The problem asks whether the ratios $1:2$ and $7:10$ are equivalent.

1. Problem Description

The problem asks whether the ratios $1:2$ and $7:10$ are equivalent.

2. Solution Steps

To determine if two ratios are equivalent, we can compare them as fractions.

The ratio $1:2$ can be written as the fraction $\frac{1}{2}$.

The ratio $7:10$ can be written as the fraction $\frac{7}{10}$.

To check if the fractions are equal, we can cross-multiply.

$\frac{1}{2} = \frac{7}{10}$ if and only if $1 \times 10 = 2 \times 7$.

$1 \times 10 = 10$

$2 \times 7 = 14$

Since $10 \ne 14$, the fractions $\frac{1}{2}$ and $\frac{7}{10}$ are not equal.

Therefore, the ratios $1:2$ and $7:10$ are not equivalent.

3. Final Answer

No