Workout plus offers a membership for $30 each month plus a $100 startup fee. Fit Works offers a membership for $50 each month plus a $20 startup fee. After how many months will memberships to both gyms cost the same amount?

Answer:

64.5

Step-by-step explanation:

You understand the question, and already have the numbers in order, you're almost there!

So you need to find the median first so you can divide the data set into the upper and lower halves. The median, as you probably know, is the center of the data. What I do for this is list all the numbers out in order, like you've already done, and start crossing them out, one at a time, alternating the sides. I'll show you what I mean. (I'm using underline because there's no strikethrough.)

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

...and so on, until you have:

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

Because there's an even number of numbers, the median is the mean of the middle two numbers. Luckily, though, the two numbers in the middle are the same:61. Mean is calculated by adding the terms and dividing by the number of terms. In this case:

(61+61)/2

=61

(You didn't really have to do this mean step, but I'll explain later.)The median is 61. Another way you could have done this is by just counting the number of terms (20) and finding the middle one. Again, since there's no middle one, you'd have to find the mean.

Since you're looking for the third quartile and not the median, you didn't exactly have to do that step. I just wanted to explain how to calculate the median, since you'll have to do it in the next step. All we had to do here was divide the data set into the halves, so we used that visual demonstration by underlining the numbers one at a time. We didn't have to find the mean, we could have split the set down the middle instead.

52, 54, 55, 55, 57, 58, 59, 59, 61, 61, | 61, 62, 63, 63, 64, 65, 65, 68, 70, 72

                                                             ^median/half-way point

We could have also divided the number of terms (20) by 2 (because halves, 2 parts) to get 10 and used the upper 10 values of the set, but I don't know, the crossing out method helps me. Anyway, now we have to look at just the upper 10 values:

61, 62, 63, 63, 64, 65, 65, 68, 70, 72

And you repeat the process! (I'm not going to show the underlining though lol)

There are 10 terms, so the median is between the 5th and the 6th. (10/2=5)

61, 62, 63, 63, 64, 65, 65, 68, 70, 72

This is what I was talking about, there are an even number of values in the upper half of the data set as well, so we have to find the mean of the middle 2: 64 and 65.

 (64+65)/2

=129/2

=64.5

That's your final answer. Hope I could help you!

Answer:

64.5

Step-by-step explanation:

i just answered and got it right

Answer:

I believe the answer is D: 10

Step-by-step explanation:

If the other line is 2 segments of 5 and from the center to both lines is the same then x and the other line should be equal

Answer:

92.75

Step-by-step explanation:

tenth spot is to right of decimal round up or down depending on the next number

Answer:

25cm

Step-by-step explanation:

each side is 5cm so multiple 5cm times 5cm then you get 25cm

Answer:

25cm^2

Step-by-step explanation:

P=4a

20=4a

a=5

A=a^2

A=5^2

A=25 cm^2

Answer:

All you have to do is replace p with 5, and see if it works. In this case it doesn't because 5+13 does not equal 21.

Answer:

Not a solution

Step-by-step explanation:

You would plug 5 into the equation where it says p. If 5+13=21, then it is a solution. If it equals to something different, then it is not a solution. In this case, it adds up to 18, making it not a solution.

Answer:

15 7 10 15 5

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

37x2=74

1. Distribute or open parenthesis

= 6x-3

15+8= 23

2. Solve

6x-3 = 23

Subtract 3 on both sides

6x= 20

Divide both side by 6

x= 20/6

x= 3.333 or 3 1/3

Answer:

The answer is H

Step-by-step explanation:

Answer:

1/2 pint or 0.5 pint

Step-by-step explanation:

1 pint = 2 cups

(1 pint)/2 = 1 cup

1/2 pint = 1 cup

1/2 pint or 0.5 pint

Answer:

At 5:15 PM , they will ring together.

Step-by-step explanation:

We have been given that first bell rings every 15 minutes and second bell rings at every 25 minutes.

In order to find when both will ring together again, we can find the LCM of these two numbers.

15 = 3 × 5

25 = 5 × 5

Therefore, LCM of these two numbers is

LCM = 5 × 5× 3

LCM = 75

Hence, 75 minutes = 75/60 = 5/4 hours

Therefore, at 5:15 PM , they will ring together.

At 5:15 PM the clocks will ring together.

In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple. The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers.

Given:

A clock is set to ring every 15 minutes whereas another clock is set to ring every 25 minutes.

In order to find when both will ring together again, we have to find the LCM of  25 and 15 as

15 = 3 × 5

25 = 5 × 5

LCM (25, 15) = 5 × 5× 3

                     = 75 min

                     = 1 hour 15 minutes.

Hence, At 5:15 PM the clocks will ring together.

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P × R × T ÷ 100

333,500 × 8% ×24 ÷ 100

64,032,000÷100

640,320

The amount of profit would the company make over the course of its first 24 years of operation should be $2,114,784.

Since annual profit is $333,500

The profit percentage should be likely 8%

And, the number of years should be 24

So, the amount of profit should be

[tex]= $333,500 * (1 + 0.08)^{24[/tex]

= $2,114,784

hence, The amount of profit would the company make over the course of its first 24 years of operation should be $2,114,784.

Learn more about profits here: https://brainly.com/question/10176219

Answer:

148176

Step-by-step explanation:

Answer:

148176

Step-by-step explanation:

21^3 = 9261

4^2 = 16

9261 × 16 = 148176

brainliest is appreciated

Answer:

Step-by-step explanation:

1. Monomial times Monomial

2. Binomial times Binomial

3. Binomial times Trinomial

4. Monomial times Trinomial

5. Binomial times Monomial

Answer: (The first number will be for the side on the left and the second will be for the on the right it matches with) (1, 3) (2, 1) (3, 5) (4,2) (5, 4)

Step-by-step explanation:

The nomial number(prefix) is determined by how many terms are in a parentheses. For example, The first one (3z) (9z) has one term bc 3z is one tern and 9z is one term so they are both monomials but b-1 would be a binomial because it has two terms so knowing that should explain my answers

Answer:

h = 3

Step-by-step explanation:

Looking at the given image, the height(h) divides the side length of 8 into two equal parts as we see that the height is perpendicular to the side length of 8 m.

Thus, looking at the half triangle of the face where the h is indicated, we can use pythagoras theorem to find h where the hypotenuse is 5 as shown in the diagram since each vertical cross section is an Isosceles triangle. Thus,

h² + (8/2)² = 5²

h² + 4² = 25

h² + 16 = 25

h² = 25 - 16

h² = 9

h = √9

h = 3

Answer:

Step-by-step explanation:

The area of the walkway will be 96 square feet. The correct option is C.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the dimensions of the crosswalk are,

19 feet

5 feet

The area of the cross-walk will be calculated as below,

Area = Length x Width

Area = 19 x 5

Area = 96 square feet

Therefore, the area will be equal to 96 square feet.

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Answer:

Step-by-step explanation:

[tex]area = \frac{1}{2} b \times h \\ area = \frac{1}{2} (10)(5) \\ area = 5 \times 5 \\ area = 25 \: {in}^{2} [/tex]

I hope that is useful for you

Answer:

Do you have a picture or can you explain more?

Step-by-step explanation:

Anime club: 500 - 30y

Computer club: 150 + 20x

*you could use any letter(variable) you like*

Answer:

USE PHOTOMATH OR CYMATH UR WELCOME

Step-by-step explanation:

Answer:

#2 is 2^-9.  #3 is 1/6^15. #4 is 10^8.

Step-by-step explanation:

Remember that with exponents, division is subtraction, and multiplcation is addition.

So for the first problem, 2^-5 / 2^4 is really:

2^-5-4

This is simply 2^-9 power.

Next we have (6^-3)^5. I dont mean to confuse you, so just remember. When, and ONLY when and exponent is INSIDE parentherse, can it be multplilied by another exponent that is OUTSIDE of the parenthesese. SO we can write this as:

6^-3*5

This equals:

6^-15

Which can further be simplyfied to:

1/6^15

Countinuing on we have 10^-12 / 10^-20. Since we are dividing, we subtract to exponenets. So we can write this as:

10^-12 - -20

This is just 10^8 power.

Hope this helps! :)

Answer:

B

Step-by-step explanation:

Prime Factorization involves breaking down a number into prime numbers (aka numbers that can only be divided by itself and 1)

36

9  x  4

(3x3) x (2x2)

Hope that helps!

Lets multiply all the choices so we can see if it all multiplied is 36.

A) 2 • 2 • 2 • 3

   4 • 2 • 3

   8 • 3

   24

B) 2 • 2 • 3 • 3

   4 • 3 • 3

   12 • 3

   36

C) 2 • 3 • 3 • 3

   6 • 3 • 3

   18 • 3

   53

D) 1 • 2 • 2 • 3

   2 • 2 • 3

   4 • 3

   12

The answer is B! I hope this helps.

Answer:

x is 13.03

Step-by-step explanation:

Start by determining the length of the horizontal side of one of the triangles shown.  The Pythagorean Theorem applies here:

(horizontal side)² + 17² = 19², so that:

(horizontal side)² + 17² = 19² - 17², or 72

Then the length of the horizontal side is +√72, or √36√2, or 6√2.

From the diagram it is obvious that the width of the rectangle, x, can be found by subtracting twice the length of the horizontal side of one of the triangles from 31 (base of the entire figure):

x = 31 - 2(6√2) = 13.03

x is 13.03

Answer:

720 children

Step-by-step explanation:

good day. I think that's the answer hope it helps you.

Answer:

1/2×5×(10+6)= 120

hope this helps pls give me brainles

Answer:

50in

Step-by-step explanation:

to find the area of a parallelogram the formula is A=b*h. which is

10*5.

Answer:

x=4

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{7}{2} = \frac{x}{11} \\ 2x = 77 \\ x = \frac{77}{2} \\ x = 38.5[/tex]

Answer:

The equation is;

3(x + 0.75) = 5.88

The original price is $1.21

Step-by-step explanation:

Let the original price per pound be $x

By going up, the new price will be;

(x + 0.75)

3 times this is the new price;

3(x + 0.75) = 5.88

3x + 2.25 = 5.88

3x = 3.63

x = 3.63/3

x = $1.21

Answer

x^2+3x=270

Explanation

x (x+3) =270

x^2+3x=270