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Fed [463]
2 years ago
14

Which choice gives a valid first step to solve 2(w − 3) = 5? Exclude any choice where the explanation for the step is false.

Mathematics
1 answer:
UNO [17]2 years ago
7 0

Answer:

D. Use the Distributive Property. You clear the parentheses and then solve the two-step equation.

Step-by-step explanation:

Given problem;

         2(w − 3) = 5

To solve this problem:

   Use the distributive property to clear the parentheses;

     2w - 6 = 5

 Then, collect like terms, add 6 to both sides;

    2w  = 5 + 6

    2w  = 11

  Now divide both terms by 2

     w = \frac{11}{2}  

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Check each set that includes the number shown.
zavuch27 [327]

Answer:

Fourth option.

Sixth option.

Step-by-step explanation:

We know that:

- Any number you can find on the number line, is a Real number.

- Integers contains positive numbers, negative numbers and zero. Every Integer is a Rational number.

- A Rational number is that number that can be written in the following form:

\frac{a}{b}

Where "a" and "b" are integers (b\neq 0).

- An Irrational number cannot be written as a simple fraction.

- A Whole number is any of the numbers {{0, 1, 2, 3...}}. Every Whole number is a Rational number.

- Natural numbers contain  the set of positive integers{{1, 2, 3...}} or to the set of nonnegative integers {{0, 1, 2, 3...}}, Every Natural number is a Rational number.

 Based on this, since \frac{5}{9} is in the form \frac{a}{b} where a=5 and b=9, it is a Rational Number and therefore a Real number.

7 0
2 years ago
Meg used this table to track the average attendance from month to month at her theater for five months. A 5-column table with 1
White raven [17]

Answer:

B - Her monthly average would have increased by $19.57. ... Katie works as a waitress and records her monthly tips in the table shown below. If Katie decided not to work the month of November, how would her five month average compare to her six month ... Lisa is currently taking physics as one of her electives in school.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A rectangular garden is 6 feet long and 4 feet wide. A second rectangular garden has dimensions that are double the dimensions o
sergey [27]

Answer:

100 percent increase

Step-by-step explanation:

1st garden

Length = 6 ft

Width = 4 ft

Perimeter = 2 (l+w)

                 = 2 (6+4) = 2(10) = 20

2nd garden

The length and width are 2 times the 1st garden

Length = 2 *6 = 12

Width = 2 *4 = 8

Perimeter = 2 (l+w)

                 = 2 (12+8) = 2(20) = 40

Percent change = (new - old )/old * 100 percent

The 1st garden is the old garden = 20  and the 2nd garden is the new garden = 40

Substituting in

Percent change = (40-20)/20 = 20/20 =100 *100 percent

                            = 100 percent increase

5 0
2 years ago
Solve the equation, keeping the value for x as an improper fraction. 23x = − 12x + 5 1.Isolate the variable by adding 12x to bot
kogti [31]

Answer:

x=\frac{30}{7}

Step-by-step explanation:

We have been given an equation \frac{2}{3}x=-\frac{1}{2}x+5. We are asked to solve our given equation.

First of all, we will add \frac{1}{2}x on both sides of equation to separate x variable on one side of equation.

\frac{2}{3}x+\frac{1}{2}x=-\frac{1}{2}x+\frac{1}{2}x+5

\frac{2}{3}x+\frac{1}{2}x=5

Now, we will make a common denominator.

\frac{2*2}{3*2}x+\frac{1*3}{2*3}x=5

\frac{4}{6}x+\frac{3}{6}x=5

Add numerators:

\frac{4+3}{6}x=5

\frac{7}{6}x=5

Upon multiply both sides of our equation by \frac{6}{7}, we will get:

\frac{6}{7}*\frac{7}{6}x=5*\frac{6}{7}

x=\frac{5*6}{7}

x=\frac{30}{7}

Therefore, the solution for our given equation is x=\frac{30}{7}.

5 0
2 years ago
Read 2 more answers
What are the solutions of the compound inequality 2d + 3 ≤ –11 or 3d – 9 > 15?
pentagon [3]

Step-by-step explanation:

1.

2d + 3 \leqslant  - 11 \\ 2d \leqslant  - 11 - 3 \\ 2d \leqslant  - 14 \\  \frac{2d}{2}  \leqslant  \frac{ - 14}{2}  \\ d \leqslant - 7

2.

3d - 9 > 15 \\ 3d > 15 + 9 \\ 3d > 24 \\  \frac{3d}{3}  >  \frac{24}{3}  \\ d = 8

Welcome

3 0
2 years ago
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