PLEASE HELP!!! True or false 3(x-2) and 3x-6 are equivalent
2 answers:
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1/4x - 2 = 3/8
First, to start solving this, we can rearrange our fraction. Let's take 1/4x and change it to x/4. Why? Well, a variable can also be considered as the number 1.
Second, now we can continue solving for our variable (x). Let's add 2 to each side.
Third, let's simplify 3/8 + 2. (3/8 + 2 = 2.375 =19/8)
Fourth, continue trying to get the variable by itself. Multiply each side by 4.
Fifth, let's simplify 19/8 × 4. This is simple. Leave the denominator be and just do 19 × 4, which equals 76.
Sixth, our final step is to simplify our fraction. To do so, we will need to list the factors of the numerator and denominator and find the greatest common factor (GCF).
Factors of 76: 1, 2, 4, 19, 38, 76
Factors of 8: 1, 2, 4, 8
Since 4 is our first common factor, it is considered our GCF.
Seventh, now let's divide. Divide both the numerator and denominator by the GCF (4) to create our new simplified fraction.
Answer in fraction form:
Answer in decimal form:
First, to start solving this, we can rearrange our fraction. Let's take 1/4x and change it to x/4. Why? Well, a variable can also be considered as the number 1.
Second, now we can continue solving for our variable (x). Let's add 2 to each side.
Third, let's simplify 3/8 + 2. (3/8 + 2 = 2.375 =19/8)
Fourth, continue trying to get the variable by itself. Multiply each side by 4.
Fifth, let's simplify 19/8 × 4. This is simple. Leave the denominator be and just do 19 × 4, which equals 76.
Sixth, our final step is to simplify our fraction. To do so, we will need to list the factors of the numerator and denominator and find the greatest common factor (GCF).
Factors of 76: 1, 2, 4, 19, 38, 76
Factors of 8: 1, 2, 4, 8
Since 4 is our first common factor, it is considered our GCF.
Seventh, now let's divide. Divide both the numerator and denominator by the GCF (4) to create our new simplified fraction.
Answer in fraction form:
Answer in decimal form:
Answer: Width of box is not taken up by pencils =
Width of each pencil
Step-by-step explanation:
Given: Width of pencil box =
Width of seven pencils =
Width of box is not taken up by pencils = Width of pencil box - Width of seven pencils
Width of box is not taken up by pencils =
Width of each pencil = (Width of seven pencils ) ÷ 7
Width of each pencil