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Anarel [89]
2 years ago
10

Andrew pays a monthly membership fee of $10 at his gym. Each time he uses the gym, he pays $5. Last month, Andrew spent a total

of $65 for membership and gym use. If the equation 10 + 5 x = 65 models the situation, how many times did he use the gym last month?
11
12
13
15
Mathematics
1 answer:
umka2103 [35]2 years ago
8 0

Answer:

First step to solving the equation is to subtract 10 on both sides:

10 - 10 + 5x =65 -10

5x = 55

Then, we divide by 5 on both sides!

5x ÷ 5 = 55 ÷ 5

x = 11

Our result is 11, so the answer to the problem is 11

I hope I was helpful!

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Evan is going to invest in an account paying an interest rate of 5.4% compounded continuously. How much would Evan need to inves
Zigmanuir [339]

answer: 711

711.403641819=P

6 0
2 years ago
Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers
Alenkinab [10]

Given:

\sigma_A=3

n_A=6

\sigma_B=5

n_B=4

\overline{x}_A=\overline{x}_B

To find:

The variance. of combined set.

Solution:

Formula for variance is

\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}      ...(i)

Using (i), we get

\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}

(3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}

9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}

54=\sum (x_i-\overline{x}_A)^2

Similarly,

\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}

(5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}

25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}

100=\sum (x_i-\overline{x}_B)^2

Now, after combining both sets, we get

\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}

\sigma^2=\dfrac{54+100}{6+4}

\sigma^2=\dfrac{154}{10}

\sigma^2=15.4

Therefore, the variance of combined set is 15.4.

7 0
2 years ago
Please answer 46 points. Do not comment if u don’t know
Alex787 [66]

Answer: 1ST ONE CUZ THE LINE IS AT A CERTAIN ANGLE AT A POINT TO MATCH THE FIRST ANSWER

Step-by-step explanation:

7 0
2 years ago
Pls help ASAP math plsssss
mars1129 [50]

Answer:

ASAP meaning as soon as possible

8 0
3 years ago
Read 2 more answers
A certain television is advertised as a 55-inch TV (the diagonal length). If the width of the TV is 42 inches, how many inches t
Mumz [18]

Answer:

69.20in

Step-by-step explanation:

Given data

diagonal of the TV d= 55in

Widht of the TV w=  42 in

Hight h= ???

Applying the Pythagoras theorem

d^2= w^2+ h^2

substitute

55^2= 42^2+ h^2

3025= 1764+ h^2

3025+1764= h^2

4789= h^2

h=√4789

h= 69.20

Hence the Heigth is 69.20in

7 0
2 years ago
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