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ElenaW [278]
3 years ago
12

What is the value of X? 3 (x - 2) + 5x = 18

Mathematics
2 answers:
Fudgin [204]3 years ago
6 0
3x - 6 (distribute the 3 to each item in ()
3x - 6 + 5x = 18
8x - 6 = 18 combine like terms
     +6    =6
8x = 24
__    __
8      8
x = 3
lana66690 [7]3 years ago
5 0
Multiply everything in the parenthesis by 3.

3x - 6 + 5x = 18

Combine like terms.

8x - 6 = 18

Add 6 to both sides.

8x = 24

Divide both sides by 8.

x = 3

Hope this helps!
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Step-by-step explanation:

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Is (-1,4) a solution of the inequality y<2x+5
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No, (-1,4) is not a solution.

Step-by-step explanation:

This is actually a simple problem...don't overcomplicate it!

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4 years ago
A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work must be shown. If an examinee
IrinaVladis [17]

Answer:

720 ways

Step-by-step explanation:

Generally, combination is expressed as;

                                  ^{n} C_{r} = \frac{n!}{r!(n-r)!}

The question consists of 9 multiple-choice questions and examinee must answer 7 of the multiple-choice questions.

                                   ⇒ ⁹C₇ =\frac{9!}{7!(9-7)!}

                                        =\frac{9!}{7!(2)!}

                                        = 36

The question consists of 6 open-ended problems and examinee must answer 3 of the open-ended problems.

                                    ⇒ ⁶C₃ =\frac{6!}{3!(6-3)!}

                                         =\frac{6!}{3!(3)!}

                                         = 20

Combining the two combinations to determine the number of ways the questions and problems be chosen if an examinee must answer 7 of the multiple-choice questions and 3 of the open-ended problem.

                                        ⁹C₇ × ⁶C₃

                                       = 36 × 20

                                       = 720 ways  

3 0
3 years ago
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