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## One month Henry rented 3 movies and 8 video games for a total of \$58 . The next month he rented 5 movies and 2 video games for a total of \$23 . Find the rental cost for each movie and each video game. Rental cost for eachmovie:\$___ Rental costfor each video game:\$____

Henry rented 3 movies and 8 video games for a total of \$58
3m + 8v= \$58
The next month he rented 5 movies and 2 video games for a total of \$23.
5m + 2v = \$23.

Grab an equation and solve it for one of the variables:
3m + 8v= \$58
3m=58-8v
m=19.333-2.6666v

Then sub that result in for the variable in the other equation:
5(19.333-2.666666v )+ 2v = \$23.
96.666 – 13.333v + 2v = \$23.
96.666 – 11.333v = \$23.
-11.333v = \$23-96.666
-11.333v = -73.666
v=6.50

Now sub back in v in one of the equations:
5m + 2v = \$23.
5m + 2(6.50) = \$23.
5m+13 = 23
5m=10
m=2

The video games cost \$6.50 and the Movies cost \$2.00.

3(\$2.00) + 8(\$6.50) = \$58
5(\$2.00) + 2(\$6.50) = \$23.

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## Your friends invite you to go bowling with them. The bowling alley provides bowling balls free of charge, but you'll need to rent special shoes. You'll also have to pay for each game of bowl. You and your friends want to bowl 2 games. Write a formula that will help you determine your total cost. Let's let S=shoe rental G=cost of each game C=total cost

Your friends invite you to go bowling with them. The bowling alley provides bowling balls free of charge, but you’ll need to rent special shoes. You’ll also have to pay for each game of bowl. You and your friends want to bowl 2 games. Write a formula that will help you determine your total cost. Let’s let S=shoe rental G=cost of each game C=total cost

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## One month Linda rented 3 movies and 5 video games for a total of \$38 . The next month she rented 6 movies and 2 video games for a total of \$26 . Find the rental cost for each movie and each video game. Rentalcostforeachmovie:\$ Rentalcostforeachvideogame:\$ One month Linda rented 3 movies and 5 video games for a total of \$38 . The next month she rented 6 movies and 2 video games for a total of \$26 . Find the rental cost for each movie and each video game. Rentalcostforeachmovie:\$ Rentalcostforeachvideogame:\$

X=cost of movie
y=cost of game

3x+5y=38
6x+2y=26

we can eliminate x’s
times firs equation by -2 and add to 2nd

-6x-10y=-76
6x+2y=26 +
0x-8y=-30

-8y=-50
divide both sides by -8
y=6.25

sub back

3x+5y=38
3x+5(6.25)=38
3x+31.25=38
3x=6.75
divide both sides by 3
x=2.25

each movie costs \$2.25 to rent
each game costs \$6.25 to rent

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## A party rental company has chairs and tables for rent. The total cost to rent 4 chairs and 8 tables is \$89 . The total cost to rent 2 chairs and 3 tables is \$34 . What is the cost to rent each chair and each table? Costtorenteachchair:\$ Costtorenteachtable:\$ i might jsut ask this and leave…unless theres another..

Let C = cost to rent each chairLet T = cost to rent each table 4C + 8T = 732C + 3T = 28 Multiply the 2nd equation by (-2) and then add the equations together   4C + 8T = 73-4C – 6T = -56 2T = 17T = 17/2 = 8.5 Plug this in to the 1st equation to solve for C 4C + 8(17/2) = 734C + 68 = 734C = 5C = 5/4 = 1.25 So the cost to rent each chair is \$1.25 and the cost to rent each table is \$8.50

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## A party rental company has chairs and tables for rent. The total cost to rent 4 chairs and 8 tables is \$89 . The total cost to rent 2 chairs and 3 tables is \$34 . What is the cost to rent each chair and each table? Costtorenteachchair:\$ Costtorenteachtable:\$

A party rental company has chairs and tables for rent. The total cost to rent 4 chairs and 8 tables is \$89 . The total cost to rent 2 chairs and 3 tables is \$34 . What is the cost to rent each chair and each table? Costtorenteachchair:\$ Costtorenteachtable:\$

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## Austin is comparing the prices of two truck rental companies. Company a charges \$4 per hour and an additional \$70 as service charges. Company b charges \$5 per hour and an additional \$60 as service charges. Part a: write and equation to represent each conpanys total charges for renting a truck for a certain number of hours. For both equations( one for company a and one for company b ), define the variable used. Part b: which company would charge less for renting a truck for 6 hours? Justify your answer. Part c: how much money is saved by using the services of company b instead of company a to rent a truck for 7 hours?

Company a: 70 plus 4 times (how many hours)
company b: 60\$ plus 5 times (how many hours)
PART A 70+four(x)  B 60+5x
THE VARIABLE REPRESENTS THE HOURS THE TRUCK WAS RENTED
PART B company a charges 9four dollars to rent the truck
company b charges 90 dollars to rent the truck
PART C: you would have to solve the equation like this to find PART C
A: 70+four(7)=98 B: 60+5(7)=95
so the answer for part c would be he saved 3 dollars

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## Car rental in Thailand cost \$35 per day when booked in advance. If rented locally you would be charged 1800 bahts per day. If the exchange rate is 40 bahts equals \$1 how much cheaper is it to book in advance

127=7 (mod n) means when 127 is divided by n, the division leaves a remainder of 7.

The statement is equivalent to
120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:
n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.
You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

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## PLEASE HELPMabel is comparing the prices of two car rental companies. Company A charges \$35 per day and an additional \$15 as service charges. Company B charges \$42 per day and an additional \$10 as service charges. Part A: Write an equation to represent each company’s total charges for renting a car for a certain number of days. For both equations (one for Company A and one for Company B), define the variable used. (4 points) Part B: Which company would charge less for renting a car for 6 days? Justify your answer. (3 points) Part C: How much money is saved by using the services of Company A instead of Company B to rent a car for 10 days? (3 points)

The polinomials only can have positive whole exponents, that is: 1, 2, 3, 4, 5, 6, … (you can include 0 also, because it iis the independent term).

So, if you are told that one term of the polynomial is 9 x ^ (negative something), it is necessary that the number after the negative sign be negative, given that negative times negative is positive.

Therefore, the only possible option from the answer choices is the option 3) -9.

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## Tom’s Ten Rental charges a flat rate of \$100 per day plus \$10 for each hour the tent is used. If the number of hours is represented by “h,” which algebraic expression represents the overall rate for the day using “h”?

False

Step-by-step explanation:

Suposse that we are given a function f(x) and a constant value h.

1. Case:

If we take the function g(x)=f(x)+h, then the graph of the function g(x) will be the graph of the funcion f(x) moved up or down.

2.Case:

If we take the function g(x)=hf(x), then the graph of the function g(x) will be the graph of the function f(x) just taller or shorter.

3.Case:

If we take the function g(x)=f(x-h), then the graph of the function g(x) will be the graph of the fuction f(x) moved horizontally.

4. Case:

If we take the function g(x)=f(hx), then the graph of the function g(x) will be tha graph of the function f(x) wither or thiner.

For example:

If we take f(x)=sin(x) and h=2. Then, if we take g(x)=sin(2x) then f(0)=g(0)=0, which means that the graph of the functiction is not moved up or down. However, f(π/2)=sin(π/2)=1 and g(π/2)=sin(π)=0 which gives us a hint that the graph of the function became thiner.

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## You are considering two activity packages while on vacation. One cost \$192 and includes 3 hours of horse back riding on the beach and 2 hours of jet ski rental. The second cost \$213 and includes 2 hours of horse back riding on the beach and 3 hours of jet ski rental. Select the system of linear equations that represents this scenario. Let h = cost of one hour of horseback riding and let j = cost of renting jet ski for one hour. (Answers below)

You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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## The fedâs three basic tools operate by adjusting interest rates (rental price of money) and the __________ of money.

The fedâs three basic tools operate by adjusting interest rates (rental price of money) and the __________ of money.

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## What is the rental cost, in dollars per square foot, that Anne pays for the art store’s space

x = 100

Step-by-step explanation:

The question is to determine which of the three values given is the one that corresponds to “x”.

The solution is found by solving the given equation,

6x + x + 50 = 750

7x + 50 = 750

Isolating “x”,

7x = 750 – 50

7x = 700

x = 700/7

x = 100

So the correct value of “x” is 100, which can be checked by substituting this value in the equation,

7x + 50 = 750

7 (100) + 50 = 750

700 + 50 = 750

750 = 750 equality is fulfilled.

On the other hand, equality is not met with the other two values,

Assuming x = 50

7x + 50 = 750

7 (50) + 50 = 750

350 + 50 = 750

400 = 750 equality is not met.

Assuming x = 150

7x + 50 = 750

7 (150) + 50 = 750

1050 + 50 = 750

1100 = 750 equality is not met.

The correct value is x = 100