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cluponka [151]
4 years ago
5

A box contains 4 red pencils and 6 black pencils. What fraction of the pencils are red write two equivalent fractions

Mathematics
2 answers:
sergejj [24]4 years ago
5 0
It is 4/6 or 2/3. This is the only answer that i beleive is correct
sweet [91]4 years ago
5 0
You would add up all the pencils to get yiur denominator, so the denominator would be 4+6=10. Since there is 4 red pencils, 4/10 of the pencils are red. To get an equivalent fraction, you can divide by 2. 4 divided by 2 is 2. 10 divided by 2 is 5. So one of your equivalent fractions would be 2/5. To get your second equivalent fraction you have to multiply because 5 is prime and cannot be divided by anything but itself and 1. 10X2=20 and 4X2=8. So your second equivalent fraction could be 8/20.

If this makes it easier here is the final equation.

4/10=8/20=2/5
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Answer:

a) x = -1 and  y = 5, b) x = 2 and y = -1, c) x = -2 and y = 1, d) x = 2 and y = -9, e) x = 2 and y = -2, f) x = 2 and y = -1, g) x = 2 and y = -1, h) x = 1 and y = 2.

Step-by-step explanation:

Each system is solved as follows (Cada sistema es resuelto como sigue):

a) 2\cdot x + y = 3 and 3\cdot x - y = -8

y = 3 - 2\cdot x

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5\cdot x = -5

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b) x - 2\cdot y = 4 and -x+3\cdot y = -5

x = 4 + 2\cdot y

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y = -1

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c) -2\cdot x + 5\cdot y = 9 and x - y = -3

x = y-3

-2\cdot y +6 +5\cdot y = 9

3\cdot y = 3

y = 1

x = -2

d) 5\cdot x - 4\cdot y = 2 and 3\cdot x + 2\cdot y = -12

3\cdot x + 2\cdot y = -12

6\cdot x + 4\cdot y = -24

4\cdot y = -6\cdot x -24

5\cdot x +6\cdot x +24 = 2

11\cdot x = -22

x = 2

y = -9

e) x + y = 0 and 2\cdot x +3\cdot y = -2

y = -x

2\cdot x -3\cdot x = -2

-x = -2

x = 2

y = -2

f) 3\cdot x + 5\cdot y = 1 and x + y = 1

y = 1 - x

3\cdot x + 5 - 5\cdot x = 1

-2\cdot x = -4

x = 2

y = -1

g) 5\cdot x - 2\cdot y = 12 and 4\cdot x + 3\cdot y = 5

x = \frac{12+2\cdot y}{5}

x = \frac{5-3\cdot y}{4}

\frac{12+2\cdot y}{5} = \frac{5-3\cdot y}{4}

4\cdot (12+2\cdot y) = 5\cdot (5-3\cdot y)

48 + 8\cdot y = 25 - 15\cdot y

23\cdot y = -23

y = -1

x = 2

h) 7\cdot x + 8\cdot y = 23 and 3\cdot x + 2\cdot y = 7

3\cdot x + 2\cdot y = 7

12\cdot x + 8\cdot y = 28

8\cdot y = 28 - 12\cdot x

7\cdot x +28-12\cdot x = 23

-5\cdot x = -5

x = 1

y = 2

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The height of the telephone pole = 9 / 1.5 = 6 meters
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