At a local fitness center, members pay an $8 membership fee and $4 for each aerobic class. Nonmembers pay $6 for each aerobic class. For what number of aerobics classes will the cost for members and nonmember be the same?

Answers

Answer 1

Answer:

In the aerobics classes of 4 will the cost for members and nonmember be the same.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

At a local fitness center, members pay an $8 membership fee and $4 for each aerobic class.

And, Nonmembers pay $6 for each aerobic class.

Now,

We can formulate;

For members, the cost = $8 + 4x

Where, x is the aerobic class.

For nonmembers;

The cost = 6x

We can equate both the equation, we get;

6x = 8 + 4x

Solve for x as;

6x - 4x = 8

2x = 8

x = 4

Thus, In the aerobics classes of 4 will the cost for members and nonmember be the same.

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Answer 2

Answer: An aerobic lesson will be defined as 'a'
For every member lesson, they pay $4, so they will be represented as 4a
For every non member lesson, they pay $6, so they are 6a
Don't forget members have to pay $8 at the start, so they have to be 4a + 8
So
4a + 8 = 6a is our final equation
Move the 'a's to one side, by subtracting 4a from each side, giving you
8 = 2a
Divide by 2 to isolate a
4 = a
After 4 aerobics classes, the cost will be the same

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The center of a circle is at (7, –3) and it has a radius of 9. What is the equation of the circle?(x – 7)2 + (y + 3)2 = 3

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Answers

Given:
center (7,-3)
radius = 9

Equation of the circle:
(x-h)² + (y-k)² = r²
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The sum of three consecutive even numbers is one hundred sixty - two.What is the smallest of the three numbers ?

Answers

Answer:

Step-by-step explanation:

Let x represent the smallest of the three numbers. Then the other two are (x+2) and (x+4). Their sum is ...

x + (x+2) +(x+4) = 162

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x = 156/3 = 52

The smallest of the three numbers is 52.

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I like to work problems like this by considering the average number. Here, the average of the three numbers is 162/3 = 54, the middle number of the three. Then the smallest of the three consecutive even numbers is 2 less, or 52.

Refrer to the attached picture on which question is written. This question will be done according to Pathagoras theorem. This question answer is √a2-25 . I want step to step explanation.