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3 years ago

Find the values of x and y if (-x + 5, 1) = (-y, 2x - 5y).

Mathematics

1 answer:

MrMuchimi3 years ago

7 0

Answer:

x = 8, y = 3

Step-by-step explanation:

Equating corresponding x and y coordinates , then

- y = - x + 5 ( multiply through by - 1 )

y = x - 5 → (1)

2x - 5y = 1 → (2)

Substitute y = x - 5 into (2)

2x - 5(x - 5) = 1 ← distribute and simplify left side

2x - 5x + 25 = 1

- 3x + 25 = 1 ( subtract 25 from both sides )

- 3x = - 24 ( divide both sides by - 3 )

x = 8

Substitute x = 8 into (1) for corresponding value of y

y = 8 - 5 = 3

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Two persons work together at the local aquarium. It takes the first person 120 minutes to clean the jellyfish tanks. Since the s

matrenka [14]

Answer:

168 minutes

Step-by-step explanation:

It takes 120 minutes for the first person to clean the jellyfish tank.

This means that in 1 minute the first person cleans $\frac{1}{120}$ of the tank.

Let the time taken by the second person working alone to clean the tank be x minutes.

Then in 1 minute the second person cleans $\frac{1}{x}$ of the tank.

Working together, the two persons clean,

$\frac{1}{120} + \frac{1}{x}$ of the tank

But it is given that the two persons working together can clean the tank in 70 minutes. This means that in 1 minute both of them can clean $\frac{1}{70}$ of the tank.

Expressing in equation form:

$\frac{1}{120} + \frac{1}{x} = \frac{1}{70}$

$=> \frac{1}{x} = \frac{1}{70} - \frac{1}{120}$

$=> \frac{1}{x} = \frac{12-7}{840}$

$=> \frac{1}{x} = \frac{5}{840}$

$=> \frac{1}{x} = \frac{1}{168}$

$=> x = 168$

This means that the second person can clean the tank in 168 minutes.

7 0

3 years ago

Long will it take 2 me

ryzh [129]

36 72
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etc.. answer is 216

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3 years ago

What potential rational root is -2/5

vovangra [49]

Answer:

180

Step-by-step explanation:

180 is the left

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IRINA_888 [86]

Lets say fruit is F ans sugar is S
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4 years ago

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kondaur [170]

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