Let's break down and solve the given problems step by step.
### 1. How much further did Ben run than Amy?
- Ben's distance: Ben ran a distance of [tex]\(6.4\)[/tex] kilometers.
- Amy's distance: Amy ran a distance of [tex]\(390\)[/tex] meters.
First, let's convert Amy's running distance from meters to kilometers because the distances must be in the same unit for comparison.
1 kilometer [tex]\( = 1000\)[/tex] meters, so:
[tex]\[
\text{Amy's distance in kilometers} = \frac{390 \text{ meters}}{1000} = 0.39 \text{ kilometers}
\][/tex]
Now, calculate the difference in the distances Ben and Amy ran:
[tex]\[
\text{Distance Ben ran further} = \text{Ben's distance} - \text{Amy's distance} = 6.4 \text{ kilometers} - 0.39 \text{ kilometers} = 6.010 \text{ kilometers}
\][/tex]
So, Ben ran [tex]\(6.010\)[/tex] kilometers further than Amy.
### 2. Calculating Mbali's height in meters
- Unathi's height: Unathi is [tex]\(92\)[/tex] cm tall.
- Mbali is 4 cm taller than Unathi.
First, find Mbali's height in centimeters by adding the difference in height to Unathi's height:
[tex]\[
\text{Mbali's height in cm} = \text{Unathi's height} + 4 \text{ cm} = 92 \text{ cm} + 4 \text{ cm} = 96 \text{ cm}
\][/tex]
Next, to convert Mbali's height from centimeters to meters:
1 meter [tex]\( = 100\)[/tex] centimeters, so:
[tex]\[
\text{Mbali's height in meters} = \frac{96 \text{ cm}}{100} = 0.96 \text{ meters}
\][/tex]
So, Mbali's height in meters is [tex]\(0.96\)[/tex] meters.
### Summary
- Ben ran [tex]\(6.010\)[/tex] kilometers further than Amy.
- Mbali's height is [tex]\(96\)[/tex] cm or [tex]\(0.96\)[/tex] meters.
