At Open Skate Night, admission is $3.75 with a membership card and $5.00 without a membership card. Skate rentals are $3.00. The Moores paid $6 more for skate rentals than the Cotters did. Together, the two families paid $42 for skate rentals. How many pairs of skates did the Moores rent? The Moores rented 9 pairs of skates.

Answers

Answer 1

Answer: 8 skates

Step-by-step explanation:

Given that:

Skate rental = $3

Let number of skates rented by cotters = x

Hence, amount paid by cotters = 3x

The Moores paid $6 more

Moores amount = 3x + 6

Combined amount paid = 42

3x + 3x + 6 = 42

6x + 6 = 42

6x = 42 - 6

6x = 36

x = 36 / 6

x = 6

Hence, amount spent by the Moore's:

3x + 6

3(6) + 6 = 18 + 6 = $24

Cost per skate rental = $3

Hence x number of skates rented by the Moore's = $24 / 3 = 8 skates


Related Questions

Choose an expression equal to: 12x + 9

Answers

Answer:3

3(4x+3)

Step-by-step explanation:

r = 4 in., θ = 11 rad; find s

Answers

Answer:

The arc length s = 44 inches

Step-by-step explanation:

We are given:

r = 4 in

Ф = 11 radians

We need to find s

The formula used is: [tex]s=r\theta[/tex]

where s represents arc length, r is radius and Ф is angle in radians

Putting values and finding s

[tex]s=r\theta[/tex]

Put r = 4 and Ф = 11

[tex]s=4\times 11\\s=44[/tex]

So, the arc length s = 44 inches

Fabulous fitness charges a one time fee of $90 and an additional $25 per month wonder weights charges a one time fee of only $ 27 dollars but charges an additional $32 each month for how many months is fabulous fitness less expensive than wonder weights? Set up and solve an equality to determine your answer

Answers

Answer:

9 months

Step-by-step explanation:

Given

Fabulous fitness charges a one-time fee of $90 and an additional $25 per month

let the number of months be x

and the total charges be y

y= 25x+90---------1

Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month

let the number of months be x

and the total charges be y

y= 32x+27------------2

Required

The value of x, that is the number of months

Step two:

Equating both equations we have

25x+90=32x+27

collect like terms

25x-32x=27-90

-7x=-63

7x=63

divide both sides by  7

x= 63/7

x= 9 months

what is this simplified?

Answers

Answer:

35/48

Step-by-step explanation:

35/48

Answer:

35/48

Step-by-step explanation:

It is already in it's simplest form.

rewrite 2/5 : 1/20 as a unit rate. PLZ HELP

Answers

Answer:

8 I believe

step-by-step explanation:

Solve the problem
( Show your work )

2x + 10 =- 4x – 9

Answers

Answer:

x = -19/6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

2x + 10 = -4x - 9

Step 2: Solve for x

Add 4x on both sides:                    6x + 10 = -9Subtract 10 on both sides:             6x = -19Divide 6 on both sides:                  x = -19/6

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    2(-19/6) + 10 = -4(-19/6) - 9Multiply:                               -19/3 + 10 = 38/3 - 9Add/Subtract:                      11/3 = 11/3

Here we see that 11/3 does indeed equal 11/3.

∴ x = -19/6 is the solution to the equation.


Which of the following sets of numbers could represent the three sides of a right
triangle?

Answers

Answer:

(45,60,75)

Step-by-step explanation:

Because 45^2 + 60^2 = 75^2

                  5625 = 5625

Simplify.
9/3x + 4+ 2x

Answers

Answer:

5x+4

Step-by-step explanation:

Pls answer if u do know

Answers

I think that it is the 3rd one.

Simplify the complex fraction shown below: 1/4 over 10/9

Answers

Answer:

9/40 or 0.225

Step-by-step explanation:

Find the area. Simplify your answer.
3x
4
Help

Answers

Answer:

The area is 12x^2

Step-by-step explanation:

What is the perimeter?

Answers

Answer:

26

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

6 +6=12

12+3=15

15+2=17

17+4=21

In 2001, Takeru Kobayashi set a world record by eating 50 hot dogs in 12 minutes. Find Kobayahi's rate of consumption in hot dogs per minute.

Answers

It is 5:

In order to find hotdogs per minute, you need to divide the number eaten by the minutes. It can be represented by n/m (number over minutes). This is shown with all questions like this. The literal answer is 4.166666667, but since hotdogs are whole, you round it up to the next highest value

Write an equation of the line that passes through (18, 2) and is parallel to the line 3y−x=−12

Answers

Answer:

[tex]y = \frac{x}{3} - 4[/tex]  

I hope this helps!

To graph slope-intercept form, put a point at the _________, then use the _________ to rise and run

Answers

Answer:

b and m or known the y-intercept and slope

Step-by-step explanation:

you first place your point of y-intercept which is b in the equation its always got a x value of 0 paired with it.

then from there you place points using the m in the equation which is you rise over run for all your folling points on the graph.

hope that helps

What is the value of the expression below when w=7 and x=2?
3w - 4x

Answers

Answer:

13

Step-by-step explanation:

3(7)-4x

3(7)-4(2)

21-8

=13

John buys two types of tree saplings. One starts out at 40 cm and will grow 10 cm every three months. The other sapling starts at 20 cm and will grow 10 cm every two months. After how many months will they be the same height, and how tall will they be? solve for y and x

Answers

Answer:

They will at the same height of 80cm at 12 months.

Step-by-step explanation:

Sapling A:

y = 10/3x + 40

Sapling B:

y = 5x + 20

Set the equations to equal each other.

10/3x + 40 = 5x + 20

10/3x - 5x = 20 - 40

10x - 15x = 60 - 120

-5x = -60

x = 12

Sub x = 12 into one of the two equations (It doesn't matter which one you choose)

y = 5(12) + 20

y = 80

Question 3
True or false. A discount will add to the total cost you
will pay for an item.

Answers

Answer:

False

Step-by-step explanation:

Is 47/67 terminating, non terminating or repeating

Answers

Terminating :)))))))))

The number positioned at point E is...

Answers

Answer:4 and a half

Step-by-step explanation:

4 and a half

answer : 4 1/2

explanation - 4 and a half

Helppppp me please I need help please

Answers

Answer:

bruh. this wat im working on too and need help also

Answer:

x = 3.6, the measure of the largest angle is 86.4

Step-by-step explanation:

15x + 24x + 21x = 180

50x = 180

180/50 = 3.6

x = 3.6

-------------------------

24x = 24(3.6)

24 * 3.6

86.4

The cost, Y (in dollars) to provide for guests at a dinner party is proportional to the number x of guests attending the party. It costs 30 dollars to provide food for 4 guests.

Answers

Maybe you missed to add the complete question. After a little research I was able to find the complete question which is as follows:

''The cost y(in dollars) to provide food for guests at a dinner party is proportional to the number x of guests attending the party. It costs $30 to provide food for 4 guests. a. Write an equation that represents the situation. b. Interpret the slope. c. How much does it cost to provide food for 10 guests?''

So, I am solving based on this complete question.

Answer:

Please check the explanation.

Step-by-step explanation:

a. Write an equation that represents the situation.

As the cost and the number of guests are proportional.

So the equation of the form

[tex]y = mx[/tex]

Plug in the values y = 30 and x = 4 to find m

[tex]y = mx[/tex]

30 = m (4)

m = 30/4

    = 7.5

Now, substituting m = 7.5 in the equation y=mx

[tex]y = mx[/tex]

[tex]y = 7.5x[/tex]

b) Interpreting Slope

Given that the units for y are dollars, and the units for x are guests.

Thus, the slope 7.5 means it costs $7.5 per guest.

c) How much does it cost to provide food for 10 guests?''

We know the equation

[tex]y = 7.5x[/tex]

put x = 10

y = 7.5(10)

y = $75

Thus, it costs 75 dollars for 10 guests.

If the principal is $10, 624 and the rate of interest is 6.25%, what is the amount of interest after four years?

Answers

Answer:

$2656

Step-by-step explanation:

6.25% of $10,624 is $664, so that is the amount of interest every year.

$664 times 4 is $2656, so after 4 years $2656 will have been paid.

The table shows the amount of flour
used to make waffles. What is the unit
rate for the amount of flour per waffle?

Answers

Answer:

⅛ cups per waffle

Step-by-step explanation:

What is 31/87 as a percentage?
Give your answer rounded to one decimal place.

Answers

Answer:

35.6%

Step-by-step explanation:

31/87(100)

3100/87

35.6%

Answer:

35,6%

Step-by-step explanation:

31/87 = 0,35632184

As a percentage: 35,632184%

Rounded to one deciman place: 35,6%

A lemonade recipe calls for 6 gallons of water. How many cups of water are needed for the recipe.

Answers

Answer:

96

Step-by-step explanation:

Hope this helps

mr minnelo hasksidir​

Answers

Answer:

Who has that name?

Step-by-step explanation:

What's the question i'm really curious lol

Loch ness is the largest lake in Scotland.
The lake has a volume of water of 7.45x10^9 m^3.

The volume of water in Lake Superior is k times the volume of water in Loch ness.
Lake Superior = 8.21x10^10

Work out the value of k.
Give your answer correct to 3 significant figures.

Answers

Answer:

11.020

Step-by-step explanation:

vol of l.supe = k(lochness)

88.21 * 10^10 = k( 7.45 * 10^9)

divide and k =11.020

in fraction = 1642/149

HELPPP!!! ASAPP!!!! FINALSSS!!!!

Answers

The answer to this question is D 7

Solve the equation: 5 + 2(3 + 2x) = x + 3(x + 1)

Answers

Answer:

No solutions

Step-by-step explanation:

In this question, you would be solving for x.

Solve:

5 + 2(3 + 2x) = x + 3(x + 1)

Use the distributive property.

5 + 6 + 4x = x + 3x + 3

Combine like terms.

11 + 4x = 4x + 3

Subtract 4x from both sides.

11 = 3

Since we don't have an "x value", there are no solutions.

"No solutions" would be your answer.

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