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Elanso [62]
3 years ago
10

Four friends shared 1/2 of one carton of orange juice and 1/4 of another carton of apple juice. What fraction of each carton of

juice did each friend get?
Mathematics
1 answer:
Natalka [10]3 years ago
3 0

Answer:

\dfrac{1}{16}

\dfrac{1}{32}

\dfrac{3}{32}

Step-by-step explanation:

So in the first carton of orange juice 4 friends shared the juice.

This can be shown as:

\dfrac{(\dfrac{1}{2})}{4}

\dfrac{(\dfrac{1}{2})}{4}=\dfrac{1}{16}

The 4 friends got 1/16 of the carton each in the first carton of OJ.

Next for the second carton, it can be shown as:

\dfrac{(\dfrac{1}{4})}{4}

\dfrac{(\dfrac{1}{2})}{4}=\dfrac{1}{32}

The 4 friends got 1/32 of the carton each in the first carton of OJ.

Now to see how much they got in total each, we simply add 1/16 to 1/32

Total OJ each = \dfrac{1}{16}+\dfrac{1}{32}

Total OJ each = \dfrac{3}{32}

Each friend got a total of \dfrac{3}{32} each from both cartons of OJ.

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Vitek1552 [10]
<span>75 pages.
   OK. Lots of copying errors here. I'll be using 275 page book, reading 10 pages per 15 minutes, skimming 15 pages per 10 minutes, 5 hours and 50 minutes to complete the book.
   To make things easier, first convert the time to just minutes. So 5 * 60 + 50 = 300 + 50 = 350 minutes.

   Now let's use the variable X for the number of minutes spent skimming and (350-X) for the number of minutes spent reading.
 X * 15/10 + (350 - X)*10/15 = 275

   Solve for X.
 X * 15/10 + (350 - X)*10/15 = 275
 X * 15/10 + 350*10/15 - X*10/15 = 275
 X * 15/10 - X*10/15 = 275 - 350*10/15
X(15/10 - 10/15) = 275 - 3500/15
 X(45/30 - 20/30) = 825/3 - 700/3
 X(25/30) = 125/3
 X = 125/3 * 30/25 = 125/1 * 10/25 = 5/1 * 10/1 = 50/1 = 50
   So Jayden spent 50 minutes skimming. And at the rate of 15 pages every 10 minutes, he skimmed 50*15/10 = 750/10 = 75 pages.</span>
7 0
3 years ago
Investment of $3000 at 16% simple interest for two years.
Yanka [14]
I=PRT
r=rat
P=present amount
I=interst
t=time in yeare

2 years
16%
3000
I=2*3000*0.16
I=$960

3 0
3 years ago
Read 2 more answers
Solve the Equation p+5/8=15/16?
Sphinxa [80]
So the first thing you want to do when faced with two fractions with different denominators (when subtracting or adding) is to make the denominators the same. So for this equation they would turn out to be p+10/16=15/16 (because 16 is the lowest common denominator, 8 times two) so then you want to subtract 10/16 from 15/16 to isolate the variable (p) which would get: 
p=5/16
This is the final answer because it cannot be simplified.
Hope this helps!
6 0
3 years ago
Expon
Tema [17]

A and D , that is, 5∛2x and -3∛2x are sets of the radical expressions listed that could be considered like terms. This can be obtained by understanding what like radicals are.

<h3>Which sets of the radical expressions listed could be considered like terms as written?</h3>
  • Radical expression: Radical expression is an equation that has a variable in a radicand (expression under the root) or has a variable with a rational exponent.

For example, √128, √16

  • Like radicals: Radicals that have the same root number and radicand (expression under the root)

For example, 2√x and 5√x are like terms.

Here in the question radical expressions are given,

  • 5∛2x
  • -4x∛2
  • 5√2x
  • -3∛2x
  • 5x√2x

By definition of like radicals we get that 5∛2x and -3∛2x are like terms since root number and radicand are same, that is, root number is 3 and radicand is 2x.

Hence A and D , that is, 5∛2x and -3∛2x are sets of the radical expressions listed that could be considered like terms.

Learn more about radicals here:

brainly.com/question/16181471  

#SPJ9

3 0
2 years ago
Elly poured 1/10 gallon of water into a empty bottle now it is 1/2 full how many cups of water does a full bottle hold?
shutvik [7]
2/10 of a gallon. 1/10 is half so then 1/10 times 2 would equal 2/10
3 0
3 years ago
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