Determine if 2.2510=?940

Question

, 2.510=?9040
, or 2.2512=?9040
is a proportion.(1 point)
Responses

2.2512=9040
Start Fraction 2.25 over 12 End Fraction equals Start Fraction 90 over 40 End Fraction

None of these sets of ratios is a proportion.
None of these sets of ratios is a proportion.

2.2510=940
Start Fraction 2.25 over 10 End Fraction equals Start Fraction 9 over 40 End Fraction

2.510=9040

Answer 1

To determine if the sets of ratios represent proportions, we can cross-multiply and compare the values.

1. For the equation \( 2.2510 = 940 \): \[ \frac{2.25}{10} = \frac{9}{40} \] Cross-multiplying gives: \[ 2.25 \times 40 = 9 \times 10 \] \[ 90 = 90 \quad \text{(True)} \]

2. For the equation \( 2.510 = 9040 \): \[ \frac{2.5}{10} = \frac{90}{40} \] Cross-multiplying gives: \[ 2.5 \times 40 = 90 \times 10 \] \[ 100 = 900 \quad \text{(False)} \]

3. For the equation \( 2.2512 = 9040 \): \[ \frac{2.25}{12} = \frac{90}{40} \] Cross-multiplying gives: \[ 2.25 \times 40 = 90 \times 12 \] \[ 90 = 1080 \quad \text{(False)} \]

Only the first equation \( \frac{2.25}{10} = \frac{9}{40} \) is a proportion.

Final Answer: 2.2510=940 is a proportion.