Answer:
Part A: James needs 10 1/2 cups of sugar if he uses all 7 cups of flour
Part B: James will make 72 muffins if he uses all 7 cups of flour
Step-by-step explanation:
*I had an easier time figuring out part B before I figured out part A
PART B:
If the original recipe uses 2 1/3 cups of flour, and James has 7 cups of flour, I started off by dividing 7 by 2 1/3 to see how many times we can get 2 1/3 cups out of 7 cups. 7 divided by 2 1/3 = 3. Now that we know we can get 3 cups out of 2 1/3 cups, we need to multiply 3 by 24 to find out how many muffins James will get. 24 * 3 = 72
James will get 72 muffins by using 7 cups of flour.
PART A: Now we know that James is making 72 muffins. We need to find out how many cups of sugar James needs. To do that we can multiply 1 1/2 cups by 7. The product is 10 1/2 cups of sugar. Now we know that James needs 10 1/2 cups of flour if he uses all 7 cups of flour.
Hope this helps!!
Answer:
e will be the answer for sure of miles it happene d for the past hours he traveled in and how long
Answer:
If m is nonnegative (ie not allowed to be negative), then the answer is m^3
If m is allowed to be negative, then the answer is either |m^3| or |m|^3
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Explanation:
There are two ways to get this answer. The quickest is to simply divide the exponent 6 by 2 to get 6/2 = 3. This value of 3 is the final exponent over the base m. Why do we divide by 2? Because the square root is the same as having an exponent of 1/2 = 0.5, so
sqrt(m^6) = (m^6)^(1/2) = m^(6*1/2) = m^(6/2) = m^3
This assumes that m is nonnegative.
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A slightly longer method is to break up the square root into factors of m^2 each and then apply the rule that sqrt(x^2) = x, where x is nonnegative
sqrt(m^6) = sqrt(m^2*m^2*m^2)
sqrt(m^6) = sqrt(m^2)*sqrt(m^2)*sqrt(m^2)
sqrt(m^6) = m*m*m
sqrt(m^6) = m^3
where m is nonnegative
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If we allow m to be negative, then the final result would be either |m^3| or |m|^3.
The reason for the absolute value is to ensure that the expression m^3 is nonnegative. Keep in mind that m^6 is always nonnegative, so sqrt(m^6) is also always nonnegative. In order for sqrt(m^6) = m^3 to be true, the right side must be nonnegative.
Example: Let's say m = -2
m^6 = (-2)^6 = 64
sqrt(m^6) = sqrt(64) = 8
m^3 = (-2)^3 = -8
Without the absolute value, sqrt(m^6) = m^3 is false when m = -2
Answer: do 150ml*15 tubes is 2,250 ml
2,250/1000 is 2.25L (1L =1000ml is multiply by 1000)
