Solve for s and simplify your answer. 4=-(6)/(5)s Answer:

Understand the equation: Understand the equation. The equation given is 4 = -(6/5)s, which means we need to solve for the variable s.Isolate the variable s: Isolate the variable s. To isolate s, we need to get rid of the fraction and the negative sign. We can do this by multiplying both sides of the equation by -5/6. (-5/6) * 4 = (-5/6) * (-(6/5)s)Perform left side multiplication: Perform the multiplication on the left side of the equation. (-5/6) * 4 = -20/6Simplify the left side: Simplify the left side of the equation. -20/6 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. -20/6 = -10/3Perform right side multiplication: Perform the multiplication on the right side of the equation. (-5/6) * (-(6/5)s) = s The negative signs cancel each other out, and the fractions (5/6) and (6/5) are reciprocal, so they multiply to 1.Write simplified equation: Write down the simplified equation. -10/3 = s

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Math Problems

Grade 7

Powers with decimal and fractional bases

Full solution

Q. Solve for

s

and simplify your answer.

\newline

4=-\frac{6}{5} s

\newline

Answer:

Understand the equation: Understand the equation. $\newline$ The equation given is $4 = -\left(\frac{6}{5}\right)s$ , which means we need to solve for the variable $s$ .
Isolate the variable $s$ : Isolate the variable $s$ . To isolate $s$ , we need to get rid of the fraction and the negative sign. We can do this by multiplying both sides of the equation by $-\frac{5}{6}$ . \left(-\frac{$5$}{$6$}\right) \times \(4 = \left(-\frac{ $5$ }{ $6$ }\right) \times \left(-\frac{ $6$ }{ $5$ }s\right)
Perform left side multiplication: Perform the multiplication on the left side of the equation. $\newline$ $(-\frac{5}{6}) \times 4 = -\frac{20}{6}$
Simplify the left side: Simplify the left side of the equation. $\newline$ $-\frac{20}{6}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $-\frac{20}{6} = -\frac{10}{3}$
Perform right side multiplication: Perform the multiplication on the right side of the equation. $\newline$ $(-\frac{5}{6}) \times (-(\frac{6}{5})s) = s$ $\newline$ The negative signs cancel each other out, and the fractions $(\frac{5}{6})$ and $(\frac{6}{5})$ are reciprocal, so they multiply to $1$ .
Write simplified equation: Write down the simplified equation. $\newline$ $-\frac{10}{3} = s$