At New years you decide to join a gym to lose all those calories gained during winter break and youre comparing two different gyms. The first gym, gym A has a 12$ initiation fee and then costs 10$ per month. The second gym , gym B has a 20$ initiation fee and then costs 6$ per month. Create an equation that aims to find when these two gyms will cost the same amount of money

Answers

Answer 1

Given:

For gym A, initiation fee = $12 and cost = $10 per month.

For gym B, initiation fee = $20 and cost = $6 per month.

To find:

The equation that aims to find when these two gyms will cost the same amount of money,

Solution:

Let the number of months be x.

Cost function = Initiation fee + (cost)(x)

Cost function for gym A is

[tex]f(x)=12+10x[/tex]

Cost function for gym B is

[tex]g(x)=20+6x[/tex]

Cost of these two gyms are equal if f(x)=g(x).

[tex]12+10x=20+6x[/tex]

Therefore, the required equation is [tex]12+10x=20+6x[/tex].

On solving this equation, we get

[tex]10x-6x=20-12[/tex]

[tex]4x=8[/tex]

[tex]x=2[/tex]

Hence, after 2 months the cost of these two gyms are same.


Related Questions


What two perfect squares does 11 sit in
between?

Answers

I think the answer is 9 and 16

Using the scale 1 cm : 5 meters, Tamara calculated the length of her old gym to be 45 meters and the width to be 20 meters.

Using a new scale, 1 cm : 10 meters, she found the length of the new gym to be 90 meters.



The width of the new gym is
meters.
The length and width of the new gym are
times the length and width of the old gym.

Answers

Answer:

1.The width of the new gym is 40

2.The length and width of the new gym are  

times the length and width of the old gym 2

Answer:

The width of the new gym is 40 meters.

The length and width of the new gym are 2 times the length and width of the old gym.

Step-by-step explanation:

Give one real world example of rate to f change

Answers

Answer:

1, A horse runs 27 miles per hour (distance traveled changes by 27 miles for each hour)

Step-by-step explanation:

hope it helps!

What does it mean by "interpret its meaning"? I underlined it for you guys.

Answers

Like what is it’s meaning in that problem.

Answer:

1: 300 miles/hour; 2: 5$/hour; 3: 10$ sales price/20$ retail price.

Step-by-step explanation:

1: You have to find the amount of distance traveled per hour.

Answer: 300 miles per hour.

2. You have to find the amount of money earned per hour.

Answer: 5$ per hour.

3: You have to find the sales price per retail price.

Answer: 10$ of sales price per 20$ of retail price.

Will give brainliest for the first and the correct answer.

Answers

Answer:

x=4

Step-by-step explanation:

Cross multiply both sides to get 2(3x)=(x+20). Simplify to get 6x=x+20. Subtract x from both sides to get 5x=20, and divide both sides by 5 to get 4 as the value of x. The value of x will be your answer.

Answer:

A.) x = 4

Step-by-step explanation:

If [tex]\frac {(x+20)} {2} = 3x[/tex], then we plugin values:

[tex]\frac {(4+20)} {2} = 12[/tex]  which is equal to 3(4).

What number goes before 8 but is not 7?

Answers

Answer:

7.01

7.02

7.03

7.04

and on and on till

7.99

or 7 1/100 7 2/100 and on and on

Step-by-step explanation:

Match the properties with the steps to solving the following equation. 1/2(8x-6) = x+9

Answers

Answer:

Step-by-step explanation:

Given equation is,

[tex]\frac{1}{2}(8x-6)=x+9[/tex]

By distribution property,

4x - 3 = x + 9

By subtraction property of Equality,

4x - x - 3 = 9

3x - 3 = 9

By Addition property of equality,

3x = 3 + 9

3x = 12

By division property of equality,

[tex]\frac{3x}{3}=\frac{12}{3}[/tex]

x = 4

find the value of: ​

Answers

Answer:

the value is 6

Step-by-step explanation:

substitue



Combining like terms with rati
Combine like terms to create an equivalent expression.
-2.5(4x-3)

Answers

Answer: − 10 x + 7.5

Step-by-step explanation:

Answer:

− 10 x + 7.5

Step-by-step explanation:

Hope this helped!

Estimate the square root of 19 to the nearest tenths place

Answers

answer: 4.3

(picture below contains the whole number)

1. Alexis went shopping for school supplies with $80 in his bank account. He bought a bunch of binders for $23, pens and pencils for $16, and a new backpack for $37. Did Alexis have enough money to purchase all these supplies? -​

Answers

Answer: So alexis had $80 And he bought a bunch of binders for $23 So If you do the math you will get: $57 But then he buys pens and pencils for $16 So:

$57 - $16 = $41 And then he buys a new backpack for $37. So : $41 - $37 = $4

So yes he had enough to buy all the stuff and still had a little bit leftover!

Hope this helps!

Step-by-step explanation:

Can someone please help me.

Answers

Answer:

linear

Step-by-step explanation:

to be a linear equation it needs to have consistent rate of change for x and y. its constant for x at +4 but not for y at +16 +8 and +16

Non linear because the change in the y axis is not constant

Given the functions f(x) = 2x2 +5 and g(x) = 8+x find go f(-5)

A. 63
B.3.
C.2
D.23

Answers

Answer:

A. 63

Step-by-step explanation:

Given functions:

    f(x) = 2x² + 5

    g(x) = 8 + x

find:

g o f(-5)

Solution:

Start first by finding f(-5);

       f(x) = 2x² + 5

              = 2(-5)² + 5

              = 50 + 5

              = 55

Now

g o f(-5);

     g(55) = 8 + 55 = 63

-4 = - 17 + x linear equations

Answers

add 17 to both sides

13 = x

hope this helps

See attachment for math work and answer.

2m=-6n-5

Solve for M

Answers

Hey :)


m= -3n -5/2

The equation is in standard form
2m = −6n −5


Divide both sides by 2
2m/2 = -6n-5/2


Dividing by 2 undoes the multiplication by 2
m= -6n -5/ 2


Divide −6n−5 by 2
m= -3n -5/2

Hope this helps :)

m= -3n -5/2

What is mathematical equation?

Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account. An example of an equation is 2+2 = 3+1.

In the given equation,

2m = −6n −5

Divide by 2 on both sides, we get

2m/2 = −6n/2 −5/2

m = -3n - 5/2

Therefore, our value of m is in terms of n, which is -3n - 5/2

Read more about mathematical equation here:

https://brainly.in/question/14933717

#SPJ2

Susan rides her bicycle 5 miles in 1/2 of an hour. At this rate, how many miles could she ride in 2 hours?

Answers

Answer:

20 miles

Step-by-step explanation:

to find how many miles she travels in one hour, multiply by 2 to get 10, and then multiply it by 2 again to find 2 hours

Answer:

20 miles

Step-by-step explanation:

To find out how many miles can be ridden in 2 hours, multiply 1/2 and 5 by 4 to get both answers like so:

1/2 (4) = 2 HOURS

5 (4) = 20 MILES

Therefore, Susan can ride her bike 20 miles in 2 hours.  

HHHHHEEEEELLLLLPPPPP. MMMMMEEEEE

Answers

Answer:

Sorry if I’m wrong but is it ... 90???

Step-by-step explanation:

Answer:  B) 89

========================================================

Work Shown:

The given list is {95, 89, 99, 85, 82, 81, 99}

Sort this list from smallest to largest.

We then have this: {81, 82, 85, 89, 95, 99, 99}

Next we will erase the first and last items in that sorted list above

Doing so leads to this smaller list: {82, 85, 89, 95, 99}

Repeat the step from before. Erase the first and last items

We now have {85, 89, 95}

One more time lets erase the first and last items getting {89}

This shows that 89 is the very center item

Going back to {81, 82, 85, 89, 95, 99, 99} we see that 89 is at the center with three items below it (81,82,85) and three items above it (95,99,99)

Therefore, the median is 89.

----------------------------------

Another route to take is to count the number of items in {81, 82, 85, 89, 95, 99, 99}. You should count 7 items.

Add 1 and divide by 2 to get (7+1)/2 = 8/2 = 4

The median is in slot 4, which is exactly where 89 is located in the list {81, 82, 85, 89, 95, 99, 99}

Note: this trick only works if you have an odd number of items in a set.

Evaluate x2 - 7xy for x = 7 and y = 3.

Answers

Answer:

-98

Step-by-step explanation:

I hope this help

hich statements are true? Check all that apply. Negative 2.5 = negative 2 and one-half –1.5 > –0.5 –0.5 < 0 –2.5 < –2 1 and one-half greater-than 1.5

Answers

Answer:

Negative 2.5= negative 2 and one-half, -0.5<0, -2.5 < -2.

Step-by-step explanation:

Put the words in numbers and symbols first and separate the sentence

Answer:

A C D

Step-by-step explanation:

Trust me on this I got it correct.

Rewrite 8 2/5
as an improper fraction.

Answers

the answer would be 42/5 all u have to do is multiply 8 and 5 and add 2 then put it over 5

Answer:

42/5

Step-by-step explanation:

If you multiply the denominator (5) by the whole number you would get 40, so then, you add this to the numerator (2), you would get 42 after. So the answer would be 42/5 (you keep the denominator). You can trust my answer because I'm n middle school and this was in like elementary school :P

Plz I need your help I don’t understand

Answers

Answer:

1). 15.5 miles

2). 8.4 miles

3). 0.08 per ounce

Step-by-step explanation:

213 ÷ 6 = 15.5

25.2 ÷ 3 = 8.4

0.96 ÷ 12 = 0.08

Hope this helps!!

if y =32 when x =8 find y when x =30

Answers

Answer:

y = 120

Step-by-step explanation:

If y = 32 when x = 8, then y is 4 times the number of x. If x = 30, then (4)30 = 120.

ALGEBRA I
1
MODULE 1
A clothing company sells hats online to its customers. The price of each hat is p dollars. The
shipping cost is s dollars. The equation shown below can be used to find the total cost (c), in
dollars, when n hats are purchased.
C = np + S
A. Kayla bought two hats from a clothing store company for $9.99 each.
The cost of shipping for each order is $1.79. Write an equation that
can be used to find the total amount Kayla spent.
1
(use this space for work or to explain)
Equation:
(1 Pt)

Answers

Answer: C = (2)(9.99) + 1.79

C = $21.77

Step-by-step explanation:

Answer:

23.56

Step-by-step explanation:

2(9.99)+2(1.79)

66°
OT 6
11
12/13
Find the measure of the angle

Answers

B g I gcm gzhzrdyzrabc Vega. BzdzdGvm

You are preparing a case study on the dallas cowboys. You use many methods of data collection in creating the case study. Here is an excerpt: the dallas cowboys were formed in 1960 and have had seven head coaches since then. I surveyed 100 people and one of the questions was, who is your favorite coach of the dallas cowboys? Seventy people said tom landry, fifteen said jimmy johnson, five said bill parcells, and ten answered other. One of those who answered other was my brother. I asked him which coach was his favorite and he said, "barry switzer because he was the last one to win a championship." i knew he was kidding because he had a smirk on his face. The excerpt relays information gathered from questionnaires, interviews, observations, and historical data. Identify the information from the case study that was collected by each of the four methods.

Answers

Answer:

The information that was collected by each of the four methods is;

The participant's favorite coach of the Dallas Cowboys.

Step-by-step explanation:

For each of the four methods listed, the question that stood out was the favorite coach of the Dallas Cowboys among the participants in the study.

Questionnaire: one of the questions was, who is your favorite coach of the Dallas cowboys?

Interview: I asked him which coach was his favorite

Observation: I knew he was kidding because he had a smirk on his face. This observation showed that Barry Switzer was not really his favorite coach.

Historical data:  I asked him which coach was his favorite and he said, "Barry Switzer because he was the last one to win a championship." This historical data shows that the reason why Barry Switzer was chosen as the researcher's favorite coach was that he was the last to win a championship.

Find the product

(7+2u) (7-2u)

Options:

a) 49+4u

b) 49-4u(square root sign)

c) 4u(square root sign) - 49​

Answers

Answer:

b

Step-by-step explanation:

if you mean squared and not square root, then it would be b because if you factor it back out, you will get the original expression back because of the subtraction of perfect squares.

Answer:

          b)  [tex]\boxed{\bold{(7+2u)(7-2u)=49-4u^2}}[/tex]

Step-by-step explanation:

[tex](7+2u) (7-2u)=(7)(7)+(7)(-2u)+(2u)(7)+(2u)(-2u)=\\\\=49-14u+14u-4u^2=\ \underline{49-4u^2}[/tex]

Please help I am so confused!

Answers

Answer:

D

Step-by-step explanation:

If you match what the numbers say you will see the answer is D

A line passes through the point (-6,6) and has a slope of 3/2.

Answers

Answer:

y=3/2x+15

Step-by-step explanation:

Answer:

y=3/2+15

Step-by-step explanation:

What is the opposite of negative 21 or -21

Answers

Answer:

21

Step-by-step explanation:

thats the opposite of negative 21

Answer:

positive 21

Step-by-step explanation:

solve simultaneous equations 4x+2y=7
3x-5y=-24

Answers

Answer:

x= -1/2

y= 4.5

Step-by-step explanation:

4x+2y=7

3x-5y=-24

First either make the x or y's the same. It is easier here to make the y's the same.

Multiply each of the first equation by 5 and the second one by 2.

x5   4x+2=7   x5 = 20x+10y=35

x2   3x-5y=-24  x2= 6x-10y=-48

20x+10y=35

6x-10y=-48         +both equations

26x=-13

/26

x=-1/2

Now substitute to find y.

4(-1/2)+2y=7

-2+2y=7

+2

2y=9

/2

y= 4.5

Hope this helped :)

Other Questions
Simplify -7 + 7 -19 A.12 B.-19 C. 0 D.19 PlZZzz Help me do you guys know this by any chance Who wants biggie points hurry only for a limited time Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,100, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,500. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let x4 = the number of 4-cylinder connecting rods produced next weekx6 = the number of 6-cylinder connecting rods produced next weeks4 = 1 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwises6 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwiseRequired:Using the decision variables x4 and s4, write a constraint that sets next week. Which style frequently made use of terraced dynamics?O A. BaroqueO B. Stile anticoO C. RenaissanceO D. Classical How much mixed spice will she need for 6 spice King Costume uses a periodic inventory system. The company started the month with 6 masks in its beginning inventory that cost $8 each. During the month, King Costume purchased 41 additional masks for $10 each. At the end of the month, King counted its inventory and found that 3 masks remained unsold. Using the LIFO method, its cost of goods sold for the month is: What is a law in question ? HELP ME PLS THIS IS URGENT ASAP PLS HELP ILL BRAINLISTTT Suppose you have seven movies on DVD (two comedy, three action, and two horror) to put on a shelf. If you choose the DVDs at random, what is the probability that the first one is horror and the second one is action?A: 66.67%B: 7.14%C: 4.76%D: 14.29% Which is inversely proportional to your weight on a planet's surface?A. Only your massB. Your mass and the mass of the planetO O OC. Only the planet's massD. The distance from the surface to the center of the planet What sentence has the grammar error.(1) A gorilla mother holding her baby.(2) The mother would comfort her child and hold him close.(3) That is what first drew me to the gorilla enclosure at the zoo, and it is what kept me coming back.(4) It was also what made me want to learn more about gorillas. CAN SOMEONE SUMMARIZE THIS FOR ME I SUCK AT ENGLISH SORRY Musical memories are often preserved in Alzheimers disease because key brain areas linked to musical memory are relatively in damaged by the disease PLEASE HELP ME ASAP ! Please help me The early American authors of the Articles of Confederation wanted to preserve the states' sovereignty.explain why would this have been advantageous. Elaborate in detail with at least three reasons. Why would this have been a disadvantage. Elaborate in detail with at least three reasons Kasey colloectes 85 out of 120 pokimon cards. Write this as a decimal. PLZPLZPLZPLZHELPHELPHELPASAP!!Rectangle A measures 8 inches by 5 inches. Rectangle B is a scaled copy of Rectangle A. Select all the measurement pairs that could be the dimensions of Rectangle B.1. 4 inches by 2.5 inches2. 15 inches by 10 inches3. 24 inches by 15 inches4. 9 inches by 6 inches Translate the following statement into an inequality. Use x as the variable.A girl could spend at most $23 on a gift.Choose the correct answer below.A x < 23B X323C X>23D x >223 - Does anyone know what the slope equation is for this graph. PLz explain if you can. Ty! Cute Camel Woodcraft Companys income statement reports data for its first year of operation. The firms CEO would like sales to increase by 25% next year.1. Cute Camel is able to achieve this level of increased sales, but its interest costs increase from 10% to 15% of earnings before interest and taxes (EBIT).2. The companys operating costs (excluding depreciation and amortization) remain at 60% of net sales, and its depreciation and amortization expenses remain constant from year to year.3. The companys tax rate remains constant at 25% of its pre-tax income or earnings before taxes (EBT).4. In Year 2, Cute Camel expects to pay $100,000 and $1,759,500 of preferred and common stock dividends, respectively.Complete the Year 2 income statement data for Cute Camel.Cute Camel Woodcraft CompanyIncome Statement for Year Ending December 31Year 1 Year 2 (forecasted)Net sales $15,000,000 Less: Operating costs, except depreciation and amortization 9,000,000 Less: Depreciation and amortization expenses 600,000 600,000Operating income (or EBIT) $5,400,000 Less: Interest expense 540,000 Pre-tax income (or EBT) 4,860,000 Less: Taxes (25%) 1,215,000 Earnings after taxes $3,645,000 Less: Preferred stock dividends 100,000 Earnings available to common shareholders 3,545,000 Less: Common stock dividends 1,458,000 Contribution to retained earnings $2,087,000 $2,539,250Given the results of the previous income statement calculations, complete the following statements: In Year 2, if Cold Goose has 5,000 shares of preferred stock issued and outstanding, then each preferred share should expect to receive____in annual dividends. If Cold Goose has 400,000 shares of common stock issued and outstanding, then the firms earnings per share (EPS) is expected to change from_____in Year 1 to_____in Year 2. Cold Gooses earnings before interest, taxes, depreciation and amortization (EBITDA) value changed from_____in Year 1 to_____in Year 2. It is_____to say that Cold Gooses net inflows and outflows of cash at the end of Years 1 and 2 are equal to the companys annual contribution to retained earnings, $3,485,500 and $4,284,812, respectively. This is because_____of the items reported in the income statement involve payments and receipts of cash.