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

A soup that serves 8 people calls for 1 cans of chopped clams. 2 cups of chicken broth, 3 cups of milk, and 2 cups of cubed potatoes. Using the ratio provided in this problem and in the table, complete the rest of the table for each amount of people. ​

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Answer:

We’ll, I need the table to answer that.

Step-by-step explanation:

A snow-cone machine priced at $139 is on sale for 20% off. What is the price of the snow-cone machine after the discount?

Answers

Answer:

The answer would be 127. 03

Step-by-step explanation:

3. The number of years that Brad has been on the soccer team is 2 less than 5 times the number
of years that Scott has. In total, the boys have been on the soccer team for 10 years. How long
has Brad been on the soccer team?

Answers

Answer:

Answer: Brad has been in the team for 8 years. Trust i got it right on the test

Step-by-step explanation:

If 15% of 200 apples are bad, haw many apples are bad? (Please include explanation)

Answers

Answer:

30 bad apples.

Step-by-step explanation:

1% is equivalent to two bad apples because 200 is the 100%.

According to this statement, multiply 2 x 15.

30 bad apples

PLSSSSS HELP ANSWER. I NEED THE EXACT ANSWER. What is the slope line of 0,-6 and 2,8.

Answers

Answer:

slope = differemce in "y" / difference in "x"

slope = (8 --6) / (2 -0)

slope = 7

Step-by-step explanation:

30 points :) please answer this question for me pleaseee its for homework
please answer it and dont just put a random answer ):

Answers

Answer:

boottom left middle left and top right

Step-by-step explanation:

Help Mee!!! What’s the answer

Answers

Answer:

A.

Step-by-step explanation:

Solve by using substitution. Express your answer as an ordered pair.

Answers

Answer:

(1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

4x + y = 2

y = x - 3

Step 2: Solve for x

Substitution

Substitute in y:                    4x + (x - 3) = 2Combine like terms:           5x - 3 = 2Isolate x term:                     5x = 5Isolate x:                              x = 1

Step 3: Solve for y

Define equation:                    y = x - 3Substitute in x:                       y = 1 - 3Subtract:                                 y = -2
(1,-2) is the ordered pair

In addition to the grains listed above, the recipe also
includes 11 cups of dried fruit. Show how to find the
amount of dried fruit needed if you use 3 cups of oats.

Answers

3/2 = 1.5
11 x 1.5 = 16.5
you would need 16.5 cups of dried fruit

Sammy Sales had the following receipts for his tree trimming business for the first six months of the year. What is the average of his sales for this period? (Use a thousands comma where applicable.) Jan. Feb. Mar. Apr. May Jun. $1,205 $1,450 $1,530 $1,655 $1,610 $1,710 $

Answers

[tex]average = \frac{sum \: \: of \: \:all \: \: obeservations}{no. \: \: of \: observaions} [/tex]

[tex] = \frac{1205 + 1450 + 1530 + 1655 + 1610 + 1710}{6} [/tex]

[tex] = \frac{9160}{6} [/tex]

[tex] = 1526.66[/tex]

___________________________________________

1526.66 is the average of his sales for this period.

In the given equation, k is a constant. If the equation has no solution, what is the value of k?

Answers

Answer:

0

Step-by-step explanation:

The value of constant 'k' will be [tex]\frac{1}{3}[/tex].

Given equation in the question is,

[tex]\frac{1}{3}\times (x-k)=kx[/tex]

Further solve the expression for the solution of the equation.

[tex]\frac{3}{3}\times (x-k)=3kx[/tex]

[tex](x-k)=3kx[/tex]

[tex]x-3kx-k=3kx-3kx[/tex]

[tex]x-3kx-k=0[/tex]

[tex]x(1-3k)=k[/tex]

[tex]\frac{x(1-3k)}{(1-3k)}=\frac{3kx}{1-3k}[/tex]

[tex]x=\frac{3kx}{(1-3k)}[/tex]

Since, equation has no value, denominator will be zero.

[tex]1-3k=0[/tex]

[tex]1=3k[/tex]

[tex]k=\frac{1}{3}[/tex]

     Therefore, Option (D) will be the correct option.

Learn more,

https://brainly.com/question/18595944

Find the slope of the line that passes through the point (4,8) and (3,-3)

WRITE YOUR ANSWER AS A DECIMAL AND ROUND TO THE NEAREST TENTH (1 decimal place)

Answers

Answer:

I don't think it's possible for this to be a decimal because the slope is positive 11.

Step-by-step explanation:

Use slope formula. x2-x1/y2-y1. Since we always go with the smaller x value we do 8-(-3) / 4-3/ We'll get 11 for 8-(-3) and we'll get 1 for 4-3/ so that leaves us with 11/1 which can't be simplified and has no decimal.

i did it and i got 11 i don’t think it comes out as a decimal

Simplify the following problem.
| -48 – (-5) |

Answers

Answer:

the answer is -43 it is right

Answer:

-43

Step-by-step explanation:

ANOTHER QUESTION PLS HELP! 7TH GRADE MATH

Answers

Answer:

Yes, of 1 1/2

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

8 x what  equals 12

Divide 12 by 8 and that gives you 1.5  

now try 6 x 1.5 = 9

Hope this Helps!!!

Help needed ASAP will give brainliest and 5 STARS VOTE RATE

Answers

Answer:

Nebula

Step-by-step explanation:

These clouds are called nebulae. A typical nebula is many light-years across and contains enough mass to make several thousand stars the size of our sun.

Write the following in slope-intercept form.

Answers

Answer:

[tex]\huge\boxed{y=4x-7}[/tex]

Step-by-step explanation:

Linear equations will always be in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept

Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.

Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x ([tex]\frac{\Delta y}{\Delta x}[/tex]), so we can use the two points given to us to find both changes.

The y value goes from 1 to 17, which is a [tex]17-1=16[/tex] change.

The x value goes from 2 to 6, which is a [tex]6-2=4[/tex] change.

Now that we know both changes, we can divide the change in y by the change in x.

[tex]\frac{16}{4}=4[/tex]

Now that we know the slope (4), we can plug it into our equation ([tex]y=mx+b[/tex]).

[tex]y=4x+b[/tex]

Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).

[tex]1 = 4(2) + b[/tex][tex]1 = 8+b[/tex][tex]b = 1-8[/tex][tex]b = -7[/tex]

Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.

[tex]y=4x-7[/tex]

Hope this helped!

Please help I’ll give you guys brainiest!


Thank youuuuuuu :))

Answers

Answer:

what are you supposed to solve for?

Step-by-step explanation:

Answer:

Can anyone say what are we supposed to ans or solve

please please help i’ll give brainliest tysm :)

Answers

ANSWER: $1.25

Explanation: $7.50 divided by 6


BRAINLIEST please

Answer:

It's the top answer or A.

Step-by-step explanation:

Because if you have 6 avocados for 7.50 just divide without including the decimal point. 750 divided by 6 is 125

include the decimal point in between 1 and 2

boom 1.25

help a brudda out its easy work bruddas

Answers

Answer:

Line 1 is y=-x-2

Line 2 is y=[tex]-\frac{1}{5}x+2[/tex]

Slope of Line 1 is -1 Slope of Line 2 is -[tex]\frac{1}{5}[/tex]

Y-intercept of Line 1 is -2 and Y-Intercept of Line 2 is 2

Following statements true: 1, 2, 4

Step-by-step explanation:

Find the length of Ac. Round your answer to the nearest tenth

Answers

Answer:

x ≈ 4.3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tan∅ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify Variables

Angle = 35°

Opposite Leg = 3

Adjacent Leg = x

Step 2: Solve for x

Substitute [tangent]:                    tan35° = 3/xMultiply x:                                     xtan35° = 3Isolate x:                                       x = 3/tan35°Evaluate:                                       x = 4.28444Round:                                          x ≈ 4.3

The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of weeks from today. Is the equation in slope intercept form? Explain

If you graphed this situation what would the slope represent? Explain

If you graphed this situation what would the y intercept be and what would it represent?

What units make sense for the slope?

Answers

Answer:

Please check solution for answer

Step-by-step explanation:

The general equation of for the slope of a line is

y = mx + c

where m is slope and c is the y-intercept

a). Yes it is in the slope-intercept form

b) The slope would represent the amount of money in dollars per week that is in the wallet

c) The y-intercept would be 125 and it is the amount of money present in the wallet before today

d) The slope would have a unit of dollars per week

What is the median of this data set?

9, 7, 9, 7, 3, 5, 9.

A. 3
B. 4
C. 7
D. 9

Answers

Answer: C
Reason: the median is going to be the number in the middle of all the numbers.
Take two pencils and put one on the last number and the other on the first number. Each time the pencils take a step towards each other. The number at which they meet is the median.
Hope this helps

Todd and Agnes are making desserts. Todd buys peaches and a carton of vanilla yogurt. Agnes buys the same number of pieces of fruit. Is there a situation in which they pay the same amount for their purchases?

Answers

Answer:

8 fruits

Step-by-step explanation:

Todd and agnes are making desserts. todd buys

peaches and a carton of vanilla yogurt. agnes

buys apples and a jar of honey. they bought

the same number of pieces of fruit. is there a

situation in which they pay the same amount for

their purchases? explain.

apples

peaches=

$1.25 for peaches

$1.00 for apples

yogurt

honey=

$4 for yogurt

$6 for honey

Todd:

Peaches + yogurt

1.25x + 4

Agnes:

1.00x + 6

Where,

x = number of pieces of fruit

Equate the cost of Todd and Agnes

1.25x + 4 = 1.00x + 6

1.25x - 1.00x = 6 - 4

0.25x = 2

x = 2/0.25

= 8

x = 8 fruits

The situation in which they both pay the same amount for their purchases is when they buy 8 fruits each

A rectangular garden is 4 feet wide and 9 feet long. The dimensions of the pool are 150% larger than the dimensions of the garden.

What are the dimensions of the pool?


600 feet wide and 1350 feet long.

6 feet wide and 13.5 feet long

5.5 feet wide and 10.5 feet long

8 feet wide and 18 feet long

Answers

Answer: B) 6 feet wide and 13.5 feet long

================================================

Work Shown:

150% = 1.5 after moving the decimal 2 spots to the left

Multiply this with each of the dimensions given

4*1.5 = 6

9*1.5 = 13.5

The pool is 6 feet by 13.5 feet

Which statements are TRUE? Select all that apply. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour. If 6 pens cost $7.74, then 7 pens cost $9.03. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

Answers

Answer: See explanation

Step-by-step explanation:

a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.

Speed = Distance / Time

= 112 / 1 45/60

= 112 / 1 3/4

= 112 × 4/7

= 64 miles per hour.

TRUE

b . If 6 pens cost $7.74, then 7 pens cost $9.03.

Cost of one pen = $7.74/6 = $1.29

Cost of 7 pens = $1.29 × 7 = $9.03

TRUE

c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.

Speed = Distance / Time

Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes

FALSE

d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.

Cost of one can = $38.59 / 17 = $2.27

Cost of 3 cans = $2.27 × 3 = $6.81

TRUE

e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

A dozen = 12

2 dozens = 12 × 2 = 24

Cost of one egg = $8.40 / 24 = 0.35 = 35 cents

FALSE

Suppose a is an angle in standard position whose terminal side lies in Quadrant III.
If tan a = 2/3 find the value of sin a.

Answers

Answer:

Step-by-step explanation:

This is a simplified solution.

This is an example of a(n)?

A) Contraction
B) Enlargement

Answers

Answer:

A) Contraction

Step-by-step explanation:

Answer:

The answer to this question is Contraction.

How do you dilate a figure on the coordinate plane and determine its scale factor?

Answers

Answer:

All you have to do is scale up the coordinates of the plane by the factor. Multiply the values of each coodinate by the scale factor.

Step-by-step explanation:

Independent or Dependent?

Answers

Answer:

independent

Step-by-step explanation:

independent...HOPE THIS HELPS!!

Noah bought a new car. It gets 21.7 miles per gallon
of gas on the highway. His gas tank is able to hold 14
gallons of gas. How many miles can Noah travel on the
highway on one tank of gas?

FIRST TO ANSWER GETS BRAINIEST

Answers

303.8 because one tank holds 14 gallons and each gallon get 21.7 miles
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