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3 years ago

PLS HELP! WILL MARK BRAINLIEST!

Mathematics

1 answer:

mr Goodwill [35]3 years ago

4 0

Answer:

9 litres of tomato concentrate

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Find the value of the variable y, where the sum of the fractions 6/(y+1) and y/(y-2) is equal to their product.

Blizzard [7]

Answer:

The answer is

$y = 3$

$y = - 4$

Step-by-step explanation:

We must find a solution where

$\frac{6}{y + 1} + \frac{y}{y - 2} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Consider the Left Side:

First, to add fraction multiply each fraction on the left by it corresponding denomiator and we should get

$\frac{6}{y + 1} \times \frac{y - 2}{y - 2} + \frac{y}{y - 2} \times \frac{y + 1}{y + 1}$

Which equals

$\frac{6y - 12}{(y -2) (y + 1)} + \frac{ {y}^{2} + y }{(y - 2)(y + 1)}$

Add the fractions

$\frac{y {}^{2} + 7y - 12 }{(y - 2)(y + 1)} = \frac{6}{y + 1} \times \frac{y}{y - 2}$

Simplify the right side by multiplying the fraction

$\frac{6y}{(y + 1)(y + 2)}$

Set both fractions equal to each other

$\frac{6y}{(y + 1)(y - 2)} = \frac{ {y}^{2} + 7y - 12}{(y + 1)(y - 2)}$

Since the denomiator are equal, we must set the numerator equal to each other

$6y = {y}^{2} + 7y - 12$

$= {y}^{2} + y - 12$

$(y + 4)(y - 3)$

$y = - 4$

$y = 3$

6 0

3 years ago

Read 2 more answers

Tyler filled up his hot tub, which is a right rectangular prism, with 480 cubic feet of water. The hot tub is 12 feet long and 1

Novosadov [1.4K]

Answer:

volume for a rectangular prism is length*width*height

480 = l * w * h (the volume equal to the equation. plug in values you know)

480 = 12 * 10 * h (multiply the right side)

480 = 120h (divide both sides by 120 to isolate the height)

height = 4 feet

height of the bathtub and depth are the same thing, so your answer is 4 feet

Step-by-step explanation:

I hope this helps :))

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3 years ago

1/8 = 2/5 times X . What is X

kirza4 [7]

Answer: 5/16

Step-by-step explanation:

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3 years ago

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PLEASE HELP!!! Write an absolute value equation representing all numbers x whose distance from 0 is 10 units.

tangare [24]

X would be the absolute value of 10 or -10 since they both are 10 units from 0 so it can be x=l10l or x=l-10l, they both equal 10

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4 years ago

A 50% increase followed by 33% decrease is a greater than original less than original or same as original

Blababa [14]

A 50% increase followed by a 33% decrease leaves you with a constant 17% increase. It is less than the original.

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3 years ago