A bowling alley charges $2.50 per game plus $4 to rent shoes. A second bowling alley charges $4 per game plus $1 to rent shoes. How many games would a
person have to play for the two bowling alleys to cost the same amount?

Answers

Answer 1

Answer:

The person would have to play 2 games for the two bowling alleys to cost the same amount

Step-by-step explanation:

Assume that the number of games that makes the two costs equal is x

∵ A bowling alley charges $2.50 per game plus $4 to rent shoes

∵ The number of games is x

The cost = 2.50x + 4

∵ A second bowling alley charges $4 per game plus $1 to rent shoes

∵ The number of games is x

The cost = 4x + 1

∵ They have the same cost

→ Equate the 2 expressions above

4x + 1 = 2.50x + 4

→ Subtract 2.50x from both sides

∵ 4x - 2.50x + 1 = 2.50x - 2.50x + 4

1.50x + 1 = 4

→ Subtract 1 from both sides

∵ 1.50x + 1 - 1 = 4 - 1

1.50x = 3

→ Divide both sides by 1.50

x = 2

The person would have to play 2 games for the two bowling alleys to

   cost the same amount


Related Questions

Help MEE!! what is the answer please

Answers

Answer:

v=12500-2500h

Step-by-step explanation:

Ok so to create this equation all you need to do is look at what information is given. You start with 12500 gallons of water so we know our equation is going to have 12500 in it.

So far our equation would look like this v=12500

The next information we are given is that it is decreasing by 2500 every hour so we know that we are going to be subtracting 2500 based on how many hours have went by so our equation would then look like this.

v=12500-2500h

we can check this by plugging in some numbers to see if it works. So at Zero hours we should still be at 12500

v=12500-2500(0)

v=12500

Ok so we know that it works for zero, but we should check at least one more number. We know that after 3 hours we would of lost 7500 gallons of water so it should equal 12500-7500=5000 gallons. Lets check this in our equation

v=12500-2500(3)

v=12500-7500

v=5000 Gallons

I need help ASAP with questions 3-7 plz show steps I will also mark brainliest

Answers

Answer:

.

Step-by-step explanation:

                            .

Tyler runs 8 miles and it takes him 64 minutes. How many miles can he run in 20 minutes?

Answers

Answer:

2.5 miles

Step-by-step explanation:

64/8=20/x

8=20/x

*x    *x

8x=20

/8    /8

x=20/8

x=5/2 or 2.5

2 miles

Since 8 x 8 is 64. We would have thought to multiply 2 x 8 but that leaves us to 16. So if we multiply 2 x 10, that gives us 20.

Solve for x:
2x - 14 = 3x + 6

Answers

Answer:

x = - 20

Step-by-step explanation:

[tex]2x - 14 = 3x + 6[/tex]

Move 3x to the other side of the equation

[tex]2x - 3x - 14 = 6 \\ - x - 14 = 6[/tex]

Move -14 to the right side of the equation.

[tex] - x = 14 + 6 \\ - x = 20[/tex]

Multiply both sides by - 1

[tex] - ( - x) = - 20 \\ x = - 20[/tex]

We have the final answer as

x = - 20

Hope this helps you

Answer: add 14 to both sides of the equation

2x-14=3x+6

2x-14+14=3x+6+14

Simplify

add the numbers

2x-14+14=3x+6+14

2x=3x+6+14

add the numbers

2x=3x+6+14

2x=3x+20

subtract 3x from both sides of the equation

2x=3x+20

2x-3x=3x+20-3x

simplify

Combine like terms

2x-3x=3x+20-3x

-x=3x+20-3x

Combine like terms

-x=3x+20-3x

-x=20

Divided both sides of the equation by the same term

-x=20

-x/-1=20-/-1

Simplify

Cancel terms that are in both the numerator and denominator

-x/-1=20/-1

x=20/-1

Divide the numbers

x=20/-1

x=-20

So the answer is x=-20

Hope this helps... Stay safe and have a great day/night!!! :D

My daily point give away!!! What is ten times 30 minus 1

Answers

Answer:

29!

Step-by-step explanation:

tysm!

Answer:

10×30-1=299

Step-by-step explanation:

10×30=300

300-1=299

thx

I need the sum to (x + 3) + (2x-1)

Answers

answer:

3x + 2

YOUR WELCOME MARK BRAINLIEST

Answer:

18

Step-by-step explanation:

Parantheses

Exponents

Multiply

Division

Adding

Subtracting

Which expression is a sum of a number and a product?
A. 3 + 5x
B. 5 + x - 3
C. 5(x - 3)
D. 5x​

Answers

Answer:

its a. rhejhdhrhrjdhr

What is the equation of the line whose y-Intercept is 3 and slope is 1?

Answers

y = x + 3

as x increases by 1, y increases by 1 (Slope)

when x equals 0, y equals 3 (y-intercept)

Problem Francine uses 2 3 3 2 ​ start fraction, 2, divided by, 3, end fraction cup of pineapple juice for every 1 3 3 1 ​ start fraction, 1, divided by, 3, end fraction cup of orange juice to make a smoothie.

Answers

Answer:

Pineapple juice = 2 cups

Step-by-step explanation:

Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie , how many cups of pineapple juice does Francine use for 1 cup of orange juice

Pineapple juice : Orange juice

2/3 cup : 1/3 cup

how many cups of pineapple juice does Francine use for 1 cup of orange juice

Let x = cups of pineapple juice

Pineapple juice : Orange juice

x cup : 1 cup

Equate the ratios

2/3 cup : 1/3 cup = x cup : 1 cup

2/3 ÷ 1/3 = x / 1

2/3 × 3/1 = x / 1

6/3 = x / 1

Cross product

6 * 1 = 3 * x

6 = 3x

x = 6/3

x = 2

Pineapple juice = 2 cups

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
16 gal : 24 gal

Answers

2:3 . you divide the numbers by the greatest factor. which is 8. 24 divided by 8 is 3, 16 divided by 8 is 2. =2:3

URGENT
The measure of one of the acute angles in a right triangle is 24. what is the measure of the other angle?

Answers

Answer:

do you have pictures and more measurements so i can solve the problem for you?

Step-by-step explanation:

Lin was looking at the equation 2x−32+4(3x−2462)=14x. She said, “I can tell right away there are no solutions, because on the left side, you will have 2x+12x and a bunch of constants, but you have just 14x on the right side.” Do you agree with Lin?

Answers

Answer:

Disagree with Lin: There are no solutions because 12x+2x is equal to 14x, if 14x=14x on both sides, the x variable can be cancelled out since they have the same slope

Step-by-step explanation:

I agree with Lin the system of equation  2x - 32 + 4(3x - 2462) = 14x

has no solution.

What are the three types of solutions for a system of linear equations?

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.

Given, An equation 2x - 32 + 4(3x - 2462) = 14x.

2x - 32 + 12x - 9848 = 14x.

14x - 9880 = 14x.

So, 14x - 9880 ≠ 14x and has no solution.

learn more about the system of linear equations here :

https://brainly.com/question/19549073

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Sylvia bikes home along a straight road from her friend's house, a distance of 8 miles,
The graph shows her journey

Answers

Answer:

what is the question and what is the graph

Step-by-step explanation:

Ok um chile what is 10/11+1/2 if you cant answer this than das oki but plz do :v

Answers

Answer:

I believe it's 1.333

Step-by-step explanation:

ASAP HELP FOR BRAINLIEST!!!

A basketball player's goal was to score at least 275 points in the season. So
far, he has scored 212. If there is one game left, how many points must he
score to reach his goal? Be sure to include an inequality to represent this
scenario.

Answers

Answer:

63 more points

Step-by-step explanation:

275(goal) - 212(current points) = 63(points needed)

Check your work: 212+63=275

He needs to score 63 points

Lines / and m parallel. Can be represented by the 3x+4y=8. If line m passes thorough the point (2,-5), which equation can be used to find the equation of line m

Answers

Answer:

y=−34x+2.75

Step-by-step explanation:

Parallel lines have the same slope. Solve for the slope in the first line by converting the equation to slope-intercept form.

3x + 4y = 12

4y = –3x + 12

y = –(3/4)x + 3

slope = –3/4

We know that the second line will also have a slope of –3/4, and we are given the point (1,2). We can set up an equation in slope-intercept form and use these values to solve for the y-intercept.

y = mx + b

2 = –3/4(1) + b

2 = –3/4 + b

b = 2 + 3/4 = 2.75

Plug the y-intercept back into the equation to get our final answer.

y = –(3/4)x + 2.75

SOMEONE PLEASE HELP ME

Answers

Answer:

x=5 y=38

Step-by-step explanation:

180 degrees total minus the right angle (90) = 90... divide that by the two angels and its 45 each so for x; 45/3 = 5 for y; 45-7= 38

Answer:

y=−3x+83

x= −1 /3 y+ 83 /3

Step-by-step explanation:

right angles=90

triangles=180 degrees

180=3x+y+7+90

solve for x

3x+y+97=180

Add -y to both sides

3x+y+97+−y=180+−y

3x+97=−y+180

Add -97 to both sides

3x+97+−97=−y+180+−97

3x=−y+83

Divide by 3

x= −1 /3 y+ 83 /3

now solve for y

180=3x+y+7+90

Add -3x to both sides

3x+y+97+−3x=180+−3x

y+97=−3x+180

Add -97 to both sides

y+97+−97=−3x+180+−97

y=−3x+83

8.
What is the area of a circle whose diameter is 10?
A.10 pi
B.20 pi
C.25 pi
D. 100 pi

Answers

Answer:

25 pi

Step-by-step explanation:

area of circle = pi (r)^2

radius = 10/2 = 5

5×5 = 25

25 pi

Answer:

C

Step-by-step explanation:

The formula is pi(r^2)

r=radius

=10/2

Netflix Recommendations??(WORTH 50 POINTS) Ive seen..
Riverdale
Ozarks
Outerbanks
Vampire Diaries
Legacies
CSI Miami
Chicago P.D.
Zoo
Insatible
Breaking Bad
Schitts Creek
Sex Ed
Grey's Anatomy
All American
Cobra Kai

Answers

Answer:

...

Step-by-step explanation:

Answer:

Enola Holmes is a really good movie staring Millie bobby brown  

criminal minds is a good show as well

umbrella academy

super natural  

how to get away with murder my personal fav

Step-by-step explanation:

The length of a rectangle is 5 less than 3 times its width. The perimeter is
78. Find the LENGTH.*

Answers

Answer:

The length is 28 and the width is 11

Step-by-step explanation:

To solve this problem, we can make the width as x.

Since the length is 5 less than 3 times the width, it's going to be 3x - 5

So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:

2(3x - 5) + 2x = 78

6x - 10 + 2x = 78

8x - 10 = 78

8x = 88

x = 11

x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:

3x - 5

3 × 11 - 5

33 - 5 = 28

Answer: Length = 28 (don't forget to add the unit if there is one)

Solve for x!!! Help please this is urgent!!!

Answers

Answer:

46.6

Step-by-step explanation:

[tex]48^{2} - 20^{2} = 1904\\\sqrt{1904} = 43.6\\43.6 + 3 = 46.6[/tex]

Tommy is baking a cake. He knows that he needs 2/3 cups of flour to make 4 cakes. How many cups of flour will Tommy need to make 8 cakes?

Answers

1. 1/3 cups..... ok vthen have a good day

Use the properties of equality to solve the equation 3x+2-x=11x+9. State which property justifies your first step and why you chose it. Check your solution

Answers

3x + 2 - x = 11x + 9
3x - x + 2 = 11x + 9
2x + 2 = 11x + 9

X= - 7 over 9

The first step we'll make is subtraction property of equality and we choose this property to separate the variables and contsnts.

What are the properties of equality?

Facts regarding any two or more quantities connected by the equal sign are known as properties of equality.

There are four types of properties of equality.

Addition property, when two equal quantities are increased by a common value, the equality is preserved.

Transitive property of equality, entities that are equivalent to one another are also equivalent to one another.

Subtraction property, equality is maintained when a common term is subtracted from two equal terms.

Multiplying by a common term do not alter the equality, according to the multiplication property of equality.

Given, An equation 3x + 2 - x = 11x + 9.

The first step would be subraction property of equality.

We'll subtract 2 from each side of the equation.

3x + 2 - x - 2 = 11x + 9 - 2.

3x - x = 11x + 7.

We choose subraction property of equality to separate the vriables and the constants.

learn more about subtraction property of equality here :

https://brainly.com/question/29182336

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3. You are selling hot cocoa at an
amazing price of $0.80 a cup. You
want to make(earn) $ 48. How many
cups do you need to sell?

Answers

Answer:

you need to sell 60 cups

Step-by-step explanation:

48÷0.80= 60 cups

hope it helps!

please mark me brainliest

Beth cooks 2 pounds of pasta. She serves 5 pound of pasta on each plate.
What is the total number of plates Beth serves with the 2 pounds of pasta?

Answers

Answer:

2/5

Step-by-step explanation:

please help!! I'm confused, ignore the math book thing. And it's asking what property it is, the associative property or the communitive property?

Answers

Answer:

its associative property

Step-by-step explanation:

2+d=2+d

d=2

What is the area of the room represented in the scale drawing?

Answers

Answer:

You have to do length times width

Step-by-step explanation:

Area= leingth time width ( 3D shapes = leinght times width times height)

Mae Ling earns a weekly salary of $315 plus a 7.5% commission on sales at a gift shop. How much would
she make in a work week if she sold $4,900 worth of merchandise?
She would make $

Answers

Answer:

4400*7.5%=330+315=$645 a week

Step-by-step explanation:


Help me please, I’ll give brainliest, pls say how u got the answer but quickly

Answers

Answer:

A) y = -1/2x + 2

Step-by-step explanation:

The line is negative, so you will have a negative slope

The line is crossing the y- axis at 2 so the y- intercept is 2.

Now do rise over run or rise/run

The lines rise is 2 and the run is 4

2/4 = 1/2 and since the line is negative the slope is negative -1/2

y = -1/2x + 2

Hope this helps ya!!

What is the value of t?
40°
39°

Answers

Answer:41

Step-by-step explanation:

because the 49 degrees and t equal a right angle which is 90 degrees you subtract 49 from 90 which makes the remaining degree aka t 41

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