Sam will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of 57 and costs an additional 0.13 per mile driven. The second plan has an initial fee of 46 and costs an additional 0.15 per mile driven.For what amount of driving do the two plans cost the same?

What is the cost when the two plans cost the same?

Answers

Answer 1
Answer:

Answer:

550 miles and 128.50

Step-by-step explanation:

57 + 0.13 x = 46 + 0.15 x

57 - 46 = 0.15 x - 0.13 x

11 = 0.02 x

x = 11 / 0.02 = 1100 / 2 = 550 miles

cost = 57 + 0.13 . 550 = 128.50


Related Questions

Write the equation in standard form. 0.5x = y - 4
A dilation is a reduction if the scale factor is _____
Use the fundamental identities to simplify the expression. There is more than one correct form of the answer.7 sec^2 x(1 − sin^2 x)
Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a horizontal line crossing the y axis at three that ends at the open point 2, 3, a closed point at 2, 1, and another horizontal line starting at the open point 2, -2. Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x..
When are triangles considered similar?

The sum of the age of two sisters is 20 years. If the one of them is 4 years younger than other , find their age.​

Answers

Hello!

Answer:

\Large \boxed{\sf 12yo~ and ~8yo}

Step-by-step explanation:

→ We want to find the age of each sister.

→ Let the age of the elder sister be x years.

→ So we know that:

  • The age of the elder sister = x
  • The age of the the youngest sister = x - 4
  • The sum of the age of two sisters = 20

→ So we have this equation:

\sf x + x-4=20

→ Let's solve the equation to find the age of the sisters:

Simplify the left side:

\sf 2x-4=20

Add 4 to both sides:

\sf 2x-4+4=20+4

Simplify both sides:

\sf 2x=24

Divide both sides by 2:

\sf (2x)/(2) =(24)/(2)

Simplify both sides:

\boxed{\sf x = 12 }

→ So now, we know that:

  • The age of the elder sister = 12
  • The age of the the youngest sister = 12 - 4 = 8

Check:

"The sum of the age of two sisters is 20":

\sf 12 + 8 = 20

✔ So the check is good.

Conclusion:

The elder sister has 12 years old and the youngest sister has 8 years old.

Answer:
Older sister:12 years old

Youger sister:8 years old


Step-by-step explanation:

I will be using the model method (boxes)as it will show a clearer view of the question.



How can graphing be applied to solving systems of nonlinear equations?

Answers

you can see where the curve crosses the axis

If a car travels 400m in 20 seconds how fast is it going

Answers

Answer:

20 m/s

Step-by-step explanation:

Distance = rate * time

400 m = rate * 20 seconds

Divide each side by 20 seconds

400m/ 20 seconds = rate

20 m/second = rate

Copyright o The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom5. POPULATION In a small town, of the
population is older than 55. In a larger
town, of the population is older than
55. Which town has the greater
fraction of its population over 55, the
smaller or the larger town?

Answers

Answer:

larger

Step-by-step explanation:

becuase it increases

What is the slope of the line? -3x+5y=2x+3y

Answers

Answer: 5/2

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

for khan

6x - 2y= 18
Find the x-intercept and the y-interc
Then use them to graph the line.

Answers

x-intercept(s): (3,0)

y-intercept(s): (0,−9)

Answer:

The x is -3 and the y is -9 so the answer is (-3,-9)

Step-by-step explanation:

6x-2y=18

-6x       -6x

-2y=-6x+18

-2y/-2=-6x/-2+18/-2

y= -3x -9

To graph you just mark it at -9 and go down 3 up 1; or you could go up 3 down 1

Hope this helps :) Have a wonderful day and  wish you luck on your test :)