Question

convert 12.7 feet to inches
12.7 ft = ______ in
blank 1:

use the following conversion factors for the following 2 questions.
1 km = 1000 m
1 m = 100 cm

question 14 (1 point)
convert 420,000 centimeters to kilometers
420,000 cm = ______ km
blank 1:

question 15 (1 point)
convert 5.2 kilometers to centimeters
5.2 km = ______ cm
blank 1:

question 16 (1 point)
how many hours are in 1116 seconds?
1116 s = ______ hrs
blank 1:

Explanation:

Step1: Convert feet to inches

We know $1\ \text{ft}=12\ \text{in}$, so:
$12.7\ \text{ft} \times 12 = 152.4\ \text{in}$

Step2: Convert cm to km

Use conversion factors $1\ \text{m}=100\ \text{cm}$, $1\ \text{km}=1000\ \text{m}$:
$420000\ \text{cm} \times \frac{1\ \text{m}}{100\ \text{cm}} \times \frac{1\ \text{km}}{1000\ \text{m}} = \frac{420000}{100000} = 4.2\ \text{km}$

Step3: Convert km to cm

Use conversion factors $1\ \text{km}=1000\ \text{m}$, $1\ \text{m}=100\ \text{cm}$:
$5.2\ \text{km} \times 1000\ \text{m/km} \times 100\ \text{cm/m} = 5.2 \times 100000 = 520000\ \text{cm}$

Step4: Convert seconds to hours

We know $1\ \text{hr}=3600\ \text{s}$, so:
$1116\ \text{s} \times \frac{1\ \text{hr}}{3600\ \text{s}} = \frac{1116}{3600} = \frac{93}{300} = 0.31\ \text{hrs}$

Answer:

1. 152.4 in
2. 4.2 km
3. 520000 cm
4. $\frac{93}{300}$ hrs (or 0.31 hrs)