Multiply: $$ 3-8 $$ hours 15 minutes 25 seconds by 5 . $$ \frac{4}{4} 5 $$ years 8 months 15 days by 6. 9 years 5 months 24 days by 5 .

Question

UpStudy AI · Accepted Answer

Let's perform the multiplications step by step.

### 1. Multiply $$ 3 - 8 $$ hours 15 minutes 25 seconds by 5.

First, we need to convert $$ 3 - 8 $$ hours into a single unit.

- $$ 3 - 8 $$ hours = $$ -5 $$ hours.
- Now, convert everything to seconds:
  - $$ -5 $$ hours = $$ -5 \times 3600 = -18000 $$ seconds.
  - $$ 15 $$ minutes = $$ 15 \times 60 = 900 $$ seconds.
  - $$ 25 $$ seconds = $$ 25 $$ seconds.

Now, combine these:
$$
-18000 + 900 + 25 = -17175 \text{ seconds}.
$$

Now, multiply by 5:
$$
-17175 \times 5 = -85875 \text{ seconds}.
$$

Convert back to hours, minutes, and seconds:
- $$ -85875 $$ seconds = $$ -85875 \div 3600 = -23.9 $$ hours, which is $$ -23 $$ hours and $$ -0.9 \times 3600 = -3240 $$ seconds.
- $$ -3240 $$ seconds = $$ -54 $$ minutes and $$ -0 $$ seconds.

So, the result is:
$$
-23 \text{ hours } 54 \text{ minutes } 0 \text{ seconds}.
$$

### 2. Multiply $$ \frac{4}{4} 5 $$ years 8 months 15 days by 6.

First, simplify $$ \frac{4}{4} = 1 $$, so we have $$ 1 $$ year $$ 5 $$ months $$ 15 $$ days.

Now, convert everything to days:
- $$ 1 $$ year = $$ 365 $$ days (ignoring leap years for simplicity).
- $$ 5 $$ months = $$ 5 \times 30 = 150 $$ days (assuming an average month length).
- $$ 15 $$ days = $$ 15 $$ days.

Total days:
$$
365 + 150 + 15 = 530 \text{ days}.
$$

Now, multiply by 6:
$$
530 \times 6 = 3180 \text{ days}.
$$

Convert back to years, months, and days:
- $$ 3180 \div 365 = 8.7 $$ years, which is $$ 8 $$ years and $$ 0.7 \times 365 \approx 255.5 $$ days.
- $$ 255.5 $$ days = $$ 8 $$ months and $$ 15.5 $$ days (assuming an average month length).

So, the result is:
$$
8 \text{ years } 8 \text{ months } 15 \text{ days}.
$$

### 3. Multiply $$ 9 $$ years $$ 5 $$ months $$ 24 $$ days by $$ 5 $$.

Convert everything to days:
- $$ 9 $$ years = $$ 9 \times 365 = 3285 $$ days.
- $$ 5 $$ months = $$ 5 \times 30 = 150 $$ days (assuming an average month length).
- $$ 24 $$ days = $$ 24 $$ days.

Total days:
$$
3285 + 150 + 24 = 3459 \text{ days}.
$$

Now, multiply by 5:
$$
3459 \times 5 = 17295 \text{ days}.
$$

Convert back to years, months, and days:
- $$ 17295 \div 365 = 47.4 $$ years, which is $$ 47 $$ years and $$ 0.4 \times 365 \approx 146 $$ days.
- $$ 146 $$ days = $$ 4 $$ months and $$ 26 $$ days (assuming an average month length).

So, the result is:
$$
47 \text{ years } 4 \text{ months } 26 \text{ days}.
$$

### Final Results:
1. $$ -23 \text{ hours } 54 \text{ minutes } 0 \text{ seconds} $$
2. $$ 8 \text{ years } 8 \text{ months } 15 \text{ days} $$
3. $$ 47 \text{ years } 4 \text{ months } 26 \text{ days} $$
1. -23 hours 54 minutes 0 seconds 2. 8 years 8 months 15 days 3. 47 years 4 months 26 days

Multiply: \( 3-8 \) hours 15 minutes 25 seconds by 5 . \( \frac{4}{4} 5 \) years 8 months 15 days by 6. 9 years 5 months 24 days by 5 .

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