Answer:
97
Step-by-step explanation:
Round each number to the nearest whole number (the digit directly left to the decimal point.) Note that if the digit to the right of the decimal point is 5 or greater, round up; if it is 4 or lower, round down:
63.730 rounded to the nearest one is 64.
32.73 rounded to the nearest one is 33.
Add:
64 + 33 = 97
97 is your answer.
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Let the actor's initial weight be 'x'
He is then gaining 20 pounds. The clue is in the word 'gaining' as it means 'increasing' or in Mathematics can be related as 'plus'
The expression is: x+20
He then loses 15 pounds. The clue is in the word 'losses' as it means 15 pounds is to be subtracted from the last value
Last value is x + 20
The weight now is x + 20 - 15 = x + 5
Hi there!
So, to start you have to convert cups into ounces.
1 cup is 8 fluid ounces, so 3 cups are 8*3 which are 24 fluid ounces.
So, if she filled x amount of 2-ounce containers, then it would be 24/2 which are 12 containers that are full.
The answer is C) 12.
Hope it helps!
Answer:
The objective function in terms of one number, x is
S(x) = 4x + (12/x)
The values of x and y that minimum the sum are √3 and 4√3 respectively.
Step-by-step explanation:
Two positive numbers, x and y
x × y = 12
xy = 12
S(x,y) = 4x + y
We plan to minimize the sum subject to the constraint (xy = 12)
We can make y the subject of formula in the constraint equation
y = (12/x)
Substituting into the objective function,
S(x,y) = 4x + y
S(x) = 4x + (12/x)
We can then find the minimum.
At minimum point, (dS/dx) = 0 and (d²S/dx²) > 0
(dS/dx) = 4 - (12/x²) = 0
4 - (12/x²) = 0
(12/x²) = 4
4x² = 12
x = √3
y = 12/√3 = 4√3
To just check if this point is truly a minimum
(d²S/dx²) = (24/x³) = (8/√3) > 0 (minimum point)
