Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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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.
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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
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Transcribed Image Text: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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Transcribed Image Text: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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