Question

math grade 8
xl for school: practice & problem solving
are the ratios 42 cycles:1 min and 378 cycles:9 min alike? how are they different?
os are ▼ and they are ▼ the ratio 42 cycles:1 min is ▼ the ratio 378 cycles:9 min is

Explanation:

Step1: Simplify the second ratio

Divide 378 by 9: $\frac{378}{9} = 42$
So 378 cycles:9 min simplifies to 42 cycles:1 min.

Step2: Compare the two ratios

The first ratio is 42 cycles:1 min, the simplified second ratio is also 42 cycles:1 min.

Step3: Analyze similarity/difference

They have the same unit rate, but the original second ratio uses larger values for total cycles and time.

Answer:

The ratios are equivalent and they are different in their original total values. The ratio 42 cycles:1 min is a unit rate (simplest form). The ratio 378 cycles:9 min is a non-unit equivalent ratio that simplifies to the same unit rate.