Answer: 11,544 pieces of candy are made per hour.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>Gallons of corn syrup used: 8
</em>
- <em>Pieces of candy produced: 1,776
</em>
- <em>gallons of corn syrup per hour: 52
</em>
If we apply proportions:
8 /1,776 = 52/x
Where x is the pieces of candy made per hour.
Solving
x = 52x1, 776 /8
x = 11,544
11,544 pieces of candy are made per hour.
Well there can be two different solutions for this but i will choose the easier one. Obviously one requires a system of equations which obviously will involve a lot of thinking and some good algebra solving in order for them to solve.
So we can just keep adding the distance as we know they are in different directions. 49 + 65 = 114. So 114 * 4.5 = 513 miles. SO after around 4.5 hours they will be 513 miles apart.
I think the answer is : x = -5.25
Answer:
Basically, when a scientific calculator displays a number as aEb, it means to move the decimal point in a as follows:
If b is positive, move the decimal point b units to the right.
If b is negative, move the decimal point b units to the left.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Given
In 1990; Income= $39000
In 2010; Income= $70768
Solving (a): An equation in form of f(x) = ax + b
First, we need to determine the slope, a

Taking y as income and x as year index.
When x = 0; y = 39000
When x = 20; y = 70768
Substitute these values in the above formula



Next, is to determine the formula using:

<em>Considering :When x = 0; y = 39000, we have</em>
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<em />
<em />
<em />
<em>Make y the subject of formula</em>
<em />
<em />
<em />
<em>Express y as a function of x</em>
<em />
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Solving (b): Income in 2005
<em>In 2005, x = 15</em>
So:
becomes

