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

2 1/4 + 3 1/2 = ??? ​

Answers

Answer:

[tex]5\frac{3}{4}[/tex]

Step-by-step explanation:

You need to set bot denominators equal so multiply the second fraction by two for both the top and bottom.

[tex]2\frac{1}{4} +3\frac{1}{2} \\ =2\frac{1}{4} +3\frac{2}{4}\\\\ =5\frac{3}{4}[/tex]

What is the third angle of a right triangle if one of the angles measures 42.6

Answers

Answer:

112

Step-by-step explanation:

lol not 100% sure

Right angle = 90
Total angle for triangle = 180
To find the third angle
180-90-42.6 = 47.4

BRAINLISRST AND EXTRA POINTS I NEEDS I HELP

A study found that a car
depreciates 12% per year. If the
car was purchased for $15,000, how
much is it worth after 4 years?

Answers

Answer:

7800

Step-by-step explanation: :)

Mr. Weaver has 36 history students. The ratio of girls to boys is 2:1. How many girls does he have in his class?​

Answers

Answer:

24 girls

Step-by-step explanation:

24:12

2:1

In the figure below, lines m and n are Parallel:

In the diagram shown <7 measure 105 degrees. What is the measure of <8? They are supplementary

8 degrees
75 degrees
92 degrees
180 degrees

Answers

Answer:

75 degrees.

Step-by-step explanation:

m < 8 = 180 - m <7

= 180 - 105

= 75 degrees.

Hadi randomly pulls a sock from a drawer with 3 patterned socks, 6 gym socks, 7 striped socks, and 4 red socks. What is
the probabilty that Hadi does not choose a red sock?

Answers

Answer:

Stepp-by-step explanation:

Answer: 80% or 4/5

Step-by-step explanation:

You have a total of 20 socks, and there are 4 red ones, so there's a 16/20 = 8/10 = 4/5 or 80% chance that you will not pull out a red sock.

Hope this helps!

Need help ASAP please anyone

Answers

Answer:

Step-by-step explanation:

A recipe that serves 20 people uses ⅝ cup of water. How many cups of water are needed to serve 70 people?

Answers

Answer:

43.75 or simplified as 43 3/4 which is a mixed number

Step-by-step explanation:

How I did it is divide 5 and 8 and got 0.625 and I divided 70 by 0.625 and got 43.75 and I simplified it as a maxed number and got 43 3/4

Which equation can be used to find the value of x?
109=180
x+42=67
x=180-109
42+67-x=180

Answers

Answer:

C

Step-by-step explanation:

We know every triangle equals 180 so were just going to take 180 - 42 = 138 then were going to do 138 - 67 = 71  we can check our work by doing

42 + 67+ 71 = 180. We also know 67 + 42 = 109.

Lets look at our answers;

A. 109 = 180 + x  When solved it gave me; x = -71. We got a positive 71 so this is incorrect.

B. x + 42 = 67   When solved it gave me;  x = 25, which is incorrect.

C. x = 180 - 109 When solved it gave me; x = 71

D. 42 + 67 - x = 180 When solved it gave me; x =  - 71

Therefore the answer is C.

What is the reciprocal of 1/x^3

Answers

Answer:

x^3

Step-by-step explanation:

reciprocal is 1/(given value)

1/(1/x^3)

=x^3

A triangle with side lengths of 21, 17, and 18 is classified as acute, obtuse, right, or equiangular?

Answers

Answer:

Acute

Step-by-step explanation:

and angle lower than 90 is acute exactly 90 is an right angle from 90 to 180 obtuse 180 to 360 reflex angle and equalateral is 60 degrees on each angle

What number makes the equation true? 27 +_ = 46 ​

Answers

27 + x = 46

x = 46 - 27

x = 19 Ans .

Answer:

19

Step-by-step explanation:

Subtract- 46-26=19

Therefore, 27+19=46

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?

On her 21st birthday, Sydney deposited $400 in a new bank account that earns 3.7% interest compounded continuously. If there are no other deposits or withdrawals, how much interest will she have earned by her 60th birthday

Answers

Answer:

$1,649.80

Step-by-step explanation:

Sydney will have earned $1293.35 in interest by her 60th birthday.

How to find interest?

To solve this problem, we need to use the formula for continuously compounded interest:

A = P [tex]e^{rt}[/tex]

Where:

A is the final amount of money in the account (including principal and interest)

P is the initial principal (in this case, $400)

r is the interest rate (in this case, 3.7% per year)

t is the number of years the money is invested (in this case, 39 years)

e is the mathematical constant approximately equal to 2.718

Plugging in the values from the problem, we get:

A = $400[tex]e^{0.037 \times 39}[/tex]

Calculating this, we find that A = $400[tex]e^{1.443}[/tex] = $1693.35

Therefore, he will have earned $1693.35 - $400 = $1293.35 in interest by her 60th birthday.

To learn more about Compound interest click here:

brainly.com/question/25857212

#SPJ2

.........................

Answers

Answer:

girl- frost on window and... thats not math but kk

Step-by-step explanation:

dew on grass because condensation is water vapor

During a school assembly, 15 out of 60 students wore orange shirts to show school spirit. what percent of the students did NOT wear orange shirts?

Answers

Answer: 75%

15/60 wore orange shirts

45/60 didn’t

45/60 = 0.75 = 75%

PLEASE HELP ASAP!!!!!!!! 2+2

Answers

Answer:

4

Step-by-step explanation:

it's four imma just goo

The answer is 4!!!!!!

Maya has 200 songs on her cell phone. Of these songs, 48 are jazz songs. What percent of Maya's songs are jazz songs? Enter the correct answer in the box.

Answers

Answer:

24%

Step-by-step explanation:

48/200= 0.24, which is equal to 24%.

ANSWER: 24%

here’s a way to calculate percentage:

48 x
—— = ——
200 100

we have to find “x” so cross multiply (we can only cross multiply 48 & 100 since you can’t multiply x & 200 because x isn’t a number.) So, 48*100= 4800. then divide by the number left over number (200.) So 4800/200= 24

Happy to help!

The ratio of men to women for a company is 5 to 6 if there are 162 women working for the company what is the total number of employees

Answers

Answer:

Step-by-step explanation:

Men:Women

5:6

5*27:162

135:162

Total employees=135+162=297

What’s 2 + 2?
A. 0
B. 1
C. 2
D. 4

Answers

Answer:

are u kidding me it's literally D --_--

Step-by-step explanation:

answer is D. 4 because when u add two to two it is 4



On the first day, you deposit $.01 in the bank. The second day you deposit $.02. The third day,
$.04. The fourth day, $.08. Continuing this pattern how much money will be in your account on
the 30th day?

Answers

$1.2

Step-by-step explanation:

Rewrite the expression by combining like terms. 4x2 - 2x2 + 2y + 6y2 - y + x2​

Answers

Answer:

32 +6y^2+

Step-by-step explanation:

I need help quick plsss??

Answers

Answer:

-4.515

Step-by-step explanation:

pls help help help help​

Answers

Answer:

14

Step-by-step explanation:

If x is -18, then we can change the equation to this:

17 + -18/6

14

What’s the answer ? Please help

Answers

Answer:

C.

Step-by-step explanation:

(9x² + 6x – 7) + (-9x – 5)

Answers

Answer:

-12

Step-by-step explanation:

An equation is shown below:

4(2x − 5) = 4

Part A: How many solutions does this equation have? (4 points)

Part B: What are the solutions to this equation? Show your work. (6 points)

Answers

Answer:

solution given:

4(2x − 5) = 4

2x-5=4/4

2x=1+5

x=6

Step-by-step explanation:

Part A:One

Part B:x=6

use the elimination method to sole the system of equations. choose the correct ordered pair.
-x + 5y = -4.
4x + 3y = 16.

Answers

(X,Y) = (4,0)


That’s what I got.

Answer:

(4,0)

Step-by-step explanation:

4(-x + 5y) = 4(-)

4x + 3y = 16

-4x + 20y = -16

4x + 3y = 16

23y = 0

23y/23 = 0/23

= 0

y = 0

then for x

we substitute the value gotten from y into the equation.

3/4•3/4???? I can’t do it in my head and I don’t know how to make a decimal into a fraction

Answers

Answer:

0.5625

Step-by-step explanation:

3/4 as a decimal is 0.75

0.75×0.75=0.5625

Answer:

0.75 x 0.75 = 0.5625

Step-by-step explanation:

3/4=.75

Enter the VOLUME in the box below ⬇️. (Please leave an explanation)

Answers

Answer:

V= 120 in cubed.

Step-by-step explanation:

the formula is L·H·W=Volume

the length is 10

height is 4

width is 3.

times all of those and the answer is 120.

Other Questions
please help ill literally give brainlest if you show on a piece of paper or help!no unnecessary commentsno linksill take back my points if any bad comments!thank you!!please help:( Baraks dough is too sticky. What is the likely cause of this problem?A. too much flour usedB. too much kneadingC. too much sugarD. flour was too weak There are 6 squares and 9 circles. What is the simplest ratio of squares tototal shapes? Timothy took 2/3 hr to paint a portrait. This was 1/3 hr shorter than the time he took to paint scenery. How long did he take to paint scenery? I need help ASAP Most people who went to war to crusade were common people/peasants (true or false?) Why is the rotation system used in volleyball? Physics was the closest thing to PE What major event did General DwightD. Eisenhower plan during World War II that made him a war hero?A. Operation Market Garden, the landing of troops inNorthern EuropeB. Dropping the atomic bomb on Hiroshima andNagasakiC. D-Day, the successful landing of allied forces intoFrance Q9 The number that happens the most: *A MeanB MedianC ModeD Range How can change over time account for the diversity of beetles? Which of tge following is NOT typically edentified as a cool color??A.redB.greenC.blueD.purple whats the measure of angle E ? Who gave ghanna a Military advantage over its neighbors to The radius of a circle measures 11cm. what is the circumference of the circle? Sean Wrona is the fastest typist in the world and can type an average of about 500 words in three minutes.What is Seans average typing speed in words per minute, WPM, to the nearest whole number? Given a 0.5 M stock solution of aqueous NaCl, how much of the stock solution would you need to make a 50 mL sample of 0.25 M aqueous NaCl solution? How much water would you need to add to the NaCl solution? please help 16 MATH PROBLEM The oxidation state for Cl is A. -1 as a reactant and +1 as a product B. -1 as a reactant and 0 as a product C. -1 as a reactant and -1 as a product D. +1 as a reactant and +1 as a product Will give Brainliest within five minutes of answer - Why do we want to explore Mars more than the other planets/moons even though it is not currently habitable (with its temperatures, atmosphere, etc.)? How can it be habitable? 2 Al + 3 Br2 --> 2 AlBr3If 15.0 grams of AlBr3 are produced, how many grams of aluminum are needed?Round your answer to two decimals. Please i need this asap How are repairs made on the locks in the Panama Canal?