Solve for x. (10)/(3)=(x)/(6) Answer:

Identify method: Identify the cross-multiplication method to solve the proportion. To solve the equation (10/3) = (x/6), we can cross-multiply to find the value of x.Cross-multiply terms: Cross-multiply the terms of the proportion. (10/3) * 6 = x * 3Perform multiplication: Perform the multiplication on the left side of the equation. 10 * 6 = 60 So, 60/3 = x * 3Simplify left side: Simplify the left side of the equation. 60/3 = 20 So, 20 = x * 3Divide and solve: Divide both sides of the equation by 3 to solve for x. 20/3 = xSimplify division: Simplify the division to find the value of x. x = 20/3

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Solve for $\mathrm{x}$ . $\newline$ $\frac{10}{3}=\frac{x}{6}$ $\newline$ Answer:

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Math Problems

Grade 7

Powers with decimal and fractional bases

Full solution

Q. Solve for

\mathrm{x}

\newline

\frac{10}{3}=\frac{x}{6}

\newline

Answer:

Identify method: Identify the cross-multiplication method to solve the proportion. $\newline$ To solve the equation $(\frac{10}{3}) = (\frac{x}{6})$ , we can cross-multiply to find the value of $x$ .
Cross-multiply terms: Cross-multiply the terms of the proportion. $(\frac{10}{3}) \times 6 = x \times 3$
Perform multiplication: Perform the multiplication on the left side of the equation. $\newline$ $10 \times 6 = 60$ $\newline$ So, $\frac{60}{3} = x \times 3$
Simplify left side: Simplify the left side of the equation. $\newline$ $\frac{60}{3} = 20$ $\newline$ So, $20 = x \times 3$
Divide and solve: Divide both sides of the equation by $3$ to solve for $x$ . $\frac{20}{3} = x$
Simplify division: Simplify the division to find the value of $x$ . $x = \frac{20}{3}$