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saul85 [17]
3 years ago
9

6. How could you check the answer to 27-15 12 using addition?A. 27 15 12B. 27 12 15C. 12 15 27D. 15-12 277. Which of the followi

ng uses estimation to check 267 -154 113?A. 300 200 100B. 113 154 267C. 270 150 120D. 300 150 1508. Subtract the quotient of 18 and 2 from the sum of 22 and 9.A. 5B. 23C.4D. 22LPFU

Mathematics
1 answer:
Sedbober [7]3 years ago
6 0
27 - 15 = 12
Adding 15 to both sides, we have,
27 - 15 + 15 = 12 + 15
i.e. 27 = 12 + 15
Answer: C [12 + 15 = 27]

To calculate by estimation, round each number to the nearest ten, hundred, ets as the case may be.
Here, rounding to the nearest ten, we have,
267 - 154 = 270 - 150 = 120.
Answer: C

Quotient of 18 and 2 = 18/2 = 9
Sum of 22 and 9 = 22 + 9 = 31
Subtracting the quotient of 18 and 2 from the sum of 22 and 9, we have:
31 - 9 = 22
Answer: D
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Answer:

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

Step-by-step explanation:

<u>Function modeling</u>

Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.

The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is

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We also know that if he recycles more than 100 pounds of aluminum, the pay increases to $0.5 per pound. In that case, the amount of money is

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This is a case where the function is defined differently depending on the conditions of the input variable x. It's called a piecewise function. The function can be written as

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

Note the function is not well constructed because there is a gap for x=100 where M is not defined. If we establish that for 100 pounds the payment is $0.5, then the second piece would include x=100

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