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

Add (5x3+7x−8)+(2x3−5x2−x+3).

Answers

Use one of the algebra calculators

A triangle with no sides congruent and all angles less than 90° is called a __________ triangle.
equiangular equilateral
acute right
acute scalene
acute isosceles

Answers

Answer:

acute scalene

Step-by-step explanation:

Hope it helps you in your learning process.

The triangle with no sides congruent and all angles less than 90° is called an acute scalene triangle option (C) is correct.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have a statement:

A triangle with no sides congruent and all angles less than 90° is called a __________ triangle.

As we know, an acute scalene triangle is a triangle with no congruent sides and all angles smaller than 90 degrees.

Also,

A scalene triangle is one in which each side has a different measure.An isosceles triangle is one in which all sides are equal.An equilateral triangle is one in which all of its sides are equal.

Thus, the triangle with no sides congruent and all angles less than 90° is called an acute scalene triangle option (C) is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ2

Find the slope between two points:
(-2, 0) and (-9, 8)

Answers

Answer:

y = -1.14286x - 2.28571 (slope of the line is -1.14286)

Step-by-step explanation:

1/8 of a cup of cinnamon was sprinkle evenly over some pieces of toast. if 1/32 of a cup was sprinkled on each piece, how many pieces were sprinklered?

A) 4

B) 6

C) 7

D) 8

Answers

C because C is the right answer

Answer:

the answer is 4

Step-by-step explanation:

i took the test =p

What are the coordinates of the midpoint of this
segment?
Type them into the table below

Answers

2+8/2, 2+2/2= (5,2)

ANSWER: (5,2)

Salma made 378 for 18 hours of work. At the same rate, how much would she make for 5 hours of work?

Please help me answer this question!

Answers

She would make $105 all you do is divide 378 by 18 and then multiply that answer by 5 good luck!

A population of 6000 bacteria is growing at a rate of 6% each day. Write 2 an equation that expresses the number of bacteria at time x.

A. y = 6000(.06)×
B. y = 6000(1.06)×
C. y = 6000(.94)×​

Answers

Answer: B. y = 6000(1.06)×

Step-by-step explanation: If it is growing at six percent (0.06) each day then you must also account for the amount that is already there (1).

5
Which of those points does not lie on the line y = 3x + 5*
(1 Point)
O (1,8)
O (4, 17)
O (-2, 11)
0 (0,5)

Answers

Answer:

 point (-2,11)  does not lie on the given line

Step-by-step explanation:

To find : Which of the following points does not lie on the line ?

Solution :

To determine the point lie on line or not we have to put points in equation if it satisfy then it lie otherwise not.

a) Point (1,8)

Line  y=3x+5

Substitute x=1 and y=8

8=3(1)+5

8=8

(1,8) point lie on the line.

b) Point (4,12)

Line y=3x+5

Substitute x=4 and y=17,

17=3(4)+5

17=12+5

17=17

(4,17) point does not lie on the line.

c) point (-2,11)

Line y=3x+5

substitute x=-2 and y=11

11=3(-2)+5

11=-6+5

11 is not equal to -1

d) Point(0.5)

Line y=3x+5

Substitute x=0 and y=5

5=3(0)+5

5=5

I'm not exactly sure what this question is asking? This is all information that is given. I don't really need an answer and I could just figure out the rest from there-

Answers

Answer:

i think it wants you to find how mnay cubits the pyramid is- but like how are you supposed to do that with the info given hdjbfsd sorry shawty i would ask a teacher on this one :(

Step-by-step explanation:

(7) hi I'm new can I get some help I really don't know what to do!

Answers

Answer:

60

Step-by-step explanation:

ez

Answer:

60

Step-by-step explanation:

to find the area of a trapezoid you do (a+b)/2 x h

so to find the area of yours you do (18+6)/2 x h

18 + 6 = 24

24 divided by 2 = 12

12 x 5 = 60

Find x, the missing side length in the right triangle 18 8

Answers

Answer:

19.7

Step-by-step explanation:

a^2+b^2=c^2

so 18^2+8^2=x^2

324+64=388

x is about 19.7

A^2 + B^2 = C^2
18^2 + 8^2 = 388
C = 20

Drag each scenario to the correct location on the table. Classify the scenarios based on whether they are observational studies, experiments, or surveys. Scenario A: Twenty employees of a company are randomly selected and asked if they would like the company to revise the existing dress code. Scenario B: Analysts at an energy research institute compare the frequency of power outages caused by snowfall in different states over the past decade. Scenario C: To determine and compare the accuracies of pedometer X and pedometer Y, researchers randomly ask consumers to use one of the two pedometers and then analyze the results. Scenario D: At a coffee shop, ten customers are randomly selected each day and asked how many times in a week they visit the shop.

Answers

Answer:

have a nice day loves <3

Step-by-step explanation:

picture below

Answer:

Step-by-step explanation:

Find the value of x needed to make the equation True. 3/4(20x-8)-3=54
A. x=3.8
B. x=4.2
C. x=4
D. x=3.3

Answers

Answer:

The answer is option B, x = 4.2

A store sells avocado for $2.80 per pound. What is the cost of a 2 1 pounds of avocado?
4

Answers

$58.80 you need to multiply 2.80 x 21 to get your answer

What is the volume of this pyramid?

Answers

Answer:

150 cm

Step-by-step explanation:

It's 150 cm because if you multiply L x W x H, you will get your answer. So it would be 6 x 5 x 5 = 150.

round 3.273 to the nearest tenth

Answers

answer should be 3.3

Please please please please please please help me a b c or d

Answers

Answer:

35 degree angle the line passes through the 30 and 40

Step-by-step explanation:

so c

Can someone please help me

Answers

Answer:

6n-5=43

   +5 +5

6n=48

/6    /6

n=8

Step-by-step explanation:

i hope this helps :)

Does anyone know the answer to this?!

Answers

Answer:

65°

Step-by-step explanation:

Properties of a triangle:

Triangles always have 3 sidesThe sum of the interior angles of a triangle must be equal to 180°.

To solve:

Since the angles inside of a triangle must always be equal to 180, use the following formula to solve:a + b + c = 180(The variables can be assigned to any value in this situation)Since two angles are already given, replace 2 variables:a + 85 + 30 = 180Solve the equation by subtracting on both sides:a = 65The value of a is the measure of the missing angle. The problem is solved.

Answer:

the missing angle is 65

Step-by-step explanation:

a whole triangle is 180

subtract the given angles from 180

  180

-   85

----------

   95

subtract the remaining angle

  95

-  30

---------

  65

~hope this helped :3~

According to the US Census, the percent of residents aged 65 or older in the 50
states and District of Columbia has mean 13.26% and standard deviation of
1.67%. Find and interpret the standardized scoreſfor the state of Colorado, which
had 9.7% of residents age 65 or older. *

Answers

Answer:

z = -2.13

Therefore, the standardized z score for the state of Colorado means the score is below the mean.

Step-by-step explanation:

The formula for z score is given as:

z = (x-μ)/σ,

where

x is the raw score = 9.7%

μ is the population mean = 13.26%

σ is the population standard deviation = 1.67%

z = z score or standardize score

Hence,

z = 9.7 - 13.26/1.67

z = -2.13174

Approximately z = -2.13

Therefore, the standardized z score for the state of Colorado means the score is below the mean

Is y=5x^3-7x+12 linear or non linear

Answers

Answer:

non-linear

Step-by-step explanation:

y=5x^3-7x+12 is nonlinear (it's cubic) because of the presence of the x^3.

Answer:

Hi! The answer to your question is Non Linear

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

A triangle has two sides of length 14 cm and 21 cm. Which of the following could represent the length of the third side of the triangle? Select all that apply. 5 cm 15 cm 25 cm O 35 cm 45 cm​

Answers

Answer:

im doing the quiz rn, and im pretty sure its only 5cm

Step-by-step explanation:

because 5 cm is the only one that is smaller than the combination 14 + 5<21

and thats technichly what you looking for cuz 14+ 15>21

HELP find the values of x (see image)

Answers

I don’t know I just have to answer this so I can search a question

Answer:

4) 10

5) 15

6) 20

7) 4

8) 27

equations used to solve:

4) 4x+50=90

5) (2x+60)+6x=180

6) 3x+30=90

7) (8x+120)+7x=180

8) 99+3x=180

Tansy has 4 different pieces of fruit in a bag . She pulls the pieces out one at a time. In how many different orders could tansy pull the fruit out of the bag

Answers

Answer:

24

Step-by-step explanation:

4!

! represents multiplying all the numbers behind

4*3*2*1=24

If Jeff is a manager at the local movie theatre, his annual salary is $46,000 and his company gives a 1.5% raise each year. What will be the total amount of money Jeff earns in 4 years assuming he gets the raise each year?

Answers

Answer:

59000

Step-by-step explanation: yep

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

Find the value of f(9)

Answers

Answer:

The answer is -2.

Step-by-step explanation:

Hope this helps dear ;)

Good luck ^^

Write the number in 2 equivalent forms as a fraction, decimal, or percent.
9/9
What is the equivalent decimal?

Answers

Answer:

fraction- 9/9=1

decimal- 1.0

percent- 100%

Step-by-step explanation:

Sides or angles with the same measure are congruent. True or false

Answers

Answer:

True

Step-by-step explanation:

True

Angles are congruent if they have the same angle measure in degrees. They can be at any orientation on the plane.

The area of the triangle below is 6.75 square meters. What is the length of the base?

Answers

Answer:

4.5

Step-by-step explanation:

I hope this helps, sry don't have enoug h time to explain

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