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3 years ago

How do you Simplify 3/12?

Mathematics

2 answers:

Semmy [17]3 years ago

5 0

The answer would be 1/4 and decimal form is 0.25

densk [106]3 years ago

3 0

You need to find a number that can go into both 3 and 12. 3 can go into 3 and 12. So, you would then find out, how many times does 3 go into this number? Well, 3 goes into 3 once of course, and 3 goes into 12 four times. (3 x 4 = 12) In a fraction, this would be 1/4. (1/4 is the simplification of 3/12)

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The texture in this Klimt painting is?

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Step-by-step explanation:

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3 years ago

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Which of the following is an extraneous solution of the square root of -3x-2=x+2

yarga [219]

Answer:

x=-6 is an extraneous solution

Step-by-step explanation:

we have

$\sqrt{-3x-2} =x+2$

squared both sides

$-3x-2=(x+2)^2$

$-3x-2=x^2+4x+4$

$x^2+7x+6=0$

solve the quadratic equation by graphing

The solution is x=-6 and x=-1

see the attached figure

Verify each solution

substitute the value of x in the original expression

For x=-6

$\sqrt{-3(-6)-2} =-6+2$

$\sqrt{16} =-4$

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Is an extraneous solution

For x=-1

$\sqrt{-3(-1)-2} =-1+2$

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3 years ago

Gabriella swims 2 laps per minute. What is the associated rate? ___ minute per lap

Leokris [45]

Answer:

The answer is D.

Step-by-step explanation:

It is given that Gabriella swims 2 laps for 1 minute. So in order to find how many minutes did he swim for each lap, you have to divide it by 2 :

2 laps = 1 minute

2 laps ÷ 2 = 1 minute ÷ 2

1 lap = 1/2 minute

= 30 seconds

Test :

Gabriella swim 1/2 min per lap. So if he swim 2 laps, you have to multiply it by 2 :

1/2 × 2 = 1 minute

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Answer:

The answer is D.

Step-by-step explanation:

We have to apply Discriminant Law. When a quadratic equation, ax² + bx + c = 0 has equal roots so the discriminant will be 0. Then, you have to substitute the values into the formula :

$D = {b}^{2} - 4ac$

$let \: D = 0 ,a = 2,b = k,c = k$

$0 = {k}^{2} - 4(2)(k)$

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$k = 0$

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$k = 8$

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4 years ago