Diana is comparing the membership costs at two fitness centers. The community fitness center costs $60 per month. The fitness center located where she works has a $100 registration fee and costs $40 per month. After how many months of membership will the costs be the same?

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Answers

Answer 1

Answer:

5 months

Step-by-step explanation:

Make the question into an equation where the cost of one gym equal to the cost for the other.

60x = 100 + 40x

x represents how many months

20x = 100

x = 5

It would take 5 months of membership for the costs to be the same.

Answer 2

The answer is 5 months.

How to make a linear equation?

The linear equation is made using the constraints given in the question, examining whether the data is added, subtracted, divided, or multiplied.

How to solve a linear equation?

To solve the linear equation we group the variable on the LHS and then equate it with the constant and this is done by transposing, or using an arithmetic operator on both sides.

The solution to the given problem

Let the number of months taken be 'x'

SO the community fitness takes 60x money for x months

The fitness center where she works takes an amount of 100+40x for x months as registration fees are only charged once.

so equating the equation to find the value of x.

100+40x = 60x

Transposing 40x from LHS to RHS

100=60x-40x

20x = 100

Dividing the equation by 20 on both sides

x = 5

The membership costs will equal in 5 months.

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Related Questions

Can someone help me with this?

Answers

Answer:

20 feet

Step-by-step explanation:

We can use scale factors to represent the lengths. Since the flagpole's base is 4 times the tree's height, we can also say that the flagpole's height is 4 times the tree's height. Since the tree's height is 5 feet, the flagpole's height is 4 x 5, which is 20.

The value of x varies directly with y, and when x= 2/3, y=6. Find the value of y when x = 10 1/3

Answers

See the image above for explanation.

All done!

Solved!

:-)

When x= ([tex]10\frac{1}{3}[/tex]) the value of y is 93.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

when x= 2/3, y=6.

Using constant proportionality

y = kx

k= y/x

k = 6 / (2/3)

k = 6 x 3/2

k = 9

Now, k= y/x

9 = y/ ([tex]10\frac{1}{3}[/tex])

9 = y / (31/ 3)

y = 9 x 31/3

y = 93

Hence, the value of y is 93.

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Tres aviones salen a la misma hora de un mismo aeropuerto, el primero sale cada 8 dias, el segundo cada 10 dias, y el tercero cada 20 dias. Si salen el 2 de enero, ¿cuales seran las fechas proximas en que volveran a salir juntos? ( el año es de 365 dias)

Answers

Responder:

Después de 40 días (11 de febrero)

Explicación paso a paso:

Dado que :

El avión 1 sale cada 8 días

El avión 2 sale cada 10 días

El avión 3 sale cada 20 días

Si todos se van el 2 de enero; La próxima fecha en que se irán juntos se puede obtener obteniendo el mínimo común múltiplo de los días de cada avión:

___8____10_____20

2 | _4____5______10

2 | _ 2____5______ 5

2 | _ 1 ____5______ 5

5 | _ 1 ____ 1 ______ 1

El mínimo común múltiplo es, por tanto;

2 * 2 * 2 * 5 = 40

Todos se irán juntos nuevamente después de 40 días:

(2 de enero + 40 días) = ​​11 de febrero

The domain of a function h(x) is x > 3, and the range is y2-2 What are the domain and range of its inverse function, h-'(x)?​

Answers

Answer:what’s the answer plz

Step-by-step explanation:

Katie bought a canvas and 8 tubes of paint for $24.95. If the canvas cost $6.95, how much did each tube of paint cost

Answers

Answer: $18

Step-by-step explanation:We just need to subtract $24.95 - $6.95 and we get the answer!

nxz - f = 3f
Solve for x

Answers

Answer:

x = 4f/nz

Step-by-step explanation:

nxz - f = 3f  solve for x

    nxz =  3f+f

Factor of nxz is x(nz)

  x(nz) = 3f+f

  x(nz) = 4f

MUltiply both side with 1/nz and you get

 x =  4f/nz

The expression xy3 has a positive value.

What must be true of the value of x if y is negative?

Answers

Answer:

x should be positive

Step-by-step explanation:

Which one of thses is a function cuz IONO!!!

Answers

The answer is D. because you cannot have the same number in your input section more than once

Sam and Sonya are solving problems. Sam solves 3 problems while Sonya solves 7 problems. In a week, they solved 180 problems! How many problems did Sam solve in a week?

Answers

Answer:

Sam solves 54. I hope this helps with your RSM.

Step-by-step explanation:

18x7=126

18x3= 54

126+54=180

3) x-intercept = -3, y-intercept = 1
Y=-3/1 x -3
Would that be how I set it up in the formula form?

Answers

Answer:

y = 1/3x+1

Step-by-step explanation:

Use the intercepts to find the slope

(-3,0) and (0,1)

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

Plug it into the equation

y= 1/3x + 1

Graphing points for y=|2x-1|
Pls help first person to answer get the Brainly points

Answers

Answer:

X-intercept= (1/2,0) Y-intercept= (0,1)

Step-by-step explanation:

You're welcome :)

1. If Ronnie paid $40 for 8 hamburgers, find the unit price of a hamburger.

Answers

Answer:

The burger is $5 each.

Step-by-step explanation:

8x = 40

x = 5

Answer:

the unit price would be $5

Step-by-step explanation:

40÷8=5

5×8=40

Use the graph to answer the following questions help please !!

Answers

Answer:

follow me,i'm geneous

Is this graph a function?

Answers

Answer:

Depends; it is a function of y because each y value maps out to only 1 x value, but it is not a function of x, because for x = 3 y maps out to infinite values.

For a continuous probablity distribution, 0 ≤ x ≤ 15. What is P(x > 15)

Answers

If the support of the distribution is 0 ≤ x ≤ 15, then P(x > 15) is always 0

does anybody know the answer lol excuse the rohan cursor :p

Answers

Answer:

you will get no solutions

Answer:

No Solution

Step-by-step explanation:

Solve the quadratic equation:
X? + 7x+10=0
x= -10, 7
X= 5, 2
x= -4,-1
X=-5, -2
help?

Answers

Answer:

           The last x=-5 or x=-2

Step-by-step explanation:

[tex]x^2+7x+10=0\qquad\implies\quad a=1\,,\ b=7\,,\ c=10\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-7\pm\sqrt{7^2-4(1)(10)}}{2(1)}=\dfrac{-7\pm\sqrt{49-40}}{2}=\dfrac{-7\pm\sqrt9}{2}\\\\ x_1=\dfrac{-7+3}2=\dfrac{-4}2=-2\,,\qquad x_1=\dfrac{-7-3}2=\dfrac{-10}2=-5[/tex]

A ball is thrown vertically upward with an initial velocity of 64 feet per second. The distance s​ (in feet) of the ball from the ground after t seconds is s=64t-16t^2 (a) At what time t will the ball strike the​ ground? ​(b) For what time t is the ball more than 48 feet above the​ ground?

Answers

Given:

The distance s​ (in feet) of the ball from the ground after t seconds is

[tex]s=64t-16t^2[/tex]

To find:

(a) At what time t will the ball strike the​ ground?

(b) For what time t is the ball more than 48 feet above the​ ground?

Solution:

(a)

We have,

[tex]s=64t-16t^2[/tex]

Substitute s=0, to find the time t when the ball strike the​ ground.

[tex]0=64t-16t^2[/tex]

[tex]0=16t(4-t)[/tex]

Using zero product property, we get

[tex]16t=0\Rightarrow t=0[/tex]

[tex]4-t=0\Rightarrow t=4[/tex]

Therefore, the ball strike the​ ground in initial condition (t = 0) and after 4 seconds (t = 4).

(b)

Now, s > 48, to find the time t when the ball will be more than 48 feet above the​ ground.

[tex]64t-16t^2\geq 48[/tex]

[tex]0> 16t^2-64t+48[/tex]

Divide both sides by 16.

[tex]0> t^2-4t+3[/tex]

[tex]0> t^2-t-3t+3[/tex]

[tex]0> t(t-1)-3(t-1)[/tex]

[tex]0>(t-1)(t-3)[/tex]

Related equation is [tex](t-1)(t-3)=0[/tex]. Zeroes are t=1,3. These two number divide the number line is three parts. (-∞,1),(1,3),(3,∞)

[tex]0>(t-1)(t-3)[/tex] inequality is true for only (1,3).

It is only possible when t lies in the interval (1,3).

Therefore, the ball will be more than 48 feet above the​ ground between 1 and 3 seconds.

anyone mind helping?

Answers

Answer:

87 degrees

Step-by-step explanation:

9x+6 + 7x-2 = 148

16x+4 = 148

16x = 144

x = 9

Plug into 9x+6

9(9)+6 = 87

SOMEONE HELP ME PLEASE ITS DUE IN 5 MINUTES

each day the school canteen meal can be one of only three things
The probability that it is pizza is 0.3
The probability that it is curry is 0.42
what is the probability of pasta?

Answers

Answer:

0.28

Step-by-step explanation:

Pizza is 30%, curry is 42%, so pasta has to be 28%.

is -0.25 repeating rational

Answers

no it is terminating rational

What should I type in, in the box

Answers

Answer:

No

Step-by-step explanation: No, because each input is not compared to exactly one output. The ordered pair that would need to be removed is (5,7) or (5,8). This works because it means that one of the inputs got taken away and can go to exactly one output.

If a football player passes a football from 4 feet off the ground with an initial velocity of 36 feet per second, how long will it take the football to hit the ground? Use the equation h = −16t^2 + 6t + 4. Round your answer to the nearest hundredth.

Answers

LolllzkLkLkzkzjzjzjzjzjjzjzhzhzjzhxhxhdudud

Can you guys help me find the value of x

Answers

Answer: x= 54

Step-by-step explanation:mathhhhh

simplify 1/3 over 1/4 pleaseeeeeee

Answers

Answer:

7/12

Step-by-step explanation:

Answer:

1/3 and 1/4 are already in their simpliest form.

Solve for p:
2p + 3 = 25

Answers

Answer:

p = 11

Step-by-step explanation:

What is the relationship between force, mass, and acceleration?

Answers

Step-by-step explanation:

Force = Mass × Acceleration

SI Unit of Force Is NewtonSI Unit of Mass Is Kilograms SI Unit of Acceleration Is Metre per second Square .

Hope it helps :)

Answer :

★ As per newton's second law of motion, force is measured as the product of mass and acceleration[tex].[/tex]

F = m × a

F denotes force

m denotes mass

a denotes acceleration

➤ Force is a polar vector quantity as it has point of application.

It has both magnitude as well as direction.

SI unit of force : N (newton)

Hope It Helps!

What is the unit price for an 8 ounce package costing 1.59

Answers

image ?....?.?.?..?.?..?.?.?.?..?.?...?.?.?.?..??...?.?.??..?.?.? Smh simpsimpjdjs

The figures are not drawn to scale.
35°
55°
Based on the information in the drawing, which statement
can be made about the figures?
O All sides are congruent.
O Corresponding angles are congruent.
The triangles are similar.
O Corresponding sides are proportional.

Answers

Answer:

Corresponding angles are congruent, corresponding sides are porportional, and the triangles are similar.

Step-by-step explanation:

Since angles on a triangle add up to 180 degrees, we can figure out that both triangles' angles are 55, 35, and 90. That means the triangles are similar, corresponding sides are porportional, and also means the corresponding angles are congruent. The 4th one cannot be guaranteed, as the triangles could be of different sizes.

Your older brother drove to your grandparents’ house in a different car but left from the same location at the same time. If he traveled at a constant speed of 60 miles per hour, explain why he would reach your grandparents’ house first. Use words, diagrams, or numbers to explain your
Please answer I will mark brainlist

Answers

75m/60=1.25

1.25=1 1/4 hours

So the answer Is 1 1/4 hours.

hope this helps

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