Simplify the expression by arranging the steps in sequence based on the order of operations 1/6(30x+24)-1/7(63-7×)

Mathematics

1 answer:

alex41 [277]2 years ago

7 0

Answer:

6x-5

Step-by-step explanation:

We apply distributive property to get rid of the first parenthesis, by multiplying each term inside by the factor 1/6:

$\frac{1}{6} (30x+24)-\frac{1}{7} (63-7x)\\\frac{30}{6} x+\frac{24}{6} -\frac{1}{7} (63-7x)\\5x+4-\frac{1}{7} (63-7x)$

now we get rid of the second parenthesis by multiplying the factor " $-\frac{1}{7}$ " times each of the terms inside the parenthesis (notice here that this factor is negative , so it will flip the signs of the terms it multiplies):

$5x+4-\frac{1}{7} (63-7x)\\5x+4-\frac{63}{7} +\frac{7}{7} x\\5x+4-9+x$

Next we combine like terms:

$5x+4-9+x\\5x+x+4-9\\6x-5$

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|-4| - 8 + 10 = ???<br> answer for points

Elis [28]

Answer:

Step-by-step explanation:

As you might know, the two lines surrounding the -4 represent the absolute value, which is basically the distance from 0, and the distance is always positive. To clear any confusion, the absolute value of positive number will not be it's opposite because remember, distance is always positive, so absolute value is always positive (because it is basically the distance from zero).

To help, here is an example (that is not related to the problem!):

|-6| = 6

|6| = 6

<em>Now, back to the problem...</em>

Since you now know that the absolute value is always positive, |-4| would equal 4. So now you have:

4 - 8 + 10 = ???

From here, you can just solve and the answer is 6, so:

4 - 8 + 10 = 6

You final answer is 6.

Hope this helped somehow :D

4 0

2 years ago