A dietitian wishes to plan a meal around three foods. Each ounce of food A contains 10% of the daily requirements for carbohydrates, 10% for protein, and 15% for vitamin D. Each ounce of food B contains 10% of the daily requirements for carbohydrates, 5% for protein, and 0% for vitamin D. Each ounce of food C contains 10% of the daily requirements for carbohydrates, 12.5% for protein, and 10% for vitamin D. Let x, y, and z, respectively, be the number of ounces of foods A, B, and C required in order to supply exactly the daily requirements for each nutrient. Find them by setting up a system of equations and solving it.

Answers

Answer 1

Answer:

Answer: x = 4, y = 2, z = 6

Step-by-step explanation: 4 ounces of Food I, 2 ounces of Food II, 6 ounces of Food III.

Related Questions

In a recent year a letter to Europe from United date cost $ 0.94 to mail a letter mailed within the United States cost $0.44 nancy mailed for $3.70 some to Rourke and some to United States how many letter did she send to europe
Solve this inequality: 3p – 16 < 20. A. p < 1/3B. p < 11/3C. p < 12D. p < –12
The area of triangle ABC is 24 square centimeters. If4 cm8 cm16 cm32 cm
What is the value of the function when x = 6? y = 4x+5
Mr. Levine corrects 7 tests in 25 minutes. At this rate, how long would it take him to correct 120 tests?

Combine like terms.7 + 4x – 10x + 15

A.22 – 14x

B.22 – 6x

C.22 + 6x

D.11x – 5x

Answers

The answer is B

Reason Being is because you would combine (4x) and (-10x) which would give you -6x.

After combining those you would combine (7) and (15) which would give you 22.

Therefore, your answer is (22-6x)

A cylindrical water bottle with a height of 20 cm and diameter of 5.5 cm is filled with water until it is full. Vincent wants to transfer the water in the bottle into a cubic container. State the minimum length of a side of the cube. Can anyone help to explain this question for me?

Answers

Step-by-step explanation:

the volume of a cylinder is

ground area × height

the ground area is a circle, and the area of a circle is

pi×r²

with r being the radius, which is always half of the diameter.

so, in our case

r = 5.5/2 = 2.75 cm

height = 20 cm

so, the volume of the cylinder is

pi×2.75² × 20 = pi×7.5625×20 = 475.1658889... cm³

the volume of a cube is

(side length)³

and the side length of a cube is therefore the cubic root of the volume.

now the volume of the cube has to be at least a large as the volume of the cylinder to be able to contain all the water from the cylinder.

so, the side length has to be at least the cubic root of that volume (475.1658889... cm³).

which is 7.803361957... cm.

I am confused on number 15, the instructions are at the top.

Answers

You don't have #15 included. If you meant to put #25, I already answered that. Here is the solution again though.

#25 is fairly simple. Plug in -4 and 3 into the equation, and the extraneous root will be the one that does not work.
$√(12-(-4)) = √(16) = \frac{+}{}4$
Extraneous root in this case is positive four since +4≠-4
$√(12-3) = √(9) = \frac{+}{}3$
In this case it's negative 3, since -3≠3

The data set gives the number of hours it took each of the 10 students in a cooking class to master a particular technique. {5, 3, 5, 30, 4, 5, 4, 3, 4, 5}

what is the best measure of center for this data set (FQ, mean, median, or range) , and its value is (3, 4, 4.5, or 6.8)

Answers

Answer: The best measure of center for this data set is median , and its value is 4.5 .

Step-by-step explanation:

The given data set : {5, 3, 5, 30, 4, 5, 4, 3, 4, 5}

We can see that it has an outlier (i.e. 30) which is extremely large from all the values.

We know that to measure the center of tendency we measure one of three things arranged in ascending order:

Mode< Median <Mean

But mean gets affected by outlier value.

Then the best measure of center for this data set must be Median.

For this, arrange given data set in order:

{3 ,3 ,4 ,4 ,4 ,5 ,5 ,5 ,5 ,30 }

Since , the number of data values = 10 (even)

Then , Median = Mean of two middle most numbers

$(4+5)/(2)=4.5$

Hence, the best measure of center for this data set is median , and its value is 4.5 .

Holding a baby, only the head requires extra support.