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Bogdan [553]
3 years ago
9

Leah is having a brunch. She wants to serve her guests 2 gallons of juice that is 75% orange juice and 25% pineapple juice. She

has several gallons of 100% orange juice. She also has several gallons of a mixture of 60% orange juice and 40% pineapple juice.
How many gallons of each type of juice should Leah combine to make 2 gallons of a juice mixture that is 75% orange juice and 25% pineapple juice?

Let p represent the number of gallons of 100% orange juice and let m represent the number of gallons of the 60% orange juice-40% pineapple juice mixture.

Which of the below equations can represent one of the equations in the system?

A. p = 2 + m

B. 0.6p = 1.5 + m

C. p + 0.6m = 1.5
Mathematics
1 answer:
Katen [24]3 years ago
5 0

She wants to serve --------- >  2 gallons of juice that is 75% orange juice and 25% pineapple juice

then 

2*0.75------------------ > 1.5 gallons of orange juice

2*0.25------------------ > 0.5 gallons of pineapple juice


2 gallons------------ >1.5 gallons of orange juice+ 0.5 gallons of pineapple juice

if 1 gallons pineapple juice mixture--------------------- > 0.40 gallons pineapple juice

X------------------------------------------------------------------- > 0.50 gallons pineapple juice

X=50/40=1.25 gallons juice mixture

1.25 mixture gallons---- > 0.50 gallons pineapple juice+0.75 gallons orange juice

Therefore

(2-1.25)=0.75 gallons of orange juice

2 gallons------------ >0.75 gallons of orange juice+ <span>1.25 mixture gallons  </span>

0.75*(p)+1.25*(m)=2--------------- > (0.75/1.25)*(p)+(1.25/1.25)*m=2/1.25

0.60p+m=1.6

 The answer is 0.60p+m=1.6






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She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing t
azamat

The glass will contain <u>89.086 milliliters</u> of juice with 7 ice cubes, using the equation of the line of best fit, y =  -29.202x + 293.5.

In the question, we are informed that the equation of the line of best fit, for the, scatter plot with x representing the number of ice cubes and y representing the milliliters of juice is given as y =  -29.202x + 293.5.

We are asked to tell how many milliliters of juice will be in a glass with 7 ice cubes based on the line of best fit.

To find the milliliters of juice in the glass with 7 ice cubes, we substitute x = 7, in the equation of the line of best fit, to get a value of y, representing the milliliters of juice in the glass.

Thus,

y =  -29.202x + 293.5,

or, y =  -29.202(7) + 293.5 {Substituting x = 7},

or, y = -204.414 + 293.5,

or, y = 89.086.

Thus, the glass will contain <u>89.086 milliliters</u> of juice with 7 ice cubes, using the equation of the line of best fit, y =  -29.202x + 293.5.

Learn more about the equation of the line of best fit at

brainly.com/question/1564293

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