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Answer :
Sure! Let's go through each ratio step-by-step and convert them to decimals rounded to the hundredths place.
### Ratio 1: [tex]$5.00 to 95 cents
First, let's convert dollars to cents so that both quantities are in the same units. There are 100 cents in a dollar.
\[
\$[/tex]5.00 = 5 \times 100 = 500 \text{ cents}
\]
Now, the ratio [tex]$5.00 to 95 cents becomes:
\[
\frac{500 \text{ cents}}{95 \text{ cents}}
\]
Next, we divide 500 by 95:
\[
\frac{500}{95} \approx 5.2632
\]
Rounding to the hundredths place:
\[
5.26
\]
### Ratio 2: 3 days to 30 hours
First, let's convert days to hours knowing that there are 24 hours in a day:
\[
3 \text{ days} = 3 \times 24 = 72 \text{ hours}
\]
Now, the ratio 3 days to 30 hours becomes:
\[
\frac{72 \text{ hours}}{30 \text{ hours}}
\]
Next, we divide 72 by 30:
\[
\frac{72}{30} \approx 2.4
\]
This is already at the hundredths place:
\[
2.4
\]
### Ratio 3: 42 inches to 2 feet
First, let's convert feet to inches knowing that there are 12 inches in a foot:
\[
2 \text{ feet} = 2 \times 12 = 24 \text{ inches}
\]
Now, the ratio 42 inches to 2 feet becomes:
\[
\frac{42 \text{ inches}}{24 \text{ inches}}
\]
Next, we divide 42 by 24:
\[
\frac{42}{24} \approx 1.75
\]
This is also at the hundredths place:
\[
1.75
\]
### Summary
- $[/tex]5.00 to 95 cents rounded to the hundredths place is: 5.26
- 3 days to 30 hours rounded to the hundredths place is: 2.4
- 42 inches to 2 feet rounded to the hundredths place is: 1.75
These are your final answers:
[tex]\[
(5.26, 2.4, 1.75)
\][/tex]
### Ratio 1: [tex]$5.00 to 95 cents
First, let's convert dollars to cents so that both quantities are in the same units. There are 100 cents in a dollar.
\[
\$[/tex]5.00 = 5 \times 100 = 500 \text{ cents}
\]
Now, the ratio [tex]$5.00 to 95 cents becomes:
\[
\frac{500 \text{ cents}}{95 \text{ cents}}
\]
Next, we divide 500 by 95:
\[
\frac{500}{95} \approx 5.2632
\]
Rounding to the hundredths place:
\[
5.26
\]
### Ratio 2: 3 days to 30 hours
First, let's convert days to hours knowing that there are 24 hours in a day:
\[
3 \text{ days} = 3 \times 24 = 72 \text{ hours}
\]
Now, the ratio 3 days to 30 hours becomes:
\[
\frac{72 \text{ hours}}{30 \text{ hours}}
\]
Next, we divide 72 by 30:
\[
\frac{72}{30} \approx 2.4
\]
This is already at the hundredths place:
\[
2.4
\]
### Ratio 3: 42 inches to 2 feet
First, let's convert feet to inches knowing that there are 12 inches in a foot:
\[
2 \text{ feet} = 2 \times 12 = 24 \text{ inches}
\]
Now, the ratio 42 inches to 2 feet becomes:
\[
\frac{42 \text{ inches}}{24 \text{ inches}}
\]
Next, we divide 42 by 24:
\[
\frac{42}{24} \approx 1.75
\]
This is also at the hundredths place:
\[
1.75
\]
### Summary
- $[/tex]5.00 to 95 cents rounded to the hundredths place is: 5.26
- 3 days to 30 hours rounded to the hundredths place is: 2.4
- 42 inches to 2 feet rounded to the hundredths place is: 1.75
These are your final answers:
[tex]\[
(5.26, 2.4, 1.75)
\][/tex]
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