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kawaii266
12.07.2019 •
Mathematics
The state of maine encourages recycling by giving refunds for certain recycled items. when you recycle a glass bottle, you get back $0.05, when you recycle an aluminum can, you get back $0.10, and when you recycle a plastic bottle, you get back $0.15. part a: drinks in a glass bottle cost $2.00, drinks in an aluminum can cost $0.50, and drinks in a plastic bottle cost $1.50. you plan to purchase two of each. use the distributive property to write and expression that represents the amount of money you will spend. 15(20+l) 525 feet algebranation.com part b: you plan to recycle all of the items you purchased. use the distributive property to write an expression to represent the amount of refund you will receive. part c: after receiving the refund, how much was your net cost for the items. hint: net cost is equal to the total cost minus the amount of your refund.
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Ответ:
Given that cost of 1 drinks in a glass bottle = $2.00
Given that cost of 1 drinks in an aluminum can = $0.50
Given that cost of 1 drinks in a plastic bottle = $1.50
Then sum of costs of 1 drink from each will be = 2.00+0.50+1.50
Given that you buy two of each then total cost will be given by 2(2.00+0.50+1.50)
Hence expression that represents the amount of money you will spend is 2(2.00+0.50+1.50).
Using distributive property, we can rewrite it as:
2(2.00+0.50+1.50)=2*2.00+2*0.50+2*1.50
This is final answer of part A.
Given that refund on 1 drinks in a glass bottle = $0.05
Given that refund on 1 drinks in an aluminum can = $0.10
Given that refund on 1 drinks in a plastic bottle = $0.15
Then sum of refunds on 1 drink from each will be = 0.05+0.10+0.15
Given that you plan to recycle all of the items you purchased then total refund will be given by 2(0.05+0.10+0.15)
Hence expression to represent the amount of refund you will receive is 2(0.05+0.10+0.15).
Using distributive property, we can rewrite it as:
2(0.05+0.10+0.15)=2*0.05+2*0.10+2*0.15
This is final answer of part B.
Net cost is given by difference of total cost and total refund
Net cost = 2(2.00+0.50+1.50) - 2(0.05+0.10+0.15)
= 2*2.00+2*0.50+2*1.50 - (2*0.05+2*0.10+2*0.15)
= 4+1+3 - (0.10+0.20+0.30)
= 8 - 0.60
= 7.40
Hence net cost is $7.40
Ответ: