Question

In the equation 0.75s-5/8 = 44, how do you combine the like terms?

Answer 1

Explanation:

In the given equation, the "like terms" are the constants 5/8 and 44.

It simplifies the math if we eliminate the fractions first. Note that 0.75 = 6/8, so now we have:

8(6/8)s - 8(5/8) = 44).

Multiplying all three terms by 8 (above) yields

8(6s) - 8(5) = 8(44), or

48s = 8(44 + 5), or 48s = 8(49)

Dividing both sides by 48 yields s: s = 8(49/48)

Review "like terms:" These are terms that have at least one characteristic in common. 5/8 and 44 are like terms because they are only constants (no variables are present). We must add 5/8 and 44. 0.75s does not have a "like term" in the given equation.

Answer 2

To solve the equation 0.75s - 5/8 = 44, add 5/8 to both sides to get 0.75s = 44 + 5/8. Convert 5/8 to a decimal if necessary and then divide both sides by 0.75 to solve for s.

To solve the algebraic equation 0.75s - 5/8 = 44, we first need to isolate the variable s. However, before we combine like terms, we should note that there are no like terms to combine in this case. Each term is distinct: one is a term with the variable s, and the other is a constant. The process involves moving the constant to the other side of the equation and then solving for s.

First, we add 5/8 to both sides of the equation:

0.75s - 5/8 + 5/8 = 44 + 5/8

This simplifies to:

0.75s = 44 + 5/8

To get rid of the fraction, you can convert the fraction to decimal or find a common denominator for 44 and 5/8. If we convert the fraction to decimal, the equation would be:

0.75s = 44.625

Now divide both sides by 0.75 to solve for s:

s = 44.625 / 0.75

The solution for s will be a numerical value that satisfies the original equation.