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12345 [234]
3 years ago
9

luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice.she gives 5/8 cup of juice to mags. how much is left in lunas

glass
Mathematics
2 answers:
bekas [8.4K]3 years ago
6 0

Answer:4/8 or simplified answer 1/2

Step-by-step explanation:

3/4 + 3/8, first you have to find the highest common factor of 4 and 8.

The answer is 9. The denominator of both side will be 8. Now you ask yourself 4 times what gives you 8 and times the numerator by that number. And do the same for the 8.

6/8 + 3/8= 9/8

9/8 - 5/8= 4/8

The simplified answer is 1/2

Black_prince [1.1K]3 years ago
5 0

Answer:

3/4+3/8

=9/8

9/8-5/8

=4/8 or 1/2 left

Step-by-step explanation:

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you add up all the numbers to get the total then divied the single number (eg. 8) by the total. It will then show up as a decimal so in order to get rid of the decimal you multiply by 100. ( eg. 8 ÷50=0.16 → 0.16×100= 16 → 16% )

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Salinity is a measure of the salt content of a body of water. One researcher measures the salinity of the Indian Ocean as 3.2%.
frosja888 [35]
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3 years ago
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Find x: 3/(x-4)(x-7) + 6/(x-7)(x-13) + 15/(x-13)(x-28) - 1/x-28 = -1/20
Novay_Z [31]

The value of x<em> </em>in the polynomial fraction 3/((x-4)•(x-7)) + 6/((x-7)•(x-13)) + 15/((x-13)•(x-28)) - 1/(x-28) = -1/20 is <em>x </em>= 24

<h3>How can the polynomial with fractions be simplified to find<em> </em><em>x</em>?</h3>

The given equation is presented as follows;

\frac{3}{(x - 4) \cdot (x - 7) }  + \frac{6}{(x - 7) \cdot (x - 13)   }  + +\frac{15}{(x - 13) \cdot (x - 28) } - \frac{1}{(x - 28)  } =  -  \frac{1}{20}

Factoring the common denominator, we have;

\frac{3\cdot(x - 13) \cdot(x - 28) + 6 \cdot(x - 4) \cdot(x - 28)  + 15 \cdot(x - 4) \cdot(x - 7)  - (x - 4) \cdot (x - 7)\cdot(x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)}   + =  -  \frac{1}{20}

Simplifying the numerator of the right hand side using a graphing calculator, we get;

By expanding and collecting, the terms of the numerator gives;

-(x³ - 48•x + 651•x - 2548)

Given that the terms of the numerator have several factors in common, we get;

-(x³ - 48•x + 651•x - 2548) = -(x-7)•(x-28)•(x-13)

Which gives;

\frac{-(x - 7) \cdot(x - 28)\cdot (x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)}   + =  -  \frac{1}{20}

Which gives;

\frac{-1}{(x - 4)}   + =  -  \frac{1}{20}

x - 4 = 20

Therefore;

  • x = 20 + 4 = 24

Learn more about polynomials with fractions here:

brainly.com/question/12262414

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