An SUV costs $27,070 and costs an average of $0.18 per mile to maintain. A hybrid model of the SUV costs $32,880 and costs an average of $0.13 per mile to maintain. After how many miles will the cost of the gas-only SUV exceed the cost of hybrid?

Answers

Answer 1

Answer:

116,200 km

Step-by-step explanation:

Here we have 2 cars, each one with it's corresponding costs. Let's write each cost as functions. The SUV costs $27,070 plus $0.018 per mile. Let x be the miles and SUV (x) the SUV's cost:

SUV(x)=27070+0.18x

We can do the same for the hybrid with a cost function H(x):

H(x)=32880+0.13x

We now need the cost of the SUV to be greater than the hybrid. This is SUV (x)> H(x):

27070+0.18x > 32880+0.13x

Let's subtract 27070 in each side:

0.18 x > 32880 - 27070 + 0.13x

Now let's subtract 0.13x in both sides:

0.05x > 5810

Divide both by 0.05:

x > 5810/0.05

x > 116,200

So, after 116,200km the SUV will turn to be more expensive.

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A student skipped a step when she tried to convert 18 hours into seconds, and she got the following incorrect result:18 hours (60 seconds/ 1 minute) = 1080 seconds

What conversion ratio did she skip in this multiple-step conversion?

A. 60 seconds/ 1 minute

B. 1 minute/ 60 seconds

C. 1 hour/ 60 minutes

D. 60 minutes/ 1 hour

Answers

Answer:

The conversion ratio that student skipped was:

D. (60 minutes/1 hour)

Step-by-step explanation:

We have to convert 18 hours into seconds

We know that there are 60 seconds in a minute and 60 minutes in an hour.

So, 1 hour= 60×60 seconds

18 hour= 18×60×60 seconds

In the question student converted 1 minute into 60 seconds but forgot to convert 1 hour into 60 minutes

Hence, the conversion ratio that student skipped was:

D. (60 minutes/1 hour)

Answer: 60 minutes/1 hour

Step-by-step explanation: took the quiz

Stephanie is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is odd} and let B = {the sum of the number cubes is divisible by 3}. List the outcomes in A ∩ B.{1,3,5,7,9,11}
{1,3,9}
{3,9}
{3,9,12}

Answers

The outcomes of rolling two cubes are shown in the table below (the outcomes is added up). The members of A are circled while the members of B are boxed. The members of A that also members of B is both circled and boxed.

P(A) = {3, 5, 7, 9, 11}
P(B) = {3, 6, 9, 12}
P(A∩B) = {3,9}

The intersection between the sets are the values that are common to both sets that is {3, 9}

What are sets?

Sets are arrangement of values of elements in a specified way.

Given the following sets

A = {1, 3,5, 7, 9, 11}

B = {3, 6, 9,12}

The intersection between the sets are the values that are common to both sets, hence;

A ∩ B = {3, 9}

Learn more on set here: brainly.com/question/5660357

#SPJ5

Proper inverse operation 14 + 17 = 31

Answers

subtraction is the correct inverse operation because you want one number on one side and the others on the other side and since both 14 and 17 are positive you need to subtract to get them to the right side

Answer:

No inverse operation needed. There are no varables to solve for.

Step-by-step explanation:

How is the graph of y=4(2)^x+3 translated from the graph of y=4(2)^x?A. 3 units right
B. 3 units left
C. 3 units down
D. 3 units up

Answers

C. 3 units down. Your Welcome

Answer:

C. 3 units down

Step-by-step explanation: hope this helps

Five more than seven times a number is ninety-six. What is the number?Type an equation and solve

Answers

Answer: the answer to this problem is 13!

Step-by-step explanation: To solve this problem, we must work backward. So the last step we did in this problem was adding five to the number, so to work backward we must subtract 5 from 96 to get 91. Now then the last step was to multiply by seven and since we are working backward, we must divide by seven to get our original number 13.

This is the equation: (13*7)+5

Hope this helped :)

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