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Molodets [167]
3 years ago
10

Amelia can spend no more than $90 per day to rent a car. A car rents for $35 per day plus $0.22 per mile. How many miles can Ame

lia drive without going over her budget?
Which of the following inequalities best represents the given scenario?

A. 35+0.22m≤90



B
35m+0.22≤90



C
35+0.22m≥90



D
35m+0.22≥9
Mathematics
1 answer:
ddd [48]3 years ago
8 0

Answer:

c

Step-by-step explanation:

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Rent-Me Rent-A-Car charges $25.00 per day plus $0.14 per mile to rent an economy car. Better Deal Rental Car charges $23.00 per
zalisa [80]

Answer:

The number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.

Step-by-step explanation:

Let x represents the number of miles at which a car rented from either company cost the same amount. Therefore, we can have the following equation:

RC = 25 + 0.14x ....................... (1)

BC = 23 + 0.18x ...................... (2)

Where;

RC = Total cost of Rent-Me Rent-A-Car

BC = Total cost of Better Deal Rental Car

The the cost of the two companies equal where RC = BC. Therefore, we equate equations (1) and (2) and solve for x as follows:

25 + 0.14x = 23 + 0.18x

25 - 23 = 0.18x - 0.14x

2 = 0.04x

x = 2 / 0.04

x = 50

Therefore, the number of miles at which a car rented from either company cost the same amount is <u>50 miles</u>.

<u>Note:</u>

This can be confirmed for equations (1) and (2) individually by substituting for x = 50 as follows:

For equation (1):

RC = 25 + 0.14(50)

RC = 25 + 7

RC = 32

For equation (2):

BC = 23 + 0.18(50)

BC = 23 + 9

BC = 32

Therefore, RC = BC = 32 confirms the answer.

3 0
3 years ago
Can I get some help please?
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Answer:

1)   68

    / \

 4     17

  /\

2  2

68=2*2*17

2)  104

   /      \

 4      26

  /\       /\

2  2   2   13

104=2*2*2*13

3) 78

    /\

 2    39

        /\

      3   13

78=2*3*13

4) 225

    /\

  9   25

  /\    /\

 3 3  5 5

225=3*3*5*5

Second Part:

1)  45

    /\

  3  15

       /\

      3 5

45=3*3*5

2)  70

     /\

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          /\

        5  7

70=2*5*7

3)  54

     /\

   9   6

   /\    /\

  3 3  2 3

54=3*3*2*3

4)  126

      /\

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Step-by-step explanation:

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