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Leto [7]
3 years ago
13

Simplify the following expression by distributing and combining like terms 6(x - 4) + 10(2x + 3)

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
3 0

Answer:

6x - 24 + 20x + 30

Step-by-step explanation:

I got this because when you have an equation that you have to use the distributive property on you always do that first. So therefore if you correctly distribute the equation:

6(x - 4) + 10(2x + 3)

6x - 24 + 20x + 30

When using the distributive property, you use the term that is in front  of the parenthesis and multiply the outside term by the inside term(s). Now for combining like terms you combine the terms that are similar. There are two different types of terms in this equation: constant and term with variable. However, there are 4 total terms in this equation. If you correctly combine your like terms you should get this:

26x + 6

I got this by combining the two terms 6x and 20x. They both have the variable 'x' therefore they are like terms. I also combined the two like terms -24 and 30.

I hope this is helpful!

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Pedro wants to walk from the historic village to the science center. Then he will walk from the science center to the museum. If
MrRissso [65]

Answer:

5 hours

Step-by-step explanation:

Speed = 2 7/ 10 miles per hour

From the chart attached :

Distance between historic village and science center : (-4 1/2, 5 1/4) to (-4 1/2, -1 3/4)

Taking the sum of the absolute value of the y coordinate :

|5 1/4| + |-1 3/4| = 5 + 1 + 1/4 + 3/4 = 7

From science center to museum :

(-4 1/2, - 1 3/4) to (2, - 1 3/4)

Taking the sum of the absolute value of the x coordinate :

|4 1/2| + |2| = 4 + 2 + 1/2 = 6 1/2

Total distance traveled = 7 + 61/2 = 13 1/2 miles

Time taken = Distance / speed

Time taken = 13 1/2 ÷ 2 7/10

Time taken = 27/2 * 10/27

Time taken = 10/2

Time taken = 5 hours

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3 years ago
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Keith_Richards [23]

Those ratios are not equivalent because 240 divided by 16 is 15 and 560 divided by 28 is 20.

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