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ivanzaharov [21]
4 years ago
8

A recipe for casserole calls for 2 cups of rice. The recipe makes 6 servings of casserole. how many cups of rice will you need t

o make 10 servings of casserole
Mathematics
1 answer:
ss7ja [257]4 years ago
5 0

You will need 3.333.... cups of rice to make 10 servings of casserole.

<u><em>Explanation</em></u>

The recipe which makes 6 servings of casserole, needs 2 cups of rice.

Suppose, you need x cups of rice for making 10 servings of casserole.

Now, the equation according to <u>the ratio of "cups of rice" to the "servings of casserole" </u>will be.....

\frac{x}{10}=\frac{2}{6}\\ \\ 6x= 2*10=20\\ \\ x=\frac{20}{6}=3.333.....

So, you will need 3.333.... cups of rice to make 10 servings of casserole.


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3 years ago
Find the values of x and y that maximize the objective function P=3x+2y for the graph. What is the maximum value?
AURORKA [14]

Answer:

(9, 0)

Step-by-step explanation:

Maximum or minimum value occurs at the Corner. The points given are (0, 8), (5, 4) and (9, 0).

Substitute (0, 8) in the objective function.

We get P = 3(0) + 2(8) = 16

Now for (x , y) = (5, 4)

P = 3(5) + 2(4) = 15 + 8 = 23

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3 years ago
Use the Pythagorean Theorem to find the distance
docker41 [41]

Answer:

About 10.05

Step-by-step explanation:

The change in x is 1, so the bottom line is a length of 1. The change in y is 10, so the right line is 10. Since a^2+b^2=c^2, 1^2+10^2=101, and the square root of 101 is about 10.05.

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2 years ago
QUESTION 2
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One piece will be length x and the other piece will be 20 cm longer, so it will be x + 20 cm long.  

Added together the length of these two boards will equal 86 cm. So you can write an equation:  

x + (x + 20) = 86  

Remove the parentheses and add the two x's together to get:  

2x + 20 = 86

Subtract 20 from both sides:  

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The short piece is 33 cm and the other piece is 20 cm longer or 33 + 20 = 53 cm.

3 0
3 years ago
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