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natita [175]
3 years ago
10

PLEASE HELP!!!! Emily is making 2 gallons of punch with 4 parts grape juice to 3 parts pineapple juice to 1 part sparkling cider

. How many cups of pineapple juice will Emily need?? Hint (1 gallon = 16 cups)
Mathematics
1 answer:
True [87]3 years ago
7 0

1 gallon = 16 cups. She is making 2 gallons so needs 32 total cups.

The ratio is 4:3:1

Add the ratios: 4+ 3 + 1 = 8

Divide total cups by total ratio:

32/8 =4

Now multiply that by each portion of the ratio:

Grape juice = 4 x 4 = 16 cups

Pineapple juice = 3x4 = 12 cups

Cider = 1x 4 = 4 cups

She needs 12 cups of pineapple juice.

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Jenna and Heidi together have $60. Jenna has $9 more than twice Heidi’s amount. How much money does each have?
Marina86 [1]

Jenna has $43 and Heidi has $17.

Step-by-step explanation:

Total amount = $60

Let,

Amount of Jenna = x

Amount of Heidi = y

According to given statement;

x+y=60   Eqn 1

x=2y+9   Eqn 2

Putting value of Eqn 2 in Eqn 1;

(2y+9)+y=60\\2y+9+y=60\\3y=60-9\\3y=51

Dividing both sides by 3,

\frac{3y}{3}=\frac{51}{3}\\y=17\\

Putting y=17 in Eqn 2

x=2(17)+9\\x=34+9\\x=43

Jenna has $43 and Heidi has $17.

Keywords: linear equations, substitution method

Learn more about substitution method at:

  • brainly.com/question/10736268
  • brainly.com/question/10764770

#LearnwithBrainly

4 0
4 years ago
What is the remainder when 2 is synthetically divided into the polynomial
Ray Of Light [21]

Answer:

A

Step-by-step explanation:

X=-7

4 0
3 years ago
Expand using the distributive property:<br> 7(3a-2b) + 5(3b-4a) =
Sloan [31]

Answer:

the answer is a+b

Step-by-step explanation:

7(3a-2b) +5(3b-4a)

21a-14b+15b-20a

a+b

5 0
3 years ago
The reaction of the body to a dose of medicine can sometimes be represented by an equation of the formR = M^2 (C/2- M/3),where C
mr Goodwill [35]

Answer:

The derivative is \frac{dR}{dM}  =  CM - M^2

Step-by-step explanation:

From the question we are told that

The equation representing the reaction is R = M^2 (\frac{C}{2} - \frac{M}{3}  )

Generally this equation can be represented as

R  =  \frac{C M^2}{2}  - \frac{M^3}{3}

Generally \frac{dR}{dM} as a function of M is mathematically represented as

\frac{dR}{dM}  =  2 * \frac{C M^{2 - 1 }}{2}  +  3 * \frac{M^{3-1}}{3}

=> \frac{dR}{dM}  =  CM - M^2

8 0
4 years ago
Shown below are the scatter plots for four data sets.<br> Answer the questions that follow.
11111nata11111 [884]
Clusters are when data is very close together therefore graphs 2 and 3 have clusters. The data doesn’t seem to fit the regression line very well like figure 4.

Outliers in data or scatter plots are when values are very separated form each other therefore scatter plot 1 is the only one that has outliers. It has blue dots that are very separate from its regression line.

Figure four doesn’t fit any of the questions asked.
Hope this helps!
4 0
3 years ago
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