Tonya plans to join a fitness club. She researched the costs to join different clubs in her area and found that there is a linear relationship between the total cost of belonging to a club and the number of months that you are a member. Each club charges monthly dues, and some clubs require new members to also pay a one-time membership fee. The total costs of being a member for 6 months, 12 months, and 24 months at each of three clubs are shown in the table. Total Cost of Fitness Club Membership Length of membership Club 1 Club 2 Club 3 6 months $108 $150 $126 12 months $216 $210 $252 24 months $432 $390 $504 How many of the clubs require new members to pay a one-time membership fee? 0 1 2 3

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

678


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The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room.Which equations can be used to solve for y, the length of the room? Check all that apply. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Jim has three times as many comic books as Charles. Charles has 2/3 as many books as Bob. Bob has 27 books. How many comic books does Jim have?
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Subtract 5x+2x-11 from 3x+^2+8x-7

Answers


A = 3x² + 8x - 7 - (5x² + 2x - 11)
A = 3x² + 8x - 7 - 5x² - 2x + 11
A = 3x² - 5x² + 8x - 2x - 7 + 11
A = - 2x² + 6x  + 4

What is the radius of a circle with circumference 17 mm? Round to the nearest tenth. Use 3.14 for radius

Answers

the radius is 2.71mm

A forester is making a gasoline-oil mixture for a chainsaw engine. The forester has 2 gallons of a mixture that is 29 parts gasoline and 1 part oil. How many gallons of gasoline should the forester add to bring the mixture to 49 parts gasoline and 1 part oil?

Answers

1 1/3 gallons should be added.

if 30 parts = 2 gallons
therefore 15 parts = 1 gallon

49-29 = 20

20 - 15 (aka 1 part) = 5
5/15 = 1/3

Final answer:

To adjust the gasoline to oil ratio to 49:1 in a 2 gallon mixture, the forester must add approximately 1.333 gallons of gasoline.

Explanation:

Given that there is a mixture of 2 gallons that is constituted of 29 parts of gasoline and 1 part of oil, it translates into a 30 parts mixture (29 parts gasoline + 1 part oil). In a single gallon of mixture, there are 29/30 gallons of gasoline and 1/30 gallon of oil.

When additional gasoline is added, the amount of oil in the mixture remains constant at 1/30 gallon per gallon while the amount of gasoline increases. To hit a ratio of 49 parts gasoline to 1 part oil, there should be 49 times more gasoline than oil. Since we know the amount of oil in a mixture is 1/30, the amount of gasoline added per gallon should be 49/30 gallons.

However, we start with 29/30 gallons of gasoline, therefore extra gasoline that will be needed per gallon is (49/30) - (29/30) = 20/30 = 2/3 gallons. Given that the mixture is 2 gallons, the forester should add 2/3*2 = 4/3 gallons or approximately 1.333 gallons of gasoline.

Learn more about Ratio and Proportion here:

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PLEASE HELP ME ASAP!! Solve the system of equations by substitution.Show Your Work
Y=2x-4
x+3y=4

Answers

the answer is x = 16/7

Need answer ASAP will give brainliest check out the picture the answrs: 2, 65, 69, 60, 120, 89, and 30

Answers

I think it is 120

The total of the shape is 180 so it telling us to take away 1/3 of it so 60 away from 180 is 120

A pharmacy claims that the average medication costs $32 but it could differ as much as $8. Write and solve an absolute value inequality to determine the range of medication costs at this pharmacy.A) |x − 32| ≥ 8; The medication costs range from $24 to $40
B)|x − 32| ≥ 8; The medications cost less than $24 or greater than $40.
C) |x − 32| ≤ 8; The medication costs range from $24 to $40
D) |x − 32| ≤8; The medications cost less than $24 or greater than $40.

Answers

Answer:

Therefore, Option C is correct that is |x-32|\leq8|{\text{the medication costs range from $24to $40}.

Step-by-step explanation:

We have given medication cost $32

Since, we have given as much as 8 so the inequality will maximum goes upto 8.

|x-32|\leq8

Now, we will solve the inequality for x we will get

We will first open the modulus function by its definition we will get

which is |x| is +x  and -x

(x-32)\leq8

x=32+8=40

x=40

And -(x-32)\leq8

-x+32=8

x=24

Therefore, Option C is correct

So,

We can tell that the most expensive medication costs $40 and the cheapest costs $24.  Thus, only options A and C are left.

To see which inequality is true, test a value, such as $30, in the equation in option C.

|30 - 32| ≤ 8
|-2| ≤ 8
2 ≤ 8

Option C is correct.