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azamat
3 years ago
9

Perform the indicated operation 2/3 +3/8

Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

To sum two fractions, you have to transform them in order to have the same denominator: if you multiply both numerator and denominator of the first fraction by 8, and numerator and denominator of the second by 3, you have

\dfrac{2}{3} = \dfrac{2\cdot8}{3\cdot8} = \dfrac{16}{24}

\dfrac{3}{8} = \dfrac{3\cdot3}{8\cdot3} = \dfrac{9}{24}

Now we can easily sum the fractions, because we only have to sum the numerators:

\dfrac{2}{3} + \dfrac{3}{8} = \dfrac{16}{24} + \dfrac{9}{24} = \dfrac{16+9}{24} = \dfrac{25}{24}

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6 0
3 years ago
PLEASE HELP I DON'T UNDERSTAND! A florist is making regular bouquets and mini bouquets. The florist has 118 roses and 226 peonie
Anna [14]

Answer:

The florist can make 11 regular bouquets and 21 mini bouquets

Step-by-step explanation:

The number of roses the florist has = 118 roses

The number of peonies the florist has = 226 peonies

The number of roses in each regular bouquet = 5 roses

The number of peonies in each regular bouquet = 11 peonies

The number of roses in each mini bouquet = 3 roses

The number of peonies in each mini bouquet = 5 peonies

1. The equation that gives the total number of roses to be used in both kinds of bouquet is given as follows;

Let r represent the number of regular bouquet the florist can make and let m represent the number of mini bouquet the florist can make, we have;

5·r + 3·m = 118...(1)

2. Similarly, we have;

11·r + 5·m  = 226...(2)

Making m the subject of the formula of both equations, and equating both values of m to find a common solution, we have;

m = (118 - 5·r)/3

m = (226 - 11·r)/5

(118 - 5·r)/3 = (226 - 11·r)/5

5 × (118 - 5·r) = 3 × (226 - 11·r)

590 - 25·r = 678 - 33·r

33·r - 25·r = 678 - 590 = 88

8·r = 88

r = 88/8 = 11

r = 11

The number of regular bouquet the florist can make = r = 11

m = (118 - 5·r)/3 = (118 - 5×11)/3 = 21

m = 21

The number of mini bouquet the florist can make = m = 21

The number of regular bouquet the florist can make = 11 bouquets

The number of mini bouquet the florist can make = 21 bouquets.

3 0
2 years ago
during a flu epidemic,146 students out of 680 who attend Lincoln middle school were absent. what percent were absent?
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What’s something goes up but never comes down?
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3 years ago
100 POINTS HELP ASAP NOW!!!!!!<br> Find the value of x in each case.
Zepler [3.9K]

9514 1404 393

Answer:

  x = 22.5°

Step-by-step explanation:

The interior angle at E is (180 -4x), the supplement of the exterior angle there, 4x. The sum of angles 2x and (180-4x) will be equal to 6x, because alternate interior angles at transversal BE are congruent:

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The value of x is 22.5°.

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