Let W = width of package
Let H = height of package
Let L = length of package
The perimeter cab be one of the following:
P = 2(L + W), or
P = 2(L + H)
The perimeter of the cross section cannot exceed 108 in.
When the width is 10 in, then
2(L + 10) <= 108
L + 10 <= 54
L <= 44 in
When the height is 15 in, then
2(L + 15) <= 108
L + 15 <= 54
L <= 39 in
To satisfy both of these conditions requires that L <= 39 in.
Answer: 39 inches
The simplified expression of 4x + 5xy - 2y is 4x(1 + y) + y(x - 2)
<h3>How to solve the expression?</h3>
The expression is given as:
4x + 5xy - 2y
The above expression cannot be solved.
However, the expression can be grouped
So, we have:
4x + 5xy - 2y
Rewrite 5xy as 4xy + xy
So, we have:
4x + 5xy - 2y = 4x + 4xy + xy - 2y
Factorize the expression
4x + 5xy - 2y = 4x(1 + y) + y(x - 2)
Hence, the simplified expression of 4x + 5xy - 2y is 4x(1 + y) + y(x - 2)
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Answer:
Below
Step-by-step explanation:
900 + 20 + 5
So, 6 x 900 + 6 x 20 + 6 x 5
6 x 925 = (6 x 900) + (6 x 20) + (6 x 5)
= 5400 + 120 + 30
= 5550
You had gotten it right before you erased it.
Answer:
The correct option is;
30 caramel popcorn bags and 80 cheddar popcorn bags
Step-by-step explanation:
From the graph of the number cheddar popcorn, Y to the number of the caramel popcorn, X, the shaded region of the graph which is the feasible region has a solution at the value Y = 80 and X = 30 and another at the value Y = 40 and X = 90
Therefore, when the team makes 80 bags of cheddar popcorn and 30 bags of caramel popcorn, we have;
2.5 × 80 + 1 × 30 = $230
When the team makes 40 bags of cheddar popcorn and 90 bags of caramel popcorn, we have;
2.5 × 40 + 1 × 90 = $190
Therefore, the team should make 30 caramel popcorn bags and 80 cheddar popcorn bags.