The cafeteria wants to buy 4,500 new forks. If each package contains 90 forks, how many packages should the cafeteria buy?
1 answer:
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Answer:
The number of calories in 5.5 cups are <u>495</u>.
Step-by-step explanation:
Given:
You buy milk that contains 180 calories per 2 cups.
Now, to find the number of calories in 5.5 cups.
Let the number of calories in 5.5 cups be
As, in 2 cups there are 180 calories.
2 cups is equivalent to 180 calories.
Thus, the ratio would be
So, in 5.5 cups there are calories.
5.5 cups is equivalent to calories.
Thus, the ratio would be
Now, we set proportion to get the number of calories in 5.5 cups:
<em>By cross multiplying we get:</em>
<em>Dividing both sides by 2 we get:</em>
.
Therefore, the number of calories in 5.5 cups are 495.
Answer:
--- Objective function
Interval =
Step-by-step explanation:
Given
Represent the number with x
The required sum can be represented as:
Hence, the objective function is:
To get the the interval, we start by differentiating w.r.t x
<em>Using first principle, this gives:</em>
Equate S'(x) to 0 in order to solve for x
Subtract 1 from both sides
Multiply both sides by -1
Cross Multiply
Take positive square root of both sides because x is positive
Representing x using interval notation, we have
Interval =
To get the smallest sum, we substitute 1 for x in
<em>Hence, the smallest sum is 2</em>