QuestionSolve for $x$ in the equation $\frac{32}{x}=\frac{5}{8}$ .

Studdy Solution

STEP 1

Assumptions1. We have an equation $\frac{32}{x}=\frac{5}{8}$ , where $x$ is the unknown. . We are solving for $x$ .

STEP 2

To solve for $x$ , we can start by cross-multiplying. This means we multiply the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction. This gives us $32 \cdot8 = x \cdot5$

STEP 3

Now, we simplify the left side of the equation by multiplying32 by8.
$32 \cdot8 =256$ So, the equation becomes $256 = x \cdot5$

STEP 4

Next, we isolate $x$ by dividing both sides of the equation by.
$x = \frac{256}{}$

STEP 5

Finally, we calculate the value of $x$ by dividing256 by5.
$x = \frac{256}{5} =51.2$ So, the solution to the equation $\frac{32}{x}=\frac{5}{8}$ is $x =51.2$ .

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QuestionSolve for $x$ in the equation $\frac{32}{x}=\frac{5}{8}$ .

Studdy Solution

STEP 1

Assumptions1. We have an equation $\frac{32}{x}=\frac{5}{8}$ , where $x$ is the unknown. . We are solving for $x$ .

STEP 2

To solve for $x$ , we can start by cross-multiplying. This means we multiply the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction. This gives us $32 \cdot8 = x \cdot5$

STEP 3

Now, we simplify the left side of the equation by multiplying32 by8.
$32 \cdot8 =256$ So, the equation becomes $256 = x \cdot5$

STEP 4

Next, we isolate $x$ by dividing both sides of the equation by.
$x = \frac{256}{}$

STEP 5

Finally, we calculate the value of $x$ by dividing256 by5.
$x = \frac{256}{5} =51.2$ So, the solution to the equation $\frac{32}{x}=\frac{5}{8}$ is $x =51.2$ .

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QuestionSolve for xxx in the equation 32x=58\frac{32}{x}=\frac{5}{8}x32​=85​.

Studdy Solution

STEP 1

Assumptions1. We have an equation 32x=58\frac{32}{x}=\frac{5}{8}x32​=85​, where xxx is the unknown. . We are solving for xxx.

STEP 2

To solve for xxx, we can start by cross-multiplying. This means we multiply the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction. This gives us32⋅8=x⋅532 \cdot8 = x \cdot532⋅8=x⋅5

STEP 3

Now, we simplify the left side of the equation by multiplying32 by8.32⋅8=25632 \cdot8 =25632⋅8=256So, the equation becomes256=x⋅5256 = x \cdot5256=x⋅5

STEP 4

Next, we isolate xxx by dividing both sides of the equation by.x=256x = \frac{256}{}x=256​

STEP 5

Finally, we calculate the value of xxx by dividing256 by5.x=2565=51.2x = \frac{256}{5} =51.2x=5256​=51.2So, the solution to the equation 32x=58\frac{32}{x}=\frac{5}{8}x32​=85​ is x=51.2x =51.2x=51.2.

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QuestionSolve for $x$ in the equation $\frac{32}{x}=\frac{5}{8}$ .

Assumptions1. We have an equation $\frac{32}{x}=\frac{5}{8}$ , where $x$ is the unknown. . We are solving for $x$ .

To solve for $x$ , we can start by cross-multiplying. This means we multiply the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction. This gives us $32 \cdot8 = x \cdot5$

Now, we simplify the left side of the equation by multiplying32 by8.
$32 \cdot8 =256$ So, the equation becomes $256 = x \cdot5$

Next, we isolate $x$ by dividing both sides of the equation by.
$x = \frac{256}{}$

Finally, we calculate the value of $x$ by dividing256 by5.
$x = \frac{256}{5} =51.2$ So, the solution to the equation $\frac{32}{x}=\frac{5}{8}$ is $x =51.2$ .