Question

Question

Ethan writes the ratio x/8=y/16
to help him reduce the size of a two-dimensional shape. If the new value of y
is 3 units, what will be the value of x
?(1 point)
Responses

316
units
Start Fraction 3 over 16 End Fraction units

1.5 units
1.5 units

0.5 units
0.5 units

6 units
6 units
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Answer 1

To solve the equation $\frac{x}{8}=\frac{y}{16}$ given that $y=3$, we can substitute $y$ into the equation.

1. Start by replacing $y$ with 3: $$\frac{x}{8}=\frac{3}{16}$$

2. To solve for $x$, we can cross-multiply: $$16x=3\times 8$$ $$16x=24$$

3. Now, divide both sides by 16 to isolate $x$: $$x=\frac{24}{16}$$ $$x=\frac{3}{2}$$

4. Simplifying $\frac{3}{2}$ gives us $1.5$.

Thus, the value of $x$ is 1.5 units.