A video game store allows customers to rent games for $5 each. Customers can also buy a membership for $50 annually, and video games would only cost $2.50 each. Write and solve an equation to find the number of video games a customer would have to rent in a year in order for the two options to be equal.

Answers

Answer 1

Answer:

20 games

Step-by-step explanation:

Given

Customers:

[tex]Rent = \$5[/tex] per game

Members:

[tex]Membership = \$50[/tex]

[tex]Rent = \$2.50[/tex] per game

Required

Determine number of games for both to be equal

Represent the number of games with g

For regular customers;

g games cost: [tex]5 * g[/tex]

For Members

g games cost: [tex]50 + 2.50 * g[/tex]

Equate both expressions:

[tex]5 * g = 50 + 2.50 * g[/tex]

[tex]5g = 50 + 2.5 g[/tex]

Collect like terms

[tex]5g -2.5g= 50[/tex]

[tex]2.5g= 50[/tex]

Solve for g

[tex]g = 50/2.5[/tex]

[tex]g = 20[/tex]


Related Questions

A rectangle is 10 feet long and 3 feet wide. Find its area

Answers

Answer:

30 ft²

Step-by-step explanation:

The formula to find the area of a rectangle is:

Length x Width

1 5/6 x 2 3/8. What is one and five sixths times two and three eighths?

Answers

1 and 5/6 can be rewritten in improper form as 11/6. So if you multiply 11/6 x 3/8, you get 11/16.

I need help to change the subject of the formula to W

Answers

Answer:

[tex]w=\frac{h}{m} -\frac{3}{3}[/tex]

I hope this is what you were asking for :)

giving brainlist 8th grade math

Answers

Answer:

x = -3

Step-by-step explanation:

The equation of any linear function is y = mx + c, where m is the gradient and c is the y-intercept

The equation of the function is y = -x + 4

The gradient is negative one (hence 1x) and the y-intercept is 4

We need to find what x equals when the y = 7

7 = -x + 4

Rearrange

7 - 4 = -x

-x = 3

x = -3

Noah gave his mom 3 types of flowers: 6 big red roses, 8 small white carnations, and 3 big yellow sunflowers in a bouquet. What is the ratio of big flowers to total flowers?

could you explain. to please?
help?! :)​

Answers

3 types of flowers

6 big red roses
8 small carnations
3 big sunflowers

Ratio of big:total

6 + 3 : 6 + 8 + 3
9 : 9 + 8
9 : 17

How much money should I save in an account paying 5% interest compounded monthly if I wanted to have $6000 in 6 months

Answers

Answer:

$4,351.48

Step-by-step explanation:

This is because if you take 6,000 and use the part over whole method, 6,000 x 100 = 600,000 divided bt 105.5 = 5,687.20, continue that with the same numbers, except you replace the part with the last answer you got.

6,000 after 6 months

5,687.20 after 5 months

5,390.72 after 4 months

5,109.68 after 3 months

4,843.30 after 2 months

4,590.81 after 1 month

4,351.48 as the initial deposit.

(66÷11)3-6∙8
107+28-512
can someone help me with these 2 questions and explain

Answers

To your question I recommend using GEMDAS/PEMDAS

Grouping Exponent Multiply Divide Add Subtract

Parentheses Exponent Multiply Divide Add Subtract

Go in this order left to right

Answer: (66/11)^3-6*8 = 168

              10/7+28-51/2 = 23.93

Step-by-step explanation:

First set:

(66/11)^3-6*8

(66/11)=6

(6)3-6*8

6^3=216

216-6*8

6*8=48

216-48= 168

Second Set:

10/7+28-51/2

= 206/7-5.5

= 23.928571

we would want to round that answer to 23.93

optional answers:

24

23.9

23.929

etc.

There's your answer

correct me if I'm wrong, or if this wasn't what you were looking for

Good Luck!

Edit:

the exponent is the number 3 also for the 1 question and for the 2 question the 10 and the 7 the a fraction and the 1 and two is a fraction

Determine the relationship (inverse, converse, contrapositive, biconditional) of the following statements to the given
statement below
If it does not rain this Saturday, we will go fishing.
_________________________8) If it rains this Saturday, then we will not go fishing.
_________________________9) If we go fishing, then it won’t be raining on Saturday.
_________________________10) If we don’t go fishing on Saturday, then it will be raining.
_________________________11) We will go fishing on Saturday if it does not rain.

Answers

Answer:

Ummmmmmmmmm

Step-by-step explanation:

Consider the figure to complete the statement.

1) Angle DAM is
a. 125 degrees
b. 55 degrees
c. 60 degrees

2) ...which means it is a(n)
a. acute angle.
b. obtuse angle.
c. right angle.
d. straight angle.

Answers

Answer: 55 degrees / Acute angle.

Step-by-step explanation:

The angle is less than a right angle, bent forward so it's less than 90 degrees, meaning it's an acute angle.

Explain how to create an equation with infinitely many solutions

Answers

Answer:

You can start with any statement in the form a = a. Then add the same variable term to both sides, and add the same constant term to both sides. Combine like terms on each side.

Step-by-step explanation:

i got this online i hope it helps

Answer:

Start with a statement in the form a = a. Add the same variable term to both sides. Add the same constant term to both sides. Combine like terms on each side.

the difference of eight and twice a number

Answers

Answer:

8-2x

Step-by-step explanation:

PLS HELP ME ASAP!! THIS IS DUE IN FIVE MINUTES!! (100 POINTS IF YOU ANSWER IT)

Answers

Answer:

i think B

Step-by-step explanation:

There where 6 karens.2 of them whanted to speek to the manger.There where 2 mangers and 1 of te mangers was out sick how many karens and mangers are in the store?[tex]6+1=[/tex]

Answers

7 I think because of your last remark

PLEASE HELP ! ALGABRA 1

Answers

Answer: No solutions (C)

Explanation: The two lines have the same slope but different Y intercept this means they will increase/decrease at the same rate but since they start at different locations on a graph, they will never touch making it parallel

15) An electrician charges $15 per service call plus $25 an hour. The total bill for a recent job was $90. How
many hours did the electrician work?

Answers

Answer: 3 hours

Step-by-step explanation:

25 x 3 = 75

90 - 75 = 15 ( aka 1 service call)

Hope this helps!

Answer:

3 hours

Step-by-step explanation:

$25(3 hours)=$75

$75+$15=$90

what is the distance between the two points A(6,-2) and B(-2,4)

Answers

Answer:

[tex]d = 10[/tex]

Step-by-step explanation:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(-2-6)^2+(4-(-2))^2}[/tex]

[tex]d = \sqrt{(-8)^2+(4+2)^2}[/tex]

[tex]d = \sqrt{64+(6)^2}[/tex]

[tex]d = \sqrt{64+36}[/tex]

[tex]d = \sqrt{100}[/tex]

[tex]d = 10[/tex]

Answer:

10 units

Step-by-step explanation:

( x1, y1) =A(6,-2)

(x2, y2) =B(-2,4)

Using distance formula,

AB ^2 = (x2-x1) ^2 +(y2-y1) ^2

=(-2-6)^2 +(4+2)^2

=64+36

=100

Therefore, AB=10 units

(-2) (-3) (-4) please help ASAP

Answers

Here is what I got for this problem
The answer is -24 ..............

Find the total amount given the original price, tax rate and tip rate. Round to the nearest hundredth if necessary.

Original price: $101.33

Tax rate: 6.7%

Tip: 18%

Enter the correct answer in the box.

Answers

hopefully this help

look up original price calculator if not..

Compare using , or =.

8 x 103 ___ 9 × 100

Answers

[tex]8 \times 103 < 9 \times 100[/tex]

This is because :-

[tex] = 8 \times 103[/tex]

[tex] = 824[/tex]

is smaller than :-

[tex] = 9 \times 100[/tex]

[tex] = 900[/tex]

As , 824 < 900

Therefore , the correct answer is :-

8 × 103 < 9 × 100

Answer:

9 time 100 is the right answer

Step-by-step explanation:

What is the solution to the equation
13 3/4 + x = 7 1/4

Answers

Your solution is x=-13/2.

Choose the best graph that represents the linear equation:
X = -3

Answers

this is how the graph should look like

using the pattern rule find the missing value in the table​

Answers

Answer:

7

Step-by-step explanation:

1+3=4

2+3=5

3+3=6

4+3=7

The number of words Gabriel can type varies directly with time. Gabriel can type 90 words in 65 seconds. Which equation can be used to find w, the number of w Gabriel can type at this rute in 125 seconds?
w = 90/65 (125)
w = 90(125)/125
w = 125/ 90/ (65)
w = 65/90 (125)​

Answers

Answer:

w = 90/65 (125)

Step-by-step explanation:

Since you are trying to find how much Gabriel can type in 125 seconds, you have to find how much he can type in 1 second. Then you can multiply by 125 to get your answer!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Delicious Doing caterers events at a flat rate $500 plus $100 per hour after the first 2 hours. Cathy's Catering has a flat rate of $620 per event plus $70 per hour after the first three hours. What is the most amount of hours you could hire Cathy's Catering for and it cost less than Delicious Doings? Write an inequality that could be used to solve this problem

Answers

Answer:

3 hours

Step-by-step explanation:

Let the number of hours worked = x

Delicious Doing caterers events at a flat rate $500 plus $100 per hour after the first 2 hours.

$500 + $100 × x

500 + 100 × 1

After the first 2 hours = $500 + $100

= $600

After the first 3 hours = $500 + $100 × 2

= $700

Cathy's Catering has a flat rate of $620 per event plus $70 per hour after the first three hours.

$620 + $70 × x

620 + 70x

After the first 3 hours

= $600 + $70

= $670

What is the most amount of hours you could hire Cathy's Catering for and it cost less than Delicious Doings?

The Inequality is given as:

Cathy's Catering for < Delicious Doings

620 + 70x < 500 + 100x

Collect like terms

620 - 500 < 100x - 70x

120 < 30x

120/30 < x

4 < x

Therefore, the most amount of hours the most amount of hours you could hire Cathy's Catering for and it cost less than Delicious Doings is 3 hours

Find the range of the function.

Answers

Answer:

equation of the line passing through two points

we can chose two points from the graph

I took (5,0) and (0,5)

x-x1/x2-x1=y-y1/y2-y1

x-5/0-5=y-0/5-0

(x-5)*5=y*(-5)

x-5=-y

y+x=5

Step-by-step explanation:

range of the function is [- infinite, infinite]

if x is determined as R number then even range of the function will be R ,real numbers.

Julio, Kira, and Ida each want to buy art supplies. Julio wants to spend between $6 and $7. Kira wants to spend between $4 and $6. Ida wants to spend between $8 and $9. Drag items to the box under each person's name to show what they could have bought. Julio, Kira, and Ida each want to buy art supplies. Julio wants to spend between $6 and $7. Kira wants to spend between $4 and $6. Ida wants to spend between $8 and $9. Drag items to the box under each person's name to show what they could have bought.

Answers

Answer: image below is the answer

Step-by-step explanation:

Suppose Julio started with a drawing pad and a pencil.

$1.80 + $1.20 = $3.00  <  $1.86 + $1.23  <  $2.00 + $1.50 = $3.50

Double these supplies will cost between 2 × $3.00 and 2 × $3.50.

Suppose Kira started with 2 pencils.

2 x $1.23 = $2.46

Think about more items Kira could buy so that her total cost is more than $4 but less than $6.

Suppose Ida started with 1 drawing pad and 2 pencils.

$1.80 + ($1.10 x 2) = $4.00  <  $1.86 + ($1.23 x 2)  <  $2.00 + ($1.25 x 2) = $4.50

Think about more items Ida could buy so that her total cost is more than $8 but less than $9.

Answer

Julio: $6 - $7

one paintbrush

two drawing pads

Kira: $4 - $6

two pencils

one drawing pad

Ida: $8 - $9

two pencils

three drawing pads

Please, thank you so much!

Answers

Answer:

y = 2x

Step-by-step explanation:

Coordinates:

(1, 2)

(0, 0)

Slope = 2/1 = 2

y = mx + b

2 = 1 * 2 + b

2 = 2 + b

b = 0

So:

y = 2x

Hope this helped!

Let me know if I've done something wrong :)

WHICH ONE DOESN'T BELONG? Which number does not belong
with the other three? Explain.

Answers

The answer is 10x9.2^-13

This is because it is not properly in scientific notation. Scientific notation should only go up to the 1s place and this goes to the tenth. Also it should be 10^x not 9.2. Basically the 10 and 9.2 are in the wrong order. If they were flipped it’d be correct

Select the equivalent expression for the following: 12^3 * 12^9 * 12^4 * 12^2
a:
12^18
b:
12^216
c:
20,736^18
d:
2.66 *10^19

Answers

it’s a because if ur multiplying exponents with the same base (in this case 12) u add the exponents

9514 1404 393

Answer:

  a:  12^18

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

__

All of the bases are the same in this expression, so the exponents add:

  12^3 * 12^9 * 12^4 * 12^2 = 12^(3+9+4+2) = 12^18 . . . . matches choice A

Priscilla can make 3 bracelets in 16 minutes. At this rate, how many bracelets can she make in 48 minutes?

Answers

Answer:

She can make nine bracelets! Hope this helps :)

Answer:

9

Step-by-step explanation:

3    |    16

6    |    32

9    |    48

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