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Olin [163]
3 years ago
12

Gordon pours 4/9 quarts of milk from a pitcher equally into 4 mugs.

Mathematics
2 answers:
nikklg [1K]3 years ago
7 0
A. each mug will be 1/9 because 4/9 divide by 4 is 1/9
b 3/9 or 1/3 because 1/9 times 3 is 3/9
~ JZ 
Zolol [24]3 years ago
6 0

Answer:

a) 1/9 quarts

b) 1/3 quarts

Step-by-step explanation:

<em>Gordon pours 4/9 quarts of milk from a pitcher equally into 4 mugs. </em>

<u>a. Find the amount of milk in each mug. </u>

<u />

To solve the first part of this question, we can simply use the idea of proportion;

Let x be the amount of milk in 1 mug

4/9  quarts  =   4 mugs

   x               =    1  mugs

We will cross multiply

4x  =  4/9

To get the value of x, we will divide both-side of the equation by 4

4x/ 4  =   4/9 ÷  4

(on the left hand- side of the equation, 4 will divide 4 leaving us with x)

x  =  4/9 ÷  4

( This<em> ÷4</em> can be change to become <em>× 1/4</em>)

x  =   4/9   ×   1/4

(The 4 at the numerator will cancel out the 4 at the denominator leaving us with 1/9)

x  =  1/9

Therefore the amount  of milk in  each mug is 1/9 quart

<u>b.Find the amount of milk in 3 mugs</u>

For this second part of the question, we can also use proportion to solve;

Let x be the amount of milk in 3 mugs

4/9 quarts = 4 mugs

 x               = 3 mugs

Cross multiply

4x  =   3  ×  4/9

(At the right-hand side of this equation 3 can divide 9 which will give us 3 )

4x   =   1 × 4 /3

4x  = 4/3

We can now divide both-side of the equation by 4 to get the value of x

4x/4  = 4/3  ÷  4

(On the left hand side of the equation, 4 will cancel out 4 leaving us with just x and on the right-hand side of the equation <em>÷  4 </em>can be changed to <em>×1/4</em>)

x   =  4/3  ×  1/4

(4 will cancel 4 leaving us with  1/3)

x =  1/3

Therefore the amount of milk in 3 mugs is 1/3 quarts

 

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Two consecutive perfect squares have a difference of $99$. what is the value of the larger perfect square?
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Answer:

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Step-by-step explanation:

Let the first square number be x^2 then the next square number is (x+1)^2.

The difference between these two consecutive numbers is 99.

This implies that:

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We expand to get:

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Simplify:

2x=99-1

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Divide both sides by 2

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Therefore the value of the larger perfect number is

(49+1)^2=50^2=2500.

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