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3 years ago

(PLEASE HELP)

Mathematics

2 answers:

Tom [10]3 years ago

5 0

Answer:

B. Collect like terms

Step-by-step explanation:

The first step is to subtract $20x$ from each side of the equation, and we have the following

$20x + 5y -20x=40-20x$

We can see that on the left side of the equation we have <u>like terms</u> (the two terms containing x)

so the next step is to combine or collect those like terms $20x$ and $-20x$ to simplify the expression:

$(20x-20x)+5y=40-20x\\5y=40-20x$

We are not distributing or eliminating the $x$ (because there is still a term with x on the right side), nor are we completely isolating the $y$ yet.

What was done in this step was to collect like terms.

stich3 [128]3 years ago

4 0

Answer:

Step-by-step explanation:

Because you should be subtract each other by 20x to transfer from side to another side.

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Given that $x \le -7,$ identify all the correct conclusions. (A) $3x \le -21.$ (B) $3x \ge -21.$ (C) $-3x \le 21.$ (D) $-3x \ge

exis [7]

Answer:

Options A and D are correct choices.

Step-by-step explanation:

We have been given an inequality $x\leq -7$ and we are asked to find the correct options from our given choices.

Let us solve inequalities in our given options one by one to see which of these matches with our given inequality.

(A) $3x\leq -21$

$x\leq \frac{-21}{3}$

$x\leq -7$

We can see that option A gives the same answer as our given inequality, therefore, option A is the correct choice.

(B) $3x\geq -21$

$x\geq \frac{-21}{3}$

$x\geq -7$

This inequality represented in option C gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option B is incorrect.

Dividing inequality by a negative number swaps inequality sign.

$x\geq \frac{21}{-3}$

$x\geq -7$

This inequality gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option C is incorrect.

(D) $-3x\geq 21$

Dividing inequality by a negative number swaps inequality sign.

$x\leq \frac{21}{-3}$

$x\leq -7$

We can see that option D gives the same answer as our given inequality, therefore, option D is the correct choice.

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3 years ago

A bookcase has 6 shelves.

xeze [42]

Answer:

21 books are on each shelf.

Step-by-step explanation:

To solve this you need to divide 130 and 6 so you should get 21 with a remainder of 4 which is the amount of books on each shelf and the amount of books that are left over.

I hope this helps :D

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3 years ago

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Arte-miy333 [17]

I hate dividing fractions but I think -2/16 off of my best hunch.

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Which of the following graphs correctly represents the inequality 3y≤6x+4?

Pavel [41]

Answer:

the last graph where the point is on the number 4 on the y intercept

Step-by-step explanation:

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3 years ago

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nataly862011 [7]

Answer:

Step-by-step explanation:

since this is rhombus 1 2 3 4 must be equal

|NP|=|MN|

so 180-120=60

60/2=30

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2 years ago

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