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borishaifa [10]

3 years ago

9

Loryn made a pitcher of lemonade that contained a 6 and 1/2 cups of lemonade. One serving of lemonade is 1/2 cup. How many cups

of lemonade can Lordy serve to her friends?

1 answer:

Varvara68 [4.7K]3 years ago

7 0

Answer:

6 1/2

Step-by-step explanation:

i think you got to multiply then you have to make 6 1/2 an mixed number then divide the answer to get an improper fraction

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w^64

Step-by-step explanation:

(w^8)^8

both of the powers will be multiplied; hence

w^8*8

w^64

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Which equation represents a proportional relationship? A. y = x + 1 3 y=x+13 B. y = 1 − 1 3 x y=1-13x C. y = 3 x + 1 3 y=3x+13 D

34kurt

Answer:

Option D. $y=\frac{1}{3}x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<u><em>Verify each case</em></u>

case A) we have

$y=x+\frac{1}{3}$

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

$y=0+\frac{1}{3}=\frac{1}{3}$

so

The line not passes through the origin

therefore

The equation A not represent a proportional relationship

case B) we have

$y=1-\frac{1}{3}x$

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

$y=1-\frac{1}{3}(0)=1$

so

The line not passes through the origin

therefore

The equation B not represent a proportional relationship

case C) we have

$y=3x+\frac{1}{3}$

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

$y=3(0)+\frac{1}{3}=\frac{1}{3}$

so

The line not passes through the origin

therefore

The equation C not represent a proportional relationship

case D) we have

$y=\frac{1}{3}x$

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

$y=\frac{1}{3}(0)=0$

so

The line passes through the origin

therefore

The equation D represent a proportional relationship

3 0

3 years ago