Ask question

Ask question

All categories

MariettaO [177]

3 years ago

15

6 points Emily’s family needs to rent a moving truck to move their belongings to a different house. The rental cost for Trucks-A

-Lot is $42 per day plus $0.72 per mile. The rental cost for Move-It-Truckers is $70 per day plus $0.12 per mile. Let m represent Emily’s mileage. Write an equation to represent the cost of renting each truck, and determine what will be the number if miles for which the truck cost the same amount.

1 answer:

Alexxx [7]3 years ago

7 0

Answer/Step-by-step explanation:

Equation to represent the daily rental cost for each type of truck can be written as follows:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Where, m = Emily's mileage

To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.

$42 + 0.72m = 70 + 0.12m$

Collect like terms

$0.72m - 0.12m = 70 - 42$

$0.6m = 28$

Divide both sides by 0.6

$\frac{0.6m}{0.6} = \frac{28}{0.6}$

$m = 46.7$

At approximately 47 miles, both trucks would cost the same amount.

Check:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Plug in the value of x = 47

= 42 + 0.72(47) = $75.84 ≈ $76

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Plug in the value of x = 47

= 70 + 0.12(47) = $75.64 ≈ $76

You might be interested in

How many yards are in 5 miles?

Margaret [11]

1 yard = 1760 yard x 5 = 8,800 which is b

3 0

3 years ago

Hi everyone how are you and what is 4 divieded by 12

rusak2 [61]

ookies. OK

How to calculate 12 divided by 4

Long Division

Here we will show you step-by-step with detailed explanation how to calculate 12 divided by 4 using long division.

Before you continue, note that in the problem 12 divided by 4, the numbers are defined as follows:

12 = dividend

4 = divisor

Step 1:

Start by setting it up with the divisor 4 on the left side and the dividend 12 on the right side like this:

4 ⟌ 1 2

Step 2:

The divisor (4) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

0

4 ⟌ 1 2

Step 3:

Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.

0

4 ⟌ 1 2

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

0

4 ⟌ 1 2

- 0

1

Step 5:

Move down the 2nd digit of the dividend (2) like this:

0

4 ⟌ 1 2

- 0

1 2

Step 6:

The divisor (4) goes into the bottom number (12), 3 time(s). Therefore, put 3 on top:

0 3

4 ⟌ 1 2

- 0

1 2

Step 7:

Multiply the divisor by the result in the previous step (4 x 3 = 12) and write that answer at the bottom:

0 3

4 ⟌ 1 2

- 0

1 2

1 2

Step 8:

Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.

0 3

4 ⟌ 1 2

- 0

1 2

- 1 2

3 0

3 years ago

Which expression shows that the quotient {Read Attachment for full question}

vichka [17]

Answer:

option 2

Step-by-step explanation:

2 / (3x - 1) ÷ 6 / (6x - 1)

= 2 / (3x - 1) * (6x - 1) / 6

= 1 / (3x - 1) * (6x - 1) / 3

= 6x - 1 / 9x - 3

7 0

3 years ago

Read 2 more answers

The following data set shows the times a product failed in a series of tests. What is the range of this data set? {16, 12, 19, 1

Alika [10]

Answer:

9

Step-by-step explanation:

Highest number is 19 lowest is 10. 19-10 is 9.

7 0

3 years ago

Assume that the results of your class' statistics test are normally distributed. You know that you scored 1 standard deviation a

Gnom [1K]

Answer:

84%

Step-by-step explanation:

We have to remember that z-scores are values to find probabilities for any <em>normal distribution</em> using the <em>standard normal distribution</em>, a conversion of the normal distribution to find probabilities related to that distribution. One way to find the above z-scores is:

$\\ z = \frac{x - \mu}{\sigma}$

As a result, we can say that one standard deviation above the mean is equal to a z-score = 1, or that one standard deviation below the mean is equal to a z-score = -1, to take some examples.

The corresponding cumulative probability for a z-score = 1 (<em>one standard deviation above the mean</em>) can be obtained from the <em>cumulative standard normal table</em>, that is, the cumulative probabilities from z= -4 (four standard deviations below the mean) to the value corresponding to this z-score = 1.

Thus, for a z-score = 1, the <em>cumulative standard normal table</em> gives us a value of P(x<z=1) = 0.84134 or 84.134. In other words, below z = 1, there are 84.134% of cases below this value.

Applying this for the case in the question, the percentage of test scores below 69 (one standard deviation above the mean) is, thus, 84.134%, and rounding to the nearest whole number is simply 84%.

6 0

3 years ago