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pentagon [3]
3 years ago
6

David wants to rent a car for one day. She contacted two rental car companies. The first company charges $100 a day plus $1 a mi

le. The second company charges $75 a day plus $2 a mile. At many miles will the total cost for both companies be the same?
Mathematics
1 answer:
Shkiper50 [21]3 years ago
7 0

Answer:

25 miles.

Step-by-step explanation:

First, it would help to write out the problem as equations.

The first company:   1x+100

The second company: 2x+75

Where 'x' is the number of miles.

Then, just solve for the two equations when they equal each other.

1x+100=2x+75    Equation

100=x+75            Subtract 1x from both sides.

25=x                    Subtract 75 from both sides.

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yanalaym [24]

Answer:

Area of Circle A = 1133.54

Circumference of Circle A= 119.32

Step-by-step explanation:

Given: Sum of both circle diameters= 49 feet.

           Circle A radius= Three feet less than twice the diameter of circle B.

Lets assume diameter of Circle B is "x"

∴ Circle A radius (r)= (2x-3)

We know, the diameter of circle is 2r

Diameter of Circle A is 2\times (2x-3)

Next as given sum of both circle diameter is 49 feet.

∴ 2(2x-3)+x= 49\ feet

distributing 2 with 2x and -3

⇒ 4x-6+x= 49

⇒5x-6= 49

Adding both side by 6

⇒5x=55

Cross multiplying both side.

⇒x=\frac{55}{5} = 11

∴ Diameter of circle B is 11 feet.

Next, subtituting the value of x to get the value of radius for Circle A.

Radius of circle A= (2x-3)

⇒ Radius of circle A= (2\times 11-3)= 22-3

∴ Radius of circle A= 19 feet.

Area of circle= \pi r^{2}

Taking π= 3.14

Area of circle A= 3.14\times 19^{2} = 3.14\times 361

∴ Area of circle A= 1133.54

Circumference of circle= 2πr

Circumference of Circle A= 2\times 3.14\times 19= 119.32

∴ Circumference of Circle A= 119.32

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Step-by-step explanation:

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