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200,000 + 80,000 + 3,000 + 900 + 80
Answer:
1. c = 13
2. a = 20
Step-by-step explanation:
1. 12² + 5² = x²
144 + 25 = x
144 + 25 = 169
√169 = 13
2. 29² - 21² = x²
841 - 441 = x
841 - 441 = 400
√400 = 20
Answer:
d. 3/2r+2c ≤ 10
Step-by-step explanation:
The amount of flour Molly needs for r batches of oatmeal raisin cookies is ...
3/2r
The amount of flour Molly needs for c batches of chocolate chip cookies is ...
2c
The total amount of flour Molly can use for cookies cannot exceed the amount available, so ...
3/2r + 2c ≤ 10
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<em>Comment on the question</em>
The wording is a bit odd. It asks for the amount of flour available—after it tells you the amount available is 10 cups. (I might write that as <em>f ≤ 10</em>.) The answer choices clearly suggest that what is wanted is a representation of the possible mix of batches of cookies for which Molly could use the available flour. IMO, this is another instance of poor editing of math problem wording.
To find f(-20), first figure out which piece x = -20 fits with.
Since -20 < -12, x = -20 first in the domain used by the third piece.
For f(-20), treat this function as if it was just f(x) = 3x-7.
f(-20) = 3(-20) -7
= -60 - 7
= -67
