The number of teaspoons of sugar that Mr. P. consumes is = 56.7 teaspoons.
<h3>Calculation of total sugar quantity</h3>
The total amount of cola taken is 8-ounce
To covert ounce to grams , the following is carried out;
1 ounce =28.35g
8 ounce = X
Xg = 8 × 28.35
X = 226.8g
But one teaspoon = 4 grams
X teaspoon = 226.8g
cross multiply to solve for x
X = 226.8g/ 4
X = 56.7 teaspoons
Therefore, the number of teaspoons of sugar that Mr. P. consumes is = 56.7 teaspoons.
Learn more about multiplication here:
brainly.com/question/10873737
1.8, Problem 37: A lidless cardboard box is to be made with a volume of 4 m3
. Find the
dimensions of the box that requires the least amount of cardboard.
Solution: If the dimensions of our box are x, y, and z, then we’re seeking to minimize
A(x, y, z) = xy + 2xz + 2yz subject to the constraint that xyz = 4. Our first step is to make
the first function a function of just 2 variables. From xyz = 4, we see z = 4/xy, and if we substitute
this into A(x, y, z), we obtain a new function A(x, y) = xy + 8/y + 8/x. Since we’re optimizing
something, we want to calculate the critical points, which occur when Ax = Ay = 0 or either Ax
or Ay is undefined. If Ax or Ay is undefined, then x = 0 or y = 0, which means xyz = 4 can’t
hold. So, we calculate when Ax = 0 = Ay. Ax = y − 8/x2 = 0 and Ay = x − 8/y2 = 0. From
these, we obtain x
2y = 8 = xy2
. This forces x = y = 2, which forces z = 1. Calculating second
derivatives and applying the second derivative test, we see that (x, y) = (2, 2) is a local minimum
for A(x, y). To show it’s an absolute minimum, first notice that A(x, y) is defined for all choices
of x and y that are positive (if x and y are arbitrarily large, you can still make z REALLY small
so that xyz = 4 still). Therefore, the domain is NOT a closed and bounded region (it’s neither
closed nor bounded), so you can’t apply the Extreme Value Theorem. However, you can salvage
something: observe what happens to A(x, y) as x → 0, as y → 0, as x → ∞, and y → ∞. In each
of these cases, at least one of the variables must go to ∞, meaning that A(x, y) goes to ∞. Thus,
moving away from (2, 2) forces A(x, y) to increase, and so (2, 2) is an absolute minimum for A(x, y).
Answer:
B
Step-by-step explanation:
20% of 60 is 12
60/300 = 20%
The friend is incorrect because that is 20% of 300 not 60
