The number of wrecks at a certain intersection varies directly as the number of cars that travel through the intersection. If there are 31 wrecks when 1,085 cars have traveled through the intersection, how many cars have passed through the intersection after 7 wrecks?

Answers

Answer 1

The number of cars that have passed through the intersection after 7 wrecks is 1/5 cars

Direct variationNumber of wrecks = wNumber of cars = c

w = k × c

31 = k × 1,085

31 = 1,085k

k = 1085/31

k = 35

If w = 7

w = k × c

7 = 35 × c

7 = 35c

c = 7/35

c = 1/5 car

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Related Questions

What do large differences of the mean of each group indicate

Answers

The Actual Question:

What do large differences of the means of each group indicate? Select the correct answer.

A. The large differences do not indicate any Significant meaning in the given context.

B. The peppers with different weights aren't properly distributed between the two groups.

C. There is not enough information to analyze the differences.

D. The peppers with different weights are properly distributed between the two groups

Answer:

B. The peppers with different weights aren't properly distributed between the two groups.

What is a mean?

A quantity having a value intermediate between the values of other quantities; an average, especially the arithmetic mean.

The considerable discrepancies in the means of each group imply that: B. the peppers with varying weights are not adequately divided across the two groups.

So in the given situation above in the question, it can be concluded that large differences of the means from each group indicates that the peppers that are not properly distributed between the 2 different groups have different weights.

Need help with this geometric question

Answers

Answer: QN=19

Step-by-step explanation:

Diagonals of an isosceles trapezoid are congruent, so NQ=PM.

By the segment addition postulate, NQ=QR+RN=3x+7.

So,

[tex]6x-5=3x+7\\\\3x-5=7\\3x=12\\\\x=4[/tex]

So, [tex]QN=3(4)+7=\boxed{19}[/tex]

Kira plans to buy a used van that costs $14,000. The dealer requires a 20% down payment. The rest of the cost is
financed with a 4-year, fixed-rate amortized auto loan at 3.5% annual interest with monthly payments.
22
Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent
if necessary. If necessary, refer to the list of financial formulas.
(a) Find the required down payment.
S

$ 0
(b) Find the amount of the auto loan.
Aa
(c) Find the monthly payment.

Answers

A: 2800

B: 11200

C: 250.39 per month

Evaluate 3a-5b when a=-3 and b=-2

Answers

Answer: 1

Step-by-step explanation:

Substituting in the given values,

3a-5b=3(-3)-5(-2)=-9+10=

¿A qué porcentaje anual se han impuesto Q. 8000.00 que en 32 días han producido Q. 140.00? ¿ A qué porcentaje anual se han impuesto Q. 8000.00 que en 32 días han producido Q. 140.00 ?​

Answers

Based on the amount being taxed, the period of taxation, and the tax, the annual percentage of tax is 19.96%.

What is the annual tax percentage?

Assuming this rate was x, the following formula would apply:

Annual rate/ 365 days a year x number of days x amount to be taxed = Tax amount

Solving gives:

x/365 x 32 x 8,000 = 140

701.369863x = 140

x = 140 / 701.369863

= 19.96%

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f of x is equal to 4x divided by the quantity of x minus 16 end quantity.

Answers

The zero of the equation is 0. Since degree of denominator is greater than degree of numerator, therefore, the horizontal asymptote is y=0

Asymptotes and zeros of a function

The zero of the function is the point where the function is zero

Given the function below

f(x) = 4x/x-16

For the zeros

0 = 4x/x -16

4x = 0

x = 0

Hence the zero of the equation is 0

The vertical asymptote is the point where the denominator is zero

x - 16 = 0
x = 16

Since degree of denominator is greater than degree of numerator, therefore, the horizontal asymptote is y=0

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To purchase 13700 worth of restaurant equipment for her business Maria made a down payment of 1500 and took out a business loan for the rest after 3 years of paying monthly payments of 371.16 she finally paid off the loan

What was the total amount Maria ended up paying for the equipment

How much internet did Maria pay on the loan

Answers

The total amount Maria ended up paying for the equipment will be $14,861.76. And The interest of Maria on the loan will be 8.48%.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

To purchase 13700 worth of restaurant equipment for her business.

Maria made a down payment of 1500 and took out a business loan for the rest, after 3 years of paying monthly payments of 371.16 she finally paid off the loan.

The total amount Maria ended up paying for the equipment will be

Total amount = 371.16 × 3 × 12 + 1500

Total amount = $14,861.76

The interest of Maria on the loan will be

Interset = [(14861.76 – 13700) / 13700] x 100

Interset = 8.48%

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Lief starts saving for his future and deposits $425 each month at 5.7% annual interest, compounded monthly, for 25 years. At the end of 25 years, he has an account balance of $281,292.21. How much of this did Lief contribute and how much of this is interest?

Answers

Using proportions, it is found that the amounts are given as follows:

Amount deposited: $127,500.Amount of interest: $153,792.21.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The amount deposited is of $425 each month for 25 years, that is, $425 in 25 x 12 times, that is:

D = 425 x 25 x 12 = $127,500.

The amount of interest is the total amount subtracted by the amount deposited, hence:

I = 281,292.21 - 127,500 = $153,792.21.

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If you bought a stock last year for a price of $103, and it has risen 13.5% since then, how much is the stock worth now, to the nearest cent?

Answers

The stock worth now, to the nearest cent is  $90.75.

How to find the current worth of stock?

The current worth of stock = initial price of stock+increase in the price of stocks

If you bought stock last year for a price of $103, and it has risen 13.5% since then,

Let X be the worth of stock;

103 ×  100 = (13.5% + 100%) × X

10300 = 113.5X

X = 10300/113.5

X = 90.74889868

X = $90.75

Hence, The stock worth now, to the nearest cent is  $90.75.

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Which interval describes where the graph of the function is positive?

Answers

Answer:

D is the correct answer.

Step-by-step explanation:

Find the portion of the graph that is above the x-axis.

Answer:

D

Step-by-step explanation:

Coming in from - inf the graph is positive and remains so until yo get to x = -1  <==== then it is zero    and continues to negative values

Write the integral and solve for the area under the curve:

Answers

Answer:

Integral: [tex]\int\limits^\pi _0 {3sinx} \, dx[/tex]

Area: 6

Step-by-step explanation:

[tex]\int\limits^\pi _0 {3sinx} \, dx = -3[cosx]_{0} ^{\pi} = 6[/tex]

Mr. Harry had 4 daughters, each daughter had a brother. How many Children does Mr. Harry have? ​

Answers

Answer:

Mr. Harry has 5 children.... I know what you were going for...

Write a rule to describe each translation

Answers

Answer:

slide - translate

Step-by-step explanation:

you slided them both as neither of the figures changed

Question 10: Each tablet in a bottle of 30 costs the pharmacy $4.60. The pharmacy has additional costs including supplies and shipping of $1.40 per pill. If a 12% profit is desired, how much would the pharmacy charge for entire bottle?

Answers

The pharmacy must charge for $201.6 for the entire bottle.

Profit is the financial gain to the seller after selling some commodity

Revenue is the total sale of the seller after selling some commodity

Expenses is the expenditure to the seller before selling the commodity

Profit = Revenue - Expenses

Cost of the tablet = $4.60

Total cost of the bottle=$4.60x30

                                       =$138

Additional cost=$1.40 x 30

                          = $42

Total expenses=$180

Profit %=125

Revenue= $180 x (1+12/100)

              =$180 x (112/100)

               =$201.6

Therefore, The pharmacy must charge for $201.6 for the entire bottle for a profit of 12%

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Please help !!! I will give 20 points to the correct answer!!

Answers

-2x + 11 =31
-2x =31 - 11
-2x = 20
X = 20/2
X = 10

helppp im stuck :(
Hope you guys help me

Answers

Answer:

[tex]y=-\dfrac{1}{2}x+2[/tex]

Step-by-step explanation:

Define two points on the line:

  [tex]\textsf{let}\:(x_1,y_1)=(0,2)[/tex]

  [tex]\textsf{let}\:(x_2,y_2)=(4,0)[/tex]

Use the slope formula and the defined points to find the slope:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-2}{4-0}=-\dfrac{1}{2}[/tex]

Substitute the found slope and one of the points into the point-slope form of a linear equation:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-2=-\dfrac{1}{2}(x-0)[/tex]

Simplify:

[tex]\implies y-2=-\dfrac{1}{2}x[/tex]

[tex]\implies y=-\dfrac{1}{2}x+2[/tex]

Find m angle angle KML

Answers

Answer:

52

Step-by-step explanation:

this is a triangle whose 2 sides are equalfirst take 180 which is the sum of interior angle minus 76 which is the angle givenyou will get 104 which is the other 2 anglesdivide by 2 since they are equal to get 52

Which expression is equivalent to (1−sinβ)(1+sinβ)/cos2β for all values of β for which (1−sinβ)(1+sinβ)/cos2β is defined?
Select the correct answer below:

tan2β
tanβ+secβ
tanβ
sec2β
1

Answers

Answer: Choice E)  1

Work Shown:

[tex]\frac{(1-\sin(\beta))(1+\sin(\beta))}{\cos^2(\beta)}\\\\\frac{1-\sin^2(\beta)}{\cos^2(\beta)}\\\\\frac{\cos^2(\beta)}{\cos^2(\beta)}\\\\1\\\\[/tex]

Therefore, [tex]\frac{(1-\sin(\beta))(1+\sin(\beta))}{\cos^2(\beta)}=1\\\\[/tex] is an identity for all values of β for which the original expression is defined. I used the difference of squares rule for the 2nd step. Then I applied the pythagorean trig identity for the 3rd step.

Which of the following polynomials is in standard form?
A. F(x)=-3x+6x²-1+7x
B. F(x)=7x+6x² -1-3x4
C. F(x)=-3x4 -1+6x² +7x
D. F(x)=-3x +6x² +7x-1

Answers

Answer:

d

Step-by-step explanation:

5x -9=2y por suma y resta ecuacion

Answers

Multiplica los números: 5x-9=2y
-45=2y
2y=-45
Y=-45/2
Ecuación:
5x-9=2y
-45=2y
2y=-45

Use the five numbers 12, 11, 19, 16, and 12 to complete parts a) through e) below.
a) Compute the mean and standard deviation of the given set of data.
The mean is x = and the standard deviation is s =
(Round to two decimal places as needed.)

Answers

Answer:

mean = 14 and standard deviation = 3.03

Step-by-step explanation:

mean = sum of all numbers ÷ by the numbers available

= (11 + 12 + 12 + 16 + 19) ÷ 5

= 70 ÷ 5

= 14

FOR STANDARD DEVIATION * USE A SCIENTIFIC CALCULATOR THEY WON'T PENALIZE YOU*

follow these steps:

1. press mode then STAT

2. then press 1-VAR

3. put all the numbers on the table in ascending order

4 after press AC

5. press shift then 1

6. you will see many things but we are only interested in standard deviation, press *Var*

7. then select the standard deviation sign and press the equal sign

What is the solution to the equation below? Round your answer to two decimal places. 3e2x + 12 = 42

Answers

Answer:

X= 5.52

Step-by-step explanation:

1. Solve the equation:

e×2x + 12= 42

x=15/e

2. Round x=15/e to the required place

x=5.52

Answer:

X=1.15

Step-by-step explanation:


(6.03)
What is the constant term in the expression 6x³y + 8x² + 5x + 7? (Input a numeric value only.)
Numerical Answers Expected!
Answer for Blank 1:

Answers

It is 7 because it has no variable that is being multiplied

Find the indicated side of the right triangle 60° 30° 3 x

Answers

Answer: [tex]3\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\tan 60^{\circ}=\frac{x}{3}\\\\\sqrt{3}=\frac{x}{3}\\\\x=\boxed{3\sqrt{3}}[/tex]


1.9^4 × 10 × 2.9 x 10^1

Answers

3779.309 is the answer....

Are you sure the question isn’t 1.9 x 10^4 x 2.9 x 10^1 = (1.9 x 2.9) x (10^4 x 10^1) = 5.51 x 10^5

Indicate the equation of the given line in standard form. Show all of your work for full credit.

The line containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1, 1), Q(3, 5), and R(5, -5).

Answers

Answer:  24 sq units is the area of triangle.

Step-by-step explanation:

Given , (x1 , y1) = (-1, 1),  (x2 , y2) = (3, 5) ,  (x3, y3) = (5, -5)

Using the Formula :

Area of triangle =  [tex]\[\frac{1}{2}(x1(y2-y3) + x2(y3-y1) + x3(y1 -y2))\][/tex]

    [tex]\[=\frac{1}{2}(-1(5-(-5)) + 3(-5-1) + 5(1-5)) \\=\frac{1}{2}(-10 -1 8 -20) \\=\frac{1}{2}(-48) = -24\][/tex]

Area cannot be negative. We only consider the numerical value of answer. Therefore, area of triangle = 24 sq units.

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Turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack stand. Ben has sold no more than $30 worth of turkey sandwiches and veggie wraps in the first hour of business. Let x represent the number of turkey sandwiches and y represent the number of veggie wraps. The inequality 2.50x+3.50y30 represents the food sales in the first hour.

If Ben has sold 4 veggie wraps, what is the maximum number of turkey sandwiches Ben could have sold?

Answers

The maximum number of turkey sandwiches Ben sold is 6.

What is the maximum number of turkey sandwiches Ben sold?

Given this equation : 2.50x + 3.50y ≤ $30

If y is 4, take the following steps in order to determine the value of x:

Substitute for y in the above equation:

2.50x + (3.50 x 4) ≤ $30

2.50x + 14 ≤ $30

2.50x ≤ $30 - 14

2.50x ≤ $16

x ≤ 6.4

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Answer:

6

Step-by-step explanation:

What is the volume of a regular pyramid having a base area of 24 inches and height of 6 inches

Answers

Answer:

V= 48 in^2

Step-by-step explanation:

Formula

Since the base has a known area, we do not need the full volume formula. This formula is

V = B * h / 3

B is the area of the base and h is the height measured from the top of the pyramid to the base meeting the base at right angles.

Givens

B = 24 in^2

h = 6 in

Solution

V = B * h / 3

V = 24 * 6/3

V= 48 in^2

write the quadratic equation whose roots are -3 and 3, and whose leading coefficient is 5

Answers

Answer:

5x²- 1.8

Step-by-step explanation:

roots are -3 and 3, put them in brackets

(x - 3)(x + 3)

x² + 3x - 3x - 9

x² - 9

5x = -9

x = -1.8

5x² - 1.8

just to check:

5x² - 1.8

x² - 9

(x - 3)(x - 3)

x = -3 and 3.

The length of a golden rectangle is 35 cm. Find the width to the nearest centimeter.
17cm
25cm
22cm
29cm
16cm

Answers

Answer:

22 cm

Step-by-step explanation:

First we need to know that The golden number

= (1+√(5))÷2

= 1.61803398875 (in decimal)

………………………………………………

We get the length of a golden rectangle

by multiplying its width by the golden number itself.

Then

The width = 35÷ 1.61803398875

                 =21.631189606245

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