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s344n2d4d5 [400]
3 years ago
10

Solve the system of equations by substitution

Mathematics
1 answer:
fenix001 [56]3 years ago
4 0

I hope you can read my writing and hope this helps

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A bike shop rents bikes for $4.50 per hour, plus a $7.50 insurance charge. For how many hours can Peter rent a bike if he has $3
Mandarinka [93]

Answer:

With $30, Peter can afford 5 hours

Step-by-step explanation:

Given

Insurance Charge = $7.5

Charges = $4.5 per hour

Required

Determine the number of hours $30 can afford

First, we need to determine the equation.

<em>Total Charges = Charges per hour + Insurance Charge</em>

Substitute values for Charges per hour and Insurance Charge

Total Charges = 4.5 per hour + 7.5

Let the number of hours be n;

So,

Total Charges = 4.5n + 7.5

To calculate Peter's; substitute 30 for total charges

30 = 4.5n + 7.5

Subtract 7.5 from both sides

4.5n = 30 - 7.5

4.5n = 22.5

Divide both sides by 4.5

n = \frac{22.5}{4.5}

n = 5

Hence;

<em>With $30, Peter can afford 5 hours</em>

3 0
3 years ago
What is the GCF of h4 and h8​
Naily [24]
The greatest common factor is to h4 and h8 is 4
7 0
3 years ago
What is the answer for<br> -4x+4y=12<br> 3x-4y=-18
Liula [17]
Use elimination.

-x = -6
X = 6

-4 (6) + 4y = 12
Y = 9

(X,y)

(6,9) is the solution
6 0
4 years ago
Which of the following will you construct in this lesson?
Vikentia [17]

Answer:

The question is not complete or you forgot to attatch the image. Repost your question

8 0
3 years ago
Find the annual interest rate. Round your answer to the nearest hundredth of a percent. I=$160.67, P=$2000, t=8 months
FinnZ [79.3K]
Let would be the annual interest rate such that,
                              I = P x r^t
For the 1st
                            160.67 = (2000) x r*8/12    ; r = 0.02277
The second case is just  the same. 
3 0
3 years ago
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