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Elis [28]
2 years ago
9

At Silver Gym, membership is $30 per month, and personal training sessions are $45 each. At Fit Factor, membership is $90 per mo

nth, and personal training sessions are $35 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:
pshichka [43]2 years ago
4 0
S(x)=30x+45
F(x)=90x+35
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The length of a rectangle is 4ft less than its width.The area of the rectangle is 6oft<img src="https://tex.z-dn.net/?f=%5E%7B2%
Alexeev081 [22]

Answer:

Width is 10ft and length is 6ft.

Step-by-step explanation:

The area of a shape is the amount inside a shape. It is found using multiplication or A = l*w. Since the width is w and the length is 4ft less than its width or w - 4, use these expressions in the area formula to find their amount.

A = l*w\\60 = w(w -4)\\60 = w^2-4w

Subtract 60 from both sides and factor the quadratic to solve for w.

w^2 -4w - 60 = 0\\(w-10)(w+6) = 0

Set each factor equal to 0 and solve.

w - 10 = 0 so w = 10

w + 6 = 0 so w = -6.

Since w represents a length or distance it cannot be negative, this means the width is 10. The length which is w - 4ft is 10 -4 = 6. The length is 6 ft.

5 0
3 years ago
Triangle RST is rotated 180° about the origin, and then translated up 3 units. Which congruency statement describes the figures?
Mazyrski [523]

Answer: ΔRST ≅ ΔBAC


Step-by-step explanation:

We know that  To rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y).

Thus, The coordinates of Δ RST becomes

R (1,1) → R'(-1,-1)

S (3,4) → S'(-3,-4)

T(-5,0) → T'(5,0)

Also ΔRST after rotation is translated up 3 units. , so we apply the rule (x,y)→(x,y+3)

R'(-1,-1)→R"(-1,-1+3)=R"(-1,2)→ B

S'(-3,-4) → S"(-3,-4+3) = R"(-3,-1) → A

C'(-5,0) → C"(-5,0+3) → C"(-5,3) → C

As rotation and translation both are rigid transformation that maps only congruent figures.

Therefore, ΔRST ≅ Δ BAC


7 0
3 years ago
Read 2 more answers
5.607 is what percent of 89 step by step
MrMuchimi

Answer:

6.3%

Step-by-step explanation:

so 5.607 = x% * 89

to find the percent u need to divide : 5.607/89 which is : 0.063

to convert 0.063 to a percent multiply 0.063 by 100 = 6.3%

check :

6.3% *89 = 5.607

4 0
2 years ago
How do you find the common ratio of <br>-3, -18, -108, -648 ​
Olegator [25]
The common ratio is 8

example:

-3 x 8 = -18
-18 x 8= -108
so on so on
6 0
3 years ago
Here is a pattern made from sticks:
oee [108]

Answer:

maybe like 12

Step-by-step explanation:

I would think 12 because because it is 2 of the square so I think 6 + 6 correct me of I'm wrong.

5 0
3 years ago
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