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shtirl [24]
3 years ago
7

At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. At another gym, each month at the g

ym costs $22. After how many months will the cost of both gyms be the same? =
Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0

Answer: it will take 6 months for both gyms to cost the same.

Step-by-step explanation:

Let m represent the number of months that it will take for the cost of both gyms be the same.

At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. This means that the total cost for m months is

12 + 20m

At another gym, each month at the gym costs $22. This means that the total cost for m months is 22m

For both costs to be the same, the number of months would be

12 + 20m = 22m

22m - 20m = 12

2m = 12

m = 12/2 = 6

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Write the equation of the line that passes through the points (3, 4) and (5, 8)
shusha [124]

Answer:

y=2x-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-4)/(5-3)

m=4/2

m=2

y-y1=m(x-x1)

y-4=2(x-3)

y=2x-6+4

y=2x-2

7 0
2 years ago
At the city museum, child admission is $6.10 and adult admission is $9.90. On Friday, 142 tickets were sold for a total sales of
antoniya [11.8K]

Answer:

no of child tickets sold were 58

Step-by-step explanation:

Let the number of child ticket sold be x

cost of 1 child ticket = $6.10

Total cost of x child ticket = x*cost of 1 child ticket = = $6.10x

Let the number of adult ticket sold be y

cost of 1 adult ticket = $9.90

Total cost of y adult ticket = y*cost of 1 adult ticket = = $9.90y

Given total ticket sold = 142

Thus,

number of child ticket sold +  number of adult ticket sold = 142

x + y = 142   - equation 1

x = 142 -y  

Total sales of ticket = $1185.40

total sales of ticket  = Total cost of x child ticket + Total cost of x a dult ticket

6.10x + 9.90y = 1185.40

in this equation substituting x = 142 - y from equation 1

6.10(142 - y )  + 9.90y = 1185.40

=>866.2 - 6.10y + 9.90y = 1185.40

=> 3.80y = 1185.40 - 866.2

=> 3.80y = 319.2

=> y = 319.2/3.80 = 84

Thus, y = 84

x = 142 - y  = 142 - 84 = 58

Thus, no of child tickets sold were 58

6 0
3 years ago
Need help failing math
faust18 [17]

Answer:

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Step by step explaination

<em><u>First</u></em><em><u> </u></em><em><u>yo</u></em><em><u>u</u></em><em><u> </u></em><em><u>have</u></em><em><u> </u></em><em><u>got</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>number</u></em><em><u> </u></em><em><u>(</u></em><em><u>4</u></em><em><u>-</u></em><em><u>7</u></em><em><u>)</u></em>

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8 0
2 years ago
Read 2 more answers
Which shows a rational number plotted correctly on a number line?
irinina [24]

Answer:

Top option

Step-by-step explanation:

-19\frac{1}{2} = -\frac{39}{2}

According to this, this is definitely in the right place.

I am joyous to assist you anytime.

7 0
2 years ago
Read 2 more answers
Which value is a solution to the open sentence? 4x-5=31
g100num [7]
4x-5=31

Add 5 to both sides
4x=36

Divide both sides by 4
x=9

Final answer: 9
3 0
3 years ago
Read 2 more answers
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