A retail store served 923 customers in October, and there were 45 complaints during that mo
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Answer:
88 score.
Step-by-step explanation:
Given:
To get a B in math, Alexandria Pappas must<u> average 80</u> on five tests.
Scores on the first four tests were <em>82, 74, 82, and 74.</em>
Question asked:
What is the lowest score that she can get on the last test and still get a B?
Solution:
Let lowest score she can get on the last test =
As we know:
By cross multiplication:-
Thus, she can get 88 score on the last test to get a B in math.
Answer:
Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box has largest volume.
Step-by-step explanation:
Given that,
A box is being created out of a 15 inches by 10 inches sheet of metal.
The length of the one side of the squares which are cut out of the each corners of the metal sheet be x.
The length of the metal box be = (15-2x) inches.
The width of the metal box be =(10-2x) inches
The height of the metal box be =x inches
Then, the volume of the metal box= length×width×height
=(15-2x)(10-2x)x cubic inches
=(150x-50x²+4x³) cubic inches
∴ V= 4x³-50x²+15x
Differentiating with respect to x
V'=12x²-100x+15
Again differentiating with respect to x
V''=24x-100
For maximum or minimum value, V'=0
12x²-100x+15=0
Apply quadratic formula , here a=12, b= -100 and c=15
For x= 8.18, The value of (15-2x) and (10-2x) will negative.
∴x=0.1528 .
Now,
∴At x=0.1528 inch, the volume of the metal box will be maximum.
Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box has largest volume.