Hi there!
The answer is C.
14 × 32 = (4 × 32) + (10 × 32) = 128 + 320 = 448
In the first step we splitted 14 up into two different parts that are easily multipliable. These two parts are 4 and 10. She must multiply 32 first by 4 and then we must multiply 32 by 10. This way we multiplied it a total of 14 times, just as we should.
14 × 32 = (4 × 32) + (10 × 32)
Answer:
(1, 4)
Step-by-step explanation:
5x-2y=-3 -2x-y=-6 =>
5x-2y=-3
-2x-y=-6 Multiply all three terms by -2: 4x + 2y = 12
Then we have:
5x-2y=-3
4x + 2y = 12
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9x = 9 and so x = 1. Then, using -2x - y = -6, and substituting 1 for x:
-2(1) - y = -6, or
2 + y = 6, or
y = 4
Then the solution is (1, 4)
Answer:
60 boys are in the grade.
Step-by-step explanation: Since there are 150 students, we can divide that number by the combined ratio, which in this case is 5. Dividing 150 by 5 would yield 30 students. We can use this information to multiply the given number of boys in the ratio by 30, which would produce 60.
A. The term "units" refers to the measurements in the original question or problem. When looking at the question, the units we are measuring are dollars/feet.
B. In this case, the f'(x) means we are looking for the cost (in dollars) to drill the next foot down.
C. Since the cost increases the more feet we drill down, the sign of f'(x) is positive.
$4/8 = $0.5 per box
take the total cost and divide by total # of juice boxes
