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spayn [35]
3 years ago
6

At Silver Gym, membership is $25 per month, and personal training sessions are $40 each. At Fit Factor, membership is $75 per mo

nth, and personal training sessions are $30 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?​
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
4 0

Answer:

5

Step-by-step explanation:

You start with each membership for each gym as your starting point, then you add the personal sessions to that number.

Silver Gym: 25 65 105

Fit Factor: 75 105

As you can see, it will take Sarah 5 sessions to have both costs equal

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The answer is: 36

Because, bisecting the base of the triangle gives of two segments of five. This forms two triangles with base of 5 and altitude (in this case height) of 12. There exists a special pythagorean triplet triangled named 5-12-13 meaning if you have a right triangle with two of these sides then the unknown side is the number left out. In this case, the altitude forms a right angle on the base which allows the sides of the big isocs. triangle to be 13 giving us 13 + 13 + 10 to be the perimeter = 36.

6 0
3 years ago
What is the y-value in the solution to this system of linear equations?
Karolina [17]

Answer:

y = -4

Step-by-step explanation:

Solve the following system:

{4 x + 5 y = -12 | (equation 1)

3 y - 2 x = -16 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{4 x + 5 y = -12 | (equation 1)

0 x+(11 y)/2 = -22 | (equation 2)

Multiply equation 2 by 2/11:

{4 x + 5 y = -12 | (equation 1)

0 x+y = -4 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{4 x+0 y = 8 | (equation 1)

0 x+y = -4 | (equation 2)

Divide equation 1 by 4:

{x+0 y = 2 | (equation 1)

0 x+y = -4 | (equation 2)

Collect results:

Answer:  {x = 2 , y = -4

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4 years ago
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(2x)^4 = 16x^4 is the continued product

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The 2-point form of the equation of a line can be written as ...

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It can also be written as

... y -5 = (4/3)(x -6)

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4 years ago
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