Casey wants to buy a gym membership. One gym has a $248 joining fee and costs $27 per month. Another gym has no joining fee and costs $58 per month. In how many months will both gym memberships cost the same? What will that cost be?

Answers

Answer 1

Answer:

In 8 months both gym memberships will cost the same and that cost will be $464

Step-by-step explanation:

Linear Models

To compare two gym memberships, we can help Casey to form one model for each gym.

One of them charges a $248 joining fee plus $27 per month. The model for this gym is:

G1 = 27m + 248

Where m is the number of months.

The other gym has no joining fee but charges $58 per month. It's model is:

G2 = 58m

The number of months where both gyms end up charging the same can be found by equating G1 = G2, or equivalently:

27m + 248 = 58m

Subtracting 27m and swapping the equation:

58m - 27m = 248

Simplifying:

31m = 248

Solving:

m = 248/31

m = 8

When m=8, both gyms charge the same:

G1 =27*8 + 248= $464

G2 = 58*8 = $464

Thus, in 8 months both gym memberships will cost the same and that cost will be $464


Related Questions

What was the result of medical advancements made during the Gupta Empire?

quarantine of the sick
proper diet and nutrition
vaccination against disease
education about germs and illness

Answers

Answer:

A.) quarantine of the sick

Step-by-step explanation:

A lot of people on this same question were saying that A is right.

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

Please do not come at me...

Answer:

It's C: vaccination against disease

Step-by-step explanation:

I know many people are saying A, B, or D but their all wrong I picked C and got it correct. Hope this helped (sorry I'm late)

Which is the graph of g(x) = (0.5)¥ + 3 – 4?

Answers

Answer:

slope is 1/2 and the y intercept is -1

What is the common factors of 9 and 67



Please don't google it

Answers

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

9 1, 3 9

67 1 and 67

so just enjoy ur day and have a great Christmas and new year

Express 28cm as
a percentage of 2m​

Answers

Answer:

12.5%

Step-by-step explanation:

it easy

12.5 percent

its simple

A bag of coins contains only quarters and dimes.
• The number of dimes in the bag can be represented by x.
• The number of quarters is 6 more than twice the number of dimes.
• There are a total of 276 coins in the bag.
What is x, the number of dimes in the bag?

helpp pls​

Answers

Answer:

Number of dimes in the bag = 90

Number of quarters in the bag = 186

Step-by-step explanation:

Let

x = Number of dimes in the bag

y = Number of quarters in the bag

= 2x + 6

Total = 276

276 = x + 2x + 6

276 = 3x + 6

276 - 6 = 3x

270 = 3x

x = 270/3

= 90

x = 90

Number of dimes in the bag = 90

Number of quarters in the bag = 2x + 6

= 2(90) + 6

=180 + 6

= 186

Total = Number of dimes in the bag + Number of quarters

= 90 + 186

= 276

Help me find the area please!

Answers

Answer:

787.5

Step-by-step explanation:

Givens

The bottom part of the figure is a trapezoid. Solve it first

a = 15 cm

b = 34 cm

h = 19 cm

Formula

Area = 1/2 (a + b)*h

Solution Trapezoid

area = 1/2 (15 + 34)*19

Area = 1/2 * 49 * 19

Area = 465.5

Remark

The top half of the figure is a parallelogram.

Formula

Area = base * height

Givens

base = 23

height = 14

Solution

Area = 23 * 14

Area = 322

Total Area

Total Area = 322 + 465.5

Total Area = 787.5

An ammonia and water mixture fills a five-gallon container. Eighty percent of the mixture is ammonia, but some of the mixture will be drained and replaced with pure water. If a five-gallon mixture of fifty percent ammonia is desired, how many quarts of the mixture need to be drained before the water is added, given that 4 quarts equals a gallon

Answers

Answer:

The volume of the 80% ammonia that is to be drained before water is added is 7.5 quartz

Step-by-step explanation:

The volume of the ammonia and water mixture = 5 gallons

The percentage of ammonia in the mixture = 80%

The volume of ammonia desired = 5 gallons

The percentage concentration of ammonia desired = 50%

The diluting solution = Pure water

The measure of 4 quarts = 1 gallon

Therefore, we have, by equivalence solutions;

80% × x gallon = 50% × 5 gallons

x gallon = 50% × 5 gallons/(80%) = 3.125 gallons

x = 3.125 gallons

The volume of the 80% ammonia that is to be drained = 5 gallons - 3.125 gallons = 1.875 gallons

4 quarts = 1 gallon

1 gallon = 4 quarts

∴ 1.875 gallons = 4 × 1.875 quartz = 7.5 quartz

The volume of the 80% ammonia that is to be drained before water is added = 7.5 quartz

Answer:

7.5

Step-by-step explanation:

Factorize;Answer the tick one i will mark you as brainlist please quickly step by step explanation also please show it clearly i will mark you as brainlist​

Answers

Answer:

Solved only ticked ones

4a² + 49b² = (2a + 7b)² - 28ab = 11² - 28*2 = 654x² + 9y² = (2x + 3y)² - 12xy = 12² - 12*6 = 724x² + 9y² = (2x - 3y)² + 12xy = 2² + 12*8 = 10016x² + 25y² = (4x - 5y)² + 40xy = 6² + 40*8 = 356

Answer:

use the formula:

[tex]a {}^{2} + {b}^{2} = (a + b) {}^{2} - 2ab[/tex]

1) 4a² + 49b²

= 2²a² + 7²b²

= (2a)² + (7b)²

based on the formula above, a = 2a and b = 7b

= ( 2a + 7b )² - 2(2a)(7b)

substitute 2a+7b = 11 into the equation

= 11² - 2( 14ab )

= 121 - 28ab

substitute ab = 2 into the equation

= 121 - 28(2)

= 121 - 56

= 65

2) 4x² + 9y²

= 2²x² + 3²y²

= (2x)² + (3y)²

based on the formula, a = 2x and b = 3y

= ( 2x + 3y )² - 2(2x)(3y)

substitute 2x+3y = 12 into the equation

= 12² - 2(2x)(3y)

= 144 -2(6xy)

= 144 - 12xy

substitute xy = 6 into the equation

= 144 - 12(6)

= 144 - 72

= 72

3) 4x² + 9y²

= 2²x² + 3²y²

= (2x)² + (3y)²

= (2x)² - (-3y)²

based on the formula, a=2x and b=-3y

= ( 2x-3y )²- 2(2x)(-3y)

substitute 2x-3y = 2 into the equation

= (2)² - 2(2x)(-3y)

= 4 - 2( -6xy )

= 4 + 12xy

substitute xy = 8 into the equation

= 4 + 12(8)

= 4 + 96

= 100

4) 16x² + 25y²

= 4²x² + 5²y²

= (4x)² + (5y)²

= (4x)² - (-5y)²

based on the formula, a = 4x and b = -5y

= (4x-5y)² - 2(4x)(-5y)

substitute 4x-5y = 6

= (6)² -2(4x)(-5y)

= 36 -2(-20xy)

= 36 + 40xy

substitute xy = 8 into the equation

= 36 + 40(8)

= 36 + 320

= 356

can someone help me !

Answers

Answer:

45

Step-by-step explanation:

180 - 75 = 105

105 - 15 = 90

45 x 45 = 90

Answer:

75+2x+15=180

2x=90. x=45

HELP!!! NEED ASAP!!!! WILL MARK BRAINLIST!!!

Answers

Answer:

2^-15

Step-by-step explanation:

HELP ILL GIVE brainliest !!

Answers

Answer: To distinguish, when using part-to-part ratios, you have to put a 2 numbers that can be summed to the total. Part-to-whole relationships is put from half or a number that doesn’t go over the total can be described as a part-to-whole.

Step-by-step explanation:

Answer:

part to part is comparing one part of a group to another part of the group but part to whole is comparing one part of the group to the enire group

Step-by-step explanation:

A example when looking trail mix would be:

Part to part: comparing the number of peanuts to the number of raisins

Part to whole: comparing the number of peanuts to the entire bag of trail max

Can someone help with this I’ll mark u as brainlist

Answers

Answer:i don’t really k ow but i need points to ask questions

Step-by-step explanation:

helppppppppppppppppp​

Answers

Answer:

b There is No Solution for this system

Step-by-step explanation:

When graphing out equations, the two equations have to intersect at one point to have a solution. If they are parallel, it means that they will never intersect at one point and thus there is no solution for the system. A pair of lines would only have infinitely many solutions when both lines are at the same position travelling in the same direction, overlapping each other.

in science class mrs.moore students were directed to weight a 300 gram mass on the balance scale tina weighed the object and reported 328 grams

Answers

Answer: 9 1/3%

Step-by-step explanation:

A shoe store is having a clearance sale on their summer shoes. All summer shoes are marked 55% off. A sign states you can take an additional 10% off the clearance sale prices. Kelly is deciding between two pairs of sandals shown in the table.
Shoes Original Price
Blue Sandals $75
Tan Sandals $68

If she buys the blue sandals, what is the final price Kelly will pay? Round to the nearest cent.

Answers

Answer:

$30.38

Step-by-step explanation:

Final Price = Original Price - Discount

Final Price = 75 - 41.25

Final Price = $33.75

Then its the additional 10%

So now you make your original cost $33.75 to make it easier so

Final Price = Original Price - Discount

Final Price = 33.75 - 3.375

Final Price = $30.38

Final Answer: $30.38

The final price Kelly will pay round to the nearest cent is $30 38¢

What is percent?

In mathematics, a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".

Now it is given that,

Discount = 55%

Additional discount = 10%

Original Price of Blue Sandals = $75

Original Price of Tan Sandals =  $68

Since Kelly bought blue sandels,

So, discount on Blue Sandals = 55% of $75

discount on Blue Sandals = 0.55 * $75 = $41.25

So, Cost of Blue Sandals = $75 - $41.25

⇒ Cost of Blue Sandals = $33.75

Now there is additional discount of 10%

Additional discount = 10% of $33.75

Additional discount = 0.10% * $33.75

Additional discount = $3.375

Thus, Final Cost of Blue Sandals = $33.75 - $3.375

⇒ Final Cost of Blue Sandals = $30.375

Round to the nearest cent final cost of Blue Sandals = $30 38¢

Thus, the final price Kelly will pay round to the nearest cent is $30 38¢

To learn more about Percentage visit :

brainly.com/question/24304697

#SPJ2

8 squared? please answer i have limited time​

Answers

Answer:

64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

to square smt means to multiply it by itself

help me: [tex]\int\limits^\pi _0 sin({x}) \, dx[/tex]

Answers

Answer:

[tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]

Step-by-step explanation:

To solve for the value of [tex]\int^{\pi}_{0}sin(x)dx[/tex], we need to first find the antiderivative of [tex]sin(x)[/tex].

Since the derivative of [tex]cos(x)[/tex] is [tex]-sin(x)[/tex], therefore the derivative of [tex]-cos(x)[/tex] is [tex]sin(x)[/tex]. With this:

[tex]\int^{\pi}_{0}sin(x)dx = -cos(\pi)-(-cos(0))[/tex]

[tex]=-cos(\pi)+cos(0)[/tex]

[tex]=-(-1)+1[/tex]

[tex]=2[/tex]

∴ [tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]

Hope this helps :)

Two airplanes are carrying food and medical supplies to a country in needOne airplane is carrying 63 meals and 51 medical The total the supplies on that airplane is The other airplane is carrying 77 meals and 51 medical kitsThe cost for the supplies on that airplane Write and solve a system of equations to find the price of one meal and the price of one third airplane is carrying 70 meals and 62 medical , what is the total cost of supplies

Answers

Answer:374

Step-by-step explanation:

you add them all then get the total

Anyone know the answer??

Answers

The slope to a parallel line would be : 2/1
The slope to a perpendicular line would be -1/2

PLEASE HELPP MEEE!!!!!
The opposite of 2 * a number is greater than -6

Answers

-2 is the correct answer

someone help me please i need this fast

Answers

Answer:

B, A vertical translation of 2 units.

Step-by-step explanation:

Its going up which means its positive NOT negative, vertical is up and down. Please put me branliest if I'm right which I'm very sure I am. Hoped I helped!

In the parallelogram shown, AE = t + 2, CE = 3t − 14, and DE = 2t + 8.

Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E.

What is the length of line segment DB?

20 units
24 units
48 units
68 units

Answers

Answer:

48 units

Step-by-step explanation:

The length of line segment DB is 48 units

What are parallelograms?

Parallelograms are shapes with opposite parallel sides

Start by calculating the measure of t using:

AE = CE --- the diagonals

So, we have

3t - 14 = t + 2

Collect like terms

3t - t = 14 + 2

Evaluate

t = 8

The length of segment DB is calculated as;

DB = 2 * DE

So, we have:

DB = 2 * (2t + 8)

Substitute 8 for t

DB = 2 * (2* 8 + 8)

Evaluate

DB = 48

Hence, the length of line segment DB is 48 units

Read more about parallelograms at:

https://brainly.com/question/2834871

PLEASEE HELP AND SHOW WORK​

Answers

Answer:

x = 25

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side, that is

x - 8 = [tex]\frac{1}{2}[/tex] × 34 = 17 ( add 8 to both sides )

x = 25

A ball is tied to a string and swung in a horizontal circle with a tangential speed of 2.5 m/s. The length of the string is 1.5m. Calculate the ball’s centripetal acceleration.

Answers

Answer:

[tex]a_c=4.17\ m/s^2[/tex]

Step-by-step explanation:

Centripetal Acceleration

It's the acceleration of an object moving in a uniform circular motion that pushed the object toward the center.

Its magnitude can be calculated as follows:

[tex]\displaystyle a_c=\frac{v^2}{r}[/tex]

Where:

v = tangential speed

r  = radius of the circle

The ball is tied to a string describing a circular motion with a radius of r=1.5 m. The tangential speed is v=2.5 m/s, thus the acceleration is:

[tex]\displaystyle a_c=\frac{2.5^2}{1.5}[/tex]

[tex]\displaystyle a_c=\frac{6.25}{1.5}[/tex]

[tex]\mathbf{a_c=4.17\ m/s^2}[/tex]

How is a rate simile do different from a ratio?

Answers

Both rates and ratios are a comparison of two numbers. A rate is a specific type of ratio. The difference is that a rate is a comparison of two numbers with different units, and a ratio compares two numbers with the same unit.

Which of the table in the image below represents a function?
Table 1
Input: 4, 3, 2
Output: 3, 2, 1
Table 2
Input: 1, 2, 3
Output: 3, 5, 7
Table 3
Input: 0, 1, 1
Output: 0, 4, 5
Table 4
Input: 4, 4, 4
Output: 1, 2, 3

Answers

Answer:

A

Step-by-step explanation:

Find the value of y.​

Answers

Answer:

B

Step-by-step explanation:

I need help with this question yeah i know i am spamming but i have to get this done or my mom will make me live with my dad!!!1!!!!!

Answers

Your answer is 108!!! Brainliest plzzzzz!!!!

question: How many unites down would triangle RST need to be translated in order for the coordinates of R to be (-3, 0)​

Answers

Answer C 5 units .... because you start at R and if you want to translate it to R’ (-3,0) you will count down until you have reached -3 which will be 5 units

Which expression is undefined?
A. (3 - 3)
——
7
B. 0➗5

C. (0 - 12)
——
-6
D. 8

(-2+2)

Answers

Answer:

Its D i had to guess but got it right :)

Step-by-step explanation:

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