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Grace [21]
3 years ago
9

You are choosing between two health clubs. Club A offers membership for a fee of $ 28$28 plus a monthly fee of $ 20.$20. Club B

offers membership for a fee of $ 19$19 plus a monthly fee of $ 23.$23. After how many months will the total cost of each health club be the​ same? What will be the total cost for each​ club?
Mathematics
1 answer:
eimsori [14]3 years ago
3 0

Answer:

That is to say that at 3 months, the values of the club are equal.

Club A = 268 dollars in total

Club B = 295 dollars in total

Step-by-step explanation:

The first thing is to propose an equation for each club. Let m be the number of months.

Club A = 28 + 20 * m

Club B = 19 + 23 * m

Now, to know when it is the same, we must equal the value of Club A with Club B, it would look like this

28 + 20 * m = 19 + 23 * m

By rearranging the equation we have:

23 * m - 20 * m = 28-19

3 * m = 9

m = 3

That is to say that at 3 months, the values of the club are equal.

Now to know the total value, we will do it with an annual membership, which would be a total of 12 months, therefore it is to replace in the equation of each one:

Club A = 28 + 20 * 12 = 268 dollars in total

Club B = 19 + 23 * 12 = 295 dollars in total

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8 0
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puteri [66]

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5

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3 years ago
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xxTIMURxx [149]

Answer:

The conclusion is "Plane R and Plane S form a line if they intersect."

Step-by-step explanation:

Consider the provided statements.

1) If two planes intersect, their intersection is a line.

2) Plane Rand plane S intersect.

  • If two points lie in a plane, then the line joining them lies in that plane.
  • If two planes intersect, then their intersection is a line.

For better understanding refer the figure:

There are two planes R and S, which intersect at the line l.

Since the given two planes intersect, the using the above fact we can say that their intersection is a line.

Thus, the conclusion is "Plane R and Plane S form a line if they intersect."

3 0
3 years ago
A box in the shape of a rectangular prism has a length of x inches, a width of 0.5x inches and a height of 2x inches. The volume
telo118 [61]

Answer:

The answer should be 44.72 inches.

Step-by-step explanation:

In order to find the height when given the volume, use the formula V=Ah

The area can be found by multiplying the length and the width. (x)(.5x) = .5x^2

Now, 1,000= .5x^2(h).

Take the volume and divide it by .5. This gives you 2,000.

Now the equation is 2,000=x^2 (h)

Take the square root of 2,000 and this gives you the answer of 44.72 inches.

6 0
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malfutka [58]

Answer:

-2.5

Step-by-step explanation:

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