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qaws [65]
3 years ago
9

At a local gym you go to, you either pay $90 fee for a monthly pass, and an additional $4 for each time you decide to go to the

gym, or you can pay $13 each time you go to the gym. Write and solve a system of equations for this situation to determine how many times you have to go to the gym in order for it to cost the same amount
A. 90
В. 130
C. 10
D. 5​
Mathematics
1 answer:
Vikentia [17]3 years ago
5 0

Answer: C. 10.

Step-by-step explanation:

Let x = Number of times you have to go to the gym in order for it to cost the same amount.

Given: Monthly pass fee = $90

Additional charge = $4

Total amount = (Monthly fee)  + (Number of times) (Additional charge)

Total amount = 90+4x                (i)

Payment for each time you go to the gym = $13

Total amount = 13x                    (ii)

From (i) and (ii) , we get

13x=90+4x\\\\\Rightarrow\ 13x-4x=90\\\\\Rightarrow\ 9x=90\\\\\Rightarrow\ x=\dfrac{90}{9}\\\\ \Rightarrow\ x= 10

Hence, the number of times you have to go to the gym in order for it to cost the same amount= 10

Hence, the correct option is C. 10.

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Mashutka [201]

Answer:

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Step-by-step explanation:

To find the value of the angle theta that gives us tan(theta) = 2, we should use the inverse function of the tangent in the calculator, that is, the arc tangent function.

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Denise wants to cover a 21.75 square foot wall with weathered wood. If each box of weathered wood contains 1.5 square feet of wo
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