1. Tom and his best friend Edward are seeking to join a gym. Tom saw on television that Platinum Gym was having a grand opening in a few months. Tom is considering a membership at Platinum Gym. Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month. Tom’s best friend Edward says he plans to join Super Fit because Super Fit only charges $10 a month but has a one-time registration fee of $150.(a) Write an expression to represent the membership cost of Platinum Gym for x months.(b) Write an expression to represent the membership cost of Super Fit for x months.
(c) If Tom decides to join Platinum Gym and Edward joins Super Fit, who would pay less during the first month of membership? Who would pay less after a year of membership? Show your work.
(d) Is there a membership period for which Tom and Edward would pay the same amount? If so, how long would this membership be and how much would it cost? Show your work.
(e) Which gym membership is a better deal? Explain why.

Answer:

Answers

Answer 1

Answer: A) let x=months let y=costy=mx+by= 20x+ 60Remember 20 is the variable which means in this case every month it cost 20$ and 60 is the constant which means you only pay it onceB) let x= Months let y= costy=10x + 150C) platinum gymy= 20x+60y=20(1)+60y=20+60y=80Superfity=10x+150y=10(1)+150y=10+150y=160Therefore Tom will pay less after the first monthD) y=y solve for xy=20x+60y=10x+15020x+60=10x+150-10x. -10x10x+ 60=150-60. -6010x=9010x/10=90/10X=99 monthsPick any equation and sub in xY=10x+150Y=10(9)+150Y=90+150Y=240240$Know that you only have to do one equation to find y but if you want to show both you canTherefore there is a period where Tom and Edward paid the same amount, after nine months they would both pay $240E) if they plan on going to the gym 9 months and less the best deal gym is platinum gym but if they want to go for more then 9 months then the best deal gym is super fit

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Round 2.408 to the nearest hundredth

If 90 is 80% of a value, what is that value?

Answers

The value of the number will be equal to 112.5.

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that 90 is equal to 80% of the number. The value of the number will be calculated below,

Let n be the unknown number the value of n will be calculated as below,

80% = 4 / 5

4/5n=90

4n=450

n=450/4

n=112.5

Therefore, the value of the number will be equal to 112.5.

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So 90 is 4/5 of a number.

4/5n=90

4n=450

n=450/4

n=112.5

A machine makes 300 boxes in 15 minutes. Which expression equals the unit rate in boxes per hour

Answers

300 divide 15 so it is y=60x

Final answer:

The unit rate of boxes produced per hour by the machine is 1200 boxes per hour. This is obtained by multiplying the number of boxes made in 15 minutes (300 boxes) by 4 to account for the 4 15-minute intervals in an hour.

Explanation:

To find the unit rate of boxes produced per hour, we first need to determine how many minutes are in an hour. There are 60 minutes in 1 hour.

Then, we need to figure out how many 15-minute intervals fit into 60 minutes. To do this, we divide 60 by 15, which gives us 4. This means there are 4 15-minute intervals in an hour.

Given that the machine makes 300 boxes in 15 minutes, we multiply this quantity by 4 to find out how many boxes it makes in an hour. Therefore, the expression for the unit rate in boxes per hour is 300 boxes * 4, which equals 1200 boxes per hour.

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Jeff mixed together 2 cups of grapefruit juice and 5 3/4 cups of lemon-lime soda to make punch. How many cups of punch did Jeff make?

Answers

7 3/4 brcause 5 3/4+2=7 3/4

Jeff made 7 cups . Hope I helped

Ellie walk 12ft down the hall of his house to get to the door he continues in a straight line out the door and across the yard to the mailbox a distance of 32 ft he came straight back cross the yard 14ft and stopped to pet his dog. how far did you go? please help me

Answers

12 + 32+ 14 feet, equals 58 feet

What is the solution of the equation -4x -14=6

Answers

Answer: x= -5

Step-by-step explanation: add 14 to 6 to get 20 then divide 20 by -4 to get -5

Answer:

-5

Step-by-step explanation:

-4x - 14 = 6

First you move the 14 over by addition since its being subtracted

-4x = 20

Now divide by -4 to get x by itself

x = -5

Damien bought a box of 28 cookies. At the end of the day, 3/5 of the cookies were uneaten. To determine how many cookies were eaten, 28 can be multiplied by which decimal value?

Answers

Answer:

28 could be multipled by .6

Step-by-step explanation:

3/5 is 60% of a number and 60% as a decimal is .6

1528.749387.8387487489

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