Answer:
2.67 inches.
Step-by-step explanation:
Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).
The formula for a rectangular box = L × B × W
= (23 -2y)(13-2y) (y)
= (299 - 46y - 26y + 4y²)y
= 299y - 72y² + 4y³
Now for the maximum volume:
dV/dy = 0
This implies that:
299y - 72y² + 4y³ = 299 - 144y + 12y² = 0
By using the quadratic formula; we have :
where;
a = 12; b = -144 and c = 299
Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33
Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.
Answer:
7x + 5y ≥ 400
Step-by-step explanation:
Given:
Swimming burns = 7 calories per minute
Yoga burns = 5 calories per minute
At least calories burn = 400
Total minutes of swimming = x
Total minutes of yoga = y
Find:
Inequality
Computation:
7 calories per minute(Total minutes of swimming) + 5 (Total minutes of yoga) ≥ 400
7x + 5y ≥ 400
Answer:
$7.35
Step-by-step explanation:
To find the answer to this question, you would need to multiply 15 times .49 which would equal 7.35
Answer:
It’s going to be 10/15 he answered correctly.
Step-by-step explanation:
It’s 10/15
If you want to know a easy way to find the answer for some cases, questions you can subtract it the whole number of questions, and you just do 15 - 5 = 10
So he got 10 questions right out of 15.
Answer:
The answer is
X=1
Y=1
Step-by-step explanation:
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