3-79 a and b and that 1 cylinder and 8 prisms weigh 35 ounces. Write and solve a system of equations to determine the weight ofBeatrice is weighing combinations of geometric solids. She found that 4 cylinders and 5 prisms weigh 32 ounceseanFatema Albeal: -6-Pd.4thue Quar ofCogchLesson 3.3: Applications of Systems3-60.each cylinder and prism.x+54-32X +8y=3532+27y=14027y=108 1=4X= 32-5(")32-5Y +84=354X 159-3232-54732y= 35%3D4X=32-5Y32-5432-274.=32-2O=35x.3-79.Daniela, Kieu, and Duyen decide to go to the movies one hot summer afternoon. The theater is having a summerspecial called Three Go Free. They will get free movie tickets if they each buy a large popcorn and a large soft drink.They take the deal and spend a total of $22.50 on large popcorns and soft drinks. The next week, they go backagain, only this time, they each pay $8.00 for a ticket, they each get a large soft drink, but they share one largebucket of popcorn. This return trip costs them a total of $37.50.a. What is the price of a large soft drink and the price ofa large bucket of popcorn?b. Did you write two equations or did you use anothermethod? If you used another method, write twoequations now and solve them. If you already used asystem of equations, skip this part.3-98.Your family plans to buy a new air conditioner. They can buy the Super Cool X1400 for $800, or they can buy theEfficient Energy X2000 for $1200. Both models will cool your home equally well, but the Efficient Energy model isless expensive to operate. The Super Cool X1400 will cost $60 per month to operate, while the Efficient EnergyX2000 costs only $40 per month to operate.a. Write an equation to represent the cost of buying andoperating the Super Cool X1400 where C= costand m= months.b. Write an equation to represent the cost of buying andoperating the Efficient Energy X2000.Cis rostandmis Manth of SufercooX146 S Costand mis mantuof EFFEneigy X 2000 tran equation wlhThen equation will be(=60M +300(=404+120oC. How many months would your family have to use theEfficient Energy model to compensate for the additionalcost of the original purchase?(-800+60md. Figuring your family will only use the air conditionerfor four months each year, how many years will youhave to wait to start saving money overall?air CunditieneFarmily usezoman meinaw Conel 4X59-324X=32-5Y32-Sy+32y33 X= 32-5()%3D4.と、32-2O32-5732-274-353-79.Daniela, Kieu, and Duyen decide to go to the movies one hot summer afternoon. The theater is having a summerspecial called Three Go Free. They will get free movie tickets if they each buy a large popcorn and a large soft drink.They take the deal and spend a total of $22.50 on large popcorns and soft drinks. The next week, they go backagain, only this time, they each pay $8.00 for a ticket, they each get a large soft drink, but they share one largebucket of popcorn. This return trip costs them a total of $37.50.a. What is the price of a large soft drink and the price ofa large bucket of popcorn?b. Did you write two equations or did you use anothermethod? If you used another method, write twoequations now and solve them. If you already used asystem of equations, skip this part.3-98.Your family plans to buy a new air conditioner. They can buy the Super Cool X1400 for $800, or they can buy theEfficient Energy X2000 for $1200. Both models will cool your home equally well, but the Efficient Energy model isless expensive to operate. The Super Cool X1400 will cost $60 per month to operate, while the Efficient EnergyX2000 costs only $40 per month to operate.a. Write an equation to represent the cost of buying andpperating the Super Cool X1400 where C= costand m= months.b. Write an equation to represent the cost of buying andoperating the Efficient Energy X2000.(S Costand M i3 Mortu of EFEEnergy X 2000Mis Manth of gupercookIMctran equation wil

Name: 3-79 a and b and that 1 cylinder and 8 prisms weigh 35 ounces. Write a
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Description: 3-79 a and b and that 1 cylinder and 8 prisms weigh 35 ounces. Write and solve a system of equations to determine the weight ofBeatrice is weighing combinations of geometric solids. She found that 4 cylinders and 5 prisms weigh 32 ounceseanFatema Alb

let the cost of one large popcorn =$P the cost of one large soft drink = $d a) answers is p =…

Math

Algebra

3-79. Daniela, Kieu, and Duyen decide to go to the movies one hot summer afternoon. The theater is having a summer special called Three Go Free. They will get free movie tickets if they each buy a large popcorn and a large soft drink. They take the deal and spend a total of $22.50 on large popcorns and soft drinks. The next week, they go back again, only this time, they each pay $8.00 for a ticket, they each get a large soft drink, but they share one large bucket of popcorn. This return trip costs them a total of $37.50. a. What is the price of a large soft drink and the price of a large bucket of popcorn? b. Did you write two equations or did you use another method? If you used another method, write two equations now and solve them. If you already used a system of equations, skip this part.

3-79. Daniela, Kieu, and Duyen decide to go to the movies one hot summer afternoon. The theater is having a summer special called Three Go Free. They will get free movie tickets if they each buy a large popcorn and a large soft drink. They take the deal and spend a total of $22.50 on large popcorns and soft drinks. The next week, they go back again, only this time, they each pay $8.00 for a ticket, they each get a large soft drink, but they share one large bucket of popcorn. This return trip costs them a total of $37.50. a. What is the price of a large soft drink and the price of a large bucket of popcorn? b. Did you write two equations or did you use another method? If you used another method, write two equations now and solve them. If you already used a system of equations, skip this part.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

Topic Video

Question

3-79 a and b

and that 1 cylinder and 8 prisms weigh 35 ounces. Write and solve a system of equations to determine the weight of
Beatrice is weighing combinations of geometric solids. She found that 4 cylinders and 5 prisms weigh 32 ounces
ean
Fatema Albeal: -6-
Pd.4th
ue Quar of
Cogch
Lesson 3.3: Applications of Systems
3-60.
each cylinder and prism.
x+54-32
X +8y=35
32+27y=140
27y=108 1=4
X= 32-5(")
32-5Y +84=35
4X 159-32
32-54732y= 35
%3D
4X=32-5Y
32-54
32-274.
=32-2O
=35
x.
3-79.
Daniela, Kieu, and Duyen decide to go to the movies one hot summer afternoon. The theater is having a summer
special called Three Go Free. They will get free movie tickets if they each buy a large popcorn and a large soft drink.
They take the deal and spend a total of $22.50 on large popcorns and soft drinks. The next week, they go back
again, only this time, they each pay $8.00 for a ticket, they each get a large soft drink, but they share one large
bucket of popcorn. This return trip costs them a total of $37.50.
a. What is the price of a large soft drink and the price of
a large bucket of popcorn?
b. Did you write two equations or did you use another
method? If you used another method, write two
equations now and solve them. If you already used a
system of equations, skip this part.
3-98.
Your family plans to buy a new air conditioner. They can buy the Super Cool X1400 for $800, or they can buy the
Efficient Energy X2000 for $1200. Both models will cool your home equally well, but the Efficient Energy model is
less expensive to operate. The Super Cool X1400 will cost $60 per month to operate, while the Efficient Energy
X2000 costs only $40 per month to operate.
a. Write an equation to represent the cost of buying and
operating the Super Cool X1400 where C= cost
and m= months.
b. Write an equation to represent the cost of buying and
operating the Efficient Energy X2000.
Cis rostandmis Manth of SufercooX146 S Costand mis mantuof EFF
Eneigy X 2000 tran equation wlh
Then equation will be
(=60M +300
(=404+120o
C. How many months would your family have to use the
Efficient Energy model to compensate for the additional
cost of the original purchase?
(-800+60m
d. Figuring your family will only use the air conditioner
for four months each year, how many years will you
have to wait to start saving money overall?
air Cunditiene
Farmily use
zoman me
in
aw Conel

4X59-32
4X=32-5Y
32-Sy+32y33 X= 32-5()
%3D
4.
と、32-2O
32-57
32-274
-35
3-79.
Daniela, Kieu, and Duyen decide to go to the movies one hot summer afternoon. The theater is having a summer
special called Three Go Free. They will get free movie tickets if they each buy a large popcorn and a large soft drink.
They take the deal and spend a total of $22.50 on large popcorns and soft drinks. The next week, they go back
again, only this time, they each pay $8.00 for a ticket, they each get a large soft drink, but they share one large
bucket of popcorn. This return trip costs them a total of $37.50.
a. What is the price of a large soft drink and the price of
a large bucket of popcorn?
b. Did you write two equations or did you use another
method? If you used another method, write two
equations now and solve them. If you already used a
system of equations, skip this part.
3-98.
Your family plans to buy a new air conditioner. They can buy the Super Cool X1400 for $800, or they can buy the
Efficient Energy X2000 for $1200. Both models will cool your home equally well, but the Efficient Energy model is
less expensive to operate. The Super Cool X1400 will cost $60 per month to operate, while the Efficient Energy
X2000 costs only $40 per month to operate.
a. Write an equation to represent the cost of buying and
pperating the Super Cool X1400 where C= cost
and m= months.
b. Write an equation to represent the cost of buying and
operating the Efficient Energy X2000.
(S Costand M i3 Mortu of EFE
Energy X 2000
Mis Manth of gupercookIMc
tran equation wil

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