Hometown Gym charges a $200 membership fee and $45 per month. Local Gym charges a $50 membership fee and $55 per month. Write an equation to represent the situation. After how many months will the total amount of money paid to both gyms be the same?

Answers

Answer 1

Answer:

=> membership fee = $50

=> monthly fee = $55

=> First month = 105$

=> 50 + 55(x)

=> 50 + 55 (15)

=> 50 + 825

=> 875

Workout gym

=> membership fee = $200

=> monthly fee = $45

=> First month = 245$

=> 200 + 45(x)

=> 200 + 45(15)

=> 200 + 675

=> 875


Related Questions

Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0=2x^2+3x-8? 1.99 2.00

Answers

Answer:

1.39

Step-by-step explanation:

Given the quadratic equation :

2x^2+3x-8 = 0

We could apply the quadratic equation formula :

a = 2 ; b = 3, c = - 8

The formula is stated as :

-b±sqrt(b² - 4ac)/2a

To save computation tune, we could use a calculator :

The roots are : - 2.886 ; 1.386

The positive solution rounded to the nearest hundredth is : 1.39

Which equation can be used to solve for c? Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 35 degrees. The length of C B is 5 inches, the length of A C is b, and the length of B A is c.

Answers

Answer:

c = 5/Cos 35

Step-by-step explanation:

We are given the following

m<ACB = 90degrees

m<ABC = 35degrees

The side opposite to m<ABC is AC

BA = hypotenuse

CB = adjacent = 5inches

Required

Equation to solve BA which is c

Using the Pythagoras theorem;

Cos theta = Adjacent/Hypotenuse

Cos m<ABC = CB/BA

Cos m<ABC = 5/c

c = 5/cosm<ABC

c = 5/Cos 35

Hence the equation that can be used to solve for c is c = 5/Cos 35

What is the GCF of the numerator & denominator below?

(x-2)(x+3)/x^2+4x+3

Answers

Answer:

Step-by-step explanation:

Factorize the denominator

Sum = 4

Product = 3

Factors = 1 , 3    {1*3 = 3 and  1+3 = 4}

x² + 4x + 3 = x² + x    + 3x + 1*3

                 = x(x + 1) + 3(x + 1)

                 = (x + 1)(x + 3)

GCF of the numerator and denominator = (x + 3)

I think it’s 14? Is that right or no?

Answers

Answer:

Im pretty sure its 11 because if you look at 145 mark its at between 10 and 12, Hopefully that helps!

Step-by-step explanation:

Simplify the following expression.

Answers

Answer:

1/64

Step-by-step explanation:

Simplify the following:

1/(4^(11/3)×4^(-2/3))

Hint: | Simplify radicals.

1/4^(2/3) = 1/(4^2)^(1/3) = 1/(2^4)^(1/3) = (1/2^(1/3))/2:

1/(4^(11/3)×(1/2^(1/3))/2)

Hint: | Multiply numerator and denominator of 1/(2 2^(1/3)) by 2^(2/3).

Rationalize the denominator. 1/(2 2^(1/3)) = 1/(2 2^(1/3))×(2^(2/3))/(2^(2/3)) = (2^(2/3))/(2×2):

1/(4^(11/3)×(2^(2/3))/(2×2))

Hint: | Multiply 2 and 2 together.

2×2 = 4:

1/(4^(11/3)×(2^(2/3))/4)

Hint: | Separate the exponent of 4^(-11/3) into integer and fractional parts.

4^(-11/3) = 4^(1/3 - 12/3) = 4^(-12/3)×4^(1/3):

(4^(-12/3) 4^(1/3))/((2^(2/3))/4)

Hint: | Divide 12 by 3.

12/3 = (3 (-4))/3 = 4:

(4^(-4) 4^(1/3))/((2^(2/3))/4)

Hint: | Compute 4^4 by repeated squaring.

4^4 = (4^2)^2:

(4^(1/3))/((2^(2/3))/4) 1/(4^2)^2

Hint: | Evaluate 4^2.

4^2 = 16:

(4^(1/3))/(16^2×(2^(2/3))/4)

Hint: | Evaluate 16^2.

| 1 | 6

× | 1 | 6

| 9 | 6

1 | 6 | 0

2 | 5 | 6:

(4^(1/3))/(256×(2^(2/3))/4)

Hint: | Simplify radicals.

4^(1/3) = (2^2)^(1/3):

1/(256×(2^(2/3))/4) 2^(2/3)

Hint: | Write (2^(2/3))/(256×(2^(2/3))/4) as a single fraction.

Multiply the numerator by the reciprocal of the denominator, (2^(2/3))/(256×(2^(2/3))/4) = (2^(2/3))/256×4/2^(2/3):

(2^(2/3)×4)/(256×2^(2/3))

Hint: | Cancel common terms in the numerator and denominator of (2^(2/3)×4)/(256×2^(2/3)).

(2^(2/3)×4)/(256×2^(2/3)) = (2^(2/3))/(2^(2/3))×4/256 = 4/256:

4/256

Hint: | Reduce 4/256 to lowest terms. Start by finding the GCD of 4 and 256.

The gcd of 4 and 256 is 4, so 4/256 = (4×1)/(4×64) = 4/4×1/64 = 1/64:

Answer: 1/64

James is running late to his cousin's wedding and drives the 45 miles between his house and the wedding location 20 miles per hour faster than the speed, r, that he drives to get home. It takes him t hours to get to the wedding and 1 hour to get home. Which equation best represents this information? A.) 45=20t B.)r+20=32 C.)45=(r+20)t+r D.)(r+20)t=r

Answers

Answer:

(r + 20)t = r

Step-by-step explanation:

Distance is constant in the scenario above, distance from home to wedding and wedding back home is the same.

From wedding back home. :

Recall : Distance = speed * time

Distance = r * 1 hour

From home to wedding :

Speed = 20 mph more ; r + 20

Time = t

Distance = (r + 20)* t = (r +20)t

Since the distance are the same, we can equate both :

(r + 20)t = r * 1

= (r + 20)t = r

11. Bethany is paid 4% commission on
carpet sales. She sold $850 worth of
carpet to a family today. What was
her commission?

Answers

$34. You take $850 multiply it by the percent as a decimal, so 850*.04=$34 :)
34$ is four percent of 850

Two families go to a baseball game. One family purchases two adult tickets and
three youth tickets for $33. Another family purchases three adult tickets and two
youth tickets for $37. Find the individual price of each adult and youth ticket.

Answers

Youth tickets are 11$ each and adult tickets are $5 hope this helps

In ΔBCD, the measure of ∠D=90°, the measure of ∠B=22°, and DB = 44 feet. Find the length of BC to the nearest tenth of a foot.

Answers

Answer:47.5

Step-by-step explanation:

Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2 -5 -8
b) -7 -12 -17 -22 -27​

Answers

Step-by-step explanation:

This the answer in the photo

According to the line plot, what is the total distance run for all of the runners combined?

Answers

Answer:

Add all of them together. 1/5 + 2/4 + 4/3 + 3/2 = 53/15 miles

Step-by-step explanation:

1/5 + 2(1/4) + 4(1/3) + 3(1/2)

how many parts 1/6s does it take to name the same amount as 1/3

Answers

Answer:

Two 1/6 pieces

Step-by-step explanation:

Two 1/6 pieces equals 1/3 of the apple

You need two 1/6s to get the same amount as 1/3.

So that will be 1/6 + 1/6 = 2/6
And 2/6 simplified is 1/3.

I need the answer in under 34 min

Answers

Answer:

I. 1 cup is $4.50

2 cups is $9.00

3 cups is $13.50

ll. 6 cups is $27.00

Step-by-step explanation:

Now since the number of cups is proportional to the total cost of frozen yoghurt,and the cost of 4 yoghurts cups where given .ie. $18.00

then 1 cup is $18/4 which is $4.50 per one cup, thus the other cost of cups are given.

therefore 6 cups is 6•18/4 which is $27.00.

hence 5 cups is 5•18/4 which is $22.50.

4a-2b=10 what is the value of 2b-4a?

Answers

Answer:

-10

Step-by-step explanation:

4a-2b=10

-1(4a-2b)=-1*10

-4a+2b= - 10

2b - 4a = - 10

Hiiiooo can someone please help me ❤️❤️:D

Answers

Answer:

10

Step-by-step explanation:

because it shows where the line is

10 have a good day hope it's helped

Drag fruit to represent each total weight shown.

Answers

5 grapes in the first box
3 strawberries in the second box
2 tomatoes (or whatever that is) in the third box

5/8 lb of fruit = 1/8+1/8+1/8+1/8+1/8=5/8
3/6 lb of fruit = 1/6+1/6+1/6=3/6
2/3 lb of fruit = 1/3+1/3=2/3
I do not know the answer

Write and solve a proportion to answer the question.

75% of 124 is what number a
?














Write and solve a proportion to answer the question.

72 is what percent of 45?

Answers

75 percent *124 =

(75:100)*124 =

(75*124):100 =

9300:100 = 93



72÷45×100
= 160

2. Suppose y varies directly as x and y=-8 when x=-2. Find x when y=32.

Answers

Answer:

x = 8

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in the given values of x and y, and solve for k:

y = kx

-8 = k(-2)

4 = k

So, the equation is y = 4x

Using this, plug in 32 as y, and solve for x:

y = 4x

32 = 4x

8 = x

So, x = 8 when y = 32

What is the value of 3^2+4(2+4)x6 divided by 8+4

Answers

Answer:

its 31

Step-by-step explanation:

I need help on this plz thanks

Answers

Answer:

its a black screen

Step-by-step explanation:

Find the volume of a rectangular prism with a length of 6 cm, width of 2 cm and height of 5 cm. What is the volume of the prism

Answers

Answer:

60 cm^3

Step-by-step explanation:

WILL GIVE BRAINLIEST!
Given that ℓ1 ∥ ℓ2 and y = 36°, find x.
x =

Answers

Answer:

x = 48

Step-by-step explanation:

From the given diagram, the sum of the angles given is equal to 180 degrees as shown;

x+y+2x = 80

Since y = 36

x +36+2x = 180

3x = 180 - 36

3x = 144

x = 144/3

x = 48

Hence the value of x is 48

asap 50 points!
-3xy = what when x=5 and y= -6
answers :
-90
90
-33
33​

Answers

Answer:

I think its 33

Step-by-step explanation:

i may be wrong

Answer:

choice 2) 90

Step-by-step explanation:

-3xy = ?

x=5 and y= -6

-3(5)(-6) = 90

Is negative 40 greater than 12

Answers

Answer:

No, 12 is greater than -40

Step-by-step explanation:

Answer: I think your question is: Is negative forty greater than positive 12. It is not greater. Even if it was negative 40 and negative 12 it still would not be greater. Hope this helps :)

Step-by-step explanation:

is -3 rational number​

Answers

Answer:

Step-by-step explanation:

Rational numbers are numbers that can be expressed as a fraction or ratio of two integers. Rational numbers are denoted  Q

.

Since  −3  can be written as  −3/1

, it could be argued that  −3  is also a real number.

Answer:

yes

Step-by-step explanation:

Any rational number can be expressed in the form

[tex]\frac{a}{b}[/tex] ← a and b are integers , then

- 3 = [tex]\frac{-3}{1}[/tex] ← in rational form

Thus - 3 is a rational number

Andrew cut 24 feet of chain into pieces that were each 1/3ft long. How many of these pieces did Andrew have after cutting the chain?

Answers

Answer:

72

Step-by-step explanation:

1/3 ft is 4 inches

24 feet is 288 inches

take 288 and divide it by 4

you get 72, which is the number of pieces of chain Andrew has

Order the sides or angles of each triangle from least to greatest.

Answers

Answer:

SU , UT , ST

Step-by-step explanation:

Multiply: 7,277x6
Please hurry!

Answers

43662 dude. .........ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

please help me with my math​

Answers

Answer:

SA = 480 cm²

Step-by-step explanation:

Surface area of the composite figure given in the picture = (Surface Area of the triangular prism on the top - area of the rectangular base) + (Surface area of the rectangular prism - Area of the rectangular base)

Surface area of the triangular prism = Area of the triangular bases + (perimeter of the base × Height)

= [tex]2(\frac{1}{2}\times 3\times 8)[/tex] + [(5 + 5 + 8)×12]

= 24 + 216

= 240 cm²

Area of the rectangular surface of the prism = 8 × 12 = 96 cm²

Surface area of the rectangular prism = 2(lb + bh + hl)

Here, l = Length, b = width and h = Height of the rectangular prism

                                                  = 2(8 × 12 + 12 × 6 + 6 ×8)

                                                  = 432 cm²

Surface area of the composite figure = (240 - 96) + (432 - 96)

                                                                = 144 + 336

                                                                = 480 cm²

what is -1 3/10 + -3.8

Answers

Answer:

answer

Step-by-step explanation:

=convert 3.8 into mixed number

=3 4/5

=1 3/10+3 4/5

=5.1 in mixed fraction

=5 1/10

if i got it wrong i am seriously sorry!

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