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liraira [26]
3 years ago
9

1/2 (2x + 1) = 3 Solve for x

Mathematics
2 answers:
olga55 [171]3 years ago
8 0

To solve for x, you need to isolate/get the variable "x" by itself in the equation:

\frac{1}{2}(2x + 1)=3   Multiply the reciprocal of 1/2 on both sides, which is 2/1 or 2

2(\frac{1}{2} )(2x+1)=2(3)

2x + 1 = 6        Subtract 1 on both sides

2x + 1 - 1 = 6 - 1

2x = 5         Divide 2 on both sides to get "x" by itself

\frac{2x}{2} =\frac{5}{2}

x=\frac{5}{2}

dlinn [17]3 years ago
3 0

Answer:

\frac{1}{2} (2x + 1) = 3

x +  \frac{1}{2}  = 3

x = 3 -  \frac{1}{2}

x =  \frac{6 - 1}{2}

x =  \frac{5}{2}

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Which of the following pairs of numbers contains like fractions? A. 5⁄6 and 10⁄12 B. 3⁄2 and 2⁄3 C. 3 1⁄2 and 4 4⁄4 D. 6⁄7 and 1
ElenaW [278]
<h2>Hello!</h2>

The answers are:

A.

\frac{5}{6} and \frac{10}{12}

D.

\frac{6}{7} and 1\frac{5}{7}

<h2>Why?</h2>

To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.

We are given two fractions that are like fractions. Those fractions are:

Option A.

\frac{5}{6} and \frac{10}{12}

We have that:

\frac{10}{12}=\frac{5}{6}

So, we have that the pairs of numbers

\frac{5}{6}

and

\frac{5}{6}

Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.

Option D.

\frac{6}{7} and 1\frac{5}{7}

We have that:

1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}

So, we have that the pair of numbers

\frac{6}{7}

and

\frac{12}{7}

Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.

Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.

The other options are:

\frac{3}{2},\frac{2}{3}

and

3\frac{1}{2},4\frac{4}{4}

We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.

Hence, the answers are:

A.

\frac{5}{6} and \frac{10}{12}

D.

\frac{6}{7} and 1\frac{5}{7}

Have a nice day!

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Step-by-step explanation:

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<h3>Answer:</h3>

\large\boxed{-17x-21}

<h3>Step-by-step explanation:</h3>

In this question, we're simply combining "like-terms" in order to simplify the expression.

Lets solve:

-4+5x-17-22x\\\\\text{First, lets add 5x and -22x}\\\\-17x-4-17\\\\\text{Now we would add the -4 and -17. Adding 2 negatives still keeps it a negative}\\\\-17x-21

When you're done solving, you should get -17x-21

This means that -17x-21 would be the simplified version.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
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