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3 years ago

Use the distributive property to simplify the expression.

Mathematics

1 answer:

KatRina [158]3 years ago

7 0

The first one is A while the second one is B
5 + 3(2x +4) + 6
5 + 6x + 12 + 6
5 + 12 + 6 +6x
= 23 + 6x

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Juans three math quizzes this week took him 1/3?4/6?and1/5 hour to complete. List all the fraction from least to greatest

Alex

Answer:

$\frac{1}{5}$ , $\frac{1}{3}$ , $\frac{4}{6}$ .

Step-by-step explanation:

Given fractions $\frac{1}{3}$ , $\frac{4}{6}$ , $\frac{1}{5}$ .

We need to list them from least to greatest.

In order to arrange them from least to greatest, we need to find the least common denominator of $\frac{1}{3}$ , $\frac{4}{6}$ , $\frac{1}{5}$ .

We have 3, 6 and 5 in denominators.

Least common multiple of 3, 6 and 5 is = 30, because 30 is least number that can be divided by all three number 3, 6 and 5.

Let us covert each denominator as 30.

Multiplying first fraction $\frac{1}{3}$ by 10 in top and bottom, we get

$\frac{1}{3} = \frac{1\times10}{3\times10}=\frac{10}{30}$

Multiplying first fraction $\frac{4}{6}$ by 5 in top and bottom, we get

$\frac{4}{6} = \frac{4\times5}{6\times5}=\frac{20}{30}$

Multiplying first fraction $\frac{1}{5}$ by 6 in top and bottom, we get

$\frac{1}{5} = \frac{1\times6}{5\times6}=\frac{6}{30}.$

Now, we can check $\frac{10}{30}, \frac{20}{30} \ and \ \frac{6}{30}.$

$\frac{6}{30}$ is the smallest, $\frac{10}{30}$ is greater and $\frac{20}{30}$ is the greatest.

Therefore, we can arrange fractions $\frac{6}{30}, \frac{10}{30} \ and \ \frac{20}{30}.$

Writing original fractions in place of equivalent fractions, we can write

$\frac{1}{5}$ , $\frac{1}{3}$ and $\frac{4}{6}$ .

Therefore, the order the amounts of paint from least to greatest is:

$\frac{1}{5}$ , $\frac{1}{3}$ , $\frac{4}{6}$ .

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3 years ago

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3 years ago

2x+3(x-4)=4(2x+3) solving one linear equation form

Art [367]

Answer:

x= -8

Step-by-step explanation:

2x+3x-12=8x+12

5x-12=8x+12

5x-8x=12+12

-3x=24

24/-3

x= -8

4 0

3 years ago

PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

pishuonlain [190]

Answer:

3-i

Step-by-step explanation:

1-5i + 2 +4i

We add the real parts

1+2 =3

We add the imaginary parts

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3-i

6 0

3 years ago

The average capacity of five containers is 13 liters. A container with a capacity of 7 liters is added to the set of 5. What is

Zepler [3.9K]

Answer:

12 liters

Step-by-step explanation:

Let the capacity sum of the 5 containers be X

13 = X / 5

X = 65 liters

Average capacity of the six = ( 65 + 7 )/ 6 liters

= 72/6 liters

= 12 liters

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3 years ago