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Inessa05 [86]
3 years ago
6

The ratio of apple juice to cranberry juice in a punch

Mathematics
1 answer:
zimovet [89]3 years ago
8 0

Answer:

9 to 17

Step-by-step explanation:

If you divide 21 by 3 you get 9. So divide 51 by 3 you get 17.

Hope it helps!

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Write an equation of te circle with the center (0,0) and radius square root of 15
Stolb23 [73]
Your equation is:

x² + y² = 15
5 0
3 years ago
During the first hour of operation the farm stand owner sold 15% of the apples he had. On the second hour he sold 20% of the rem
liraira [26]

Answer:

 3.825 kg apples.

Step-by-step explanation:

Let x kg be the amount of apples stand owner had initially.

We have been given that during the first hour of operation the farm stand owner sold 15% of the apples he had. Then the amount of sold apples will be:

\text{The amount of sold apples during 1st hour}=\frac{15}{100}x=0.15x

\text{The amount of remaining apples after 1st hour}=x-0.15x

\text{The amount of remaining apples after 1st hour}=0.85x

On the second hour he sold 20% of the remaining apples. So the amount of sold apples on the second hour will be 20% of 0.85x.

\text{The amount of sold apples during 2nd hour}=0.85x*\frac{20}{100}  

\text{The amount of sold apples during 2nd hour}=0.85x\times 0.20  

\text{The amount of sold apples during 2nd hour}=0.17x

During the second hour 25.5 kg of apples were sold, so we can set up an equation as:

25.5=0.17x

\frac{25.5}{0.17}=\frac{0.17x}{0.17}

150=x

So, stand owner had initially 150 kg of apples.

\text{The amount of remaining apples after 2nd hour}=0.85x-0.17x

\text{The amount of remaining apples after 2nd hour}=0.68x

On the third hour he sold 25% of the remaining apples. So the amount of sold apples on the 3rd hour will be 25% of 0.68x

\text{The amount of sold apples during 3rd hour}=0.68x*\frac{25}{100}

\text{The amount of sold apples during 3rd hour}=0.68x*0.25

\text{The amount of sold apples during 3rd hour}=0.17x  

\text{The amount of remaining apples after 3rd hour}=0.68x-0.17x

\text{The amount of remaining apples after 3rd hour}=0.51x

As remaining apples were sold 5% more each following hour.

\text{The amount of sold apples during 4th hour}=0.51x*\frac{5}{100}

\text{The amount of sold apples during 4th hour}=0.51x*0.05

\text{The amount of sold apples during 4th hour}=0.0255x

Let us substitute x=150 into above equation we will get,

\text{The amount of sold apples during 4th hour}=0.0255*150

\text{The amount of sold apples during 4th hour}=3.825

Therefore, 3.825 kg of apples were sold during the 4th hour.

7 0
3 years ago
Solve the equation.<br><br> −10=−b4
Fantom [35]

Answer:

b = 1.778279, −1.778279

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
How many solutions does the system have? y=−2x+1y=−2x2+1?
Flura [38]
Set the equations to equal each other:
-2x²+1=-2x+1

Solve for x:

-2x²+1=-2x+1
-2x²+2x+1=-2x+2x+1
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-2x²+2x=0
2x (-x+1)=0

2x=0 and -x+1=0
2/2x=0/2 -x+x+1=0+x
x=0 1=x

There are two solutions, x=0,1
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2 years ago
Read 2 more answers
brady has a card collection with 64 basketball cards, 32 football cards, and 24 baseball cards. he wants to arrange the cards in
forsale [732]

Answer:

8 piles for basketball

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Step-by-step explanation:

1. Find the GCF of all three #s

2. 8 is the GCF, so divide each # by 8

3. You get the # of piles for each type of card

6 0
3 years ago
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