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Valentin [98]
3 years ago
12

Alex and his friend Kim made a one-gallon pitcher of lemonade because it was so hot. They drank 5 glasses that each help 2 cups

of lemonade. How much lemonade was left in the pitcher ? Express the ANSWER IN TWO DIFFERENT WAYS . (Hint: there are 4 cups in 1 quart and 4 quarts in 1 gallon.) PLEASE! I know it’s EZ I’m just really tired and can’t think rn. 30 points to answer!! Thanks
Mathematics
1 answer:
natulia [17]3 years ago
6 0

we know that

4 cups of lemonade = 1 quart

1 gallon of lemonade = 4 quarts

1 gallon of lemonade = 16 cups

Step 1

<u>  find the amount of lemonade that's left expressed in cups</u>

5 glasses * 2 cups = 10 cups  

16 cups - 10 cups = 6 cups.  

There are 6 cups of lemonade left.  

Step 2

<u>  find the amount of lemonade that's left expressed in  quarts:  </u>

4 cups = 1 quart.  

(6 cups divided by 4 cups will equal the quarts.)  

6/4=1.5

6 cups = 1.5 quarts.  

There are 1.5 quarts of lemonade left.  

Step 3

<u>  find the amount of lemonade that's left expressed in gallons  </u>

4 quarts = 1 gallon.  

(1.5 quarts divided by 4 quarts will equal the gallon)  

1.5/4=0.375

1.5 quarts = 0.375 gallon.  

There is 0.375 gallon left of lemonade.

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Which pair of lines is parallel? A. y=4x+1 and y+4=5 B. y=-2+x and 2y-2x=-2 C. y=1/4x + 2 and y-2=1/2x D. y=1/5x+1 and 5y+x= 10
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Answer:

B. y=-2+x and 2y-2x=-2

Step-by-step explanation:

Two lines are parallel if they have the same slope.

The equation 0of a line is tipically written as y=mx + b, where 'm' represents the slope and 'b' the y-intercept.

Let's evaluate each of the options:

A. y=4x+1 and y+4x=5

Writing the equations in the slope-intercept form, we get:

y=4x+1 → m=4

y=5-4x → m=-4

Given that they have different slopes, they are not parallel.

B. y=-2+x and 2y-2x=-2

Writing the equations in the slope-intercept form, we get:

y=-2+x → m=1

y=-1 + x → m=1

Given that the equations have the same slope, they are parallel.

C. y=1/4x + 2 and y-2=1/2x

Writing the equations in the slope-intercept form, we get:

y=1/4x + 2  → m=1/4

y=1/2x+2 → m=1/2

Given that they have different slopes, they are not parallel.

D. y=1/5x+1 and 5y+x= 10

Writing the equations in the slope-intercept form, we get:

y=1/5x+1 → m=1/5

5y+x= 10 → y=2 - 1/5x → m=-1/5

Given that they have different slopes, they are not parallel.

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