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nevsk [136]
3 years ago
11

If Julie needs 3 1/4 cups of oat meal how many 1/4 cups of oatmeal will she use ?

Mathematics
1 answer:
timofeeve [1]3 years ago
6 0
Basically, you divide 3 1/4 by 1/4. To do that, you have to change the mixed number into an improper fraction. 3 1/4 as an improper fraction is 13/4. I was able to find that since you simply just multiply the denominator by the whole number, 4 x 3, which is 12, then add 12 to the numerator, 1, which is 13. Finally, the improper fraction is 13/4 (the denominator stays the same). Now, we can divide the fractions. One rule about fractions: dividing them is the same as multiplying them with the reciprocal of the other. Like say for example, the reciprocal of 1/5 is 5/1. 

Let's solve:

13/4 divided by 1/4 =
13/4 x 4/1 = At this point, you just multiply them straight across.
52/4 = It's not simplified since both can still be divided. So, you simplify by finding the greatest common multiple of 52 and 4, which is 4. 52 divided by 4 = 13; 4 divided by 4 = 1. 
52/4 = 13/1 = 13 (any numerator with the denominator of one is a whole number when simplified)

So if Julie needs 3 1/4 cups of oatmeal, she will use 13 of 1/4 cups of oatmeal. Answer's 13. :) I really hope I helped!

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The n number of homeruns hit during the regular season by a certain baseball player can be modeled by the function n(x) =3/4x, w
sukhopar [10]

Answer:

The average rate of change is equal to \frac{3}{4}\frac{homeruns}{game}

Step-by-step explanation:

we have

n(x)=\frac{3}{4}x -----> this is a linear direct variation

we know that

The rate of change of a linear variation is a constant

The rate of change of a linear variation is equal to the slope of the line

In this problem the slope of the line is equal to m=\frac{3}{4}\frac{homeruns}{game}

therefore

The average rate of change is equal to \frac{3}{4}\frac{homeruns}{game}

<u>Verify</u>

the average rate of change is equal to

\frac{n(b)-n(a)}{b-a}

In this problem we have

n(a)=n(12)=\frac{3}{4}(12)=9\ homeruns  

n(b)=n(60)=\frac{3}{4}(60)=45\ homeruns  

a=12\ games

b=60\ games

Substitute

\frac{45-9}{60-12}=\frac{3}{4}\frac{homeruns}{game}

4 0
3 years ago
What is the constant in the expression 9x3 + 3x2 + 4 + 5x?
bogdanovich [222]

Answer:

4

Step-by-step explanation:

The constant is the lone number, in this case it is 4.

Hope this helps.

7 0
3 years ago
A bottle contains 30 fluid ounces of orange juice and 18 fluid ounces of pineapple juice. Which graph has a slope that best repr
mojhsa [17]

Answer:

option B. G

Step-by-step explanation:

Let

y ---->ounces of orange juice

x --->  ounces of pineapple juice

we know that

The ratio of orange juice to pineapple juice is equal to

ratio=\frac{y}{x}

substitute the given values

ratio=\frac{30}{18}

simplify

ratio=\frac{5}{3}=1.67

<u><em>Verify each graph</em></u>

Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

we have

ratio=\frac{5}{3}

that means

5 ounces of orange juice per 3 ounces of pineapple juice

Graph F

The slope is

m=\frac{4}{6}=\frac{2}{3}=0.67

Graph G

The slope is

m=\frac{4}{2}=\frac{2}{1}=2

Graph H

The slope is

m=\frac{70}{6}=\frac{35}{3}=11.67

Graph J

The slope is

m=\frac{12}{10}=\frac{6}{5}=1.2

The value of 2 is the value closest to 1.67

therefore

The graph that has a slope that best represents the ratio of orange juice to pineapple juice is Graph G

7 0
3 years ago
Solve using inverse operations 83+q=125; q=
Vilka [71]

Answer:

42

Step-by-step explanation:

83+q=125

q=125-83

q=42

3 0
3 years ago
A rectangular pan has a length that is 4/3 the width. The total area of the pan is 432 in.2. What is the width of the cake pan?
Maru [420]
<span>the width of the cake pan can be found with the following formula
area = W x L=</span>432 in.2<span>
but L= 4/3W
so we have </span>
area = W x 4/3W=4/3W²=<span>432 in.2, and </span><span>W²=<span>(3/4)x 432 in.2, and W=18 in</span> </span>


3 0
3 years ago
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