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3 years ago

Explain the steps involved in adding two rational expressions. DONE

Mathematics

1 answer:

Helen [10]3 years ago

8 0

Answer

Step-by-step explanation: example

5/(X+2). + 2/(X+1)

Common denominator. Is both (X+2)(X+1)

So the first fraction needs (X+1) since it already has (X+2) the second fraction needs ( X+2)

5(X+1). / (X+2)((X+1) +. 2/(X+2)/(X+1)

So multiply 5 with X then 5 with 1 and 2 times X and 2 times 2

5x+5 + 2x+4 / (X+2)((X+1)

Answer 7x+9/ (X+2)(X+1)

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Could somebody check my work and tell me if it's right? If its wrong, please tell me where I went wrong.

vodka [1.7K]

Answer:

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3 years ago

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1 year ago

Read 2 more answers

How many liters of 60% alcohol solution should be added to 40 liters of a 20% alcohol solution to make a 50% solution?

kolbaska11 [484]

Answer:

120 liters of 60% alcohol solution is needed

Step-by-step explanation:

Let's assume

x liters of 60% alcohol solution is added

so, we get solution as

$=\frac{60}{100}\times x$

$=0.6x$

we are given

40 liters of a 20% alcohol solution is

$=40\times\frac{20}{100}$

$=8$

so, total alcohol solution is

$=8+0.6x$

now, we can find total solutions

total solutions is

$=x+40$

now, it is making 50% solution

so, we get

$\frac{8+0.6x}{x+40} =\frac{50}{100}$

now, we can solve for x

$\left(8+0.6x\right)\cdot \:100=\left(x+40\right)\cdot \:50$

$800+60x=50x+2000$

$10x=1200$

$x=120$

So,

120 liters of 60% alcohol solution is needed

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2 years ago

32/9 as mixed number

bezimeni [28]

9 can only go into 32, three times so you will have 5 leftover so that can be written as 3 5/9. You can also check this by taking the denominator of 9 and multiplying it by the whole number 3..this is 27 and then add the numerator 5 to it.
So 9*3+5= 32 and then add a denominator.. 32/9.

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3 years ago

What is the slope of this line? Enter your answer as a whole number or a fraction in simplest form in the box

hoa [83]

Answer: w<4

Step-by-step explanation:

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3 years ago