If (1)/(2)+(2)/(5)s=s-(3)/(4), what is the value of s ? Choose 1 answer: (A) s=(3)/(4) (B) s=(25)/(12) (C) s=-(25)/(12) (D) s=-(3)/(4)

Write and Identify Equation: Write down the given equation and identify the type of problem. We have the equation (1/2) + (2/5)s = s - (3/4). This is a linear equation in one variable, s.Combine Like Terms: Combine like terms by moving all terms involving s to one side of the equation and constants to the other side. Subtract (2/5)s from both sides to get all the s terms on one side: (1/2) = s - (2/5)s - (3/4).Find Common Denominator: Find a common denominator for the constants and combine them. The common denominator for 2 and 4 is 4, so we convert (1/2) to (2/4): (2/4) = s - (2/5)s - (3/4).Combine Constants: Combine the constants on the right side of the equation. (2/4) - (3/4) = s - (2/5)s. This simplifies to: (-1/4) = s - (2/5)s.Combine Like Terms with s: Combine like terms involving s on the right side of the equation. To combine s - (2/5)s, we need a common denominator for the coefficients of s, which is 5: (-1/4) = (5/5)s - (2/5)s. This simplifies to: (-1/4) = (3/5)s.Solve for s: Solve for s by dividing both sides of the equation by the coefficient of s. Divide both sides by (3/5) to isolate s: s = (-1/4) / (3/5).Calculate Value of s: Calculate the value of s. To divide by a fraction, we multiply by its reciprocal: s = (-1/4) * (5/3). This simplifies to: s = -5/12.

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If
(1)/(2)+(2)/(5)s=s-(3)/(4), what is the value of
s ?
Choose 1 answer:
(A)
s=(3)/(4)
(B)
s=(25)/(12)
(C)
s=-(25)/(12)
(D)
s=-(3)/(4)

If $\frac{1}{2}+\frac{2}{5}s=s-\frac{3}{4}$ , what is the value of $s$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $s=\frac{3}{4}$ $\newline$ (B) $s=\frac{25}{12}$ $\newline$ (C) $s=-\frac{25}{12}$ $\newline$ (D) $s=-\frac{3}{4}$

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Algebra 1

Compare linear and exponential growth

Full solution

Q. If

\frac{1}{2}+\frac{2}{5}s=s-\frac{3}{4}

, what is the value of

s

\newline

Choose

1

answer:

\newline

(A)

s=\frac{3}{4}

\newline

(B)

s=\frac{25}{12}

\newline

(C)

s=-\frac{25}{12}

\newline

(D)

s=-\frac{3}{4}

Write and Identify Equation: Write down the given equation and identify the type of problem. $\newline$ We have the equation $(\frac{1}{2}) + (\frac{2}{5})s = s - (\frac{3}{4})$ . This is a linear equation in one variable, $s$ .
Combine Like Terms: Combine like terms by moving all terms involving $s$ to one side of the equation and constants to the other side. $\newline$ Subtract $\frac{2}{5}s$ from both sides to get all the $s$ terms on one side: $\newline$ $\frac{1}{2} = s - \frac{2}{5}s - \frac{3}{4}$ .
Find Common Denominator: Find a common denominator for the constants and combine them. $\newline$ The common denominator for $2$ and $4$ is $4$ , so we convert $(1/2)$ to $(2/4)$ : $\newline$ $(2/4) = s - (2/5)s - (3/4)$ .
Combine Constants: Combine the constants on the right side of the equation. $\newline$ $(\frac{2}{4}) - (\frac{3}{4}) = s - (\frac{2}{5})s.$ $\newline$ This simplifies to: $\newline$ $(-\frac{1}{4}) = s - (\frac{2}{5})s.$
Combine Like Terms with $s$ : Combine like terms involving $s$ on the right side of the equation. $\newline$ To combine $s - \frac{2}{5}s$ , we need a common denominator for the coefficients of $s$ , which is $5$ : $\newline$ $\left(-\frac{1}{4}\right) = \left(\frac{5}{5}\right)s - \left(\frac{2}{5}\right)s.$ $\newline$ This simplifies to: $\newline$ $\left(-\frac{1}{4}\right) = \left(\frac{3}{5}\right)s.$
Solve for s: Solve for s by dividing both sides of the equation by the coefficient of s. $\newline$ Divide both sides by $(\frac{3}{5})$ to isolate s: $\newline$ $s = \frac{-\frac{1}{4}}{\frac{3}{5}}$ .
Calculate Value of $\newline$ : Calculate the value of $s$ . $\newline$ To divide by a fraction, we multiply by its reciprocal: $\newline$ $s = (-\frac{1}{4}) \times (\frac{5}{3})$ . $\newline$ This simplifies to: $\newline$ $s = -\frac{5}{12}$ .