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nadezda [96]
3 years ago
14

-6(1 + 2x) + 6x = 6(-3x - 3)

Mathematics
1 answer:
Maksim231197 [3]3 years ago
7 0

Answer:

x = - 1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

PLEASE MARK BRAINLIEST!!

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Justify each step of the solution by stating the property that was used to get to each step.
trapecia [35]

For this case we have the following expression:

4.5 (8-x) + 36 = 102-2.5 (3x + 24)

Applying distributive property to the terms within parentheses we have:

36-4.5x + 36 = 102-7.5x-60

We add similar terms on both sides of equality considering that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

72-4.5x = 42-7.5x

We add 7.5x to both sides of equality:

72 + 3x = 42

We subtract 72 from both sides of equality:

3x = -30

We divide between 3 on both sides of equality

x = -10

ANswer:

Distributive property

Add similar terms

Equality property of the sum

Equality subtraction property

Equality property of the division

3 0
3 years ago
Gina's literacy bucket weighs 6 pounds. Her novel weighs 1 4/6 pounds, and her chrome book weighs 2 1/6 how much would her bucke
Paraphin [41]

Answer:

2\frac{1}{6} pounds.

Step-by-step explanation:

We have been given that Gina's literacy bucket weighs 6 pounds. Her novel weighs 1 4/6 pounds, and her chrome book weighs 2 1/6.

To find weight of bucket after taking out the two items, we will subtract weight of each item from 6 pounds as:

\text{Weight of bucket}=6-1\frac{4}{6}-2\frac{1}{6}

Let us convert mixed fractions into improper fractions as:

1\frac{4}{6}=\frac{6\cdot 1+4}{6}=\frac{10}{6}\\\\2\frac{1}{6}=\frac{6\cdot 2+1}{6}=\frac{12+1}{6}=\frac{13}{6}

\text{Weight of bucket}=6-\frac{10}{6}-\frac{13}{6}

\text{Weight of bucket}=\frac{6\cdot 6}{6}-\frac{10}{6}-\frac{13}{6}

\text{Weight of bucket}=\frac{36}{6}-\frac{10}{6}-\frac{13}{6}

Combine numerators:

\text{Weight of bucket}=\frac{36-10-13}{6}

\text{Weight of bucket}=\frac{13}{6}

\text{Weight of bucket}=2\frac{1}{6}

Therefore, the weight of the bucket is 2\frac{1}{6} pounds.

6 0
4 years ago
On a standardized exam, the scores are normally distributed with a mean of 250 and
fredd [130]

Answer:

the z-score is within 3

Step-by-step explanation:

first you got to take the standard deviation and add it to the mean since 375 is greater than 250. so the equastion would be

250+50=300+50=350+50=40

so the z-score for the value of 375 is within 3      

7 0
3 years ago
Write 3% two different ways. Explain how you know this.
Marysya12 [62]

Answer:

0.03

3/100

Step-by-step explanation:

because 3 percent of a hundred can be written as a fraction and 3 percent is three one hundreths which can be written as a decimal.

3 0
3 years ago
-15x+20y=60 please HELPPPP
Dvinal [7]
Solving for x

-15x+20y=60
-15x=60-2y
x= (-4+4/3)
x=(-8/3) Answer
7 0
3 years ago
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