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3 years ago

7

Simplify , You may leave the numerator and denominator of your answer in factored form ?

1 answer:

ch4aika [34]3 years ago

8 0

For this fraction, we have (3x+2) in both the numerator and the denominator. So, they will be cancelled together.
Then we can notice that we can divide the coefficients in the numerator and the denominator by 9 as 36/9 = 4 and 9/9 = 1

So, the expression now becomes:
(x+7) / 4(x-5) which is the simplest form.

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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

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

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

$=8$

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

4 0

2 years ago

What is this fraction in simplest form 12/75 please help me this homework is so hard my teacher said just try your best

garri49 [273]

Answer:

4/25

Step-by-step explanation:

12 divided by 3

72 divided by 3

Greatest Common Divisor:

3

So 12/72 simplifed would be 4/25 and the GCD would be 3.

8 0

1 year ago

Use the graph to answer the question.

yulyashka [42]

The equation (X-4)2 + (y+1)2 = 25 best describes the circle.

3 0

1 year ago

Round 38.872601 to the nearest hundredths place

elixir [45]

<span>Round 38.872601 to the nearest hundredths place = </span>38.87

6 0

2 years ago

Which transformation of a figure will create an image that is not congruent to the

sattari [20]

Answer:B

Step-by-step explanation:because I got it correct

3 0

2 years ago