At Silver Gym, membership is $25 per month, and personal training sessions are $30 each. At Fit Factor,
membership is $45 per month, and personal training sessions are $20 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

Answers

Answer 1

Answer:

2

Step-by-step explanation:

y = mx + b

y = total cost of the gym

m = cost per personal session

x = number of sessions

b = cost of one month

Silver gym:

y = 30x + 25

Fit Factor:

y = 20x + 45

Set them Equal to each other:

30x + 25 = 20x + 45                   (get Xs on one side by subtracting 20x)

10x + 25 = 45                              (isolate x by subtracting 25 from both sides)

10x = 20                                      (divide both sides by 10)

x = 2 personal training sessions to make the cost equal


Related Questions

Graph the image of square TUVW after the following sequence of transformations:
Rotation 180 counterclockwise around the origin
Reflection across the y-axis

Please help! I don’t understand!

Answers

Move the shape down by one quadrant and flip it so where “U” was at, “W” is in its place and Vice versa

It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. Athletes are tested to see if they are using illegal drugs or not using illegal drugs and the test can come back positive or negative. The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user). What is the probability that an athlete tests negative and is not a user of an illegal drug

Answers

Answer:

0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Not a user of an illegal drug.

Event B: Tests negative.

The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user)

This means that [tex]P(B|A) = 0.9[/tex]

It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance.

So 100 - 3 = 97% probability that the athlete does not use the drug, so [tex]P(A) = 0.97[/tex]

What is the probability that an athlete tests negative and is not a user of an illegal drug

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = 0.9*0.97 = 0.873[/tex]

0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug

Find the quotient.

0.15)6.435

Answers

Answer:

42.9

Step-by-step explanation:

Remember your decimal rules when doing long division

Santa and Mrs Claus are eating cookies santa ate 10/20 of the cookies and Mrs Claus ate the rest what fraction did Mrs Claus eat ?​

Answers

Answer: 10/20 or 1/2

Step-by-step explanation:

10 is the half of twenty, if she’s gonna eat the rest, she’s gonna eat the other half

Santa ate 10/20. right?

so you would subtract 10 from 20

which would give you 10

so Mrs. Claus also ate 10/20

-----

Another way to solve:

since 10/20 = 50%

Mrs. Claus ate the same amount

because 50% is half of 100% ( 1 whole )

So, Mrs. Claus ate 10/20

A hockey team scored the following number of goals in their last 5 games:
2, 3, 5, 3, 2

Which is the mean absolute deviation of the number of goals?

Answers

The answer is 3. 3 is the answer.

Answer:

3.3

Step-by-step explanation:

Which are corresponding angles

Answers

Answer:

oposite to its angle when they are parallel

A_________is a set that is contained in a larger set.

Answers

A subset is a set that is contained in a larger set.

Wen and five friends equally share 1/3 of a pan of snack bars. Which expression shows how much of the pan each person gets?

Answers

Answer:

Step-by-step explanation:

I'm pretty sure the expression is 1/3 ÷ 6

This is because there are 6 friends in all and you are splitting 1/3 of the pan snack bars to each of them.

So, what your splitting/cutting/dividing would be the dividend (1/3) and then the friends would be the divisor (6)

A counselor at the local chapter of Impulse Buyers Anonymous had just conducted a weekend workshop on how to be less suggestible. To find out if the workshop had any effect, she had each participant fill out a questionnaire that measured suggestibility, with high scores indicating high suggestibility. (Several such questionnaires exist.) Suppose that the national norm (mean) for the questionnaire that was used was 25 and that the participants produced the following statistics. Construct a 95 percent confidence interval and sentence of interpretation that tells about the effect of the workshop.ΣΧ = 242 ΣΧ2 = 5,413 N = 11

Answers

Answer:

(20.322 ; 23.678)

Step-by-step explanation:

Given that :

ΣΧ = 242 ; ΣΧ2 = 5,413 ; N = 11

Mean, m = ΣΧ / N = 242 / 11 = 22

Standard deviation = sqrt[(ΣΧ2/N) - (ΣΧ/N)²]

Standard deviation = sqrt[(5413/11) - (242/11)^2]

Standard deviation = sqrt(8.0909090) = 2.84

Confidence interval = m ± Zcritical * s/sqrt(n)

Zcritical at 95% = 1.96

Lower boundary = 22 - 1.96*2.84/sqrt(11)

Lower boundary = 22 - (1.96 * 0.8562922) = 20.322

Upper boundary = 22 + (1.96 * 0.8562922) = 23.678

Simplify the expression. -10 + (-5w) + (-3W) + 12w

Answers

Answer:

so 5w +3w=8w+12w= 20w -10 so the answer is 20w-10 that is how I learned

Solve the equation 6x = 72 for x.
x=

Answers

Answer:

12

Step-by-step explanation:

you have 72 and 6

72 divided by 6 equals 12.

12 x 6 = 72

12 = x

What is the answer to this how to work it

Answers

9514 1404 393

Answer:

  (A)  -7

Step-by-step explanation:

The function is continuous if you can draw its graph without lifting your pencil. In this case, that means each of the piecewise function definitions must have the same value at x=3.

  x^2 +2 = 6x +k  . . . . . must be true at x=3

  3^2 +2 = 6(3) +k . . . . substitute 3 for x

  9 +2 -18 = k . . . . . . . . subtract 18

  k = -7 . . . . . . . simplify

Which of the following is a quadratic equation whose roots are 3 and -1?

Answers

answer:
(x-3)(x+1)
x^2-2x-3

Answer:

JK up FMyRick they rock TBD Trinity scrump TV TM in

what does the denominator of 3/2 mean?

Answers

Hello!

The denominator is like the number under the line. So in this case, 2 would be the denominator.

~Sophia

What is the correct answer?​

Answers

I think it is 5.64 I hope this helps

The ground temperature at airport is 12 degrees. The temperature decreases by 5.2 degrees for every mile above ground. What would be temperature outside plane located at 3 miles above the airport

Answers

Answer:

The outside plane located at 3 miles above the airport is of -3.6 degrees.

Step-by-step explanation:

The ground temperature at airport is 12 degrees. The temperature decreases by 5.2 degrees for every mile above ground.

This means that the temperature in n miles above ground is given by:

[tex]T(n) = 12 - 5.2n[/tex]

What would be temperature outside plane located at 3 miles above the airport

This is T(3). So

[tex]T(3) = 12 - 5.2*3 = 12 - 15.6 = -3.6[/tex]

The outside plane located at 3 miles above the airport is of -3.6 degrees.

Kuta software - Infinite Algebra 1

Solving System of Inequalities

Sketch the solution to each system of inequalities.

Answers

Answer:

y

x

2

(1)

y

5

x

+

2

(2)

First graph the 2 linear functions by intercepts:

a. y1 = - x - 2

Make x = 0 --> y-intercept is -2

Make y = 0 --> x-intercept is - 2

b. y2 = -5x + 2

Make x = 0 --> y-intercept is 2

Make y = 0 --> x-intercept is

2

5

Graphically solve the 2 linear inequalities (1) and (2).

The solution set of (1) is the area below the line y1. Color it.

The solution set of (2) is the area above the line y2. Color it.

The combined solution set of the system is the area commonly shared by the 2 above solution set areas.

graph{-x - 2 [-10, 10, -5, 5]}

graph{-5x + 2 [-10, 10, -5, 5]}

Find the measure of the missing angle.

Answers

Answer:

80

Step-by-step explanation:

because T to R is 80 too

Answer: 105

Explanation:
80 + 25 = 105
180 - 105 = 75

180 - 75= 105

A rectangle has an area of 48 cm² and a perimeter of 38 cm. What are the dimensions of the rectangle?

A. 1 cm X 48 cm

B. 2 cm x 24 cm

C. 3 cm x 16 cm

D. 4 cm x 12 cm

E. 6 cm x 8 cm​

Answers

Answer:

c

Step-by-step explanation:

3x16=48

3+16+3+16=48

pls brainliest

john bought 120 jars of honey to the farmers market. he sold 2/3 of the jars on sunday.how many jars are left to sell on sunday

Answers

Answer:

The answer is 80. If you multiply 40 x 3 it is 120 and 40 x 2 is 80 so 2/3 of 120 is 80 NOT 40

21 − 3 ) ÷ 32 =
72 × ( 6 ÷ 3 ) =
17 + 15 ÷ 3 − 24 =
( 8 + 56 )÷ 4 − 32 =

Answers

1. 0.5625
2. 144
3. -2
4. -16

Question 3
1 pts
If a porcelain doll can be made in 2 1/2 hours, how many dolls can be made in 100 hours?
40
50
250
35

Answers

Answer:

40

Step-by-step explanation:

100/2.5=40

What is the simplest form of the quotation simplify by rationalizing the denominator

Answers

Answer: below

Step-by-step explanation:

So, in order to rationalize the denominator, we need to get rid of all radicals that are in the denominator.

Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator. ...

Step 2: Make sure all radicals are simplified. ...

Step 3: Simplify the fraction if needed.

helpppp it’s dueee rnnnn

Answers

Answer:d and a

Step-by-step explanation:

What is the height of a triangle, if the area is 20 square inches and the base is 5 inches? Be sure that you can explain how you found your answer.

Answers

so normally we would be finding the area of a triangle which is a=h*b/2

but in this case we are finding the height so theirs 3 ways to do this but i prefer the basic way

20=1/2(5)h

20=2.5

8=h

and to find out if that was correct lets do  8*5=40      40/ 2 =20  so this is correct

the height is 8

Answer:8

Step-by-step explanation:

Help needed today plsss

Answers

Answer:for #2 it's answer 1. #3 is " five less than twice a number is 2x-5. Then 5 times the sum of two numbers if 5x+y. The the difference of 5 and a number squared is (5-x)*2

Step-by-step explanation:

Hope this helps

4 2/3 = 5 − 1/3
true or false

Answers

Answer:

true

Step-by-step explanation:

take away 1/3 from 5 and you get four and a third

PLEASE HELP GIVING OUT BRAINLEST

A 21-foot ladder is leaning against the side of a building and is positioned with its base 10 feet from the building. How far above the ground does the top of the ladder touch the building? Round your answer to the nearest foot.

Answers

The answer is in the picture. I hope this helps you

According to exponent rules, when we multiply powers we______
the exponents.

Pick one-
divide
add
multiply
subtract

Answers

Answer:

Add

Step-by-step explanation:

start at 4. Create a pattern that adds 3 and subtracts 1 from the number to create the next number, Stop when you 5 numbers. ​

Answers

Answer:

6 8 10 12 14

Step-by-step explanation:

4 6 8 10 12 is the answer
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