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ludmilkaskok [199]
3 years ago
8

~Uh- ~ Hey ~ can ~ someone ~ help ~ me ~ out ~ once ~ again...?~

Mathematics
2 answers:
BaLLatris [955]3 years ago
6 0
The answer is a) 12 .......
ale4655 [162]3 years ago
5 0

Answer:

The answer is option A

A) Circumference= 12\pi m

Step-by-step explanation:

To find the circumference of a circle the formula you would use is C=2\pir

if the radius is 6 meters, C is

C = 2*6 \pir

C= 12\pi m

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You must drive more than 40 miles to make option A the cheaper plan

<em><u>Solution:</u></em>

Two payment options to rent a car

Let "x" be the number of miles driven in one day

<em><u>You can pay $20 a day plus 25¢ a mile (Option A)</u></em>

25 cents is equal to 0.25 dollars

OPTION A :  20 + 0.25x

<em><u>You pay $10 a day plus 50¢ a mile (Option B)</u></em>

50 cents equal to 0.50 dollars

Option B: 10 + 0.50x

<em><u>For what amount of daily miles will option A be the cheaper plan ?</u></em>

For option A to be cheaper, Option A must be less than option B

Option A < Option B

20 + 0.25x < 10 + 0.50x

Solve the inequality

Add -0.50x on both sides

20 +0.25x -0.50x < 10 + 0.50x - 0.50x\\\\20 - 0.25x < 10

Add - 20 on both sides,

20 - 0.25x - 20 < 10 - 20\\\\-0.25x < -10

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

0.25x > 10

Divide both sides by 0.25

x > 40

Thus you must drive more than 40 miles to make option A the cheaper plan

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