A triangle has side lengths of 11 cm and 9 cm. Which could be the value of the third side, 20 cm or 15 cm?

There are several vendors at the carnival who sell products and also advertise their businesses.
​Steve works for a recreational company that sells ATVs, dirt bikes, snowmobiles, and motorcycles.

​His boss paid him $500 for working all of the days at the carnival plus 5% commission on all of the sales made at the carnival.

​What was the minimum amount of sales Steve needed to sell if he earned more than $1,500?

Answers

Answer 1

Answer:

Step-by-step explanation:

third side is <11+9 or <20cm

or >11-9 or >2

so third side=15 cm

Let x be the sale.

Then 500+.05x>1500

.05x>1500-500

.05 x>1000

x>$2000

minimum sale=$2000

Answer 2

Answer:

Length of Third Side = 15 cm,

Steve Sold More than $ 20,000

Step-by-step explanation:

1 . Consider the Triangle Inequality Theorem, as to solve for the length of the third side;

[tex]Triangle Inequality Theorem -\\\\| a - b | < c < a + b,\\| c - a | < b < c + a,\\| c - b | < a < c + b,\\\\Say, a = 11 cm, b = 9 cm, c = 20 -\\\\11 - 9 < 20 < 11 + 9,\\20 - 11 < 9 < 20 + 11,\\20 - 9 < 11 < 20 + 9\\\\As 20 = 20, not 20 < 20 -\\Conclusion ; Length of Third Side = 15 cm[/tex]

2 . Consider c - commission $;

[tex]5percent - FractionForm, -\\5 / 100 - Simplified -\\1 / 20,\\[/tex]

[tex]Inequality - 500 + 1 / 20 * c > 1,500,\\500 + 1 / 20 * c > 1,500 =\\1 / 20c > 1,000,\\c > 20,000 -\\Conclusion ; Steve Sold More Than 20,000 Dollars[/tex]


Related Questions

90°
30
==
Help me please

Answers

Answer:

90

Step-by-step explanation:

If there is a straight line and 1 angle is 90 degrees, the angle next to it is also 90 degrees.

Answer:

x = 90°

Step-by-step explanation:

Since x and 90° share the same straight line, they are supplementary, meaning they must add up to 180°. Hence x must be 180-90 = 90.

Which equation matches the following graph?


Options:

y = x^2

y = -x^2

x = y^2

x = -y^2

Answers

The answer is: [tex]y=-x^2[/tex].

Hope this helps.

At a cafe

2 teas + 1 coffee​ cost= £3.40

1 tea and 4 coffees cost=£7.30

Work out the cost of 1 tea and the cost of 1 coffee?


Step by step explanation​, pleaseeeee

Answers

Answer:

cost of 1 tea= £1.08

cost of 1 coffee= £1.24

Step-by-step explanation:

Please see the attached picture for full solution

Help please with questions 1-2
15 points

Answers

Answer:

1)  C)[tex]\sqrt{149}[/tex]

2) A) Yes

Step-by-step explanation:

Paul is looking at a detailed plan showing the layout of the extension with the new equipment, He knows the new oven will be 1.5 meters wide and on the plan it measures 7.5 centimeters.

What scale is used on the plan?

Answers

Answer:

Scale = 1/200 = 1 : 200

Therefore, 1 centimeter on the plan represent 200 centimeters on the original length.

Step-by-step explanation:

Scale is the ratio of the original object to the drawn plan.

Scale = plan : original

Scale = plan length ÷ original length

Plan length = 7.5 centimeters

Original length = 1.5 meters = 1,500 centimeters

Substituting the values;

Scale = 7.5/1500 = 1/200

Scale = 1 : 200

Therefore, 1 centimeter on the plan represent 200 centimeters on the original length.

h = -162 +64t +960.
What is the maximum height?

Answers

Answer:

2 seconds to reach maximum height

Step-by-step explanation:

Tia measured the daily high temperature in Kats, Colorado for each of the 30 days in April. She then created both a dot plot and a box plot to display the same data (both diagrams are shown below). Which display makes it easier to see that the third quartile is 14 degrees C

Answers

Answer:

A box plot would make it easier to see that the third quartile is 14 degrees C.

Step-by-step explanation:

On a box plot, the right end of the box gives the exact value of the third quartile. On a dot plot, you would have to identify the value based on the number of dots shown.

Answer:

Box plot and dot plot

Step-by-step explanation:

Because I checked.

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get me to brainliest

Peace out

What is being constructed based on the markings in the following diagram?

Line AB with two points C and D on each side of the line; a circle is created with center C passing through point D, and the intersection of circle C with line AB creates points E and F such that point A is between points E and F and point F is between points A and B. Point G is not located on line AB and is on the same side as point D. A circle is created with center F and a radius of FG, and another circle is created with the same radius from point E. Points H and I are intersecting points of circles E and F, and a line is drawn through points H and I.

Inscribed regular hexagon
Inscribed equilateral triangle
Perpendicular line through a point off a line
Perpendicular line through a point on a line

Answers

Answer:

The correct option is;

Perpendicular line through a point off a line

Step-by-step explanation:

Based on the markings in the diagram, we have;

Marking points E and F along AB extended forms two points equidistant from the point C on the line AB

Construction of the line HI by using equal arc lengths from E and F creates two points equidistant from E and F on either side of the line AB such that HI passes through C forming a perpendicular bisector from C to AB.

Therefore, a perpendicular line has been constructed from the point C off the line AB to the line AB

Hence the correct option is the construction of a perpendicular line through a point off a line.

Marie dreamed of chocolate, but it lacked $10. Vaso also dreamed of a chocolate, but he lacked $1. Children decided to buy at least one chocolate for two, but they still need $1. What is the cost of the chocolate?

Answers

Answer:

10$

Step-by-step explanation:

math

Answer:

10

Step-by-step explanation:

because i know

Complete each step in the following solution.
10x + 8 = 3(x – 2)

10x + 8 = 3x ___
7x = ___
x = -2

Answers

A:  10x + 8 = 3(x – 2)

     10x + 8 = 3x – 6

     7x =  – 14

     x = -2

Step 1 : Multiplying 3 with -2, we get -6

Step 2 : Subtract -6 and 8 , we get -14

Step 3 : We get x = -2

What is an equation?

"An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign. Solving an equation containing variable consists of determining which values of the variables make the equality true."

Given equation

10x + 8 = 3(x – 2)

In this step by multiplying 3 with -2, we get -6

10x + 8 = 3x - 6

Subtract the variables

Subtract -6 and 8 , we get -14

7x = -6 - 8

7x = -14

Divide with 7 on both sides, we get

x = -2

Hence these are the following steps to get x = -2

Step 1 : Multiplying 3 with -2, we get -6

Step 2 : Subtract -6 and 8 , we get -14

Step 3 : We get x = -2

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Is (0,0) a solution to this system?

Answers

0,0 is not a solution to the system

Answer:

D.

Step-by-step explanation:

If you substitute (0,0) then the inequality is not true in both cases. This accounts for answer D.

The pieces on a chessboard are either white or black. Of the pieces remaining on a chessboard, the probability of randomly picking a white piece is 5/12 What is the probability of randomly picking a black piece?

A. 5/12
B. 1/2
C. 7/12
D. 2/3

Answers

7/12

12/12 is the total

So 12/12 minus 5/12 is 7/12

Correct me if I am wrong

Which expression can be used to convert 100 USD to Japanese yen?

100usd[99.30487yen/1usd]


100usd[1usd/99.30487yen]


100usd[0.01007yen/1usd


100usd[99.30487usd/1yen]


Answers

Answer:

a. 100usd{99.30487yen/1usd}

Solve for X (BRAINLIEST)

Answers

Answer:

x = 24

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

x             6

------ = -----------

x+8         8

Using cross products

8x = 6*(x+8)

8x = 6x+48

Subtract 6x from each side

8x-6x = 48

2x = 48

Divide by 2

2x/2 = 48/2

x = 24

Answer:

x = 24

Step-by-step explanation:

Very similar to the previous problems of this type, these two triangles have a shared angle A and both have a right angle, prove AA similarity.

From there, we can set up a ratio:

(x+8)/x = 8/6

Multiply both sides by x:

x+8 = 8x/6

Multiply both sides by 6:

6x+48 = 8x

Move the 6x to the right:

48 = 2x

Divide both sides by 2:

x = 24

Please help with this

Answers

Answer:

The answer would be D

Step-by-step explanation:

Answer:

D

The triangle moved 6 units right and one unit up.

Which formula could be used to find the volume of a cube with side length equal to s?

s cubed
(6) (s squared)
s squared
(6) (s cubed)

Answers

Answer:

s cubed

Step-by-step explanation:

Formula for volume of a cube is side ^3

The volume of cube with side length s is s cubed.

What is cube?

A cube is a region of space formed by six identical square faces joined along their edges.

What is the formula for the volume of cube?

The volume of cube is defined as the total number of cubic units occupied by a cube.

The Formula for the volume of cube is given by

[tex]v = a^{3}[/tex]

Where, v is the volume of cube

and, a is the side of cube.

According to the given question we have

The side length of cube is s.

Therefore, the formula for finding the volume of cube is given by

volume of cube = [tex]s^{3}[/tex]

Hence, the volume of cube with side length s is s cubed.

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Given: 22 and 24 are vertical angles
Prove: Z2 Z4

Answers

Answer:

Where is the picture?  Also, Im kinda confused

Step-by-step explanation:

If 40 people buy lemonade while at the
food stand, what percent of the people
bought lemonade? Illustrate on the
number line.

Answers

Answer: transforms

Step-by-step explanation:

A bolt is to be made 2.0 cm long with a tolerance of 4%. Set up an equation to solve for the shortest and longest bolt length. Show your original equation and the process used to find the shortest and longest bolt length.

Answers

Answer:

The equations are:

[tex]\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\[/tex]

Step-by-step explanation:

The ideal length of the bolt is 2.0 cm, since it has a tolerance of 4%, this means that length values between [tex]2 + \frac{4}{100}*2[/tex] and [tex]2 - \frac{4}{100}*2[/tex] are acceptable, because by those expressions the length of the bolt will be 4% higher or lower than it's original length. With this in mind let's find it's values:

[tex]\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\[/tex]

(1.3 x 10-2) (0.05) = ?

Answers

Answer:

=0.065x10−0.1

Step-by-step explanation:

(1.3x10−2)(0.05)

=(1.3x10+−2)(0.05)

=(1.3x10)(0.05)+(−2)(0.05)

=0.065x10−0.1

Answer: 0.55

Step-by-step explanation:

1.3 x 10= 13

13-2= 11

11  x 0.05= 0.55

BOOM! math.

The function F is defined by f(x) = 3x-5 over x+6 find f(5x)

Answers

Answer:

[tex]\frac{15x-5}{5x+6}[/tex]

Step-by-step explanation:

Given

f(x) = [tex]\frac{3x-5}{x+6}[/tex]

To evaluate f(5x) substitute x = 5x into f(x)

f(5x) = [tex]\frac{3(5x)-5}{5x+6}[/tex] = [tex]\frac{16x-5}{5x+6}[/tex]

The equations of three lines are given below.
Line 1: 10x - 4y= -4
Line 2: 5y = –2x+3
2
Line 3: y = -7X-4
5
fx-4
For each pair of lines, determine whether they are parallel, perpendicular, or neither.

Answers

Answer:

3

Step-by-step explanation:

Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?

Answers

Answer:

C. f(x) = x4(x – a)(x – b)2

Step-by-step explanation:

just took the test on edge

A function which could represent the above graph is: C. f(x) = x⁴(x - a)(x - b)².

How to interpret the graph?

In Mathematics, the nature of the intercept on a polynomial graph highlights the nature of its multiplicity. Also, the polynomial graph has no single zero (factor) but bounced off the x-axis at three (3) different locations.

This ultimately implies that, the polynomial graph has an even multiplicity at these three (3) points:

x⁴x - a(x - b)²

In conclusion, a function which could represent the above graph is f(x) = x⁴(x - a)(x - b)².

Read more on multiplicity here: https://brainly.com/question/3791218

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Solve the inequality for x. –8x + 16 > –72 A) x 7 D) x > 11

Answers

Answer:

x < 11

Step-by-step explanation:

–8x + 16 > –72

Let's transfer the components which do not contain x to the right side and change sign of these components

-8x > -72 - 16

Now, we simplify the right side

-8x > -88

We then multiply both sides by (-1/8) and change the greater symbol to smaller symbol

(-1/8)*(-8)x < (-1/8)*(-88)

Finally, we simplify both sides to solve this inequality

x < 11

Hope this helps!


Al uses a box in the shape of a rectangular prism as shown in the diagram to for his coin collection.

What is the volume of the box?

192in³
275in³
37512 in³
425in³

Answers

425 cubic inches

Multiple the base (12.5) by the width (8.5) by the height (4)

Answer:

425 in.^3

Step-by-step explanation:

volume = length * width * height

Change all mixed numerals into decimals.

volume = 12.5 in. * 8.5 in. * 4 in.

Now use a calculator to multiply the three numbers together.

volume = 425 in.^3

Please use a system of equations to solve this problem. I already know how to solve this, but I want to know how to solve it using a system of equations!!! A writing workshop enrolls novelists and poets in a ratio of 5:3. There are 24 people at the workshop. How many novelists are there and how many poets are there?

Answers

Answer:

[tex]\boxed{\sf \ \ \ 15 \ \ novelists \ \ and \ \ 9 \ \ poets \ \ \ }[/tex]

Step-by-step explanation:

hello,

let's note a the number of novelists and

b the number of poets.

we know that a = 5/3 b as "enrolls novelits and poets in a ratio of 5:3"

it comes 3a=5b which is the first equation

and we know that a + b = 24 "there are 24 people"

we we have two equations

(1) 3a - 5b = 0

(2) a + b = 24

let's multiply (2) by 3 it comes 3a + 3b = 24*3 = 72

let's do 3*(2) - (1) it comes

3a + 3b -3a + 5b = 72 - 0 = 72

so 8b = 72

so b = 9

and then we replace b in (2) it comes

a = 24-9 = 15

hope this helps

Which of the following are solutions to the equation below?
Check all that apply.
6x2 - 2x + 36 = 5x2 + 10x
O A. 18
B. 4
C. 6
D. -6
O E. -3
F. -4

Answers

Answer:

B. 4

Step-by-step explanation:

Rearrange the equation so that is in the form (ax² + bx + c = 0).

6x² - 3x + 36 = 5x² + 10x

x² - 3x + 36 = 10x

x² - 13x + 36 = 0

Now, factor the equation and solve for x.

x² - 13x + 36 = 0

(x - 4)(x - 9) = 0

x - 4 = 0

x = 4

x - 9 = 0

x = 9

The solutions to the equation are 4 and 9.  The correct answer choice is B.

Answer:

The answer B.4

Step-by-step explanation:

Arrange the equation so that is in the form

(ax² + bx + c = 0).

6x² - 3x + 36 = 5x² + 10x

x² - 3x + 36 = 10x

x² - 13x + 36 = 0

the equation and solve for x.

x² - 13x + 36 = 0

(x - 4)(x - 9) = 0

x - 4 = 0

x = 4

x - 9 = 0

x = 9

ONE HUNDRED POINTS AND BRAINIEST! The table shows the grades earned by students in Mr. Rawson class on a math test.
Test grades
---------------------------------------------------------------
| 75.8 | 80.5 | 85.6 | 90.1 | 78.2 |
---------------------------------------------------------------
| 81.6 | 89.9 | 84.2 | 74.1 | 92.5 |
----------------------------------------------------------------
| 97.3 | 72.2 | 96.5 | 80.8 | 88.3 |
-----------------------------------------------------------------
| 94.0 | 87.9 | 76.9 | 93.7 | 73.5 |
-----------------------------------------------------------------
| 84.5 | 86.1 | 88.3 | 83.7 | 85.4 |
-----------------------------------------------------------------
A. Should the data be shown as a bar graph or a histogram?

B. Make an appropriate graph for the data. Be sure to label your graph.

Answers

Answer:

Histogram

Step-by-step explanation:

A histogram because it's more appropriate to calculate numbers like these. Unfortunally I can't make a whole graph for you tho but if you want an example of histogram this is one

3√81\125 simplyfy these

Answers

Answer:

[tex]\frac{27}{125}[/tex] or 0.216

Step-by-step explanation:

Assuming you meant 3 × (√81) ÷ 125 =

3 × 9 ÷ 125 =

27 ÷ 125 = [tex]\frac{27}{125}[/tex] = 0.216

Please help with this simple attachment Extremely Easy!

Answers

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

[tex]1/12 \times 3/4[/tex]

[tex]3/48[/tex]

[tex]=1/16[/tex]

Answer:

1/16 ft^2

please see the attached picture for full solution

hope it helps

Good luck on your assignment

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