distance in meters from Tyler to the school, x is the time in SECONDS after he meets his neighbor. What is the equation of y in terms of x, is the distance from the school to his home is 800m?

Answers

The distance from the place Tyler meets his neighbor to his home is 450 meters.

Tyler's speed is 1.2 meters per second.

How to solve

Part A:

To find the distance from the place Tyler meets his neighbor to his home, we need to find the distance when x=0, since it's the time they meet. Plug x=0 into the equation y=450-72x:

y = 450 - 72(0)

y = 450

The distance from the place Tyler meets his neighbor to his home is 450 meters.

Part B:

To find the speed of Tyler, we need to find the rate at which the distance is decreasing. This can be found by taking the derivative of the distance function with respect to time:

dy/dx = -72

Since the derivative is constant, Tyler's speed is constant, and it is 72 meters per minute. To convert it to meters per second, we need to multiply by the conversion factor (1 minute = 60 seconds):

Speed = 72 m/min * (1 min / 60 s)

Thus, the speed = 1.2 m/s

Tyler's speed is 1.2 meters per second.

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3. The table below shows the relationship between the amount of electricity used by a customer in different months and the cost shown on the customer's electric bill. Month 1 2 3 4 Monthly Electric Bills for a Customer Amount of Electricity Used (kilowatt-hours) A 0.095x < 65.00 B. 0.095x> 65.00 C. 0.92x < 65.00 D. 0.92x> 65.00 290 350 460 500 Cost of Electricity Used ($) 27.55 33.25 43.70 47.50 Based on the information shown in the table, which inequality could be used to determine all the numbers of kilowatt-hours (x) of electricity a customer could use in a month for the cost to be less than $65.00?

Answers

The correct inequality is:

A. 0.095x < 65.00.

To determine the inequality that represents the numbers of kilowatt-hours a customer could use in a month for the cost to be less than $65.00, we need to look for the rate at which the cost of electricity changes with the amount of electricity used.

From the table, we can see that the cost of electricity increases as the amount of electricity used increases.

We can also see that the cost per kilowatt-hour (the rate) is not constant. For example, the cost per kilowatt-hour for the first month is:

27.55 / 290 ≈ 0.095

But for the fourth month, it is:

47.50 / 500 ≈ 0.095

This means that the rate is not constant, and we cannot simply use a proportion to determine the numbers of kilowatt-hours that will result in a cost of less than $65.00.

However, we can use the data to create an inequality that represents the numbers of kilowatt-hours that will result in a cost less than $65.00. We can start by finding the highest cost per kilowatt-hour:

43.70 / 460 ≈ 0.095

This means that the cost per kilowatt-hour is always less than or equal to 0.095.

Next, we can set up the inequality:

0.095x < 65.00

This inequality represents the numbers of kilowatt-hours that will result in a cost less than $65.00, because if the cost per kilowatt-hour is always less than or equal to 0.095, then the total cost will be less than $65.00 if and only if the number of kilowatt-hours used is less than 684.21 (which is the result of dividing $65.00 by 0.095).

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A police unit has deployed a tracking system on a highway with a speed limit of 65 mph. A driver passes through one radar detector at 2pm and is traveling 60 mph at that moment. Then, the driver passes through a second radar detector 159 miles away at 4pm, again traveling 60 mph at that moment. However, a speeding ticket is being issued for this driver. When he asked for an explanation, the response was "Mean Value Theorem. " Explain. Your report should include:
i- Detailed explanation about the mean value theorem.
ii- Detailed calculation steps. ​

Answers

The Mean-Value-Theorem is being used to explain why the driver received a speeding ticket even though they were traveling at exactly 60 mph at both radar-detectors. It suggests that there must have been a moment during the trip where the driver's speed was above the speed limit.

The Mean-Value Theorem is a theorem from calculus that states that for a continuous function on a closed interval, there exists at least one point in the interval where the instantaneous rate of change (the derivative) of the function is equal to the average rate of change of the function over the interval.

In this case, the police unit used the two radar detectors to determine the average-speed of the driver between the two points. The distance between the two detectors is 159 miles, and the time it took for the driver to travel that distance was 2 hours (from 2pm to 4pm), so the average speed of the driver was 159/2 = 79.5 mph.

However, the speed-limit on the highway is 65 mph, so the driver was exceeding the speed limit and received a speeding-ticket.

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Hannah's favorite toy character is sold wearing one of many outfits an outfit consists of one share one pair of pants and one


cap the shirt can be striped plane or polkadotted pants may be denim or played the account may be a cowboy hat wear a baseball cap if Hannah picks a toy at random from the shelf and there are an equal number of toys wearing age outfit what is the probability that the toy is dressed in a polkadotted shirt and a cowboy hat.


A. 1/8


B. 1/6


C. 1/4


D. 1/3


E. 1/2

Answers

The probability of the toy character wearing a polka-dotted shirt and a cowboy hat is P(polka-dot shirt and cowboy hat) = 2 / 12 = 1/6.

What is the probability of the toy character wearing a polka-dotted shirt and a cowboy hat in the number of outfits?

There are 3 choices for the shirt (striped, plain, or polka-dotted), 2 choices for the pants (denim or plaid), and 2 choices for the cap (cowboy or baseball). Therefore, there are a total of 3 x 2 x 2 = 12 different outfits that the toy character could be wearing.

The probability of the toy character wearing a polka-dotted shirt and a cowboy hat is the number of outfits with a polka-dotted shirt and a cowboy hat divided by the total number of outfits:

P(polka-dot shirt and cowboy hat) = number of outfits with a polka-dot shirt and cowboy hat / total number of outfits

To find the number of outfits with a polka-dotted shirt and a cowboy hat, we need to consider each clothing item separately. There is only 1 choice for the cowboy hat and only 1 choice for the polka-dotted shirt. There are 2 choices for the pants, but we don't care which pants the toy character is wearing. Therefore, the number of outfits with a polka-dotted shirt and a cowboy hat is:

1 (cowboy hat) x 1 (polka-dotted shirt) x 2 (pants) = 2

So the probability of the toy character wearing a polka-dotted shirt and a cowboy hat is:

P(polka-dot shirt and cowboy hat) = 2 / 12 = 1/6

Therefore, the answer is (B) 1/6.

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Help right now Asapppppp

Answers

The angles that belongs to the right angles category are:

∠KER∠ARE

What makes a right angle in a circle?

KER must be a right angle because it is an angle formed between a tangent (KE) and a radius (AK) at the point of tangency (K). By the Tangent-Secant Theorem, it follows that the measure of the intercepted arc KR is equal to the measure of the angle ∠KER plus 90 degrees. Since KR is a diameter (and therefore a semicircle), its measure is 180 degrees. Therefore, ∠KER + 90 = 180, which implies that ∠KER = 90 degrees.

∠ARE must be a right angle because it is an inscribed angle that intercepts the diameter KR. By the Inscribed Angle Theorem, the measure of an inscribed angle is half the measure of its intercepted arc. Since KR is a diameter, the intercepted arc is the entire circle, which has a measure of 360 degrees. Therefore, ∠ARE = 360/2 = 180 degrees. Moreover, a diameter and a chord that contains the diameter must form a right angle at the point where they meet (in this case, point A). Hence, ∠ARE is a right angle.

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Image transcribed:

The figure below shows a circle with center A, diameter KR, and secants RE and RI. Which of the angles must be right angles? Select all that apply.

Q

E

R

K

D

∠KIR

∠ARD

∠KER

∠ARE

∠ERI

a circular pool has a radius of 32 cm find its area?

Answers

Just use the formula for a cylinder.
Pi(R)^2(H)

What is the surface area of the square pyramid with base edge of 10 millimeters and a face height of 18 millimeters?
180 mm2

600 mm2

460 mm2

360 mm2

Answers

The surface area of the square base pyramid is calculated to be equal to 460 square millimetres.

How to calculate for the total surface area of the square base pyramid

area of one triangle face = 1/2 × 10 mm × 18 = 90 mm² mm

area of the four triangle faces = 4 × 90 mm² = 360 mm²

area of the square base = 10 mm × 10 mm = 100 mm²

surface area of the square base pyramid = 360 mm² + 100 mm²

surface area of the square base pyramid = 460 mm²

Therefore, the surface area of the square base pyramid is calculated to be equal to 460 square millimetres.

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Y’all I’m so confused, I got 38792.3. What am I doing wrong?

Answers

Answer:

38,772.72

Step-by-step explanation:

The formula for a sphere is

V=4/3 pi r^3

=4/3 3.14 21^3

=4/3 3.14 9,261

=4/3 29,079.54

=38,772.72

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=42 \end{cases}\implies V=\cfrac{4\pi (42)^3}{3}\implies \stackrel{ using~\pi =3.14 }{V\approx 310181.76}[/tex]

describe the sequence of transformations that could verify that the two triangles f and c are similar. give detail on each transformation. ​

Answers

The transformation that  verify that the two triangles f and c are similar are

RotationTranslationDilation

How to map the transformation of F to C

Rotation: The first procedure is rotating triangle C with center art vertex (-9, 2) counterclockwise 90 degrees

Translation: In this case, the triangle is to the right 1 unit and 2 units up

Dilation: The dilation factor here is 2. Using the vertex of of the point which is (-8, 0) as the center, dilate with a scale factor of two

The transformations described moves triangle F to triangle C

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PLEASE HELPPPP!!!!


The base of a right octagonal prism has eight sides equal in length. One side of the base measures 2. 3 cm, and the area of the base is 25. 76 cm². The surface area of the prism is 223. 56 cm².

Whats the height of the prism?

Answers

The height of the right octagonal prism is approximately 10.75 cm.

The given information states that the base of the prism is a regular octagon with each side measuring 2.3 cm, and the area of the base is 25.76 cm². Additionally, the surface area of the prism is 223.56 cm².

First, let's calculate the area of the eight lateral faces. We can do this by subtracting the base's area from the total surface area:

223.56 cm² (total surface area) - 25.76 cm² (base area) = 197.8 cm² (lateral area)

Now, we know that the lateral area is the sum of the areas of all eight rectangular faces. Each rectangle has a base of 2.3 cm (the same as the sides of the octagonal base) and a height equal to the height of the prism (h). Since there are eight faces, the combined area of these rectangles is 8 x 2.3 x h:

8 x 2.3 x h = 197.8 cm²

18.4 x h = 197.8 cm²

To find the height of the prism (h), we can divide both sides of the equation by 18.4:

h = 197.8 cm² / 18.4

h ≈ 10.75 cm

So, the height of the right octagonal prism is approximately 10.75 cm.

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A tree’s cross sectional area is called its basal area and is measured in square inches. Tree growth can be measured by the growth of the tree’s basal area. The initial base area of tree observed by a biologist is 154 square inches and annual growth rate is 6%. What will be the basal area after 10 years of growth?

Answers

The basal area of the tree after 10 years of growth would be approximately 279.7 square inches.

Given the initial basal area of a tree, which is 154 square inches, and the annual growth rate, which is 6%. To find out what the basal area of the tree will be after 10 years of growth.

By using the formula for compound interest, which can be applied to the growth of the basal area over time. The formula is:

A = P(1 + r)ⁿ

where:

A is the final amount

P is the initial amount

r is the annual growth rate

n is the number of years

To find A, the final basal area of the tree after 10 years of growth. We know that P is 154 square inches, r is 6% or 0.06 and n is 10.

By applying these values in the formula, we get:

A = 154(1 + 0.06)¹⁰

A = 154(1.06)¹⁰

A = ≈ 279.7

Therefore, the basal area of the tree after 10 years of growth would be approximately 279.7 square inches.

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Please upload a picture of a piece of paper with the problem worked out, and draw the graph for extra points, there will be 6 of these, so go to my profile and find the rest, and do the same, for extra points.

Answers

The solution of the system of equations is given by the ordered pair (-4, 5).

How to graphically solve this system of equations?

In order to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

x - y = -9    ......equation 1.

3x + 4y = 8  ......equation 2.

Based on the graph shown in the image attached above, we can logically deduce that the solution to this system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant II, and it is given by the ordered pairs (-4, 5).

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Fill in the table by converting from 12 hour clock to 24 hour clock and vice versa ​

Answers

Converting time from the 12-hour clock format to the 24-hour clock format, and vice versa, can be a bit confusing at times, but it's not that difficult once you know how to do it.

To convert from the 12-hour clock format to the 24-hour clock format, simply add 12 hours to any time after 12:00 p.m. For example, if it's 3:00 p.m., you add 12 hours to get 15:00 (3:00 p.m. in 24-hour format). If it's 11:00 p.m., you add 12 hours to get 23:00 (11:00 p.m. in 24-hour format).

Conversely, to convert from the 24-hour clock format to the 12-hour clock format, simply subtract 12 hours from any time after 12:00 p.m. For example, if it's 16:00 (4:00 p.m.) in 24-hour format, you subtract 12 hours to get 4:00 a.m. in the 12-hour format. If it's 22:00 (10:00 p.m.) in 24-hour format, you subtract 12 hours to get 10:00 a.m. in the 12-hour format.

To help you with these conversions, here is a table with some examples:

| 12-hour clock format | 24-hour clock format |
|---------------------|---------------------|
| 12:00 a.m.          | 00:00               |
| 1:00 a.m.           | 01:00               |
| 2:00 a.m.           | 02:00               |
| 3:00 a.m.           | 03:00               |
| 4:00 a.m.           | 04:00               |
| 5:00 a.m.           | 05:00               |
| 6:00 a.m.           | 06:00               |
| 7:00 a.m.           | 07:00               |
| 8:00 a.m.           | 08:00               |
| 9:00 a.m.           | 09:00               |
| 10:00 a.m.          | 10:00               |
| 11:00 a.m.          | 11:00               |
| 12:00 p.m.          | 12:00               |
| 1:00 p.m.           | 13:00               |
| 2:00 p.m.           | 14:00               |
| 3:00 p.m.           | 15:00               |
| 4:00 p.m.           | 16:00               |
| 5:00 p.m.           | 17:00               |
| 6:00 p.m.           | 18:00               |
| 7:00 p.m.           | 19:00               |
| 8:00 p.m.           | 20:00               |
| 9:00 p.m.           | 21:00               |
| 10:00 p.m.          | 22:00               |
| 11:00 p.m.          | 23:00               |

In conclusion, converting time from the 12-hour clock format to the 24-hour clock format and vice versa is an essential skill to have, especially for those who work in industries that require precise timing. With a bit of practice, anyone can easily master this skill and use it effectively in their day-to-day lives.

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how many minutes are required for 175 gpm to pass the entire 1500-foot length of a 12-inch diameter pipeline

Answers

To calculate the time required for 175 gallons per minute (gpm) to pass through a 1500-foot length of a pipeline with a 12-inch diameter, we can follow these steps:

Convert the diameter from inches to feet:

12 inches = 12/12 = 1 foot

Calculate the cross-sectional area of the pipeline using the formula for the area of a circle:

Area = π *[tex](radius)^2[/tex]

Radius = diameter/2 = 1/2 = 0.5 feet

Area = π *[tex](0.5)^2[/tex] = 0.785 square feet

Convert the flow rate from gallons per minute (gpm) to gallons per second (gps):

175 gpm = 175/60 gps

Calculate the velocity of the flow using the formula:

Velocity = Flow rate / Cross-sectional area

Velocity = (175/60) / 0.785 = 3.56 feet per second (rounded to two decimal places)

Calculate the time required to pass the entire 1500-foot length of the pipeline using the formula:

Time = Distance / Velocity

Time = 1500 / 3.56 = 421.35 seconds (rounded to two decimal places)

Convert the time from seconds to minutes:

421.35 seconds = 421.35/60 minutes = 7.02 minutes (rounded to two decimal places)

So, it would take approximately 7.02 minutes for a flow rate of 175 gpm to pass through the entire 1500-foot length of a 12-inch diameter pipeline.

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Imagine that the price per gallon of gas with a $7 car wash is $3. 19 and the price without the car wash is $3. 39. When is it worth it to buy the car wash? When is it worth it if the car wash costs $2?

Answers

if we need to purchase more than 10 gallons of gas, it is worth it to buy the car wash that costs $2.

When is it worth buying a $7 car wash with gas priced at $3.19 per gallon instead of buying gas without a car wash priced at $3.39 per gallon?

With a car wash, the price per gallon is $3.19, which is $0.20 less than the price without a car wash ($3.39).

To determine whether it is worth it to buy the car wash, we need to calculate the cost savings per gallon by purchasing the car wash.

Cost savings per gallon = Price without car wash – Price with car wash

Cost savings per gallon = $3.39 – $3.19 = $0.20

So, if the car wash costs less than $0.20 per gallon, it is worth it to purchase it.

If the car wash costs $2, we need to determine how many gallons of gas we need to purchase in order for the cost savings to be greater than $2.

Let's assume we purchase x gallons of gas. The cost savings for purchasing the car wash will be:

Cost savings = x gallons × $0.20 per gallon = $0.20x

We want to find the value of x that makes the cost savings greater than $2:

$0.20x > $2

x > $2 ÷ $0.20

x > 10

Therefore, if we need to purchase more than 10 gallons of gas, it is worth it to buy the car wash that costs $2.

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Nick used his credit card to make several large purchases, and now owes the credit card company $4,273 plus 32% interest. His mother gave him $500 for h


birthday. Which is the most responsible choice he can make regarding his birthday money?


A He can put $250 into a savings account that pays 3. 8% interest and pay down his credit card debt with the rest.


B. He can put all the birthday money in the 3. 8% savings account


о


C. He can use all the money to pay down his credit card debt.


O D. He can invest $200 in the stock market and pay down his credit card debt with the rest.

Answers

The most responsible choice for Nick regarding his birthday money would be option C, which is to use all the money to pay down his credit card debt.

This is because credit card debt  generally comes with high- interest rates, and it can be  grueling  to pay off the debt if the interest keeps adding up. By using the$ 500 to pay down his credit card debt, Nick can reduce the  quantum he owes and, as a result, pay  lower interest in the long run.   Options A and D suggest  unyoking the  plutocrat between paying down debt and investing/ saving, which may not be the stylish choice given Nick's current  fiscal situation.

Option B suggests putting all the  plutocrat into a savings  regard with a lower interest rate, which would not be as effective in reducing his credit card debt. thus, option C is the most responsible choice for Nick.

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A business award is in the shape of a regular hexagonal pyramid. the height of the award is 95 millimeters and the base edge is 44 millimeters.



what is the surface area of the pyramid to the nearest square millimeter?

Answers

The surface area of the hexagonal pyramid is 75240 square millimeters to the nearest square millimeter.

The surface area of the hexagonal pyramid can be calculated by finding the sum of the areas of its faces. The hexagonal pyramid has a base with six equal sides of length 44 millimeters, and six identical triangular faces with a height of 95 millimeters.

Each triangular face is an isosceles triangle, with two sides of length 44 millimeters and a base of length equal to the perimeter of the hexagonal base, which is 6 times 44 millimeters, or 264 millimeters.

To calculate the area of each triangular face, we can use the formula for the area of an isosceles triangle, which is (base x height) / 2. Substituting the values we have, we get: Area of each triangular face = (264 x 95) / 2 = 12540 square millimeters

Since the hexagonal pyramid has six identical triangular faces, we can multiply the area of one triangular face by 6 to get the total surface area of the pyramid: Total surface area = 6 x 12540 = 75240 square millimeters.

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What is the unknown fraction?

eight tenths plus unknown fraction equals ninety seven hundredths

seventeen hundredths
eighty nine hundredths
one hundred five hundredths
one hundred seventy seven hundredths

Answers

1. Write out the given equation: 8/10 + unknown fraction = 97/100

2. Subtract 8/10 from both sides of the equation to isolate the unknown fraction:

  8/10 + unknown fraction - 8/10 = 97/100 - 8/10

  Simplifying the left side: unknown fraction = 97/100 - 8/10

3. Convert both fractions to have a common denominator of 100:

  97/100 - 8/10 = 97/100 - 80/100

  Simplifying the right side: unknown fraction = 17/100

4. Therefore, the unknown fraction is 17/100.

So, the correct answer is "seventeen hundredths".

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Hi! I'm in desperate need of your assistance, please!!

Answers

Answer: x = 47

Step-by-step explanation:

45 + x = (2x - 2)

add 2 to both sides

47 + x = 2x

subtract x on both sides

47 = x

Issac wants to save up some money to buy a new smartphone, so he babysits on the weekends. There is a proportional relationship between the time Oscar spends babysitting(in hours) , z, and the amount of money he earns babysitting(in dollars) , y. What is the constant of proportionality? Write your answer as a whole number or decimal

Answers

The constant of proportionality represents the rate at which Issac earns money while babysitting and can be found by dividing the amount of money he earns by the time spent babysitting.

Let's say that Issac earns $10 per hour of babysitting. Then, the constant of proportionality would be:

$10 per hour = $10/1 hour = 10

Therefore, the constant of proportionality is 10, which means that Issac earns $10 for every hour of babysitting. This relationship is an example of proportionality because the amount of money earned is directly proportional to the time spent babysitting. As Issac spends more time babysitting, he will earn more money in a proportional relationship.

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Terrell arranges x roses at $3. 50 each with 10 carnations at $2. 25 each. He makes a bouquet of flowers that averages $3. 00 per flower. Choose an equation to model the situation

Answers

The equation models the situation described in the problem is 3.50x + 2.25(10) = 3 (x + 10) . The correct answer is C.

To model the situation described in the problem, we need to use an equation that represents the total cost of the flowers in terms of the number of roses (x) and the number of carnations (10). Let's assume that the cost of each flower is proportional to its price, and that the average cost per flower is the total cost divided by the total number of flowers (x + 10).

The cost of x roses at $3.50 each is 3.50x, and the cost of 10 carnations at $2.25 each is 2.25(10) = 22.50. Therefore, the total cost of the bouquet is:

Total cost = 3.50x + 22.50

The average cost per flower is given by:

Average cost = Total cost / (x + 10)

We are told that the average cost per flower is $3.00, so we can set up an equation:

3.00 = (3.50x + 22.50) / (x + 10) or  3.50x + 2.25(10) = 3 (x + 10)

This equation models the situation described in the problem. We can solve for x to find the number of roses needed to make a bouquet that meets the given conditions. The correct answer is C.

Your question is incomplete but most probably your full question attached below

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What is the horizontal distance between (16, -24) to (-3, -24)
-13 units
-19 units
13 units
19 units

Answers

The horizontal distance between (16, -24) and (-3, -24) is 19 units.

Explanation:

We can calculate the horizontal distance by finding the difference between the x-coordinates of the two points.

Horizontal distance = difference in x-coordinates = (-3) - 16 = -19

However, the distance is negative, which doesn't make sense as distance is always positive. So we take the absolute value of the difference to get the actual distance.

|Horizontal distance| = |-19| = 19

Therefore, the horizontal distance between the two points is 19 units.

The main span of a suspension bridge is the roadway between the bridges towers. The main span of the Walt Whitman Bridge in Philadelphia is 2000 feet long. This is 600 feet longer than two-fifths of the length of the main span of the George Washington Bridge in New York City. Write an equation to represent the given problem and solve it to find the length of the main span of the George Washington Bridge

Answers

The length of the main span of the George Washington Bridge is 3500 feet.

Let x be the length of the main span of the George Washington Bridge.

We know that the main span of the Walt Whitman Bridge is 600 feet longer than two-fifths of the length of the main span of the George Washington Bridge, so we can write the equation:

2000 = (2/5)x + 600

To solve for x, we can start by isolating the term with x on one side of the equation:

(2/5)x = 2000 - 600

(2/5)x = 1400

Then, we can solve for x by multiplying both sides by the reciprocal of (2/5):

x = 1400 / (2/5)

x = 3500

Therefore, the length of the main span of the George Washington Bridge is 3500 feet.

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x An investor puts $4,500 into a life insurance policy that pays 8.0% simple annual interest. If no additional investment is made into the policy, how much accumulated interest should the investor expect at the end of 8 years?​ HELP PLEASE

Answers

The amount of accumulated interest the investor can expect in 8 years is $2,880.

How to find the accumulated interest ?

To calculate the accumulated interest on the life insurance policy, we can use the simple interest formula:

I = P x r x t

In this case, the principal amount invested is $4,500, the annual interest rate is 8.0% (or 0.08 as a decimal), and the time period is 8 years. Therefore:

I = 4,500 x 0.08 x 8

I = $2,880

Therefore, the investor can expect to earn $2,880 in accumulated interest at the end of 8 years.

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simplified ration of squares to total shapes is 6:16 for every 3 squares there are how many total shapes there fore the simplified ratio of squares to total shape is what

Answers

For every 3 squares, there are 5 total shapes. Therefore, the simplified ratio of squares to total shapes is 3 : 5.

What is the simplified ratio of squares to total shapes?

If the unsimplified ratio of squares to total shapes is 6 : 16, then we can express this as 6/16, then,we can simplify this ratio by dividing both the numerator and denominator by 2, giving us 3/8.

This means that for every 3 squares, there are 5 total shapes. Therefore, the simplified ratio of squares to total shapes is 3 : 5.

Full question "Unsimplified ratio of squares to total shapes: 6 : 16. For every 3 squares, there are ____ total shapes; Therefore, the simplified ratio of squares to total shapes is __ : __.

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what’s the coefficients of the polynomials?

Answers

Answer:

The numbers preceding a variable

Step-by-step explanation:

The coefficients are the number before the variable.

Finding Coefficients

All variables are multiplied by some coefficient. Sometimes those coefficients are one or another number. Take the variable 5x. The coefficient is 5. Since 5 is the number that comes before the variable, it is the coefficient. Additionally, the variable x has a coefficient of 1 because x is multiplied by 1.

Polynomial Example

Every variable within a polynomial can have a unique variable. For example, 3x⁶+5x³+2x². The first coefficient is 3, then 5, then 2. Coefficients are simply the constants that a variable is multiplied by. It does not matter what the variable is or the exponent.

WHATS THE AREA PLEASE HELP DUE in 5 minutes

Answers

Answer:

The answer to your problem is, 201.06 or 201.1

Step-by-step explanation:

To find the area you use the formula:

A = π [tex]r^2[/tex]

R = Radius

A = Area

We know the radius of the circle is 8

So replace A = π [tex]r^2[/tex]

= π × 8 ≈ 201.06193

Or 201.06 or 201.1

Thus the answer to your problem is, 201.06 or 201.1

Mrs. davis is traveling for business. she flew from atlanta to washington, d.c. (547 miles) then rented a car and drove to baltimore (6 miles) for another meeting by the time she got home, how many total miles had she travelled?

Answers

Mrs. Davis travelled a total of 553 miles.

This can be calculated as:

Distance covered when she flew from Atlanta to Washington d.c.= 547 miles

Distance covered when she rented a car and drove to Baltimore = 6 miles.

Therefore, total miles can simply be calculated as:

Distance covered when she flew from Atlanta to Washington d.c + Distance covered when she rented a car and drove to Baltimore = 547miles+ 6 miles

                                                                                             = 553 miles

Hence, the total miles Mrs. davis travelled is equal to 553 miles.

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