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const2013 [10]
3 years ago
11

Math question:

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
4 0

Answer: 102

Step-by-step explanation:

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Two payment options to rent a car: You can pay $20 a day plus 25¢ a mile (Option A) or pay $10 a day plus 50¢ a mile (Option B).
BaLLatris [955]

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

7 0
3 years ago
PLEASE HELP ASAP!
fomenos

Answer:

The answer could be A

Step-by-step explanation:

Got this from another Brainly user

3 0
3 years ago
How to solve 24.31÷2.6
Maru [420]

Answer:

9.35

Step-by-step explanation:

24.31 divided by 2.6 = 9.35

6 0
3 years ago
Read 2 more answers
1 1.2.4 Quiz: Paying Taxes Question 7 of 10 Income tax is calculated based on: A. gross income minus deductions, B. net income m
Stels [109]

Step-by-step explanation:

Here is your answer

http://www.lasesp.com/article/16336607434947849/Surprise_Gift

7 0
3 years ago
Choose the graph below that has an undefined slope.
Ronch [10]

Answer:

The correct option is A.

Step-by-step explanation:

The first line passing through the points (-6,2) and (-6,0).

The slope of a line is

m=\frac{y_2-y_1}{x_2-x_1}

The slope of first line is

m_1=\frac{0-2}{-6-(-6)}=\infty

The second line passing through the points (0,-4) and (-1,1). The slope of second line is

m_2=\frac{1-(-4)}{-1-0}=-5

The third line passing through the points (0,-6) and (2,-6). The slope of third line is

m_3=\frac{-6-(-6)}{2-0}=0

The fourth line passing through the points (0,6) and (-3,-7). The slope of fourth line is


m_4=\frac{-7-6}{-3-0}=\frac{13}{3}

Since the slope of a vertical line is infinity, Therefore option A is correct.

8 0
3 years ago
Read 2 more answers
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