MATHEMATICS COLLEGE

A particular salad contains 4 units of vitamin A, 5 units of vitamin B complex, and 2 mg of fat per serving. A nutritious soup contains 6 units of vitamin A, 2 units of vitamin B complex, and 3 mg of fat per serving. If a lunch consisting of these two foods is to have at least 10 units of vitamin A and at least 10 units of vitamin B complex, how many servings of each should be used to minimize the total number of milligrams of fat

Answers

Answer 1

Answer:

2 servings of salad and 1 serving of soup

Step-by-step explanation:

In the given scenario the aim is to minimise the fat content of the food combination.

Fat content of soup is 3mg while fat content of salad is 2 mg.

Using Soup as 0 and Salad as 2 will not give the required vitamin content

The logical step will be to keep servings of soup to the minimum.

Let's see some combinations of salad and soup. Keeping serving of soup to the minimum of 1

1. 1 serving of salad and one serving of soup will contain 10 mg of vitamin A, 7 mg of vitamin B complex, and 3 mg of fat.

This will not work because amount of vitamin B complex is not up to 10 mg

2. 2 servings of salad and 1 serving of soup. Will contain 14 mg of vitamin A, 12 mg of vitamin B, and 7 mg of fat

This is the best option as we have amount of vitamin A and vitamin B complex in adequate quantity.

Also fat is lowest in this combination because soup the food with highest fat content is at minimum amount of one serving

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What is the area of the trapezoid shown?

Answers

Answer:

Answer is 74 square units

Step-by-step explanation:

I took the quiz.

If X equals 6 then find the matching value for y 4x-3y=9

Answers

Answer:

Y = 5

Step-by-step explanation:

Since we know six is the value of X we can go ahead and multiply 4 and 6

4 X 6 = 24

Now there are different ways to find the value of Y

How I find the value is I subtracted 24 from 9

That gives you 15

Next you find what number you need to multiply by 3 to get 15

In this case your answer is 5

Then to be extra sure subtract 24 and 15 and you'll get 9

Hope this helps!

y = 5

substitute x = 6 into the equation and solve for y

(4 × 6 ) - 3y = 9

24 - 3y = 9 ( subtract 24 from both sides )

- 3y = - 15 ( divide both sides by - 3 )

y = 5

In the 1980s land prices in Japan surged upward in a ""speculative bubble."" Land prices then fell for 11 straight years between 1990 and 2001. What can we safely assume happened to land rent in Japan over those 11 years? Use graphical analysis to illustrate your answer.

Answers

Answer:

Step-by-step explanation:

Given the supply of land is perfectly inelastic, the drop in prices must have resulted from decreased demand for land. The demand for land would fall if there were less of a return on the land (i.e., rent), so we can safely assume that land rent fell in Japan between 1990 and 2001. The shifts from D3 to D2 to D1 demonstrate graphically what happened in Japan.

F(x) =x + 3/2
For the function f defined above, what is the value of f(-1)

Answers

$\bf \underline{ \underline{Given : }}$

f(x) =x + 3/2

$\bf \underline{ \underline{To \: be \: calculated : }}$

what is the value of f(-1) ?

$\bf \underline{ \underline{Solution : }}$

$\sf{f(x) = x + (3)/(2) }$

$\rightarrow \sf {f( - 1) = ( - 1) + (3)/(2) }$

$\rightarrow \sf{f( - 1) = ( - 2 + 3)/(2) }$

$\rightarrow \sf{f( - 1) = ( 1)/(2) }$

$\rightarrow \sf {f( - 1) = 0.5}$

Answer:

0.5

Step-by-step explanation:

Plug in -1 as x into the function:

f(-1) = -1 + 3/2

f(-1) = 0.5

While hiking, Sandra went up 120 meters. If Sandra started at 800 meters above sealevel, what is her elevation now?

Answers

The Answer:

If Sandra started at 800 meters and went up 120, the answer would be 920.

Step-by-step explanation:

First, simply add 800 meters, which is what she started with. Next, since she has gone up 120 meters since then, and the question is asking us what her elevation is NOW, you can add 800 + 120 to get 920. This question is solved by using addition.

Hope this helps!

Sandra is 920 meters above sea level

You would add 120 and 800 which is 920

Please what is the answer of number 1

Answers

Answer:

-80

Step-by-step explanation:

First you multiply both sides of the equation by 5 to get rid of the fraction, it becomes Y + 30 = -50.

To get rid of the 30 you subtract 30 from each side and that makes it Y = -80.

Your answer does not want the Y=, so your answer is -80.

If this helps, please mark it Brainliest :)

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