A system of equations is shown below: n = 3m + 7 n − 2m = 1 What is the solution, in the form (m, n), to the system of equations
2 answers:
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Answer:
When dimension of box is 33.33 inches × 33.33 inches ×8.33 then its volume is maximum and is 9259.26 cubic inches.
Step-by-step explanation:
Let h be the length (in inches) of the square corners that has been cut out from the cardboard and that would be the height of the cardboard box.
Since the squares have been cut from cardboard, both sides of the cardboard would reduce by 2h.
Thus, The dimension of box is (50 – 2h) × (50 – 2h) × h in dimensions.
The volume V of rectangular box = (Length × Breadth × Height) cubic inches.
..............(1)
Using
For obtaining a box of maximum volume, maximize V as a function of h.
Differentiate both sides with respect to h,
Solving quadratic equation,
For maximum,
thus,
⇒ or
Now check (1) for and
.
is not possible as when h is 25 inches then length and breadth becomes 0.
When .
(1) ⇒
This is the maximum volume the box can assume.
Thus, when dimension of box is 33.3 inches × 33.3 inches ×8.3 then its volume is maximum and is 9259.26 cubic inches.
Hi There!
Since there are 180 school days and Holly missed 7 then she attended
days.
So, to find out the percent of school days she attended school you have to divide 173/180, 173 represents school days she attended or numerator, and 180 represents total school days the denominator. Once you divide 173/180 you should get 0.<span>96111111111, but if you round it, the answer will be 96%.
Steps
1. Divide 173/180= 0.</span>96111111111<span>
2. Round you're answer 0.</span><span>96111111111
</span>
Final Answer- Holly attended 96% percent of school days.
Hope This Helps:)
Since there are 180 school days and Holly missed 7 then she attended
So, to find out the percent of school days she attended school you have to divide 173/180, 173 represents school days she attended or numerator, and 180 represents total school days the denominator. Once you divide 173/180 you should get 0.<span>96111111111, but if you round it, the answer will be 96%.
Steps
1. Divide 173/180= 0.</span>96111111111<span>
2. Round you're answer 0.</span><span>96111111111
</span>
Final Answer- Holly attended 96% percent of school days.
Hope This Helps:)
Answer:
Step-by-step explanation:
g(x) = 1/4(x - 4) (x - 8)
g(x) = 1/4(x^2 - 8x - 4x + 32)
g(x) = 1/4(x^2 - 12x + 32)
g(x) = 1/4x^2 - 3x + 8)