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alex41 [277]
3 years ago
12

PLEASE HELP, ITS URGENT I WILL GIVE BRAINLY...

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
6 0

Answer:

Cost of the box of pencils = x = $4

Cost of the notebook = x+2 = 4+2 = $6

Cost of package of pens = 3x = 3(4) = $12

Step-by-step explanation:

Let the cost of the box of pencils = x

Cost of the notebook = 2 more than the pencils cost = x+2

Cost of package of pens = 3 times the pencils cost = 3x

The total was $22, so we can say:

(x)+(x+2)+(3x) = 22

5x=22-2

x=20/5

x=$4

Cost of the box of pencils = x = $4

Cost of the notebook = x+2 = 4+2 = $6

Cost of package of pens = 3x = 3(4) = $12

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3 years ago
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.

(C) -3x\leq 21

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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