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yan [13]
2 years ago
5

3/8 x 2/6 x 4/8 x 5/12

Mathematics
1 answer:
Hatshy [7]2 years ago
7 0

Answer:

\frac{5}{192}

Step-by-step explanation:

\frac{3}{8}*\frac{2}{6}*\frac{4}{8}*\frac{5}{12}\\\\\frac{3}{8}*\frac{1}{3}*\frac{1}{2}*\frac{5}{12}\\\\\frac{1}{8}*\frac{1}{3}*\frac{1}{2}*\frac{5}{4}\\\\\frac{5}{192}

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3x^2 -5x -2=0
Kipish [7]

Answer:

Step-by-step explanation:

1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)

Two numbers that work are -6 and +1

-6 x +1 = -6

-6 + -1 = -5

2. Split the middle term into the two numbers that you found.

3x^2 -6x +x -2 = 0

I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.

3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'

3x (x-2) +1 (x-2) = 0

4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.

(3x + 1) (x-2) = 0

5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.

3x + 1 = 0              x-2 = 0

3x = -1                   x = 2

x = -1/3

6. The solutions to this equation are x = 2 and x = -1/3

6 0
3 years ago
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HELPPPPPP FASTTTTTTT PLS
e-lub [12.9K]

Answer:

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Step-by-step explanation:

5 0
2 years ago
Umm i dont know why i am getting a different answer from the ones that are listed plz help
inessss [21]

Answer:

A.  5 : 3

Step-by-step explanation:

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Divide to the lowest terms

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2 years ago
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To convert 120 ounces to pounds which of
Novosadov [1.4K]

Answer:

7.5 pounds

Step-by-step explanation:

you divide 120 by 16 to get how many pounds is needed

6 0
3 years ago
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In ΔLMN, the measure of ∠N=90°, the measure of ∠M=17°, and MN = 20 feet. Find the length of LM to the nearest tenth of a foot.
andrey2020 [161]
20.9 ft
This is a right triangle trigonometry question because N is 90 degrees. MN is adjacent to M and LM is the hypotenuse. Adjacent any hypotenuse use the cosine function. 
cos \theta = \frac{adj}{hyp}
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cos(17) = \frac{20}{x}
switch cos(20) and x using the products property
x = \frac{20}{cos(17)}
plug into calculator to get 20.9 ft

3 0
2 years ago
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