PLEASE!!!

A gym offers two different membership options. In the first option, new members pay a one-time fee of $50 and a monthly fee of $30. In the second option, members pay a one-time fee of $100 and a monthly fee of $20.
Suppose c is the total membership cost for m months. The two equations that model the two membership options are c = 30m + 50 and c = 20m + 100.

Part A
1. To find out when the cost will be equal, you will need to solve for m using substitution. Substitute the expression for the cost from the first equation into the cost, c, in the second equation.

2. Solve the equation in number 1 for m

3. Would you get the same solution if you substituted the expression for cost in the second option for c in the first equation? Why?

Answers

Answer 1

9514 1404 393

Answer:

30m +50 = 20m +100m = 5yes. symmetric property of equality.

Step-by-step explanation:

1. The expression for c in the first equation is (30m+50). Substituting that for c in the equation ...

  c = 20m +100

gives you ...

  30m +50 = 20m +100

__

2. Adding -50-20m to both sides gives ...

  10m = 50

  m = 5 . . . . . . . divide by 10

__

3. Doing the substitution in reverse, you would substitute (20m+100) for c in the equation ...

  c = 30m +50

to get ...

  20m +100 = 30m +50

This is the equation of part 1 with the expressions swapped to the other side of the equal sign. The symmetric property of equality tells you that changing sides of the equal sign does not change the value of the variable(s).

You get the same solution.


Related Questions

You spin the spinner twice,
What is the probability of landing on an 8 and then landing on an 8?

Answers

Answer:

if this is an ixl pls send me an screen shot of it

Step-by-step explanation:

Answer: if you could post a picture of what the spinner looks like I’m sure I could answer the question

Step-by-step explanation:

At age 21, Felipe is 60% of the minimum age he must be to become U.S. President.
What is the minimum age he must be to become U.S. President?

Answers

35 years of age
Hope this helped

Answer:

35 years

Step-by-step explanation:

[tex]\frac{60}{100} = \frac{21}{y}[/tex]

Cross Multiplying:

[tex]21*100 = 2,100\\2,100/60 = 35[/tex]

An estate valued at $60 000 is divided among
three daughters Annette, Betty and Carol in the
ratio 1:2:3 respectively.
(a) Calculate the amount each received.

Answers

Answer:34 13

Step-by-step explanation:

ffrff

20000 I divided 60,000 by 3 because there are three of them

please help due todayyy://

Answers

Answer:

B. product graph

Step-by-step explanation:

Hope it helps

CarryOnLearning

Si por 3 kilogramos de manzana se pagan $20. ¿Cuánto hay que pagar por 15 kilogramos?

Answers

PLEASE ANSWER BOTH AS FAST AS POSSIBLE PLEASE HELP HELP ILL MARK BRAINLEST!!!!!

Answer:

$100

Step-by-step explanation:

15÷3=5

20•5=100

Hope this helps

9=7+a
a+8=b+5
what is b​

Answers

Answer:

b=5

Step-by-step explanation:

9=7+a

-7

2=a

a+8=b+5

10=b+5

-5

5=b or b=5

please help, dont answer if you dont know

Answers

Answer:

Step-by-step explanation:

A. 1/3

2a+3b as a column vector

Answers

Answer:

Step-by-step explanation:

The measures of the exterior angles of a hexagon are x°x°, 2x°2x°, 5x°5x°, 6x°6x°, 7x°7x°, and 9x°9x°. Solve for x.

Answers

Answer:

x = 12°

Step-by-step explanation:

The measures of the exterior angles of a hexagon are x°, 2x°, 5x°, 6x°, 7x°, and 9x°. Solve for x.

The sum of the exterior angles of a polygon sums up to 360

An hexagon is a 6 - sided polygon

(x + 2x + 5x + 6x + 7x + 9x) = 360

30x = 360

Divide both sides by 30

x = 360 / 30

x = 12

Hence, x = 12°

Two angles form a linear pair. The measure of one angle is eight
times greater than the measure of the other angle. Find the measure
of the bigger angle only.

Answers

Answer:

160

Step-by-step explanation:

Givens

Let the smaller angle = x

Let the larger angle = 8x

Equation

x + 8x = 180       Combine like terms

Solution

9x = 180             Divide by 9

9x/9 = 180/9

x = 20

Answer

The larger angle = 8 * 20 = 160    

Does this graph represent a function?

Answers

Yeas it does represent a function

The area of the rectangle below is 18 square units and the length is 3 3/4 .What is the width of the rectangle?

Answers

Answer:4.8

Step-by-step explanation:18/3.75=4.8

Please answer this thank you

Answers

Least to greatest: -3 < -2.5 < -3/4 < -3/8 < 1/4 < 8/5 < 3.1 < 6

Greatest to least: 6 > 3.1 > 8/5 > 1/4 > -3/8 > -3/4 > -2.5 > -3

Hoped this helped! :)

6
There are 20 sweets in a bag.
Seven of them are strawberry.
A sweet is taken at random from the bag.
What is the probability that the sweet taken is not strawberry?

Answers

7 of the sweets in the bag are strawberry. Since there are 20 sweets total in the bag, 20 - 7 = 13 sweets in the bag must be non-strawberry.

The probability that a sweet taken at random from the bag is not strawberry would thus be 13/20.

A submarine descends
300 meters in one hour.
What was it's average
change in depth per
minute?

Answers

Answer:

5 meters per minute

Step-by-step explanation:

300/60 = 5 meters per minute

find the area of each shaded sector. Round to the nearest hundredths place. Use 3.14 for pi​

Answers

Answer:

8.48cm²

Step-by-step explanation:

area of a sector = [tex]\frac{0\pi r^2\\\\}{360}[/tex]

where 0 = angle measure of sector

and r = radius

we are given the angle measure ( 23° ) and the radius ( 6.5 cm )

so all we have to do is plug in the values into the formula

(Note that the question asks us to use 3.14 for pi)

[tex]A=\frac{23*3.14* 6.5^2\\\\}{360}\\6.5^2 = 45.25\\23*3.14 =72.22\\72.22*45.25 = 3051.295\\\frac{3051.295}{360} =8.47581944[/tex]

so the area of the sector = 8.47581944 cm^2

finally we want to round to the nearest hundredth and we get that the answer is 8.48cm²

PLEASE HURRY: On Monday, Florencia's hair was h centimeters long. She got a haircut on Tuesday, so her hair was only 75% of
the length it was on Monday.
Which of the following expressions could represent how many centimeters long Florencia's hair was after the
haircut?
Chose 2 answers:

h(1 - 0.75)

(1 - 75/100)h

3/4h

0.75h

1/4h

Answers

Answer:

It seems that you are trying to find the length of hair of Florencia on Tuesday.

Given that length of the hair of Florencia on Monday = h centimeters

On Tuesday, she got hair cut.

So new length of the hair of Florencia on Tuesday = 75% of Monday value

= 75% of (h)

= 0.75* (h)

= 0.75h

Hence final answer is the length of the hair of Florencia on Tuesday is ( 0.75h ) centimeters.

Answer:

3/4h and 0.75h

Step-by-step explanation:

khan

find the value of x (image below)

Answers

Answer:

x=35

Step-by-step explanation:

Help me with these questions​

Answers

Answer:

A is the correct Answer

Step-by-step explanation:

hope that helps

Answer:

igual es lo mismo

Step-by-step explanation:

hope that help

What is the answer :>

Answers

um.. it’s just a black picture. :>

find the area of the faded region. Round your answer to the nearest HUNDREDTH. Just put in the answer.​

Answers

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol

Step-by-step explanation:

Your scores on the first 4 tests in Algebra were 85, 80, 90, and 93. What do you need to make on the 5th test to have a 90 average in the class?

Answers

Answer:

you would have to get a 100 on your fifth test

Step-by-step explanation:

because between your first 4 tests, the average is only 87 something but when you add 100 to that, the average turns to 89.6 which when rounded becomes 90.

Please help! You will get 'Brainliest' if you do.

Answers

Answer:

10.5

Step-by-step explanation:

just divide 49 by 4 and 2/3 to get the rate of mpg

BRAINLIEST FOR CORRECT ANSWER!
What is the transformation rule for a translation 3 units right?

Answers

Answer:Translation happens when we move the image without changing anything in it. ...

Rotation is when we rotate the image by a certain degree. ...

Reflection is when we flip the image along a line (the mirror line). ...

Dilation is when the size of an image is increased or decreased without changing its shape.

hiii please help i’ll give brainliest:)

Answers

I’m pretty sure it’s A, because after the war the Greeks won and only about 192 people died. But is there a passage with this?

Find the volume of the cylinder. Round your answer to the nearest hundredth.

Answers

9514 1404 393

Answer:

  1763.01 m³

Step-by-step explanation:

The height of the cylinder will be ...

  h = (18 m)sin(60°) = 9√3 m

The volume of the cylinder is ...

  V = Bh

where B is the area of the end circle.

  B = πr² = π(6 m)² = 36π m²

Then ...

  V = (36π m²)(9√3 m) ≈ 1763.01 m³

The volume of the cylinder is about 1763.01 m³.

A store sells cans of tomatoes priced as shown.


Canned Tomatoes
Size Cost
10 ounces $0.89
15 ounces $1.29
18 ounces $2.26
32 ounces $3.39


Which size can of tomatoes has the lowest cost per ounce?

Answers

Answer:

I think the answer is b

Step-by-step explanation:

1.29/15= 0.086 this is the lowest cost out of all them

Answer: yea person on top of me is  right b 15 ounce

Step-by-step explanation:

I suck at math
The math problem is below

Answers

Answer:

Brooklyn earns four more dollars than Anna does each hour.

Step-by-step explanation:

So basically in order to get the amount ech of them recieve you would have to divide. So for Anna's since her least given number is 10 hours you would divide how much she earns (256) by how many hours she has been working (10) and you get 25.6

Now for Brooke she is given only one piece of evidence so you would use that she has been working for 26 hours and earns 769.6. So divide her earning by the hour and get 29.6

Subtract each of the answers (29.6-25.6) and you would get 4

Sorry if it doesn't make sense I was trynna rush and give you the answer

Answer:

Brooklyn earns four more dollars than Anna does each hour.

Step-by-step explanation:

Given DE || BC, find the length of BD.

Answers

Answer:

BD = 12.5

Step-by-step explanation:

Full answer in the attachment!!

help me please!!! no links 10 points

Answers

in persectev i think the answer in bound to be 17/10

Answer:

x=3 y=13

Step-by-step explanation:

now you got x... substitute x value with one of the questions then you get y

-3×3+2y=17

-9+2y=17

2y=17+9

y=26/2

y=13

i hope it's clear this is how elimination method works... this is how i learned.... t☺️❤️

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