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

can someone please answer these 2

Answers

Answer:

the second one is C

Step-by-step explanation:

Solve the absolute value equation. |2x-31| = 17​

Answers

Answer:

x = 24                            x = 7

Step-by-step explanation:

|2x-31| = 17​

Absolute value equations have 2 solutions, one positive and one negative

2x-31 = 17   and 2x-31 = -17

Add 31 to each side

2x-31+31 = 17+31   and 2x-31+31 = -17+31

2x = 48                          2x = 14

Divide by 2

2x/2 = 48/2                 2x/2 = 14/2

x = 24                            x = 7

Answer:

24

To find:

x

Step-by-step explanation:

2x-31 = 17

2x=17+31

2x=48

x=48/2

x=24​

hope it helps you!

Roses are sold for 1.50 each or 4 for $6.00 on a graph of roses vs the total price of the roses what would be the slope

Answers

Answer:

no

Step-by-step explanation:

unu

Step-by-step explanation:

do you have the answer now I need it please

Help me please I need to answer this

Answers

M= 3x and b=2 that’s the answer

What is the value of b in this diagram?
A. 12
B. 10.2
C. 9
D. 8​

Answers

Answer:

It is NOT c

Step-by-step explanation:

I clicked c and it was wrong lol.

Answer:

its D

Hope this helps ⊂◉‿◉つ

Can someone please Help me. ( picture included)

Answers

Answer:

The height of the flagpole is 20 feet.

PLEASE HELP ILL UP THE POINTS AND VOTE BRAINLIEST What is the equation of a line that has an undefined slope and passes through point (3,2)?

Answers

Answer:

x=3

Step-by-step explanation:

A line with an undefined slope is a vertical line where for each and every value of  y ;  x  has the same value.

In this problem the  x  value is  3

Therefore the equation for the line is:  

x = 3

Which expression is equivalent to 5 (h + 9)?

Answers

Answer:

5(m+9) = 5m+25

Answer:

5(m+9) = 5m+25

Step-by-step explanation:

durrrrrrrrrrrrrrr

What operation is happening in an additive pattern??

Multiplication
Subtraction
Addition
Division ​

Answers

Addition



Reason: because

Tylond puts $5,000 into a savings account that earns 4%
simple interest. How much interest does he earn after 3
years?

Answers

Answer:

125,000

Step-by-step explanation:

who ever answers i will give brainliest :>​

Answers

Answer: a) 4 b) -3 c) 2

Step-by-step explanation:

a) m = (6 - 2)/(1 - 0) = 4

b) (0, 3), (1, 0)

m = (0 - 3)/(1 - 0) = -3

c) (1, 3), (2, 5)

m = (5 - 3)/(2 - 1) = 2

14. Using 1 inch = 15 feet as the scale factor, what are the blueprint dimensions of a room in a model house that is actually 30 feet x 45 feet?

O2 in x 3 in.
O 3 in 2 in
O2 in x 2 in
O 3 in x 2 in​

Answers

2 in x 3 in; you divide 30 and 45 by 15 and get 2 and 3.

*Eight is added to three times a number 'x' gives 15".​

Answers

Answer:

x+8 =15

x=15-8

x=7 .

this is the answer

Answer:

3x + 8 = 15

(If you wanted to solve it then:) x = 7/3

Step-by-step explanation:

Let's convert that into an equation.

Let "x" be the number.

3x + 8 = 15

If the question was to answer it, look below:

3x + 8 = 15

3x = 7

x = 7/3

Hope this helped! If not, please let me know! <3

Which statement is TRUE? A) The area of the blue circle is greater than the sum of the areas of the green square and black circle. B) The area of the blue circle is less than the sum of the areas of the green square and black circle. C) The area of the blue circle is equal to the sum of the areas of the green square and black circle. D) The area of the blue circle is twice the sum of the areas of the green square and black circle.

Answers

Answer:

C. The area of the blue circle is equal to the sum of areas of green square and black circle.

Step-by-step explanation:

The area of a circle is the circumference of the circle measured with its diameter. In the given scenario the area of the blue circle is greater than the area of black circle. This is because of the difference in diameter of the two circles. The area of green square plus the area of black circle equals the blue circle.


Please can anyone help me

Find the missing coordinate if the ordered pair is to be a solution to the given equation.
(-3, ?) for the equation 4x + y = 5

Answers

Answer:

17 (I think)

Step-by-step explanation:

substitue -3 in for x so 4(-3) + y = 5

-12+ y =5

+12        +12

y=17

if the weight of an object is 900 newton what is its mass. plz tell answer fast I will mark you as the brainlest.​

Answers

Answer:

≈ 92 kg

Step-by-step explanation:

Hi there !

w = m×g => m = w/g

g = 9.8m/s² = 9.8m·s⁻²

w = 900N = 900kg⋅m⋅s⁻²

m = 900kg⋅m⋅s⁻²/9.8m·

= 91.83 kg

≈ 92 kg

Good luck !

Help me solve this problem please

Answers

Answer:

-8

Step-by-step explanation:

[tex] \frac{8 - 2x}{12} = 2[/tex]

[tex]8 - 2x = 24[/tex]

[tex] - 2x = 16[/tex]

[tex]x = - 8[/tex]

8- 2x/12 = 2

Multiply both sides by 12:

8 - 2x = 24

Subtract 8 from both sides:

-2x = 16

Divide both sides by -2:

X = -8

A model of a rectangular patio and is a landscaping business will be enlarged by a scale factor of 2 when is installed in the customers backyard. The area of the new and larger I know they want to see square feet which is the area of the landscapers model

Answers

Answer:

The answer is "40 square feet".

Step-by-step explanation:

The formula of the area:

[tex]\bold{A = (2L \times 2W)}\\\\[/tex]

    [tex]= 4LW \\\\[/tex]

if:

[tex]\to 4A = 160 \\\\[/tex]

         [tex]= \frac{160}{4} \\\\ = 40 \ \ sq \ ft[/tex]

What is the domain for a continuous function

Answers

Answer: the third one

Step-by-step explanation: C

C. All real Values of x except x=_3
Hope this helps :)

(1,9)
Write the interval as an inequality.

Answers

Answer:

1<x<9

Step-by-step explanation:

The parenthesis means that the inequality symbols are simply less than rather than less than or equal to. From there on, you just plug in the values on either side of x and you have your inequality.

Mrs moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag. Which expressions represent the total number of pencils Mr Moretti gives to his students? CHOOSE ALL THAT APPLY: a.) m+2m b.) 18(m+2m) c.) 18+m+2m d.) 18m+18(2m) e.) 54m f.) 18+3m

Answers

Answer:

b.) 18(m+2m)

d.) 18m+18(2m)

e.) 54m

Step-by-step explanation:

Given;

total number of Mr Moretti's students = 18

number of mechanical pencils for each student = m

total number of mechanical pencils for all the students = 18m

number of regular pencils for each student = 2m

total number of regular pencils for all the students = 18(2m)

The total number of pencils given to all the 18 students by  Mr Moretti is given by;

T = Total mechanical pencils + total regular pencil

T = 18m + 18(2m)

T = 18(m + 2m)

T = 18(3m)

T = 54m

Therefore, based on the expressions above, the correct options include;

b.) 18(m+2m)

d.) 18m+18(2m)

e.) 54m

Answer:

18(m+2m)

 18m+18(2m)

54m

Step-by-step explanation:

I took the quiz.

A girl’s club held a fundraiser last year and raised $600 for the local soup kitchen. This year they raised $960. What is the percent change in the total amount raised by the girl’s club?
The percent change is 0.38%.
The percent change is 0.6%.
The percent change is 38%.
The percent change is 60%.

Answers

Answer: option D

Step-by-step explanation:

Answer:

D.) The percent change is 60%

Step-by-step explanation:

I know this because 960-600= 360

360÷600= .6

.6= .60

.60= 60%

Hope this helped!!! :)

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic centimeters (cc) when the pressure is 300 millimeters of mercury (mm hg) , find the volume when the pressure is 400 mm hg

Answers

Answer:

V₂ = 450 cm³

Step-by-step explanation:

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P.

[tex]V\propto \dfrac{1}{P}[/tex]

If V₁ = 600 cm³, P₁ = 300 mm hg, P₂ = 400 mm hg

We need to find a new volume. Using the above concept,

[tex]V_1P_1=V_2P_2\\\\V_2=\dfrac{V_1P_1}{P_2}\\\\V_2=\dfrac{600\times 300}{400}\\\\V_2=450\ cm^3[/tex]

So, when the pressure is 400 mm hg, its volume is 450 cubic centimeters

Help plz if someone could answer this problems soon as possible that would be great. It is a geometrical proof Given: angle 1 and angle 2 are complementary angle 1 is congruent to angle 3 and angle 2 is congruent to angle 4 prove: angle 2 and 3 are complementary

Answers

Answer:

<2 + <3 = [tex]90^{o}[/tex]

Thus, angles 2 and 3 are complementary.

Step-by-step explanation:

Complementary angles are two or more angles that their sum equals [tex]90^{o}[/tex]. Given that: i.  <1 and <2 are complementary

                  ii. <1 ≅ <3

                  iii. <2 ≅ <4

Prove that: <2 and <3 are complementary

Proof:

<1 + <2 = [tex]90^{o}[/tex] (complementary angles)

<1 ≅ <3 (congruent property)

<2 ≅ <4 (congruent property)

⇒ <3 + <4 = [tex]90^{o}[/tex] (complementary angles by congruent property)

Since <1 ≅ <3,

∴ <2 + <3 = [tex]90^{o}[/tex]

Thus, angles 2 and 3 are complementary

The straight line 4x+5y-20 = 0 cuts the X-intercept, Y-intercept and hence find area of traingleAOB​

Answers

Answer:

The area of the triangle AOB is 10

Step-by-step explanation:

The line 4x+5y-20=0 forms a triangle AOB as shown in the figure below. The points A and B are the y-intercept and x-intercept respectively, and the point O is the origin.

To find the intercepts, we set the other variable to zero and solve the resulting equation.

Set x=0, the y-intercept is found as follows:

4(0)+5y-20=0

5y=20

y=20/5=4

The y-intercept is y=4

Set y=0, the x-intercept is now found:

4x+5(0)-20=0

4x=20

Solve:

x=20/4=5

The x-intercept is x=5

Now, knowing the base b and the height of the triangle h are 5 and 4 respectively, the area of the triangle is:

[tex]\displaystyle A=\frac{bh}{2}[/tex]

[tex]\displaystyle A=\frac{5\cdot 4}{2}=10[/tex]

The area of the triangle AOB is 10

Перечислите все целые числа, расположенные между числами –6,6 и –1,2.


Answers

Answer:

-6, -5, -4,-3,-2

Step-by-step explanation:

Целые числа - это просто целые числа, положительные или отрицательные. Целые числа - это числа без дробных частей. Целые числа от -6,6 до -1,2 следующие:

-6,-5,-4,-3,-2

Pictures, x
5
6 7
8
Profit, y
20
24
28
32
whats the fraction after being simplifyed?

Answers

Wat fraction post a pic of the problem

A bus makes a stop at 2:30, letting off 11 people and letting on 8. The bus makes another stop ten minutes later to let off 5 more people. How does the number of people on the bus after the second stop compare to the numbers of the people on the bus before the 2:30 stop ?

Answers

Answer:

The actual number of passengers on the bus falling by 8 after the second stop

Step-by-step explanation:

Assume that the total passengers on the bus before 2:30 was x

At 2:30:

11 passengers got off and 8 got on.

So, the number of passengers

= x - 11 + 8

= x - 3

10 minutes later:

5 passengers got off the bus

So, the number of passengers

number of passengers = (x - 3) - 5

number of passengers = x - 8

now by comparing,

The actual number of passengers on the bus falling by 8 after the second stop

Jack feeds his dog 34 cups of dog food every day. How many days will 6 cups of dog food feed Jack's dog?

Answers

Answer:

Dog food will be enough for 8 days

Brainliest pls

Step-by-step explanation:

please help me!! :)​

Answers

Answer:

1/2

Step-by-step explanation:

hope this helps :o

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