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zloy xaker [14]
3 years ago
12

A recipe for snack mix call for 4 3/4 cups of cereal the amount of peanuts needed is 1 and 2/3 cups less than the amount of cere

al needed
How many cups of peanuts are needed?

How many cups of cereal and peanuts are needed
Mathematics
2 answers:
BaLLatris [955]3 years ago
8 0

Answer: 1st question=3 1/12 2nd question=6.4166667

Step-by-step explanation: Please correct me if I’m wrong, if I’m right, thank me.

morpeh [17]3 years ago
3 0

Answer:

3¹/₁₂ cups; 7⅚ cups

Step-by-step explanation:

1. Cups of peanuts

4¾

<u>-1⅔ </u>

(a) Convert the fractions to their lowest common denominator

The lowest common denominator is 12.

 4⁹/₁₂

<u>-1⁸/₁₂ </u>

(b) Subtract the numbers

4⁹/₁₂

<u>-1⁸/₁₂ </u>

3¹/₁₂

You need 3¹/₁₂ cups of peanuts.

2. Cups of cereal and peanuts

 4¾

<u>+3¹/₁₂ </u>

(a) Convert the fractions to their lowest common denominator

The lowest common denominator is 12.

 4⁹/₁₂

<u>+3 ¹/₁₂ </u>

(b) Add the numbers

 4⁹/₁₂

<u>+3 ¹/₁₂ </u>

 7¹⁰/₁₂

(c) Reduce the fraction to lowest terms

Divide the numerator and denominator by 2.

7¹⁰/₁₂ = 7⅚

The total volume of cereal and peanuts is 7⅚ cups.

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F(x)=6x-18 sub in f(x/3), f(x)/3
arlik [135]

These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).

To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.

f(x) = 6x - 18

f(x/3) = 6(x/3) - 18

To simplify, we should distribute the 6 on the right side of the equation.

f(x/3) = 6x/3 - 18

Now, we can divide the first term on the right side to finalize our simplification.

f(x/3) = 2x -18

Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.

f(x) = 6x - 18

f(x)/3 = (6x-18)/3

This means that we must divide each term of the binomial by 3, so we are really computing

f(x)/3 = 6x/3 - 18/3

We can simplify by dividing both of the terms.

f(x)/3 = 2x - 6

Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.

Hope this helps!


8 0
2 years ago
Dwayne buys ingredients to make a cake. He buys 1 1/2 pounds of flour, 12 ounces of coconut, and 1 1/4 pounds of sugar. What is
AVprozaik [17]

Answer:

3.05 or 31/2 pounds

56 ounces

Step-by-step explanation:

To find the total weight all the weights have to have the same units of measurements

It is either pounds is converted to ounces or ounces is converted to pounds

1. convert ounces to pound

1 ounce = 0.0625

12 ounces = 0.0625 x 12 = 0.75 pounds or 3/4

add together = 1 1/2 + 3/4 + 1 1/4 = 1\frac{1}{2} + \frac{3}{4}  + 1\frac{1}{4}

2\frac{2 +3 + 1}{4} = 2\frac{6}{4} = 3 1/2

2. 16 ounces = 1 pound

flour = 16 x 1 1/2 = 24

sugar = 16 x 1 1/4 = 20

total = 24 + 20 + 12 = 56 ounces

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romanna [79]

Step 1: multiply the numbers in front of the parentheses with each term inside the parentheses

15p - 9 = 5p - 5

Step 2: get like terms on the same side

10p = 4

Step 3: divide both sides by 10

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Step 4: simplify

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