Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
Sure, let's go through each question step-by-step.
### Question 4
Question: Thandi runs [tex]\(126.65 \, \text{km}\)[/tex] further than Lindiwe. If Thandi runs [tex]\(260.42 \, \text{km}\)[/tex] altogether, how far does Lindiwe run?
Step-by-Step Solution:
1. Identify the total distance run by Thandi.
[tex]\[ \text{Thandi's total distance} = 260.42 \, \text{km} \][/tex]
2. Identify how much further Thandi runs compared to Lindiwe.
[tex]\[ \text{Distance difference} = 126.65 \, \text{km} \][/tex]
3. Calculate Lindiwe's running distance by subtracting the distance difference from Thandi's total distance.
[tex]\[ \text{Lindiwe's distance} = \text{Thandi's total distance} - \text{Distance difference} \][/tex]
[tex]\[ \text{Lindiwe's distance} = 260.42 \, \text{km} - 126.65 \, \text{km} \][/tex]
[tex]\[ \text{Lindiwe's distance} = 133.77 \, \text{km} \][/tex]
So, Lindiwe runs [tex]\(133.77 \, \text{km}\)[/tex].
### Question 5
Mum cut off [tex]\(\frac{2}{5}\)[/tex] of a 40 cm ribbon.
Part a: What length was cut off?
Step-by-Step Solution:
1. Identify the total length of the ribbon.
[tex]\[ \text{Total ribbon length} = 40 \, \text{cm} \][/tex]
2. Identify the fraction of the ribbon that was cut off.
[tex]\[ \text{Fraction cut off} = \frac{2}{5} \][/tex]
3. Calculate the length cut off by multiplying the total ribbon length by the fraction cut off.
[tex]\[ \text{Length cut off} = \text{Total ribbon length} \times \text{Fraction cut off} \][/tex]
[tex]\[ \text{Length cut off} = 40 \, \text{cm} \times \frac{2}{5} \][/tex]
[tex]\[ \text{Length cut off} = 16 \, \text{cm} \][/tex]
So, the length cut off was [tex]\(16 \, \text{cm}\)[/tex].
Part b: What length was left?
Step-by-Step Solution:
1. Identify the total length of the ribbon.
[tex]\[ \text{Total ribbon length} = 40 \, \text{cm} \][/tex]
2. Identify the length that was cut off.
[tex]\[ \text{Length cut off} = 16 \, \text{cm} \][/tex]
3. Calculate the length that was left by subtracting the length cut off from the total ribbon length.
[tex]\[ \text{Length left} = \text{Total ribbon length} - \text{Length cut off} \][/tex]
[tex]\[ \text{Length left} = 40 \, \text{cm} - 16 \, \text{cm} \][/tex]
[tex]\[ \text{Length left} = 24 \, \text{cm} \][/tex]
So, the length left was [tex]\(24 \, \text{cm}\)[/tex].
### Question 4
Question: Thandi runs [tex]\(126.65 \, \text{km}\)[/tex] further than Lindiwe. If Thandi runs [tex]\(260.42 \, \text{km}\)[/tex] altogether, how far does Lindiwe run?
Step-by-Step Solution:
1. Identify the total distance run by Thandi.
[tex]\[ \text{Thandi's total distance} = 260.42 \, \text{km} \][/tex]
2. Identify how much further Thandi runs compared to Lindiwe.
[tex]\[ \text{Distance difference} = 126.65 \, \text{km} \][/tex]
3. Calculate Lindiwe's running distance by subtracting the distance difference from Thandi's total distance.
[tex]\[ \text{Lindiwe's distance} = \text{Thandi's total distance} - \text{Distance difference} \][/tex]
[tex]\[ \text{Lindiwe's distance} = 260.42 \, \text{km} - 126.65 \, \text{km} \][/tex]
[tex]\[ \text{Lindiwe's distance} = 133.77 \, \text{km} \][/tex]
So, Lindiwe runs [tex]\(133.77 \, \text{km}\)[/tex].
### Question 5
Mum cut off [tex]\(\frac{2}{5}\)[/tex] of a 40 cm ribbon.
Part a: What length was cut off?
Step-by-Step Solution:
1. Identify the total length of the ribbon.
[tex]\[ \text{Total ribbon length} = 40 \, \text{cm} \][/tex]
2. Identify the fraction of the ribbon that was cut off.
[tex]\[ \text{Fraction cut off} = \frac{2}{5} \][/tex]
3. Calculate the length cut off by multiplying the total ribbon length by the fraction cut off.
[tex]\[ \text{Length cut off} = \text{Total ribbon length} \times \text{Fraction cut off} \][/tex]
[tex]\[ \text{Length cut off} = 40 \, \text{cm} \times \frac{2}{5} \][/tex]
[tex]\[ \text{Length cut off} = 16 \, \text{cm} \][/tex]
So, the length cut off was [tex]\(16 \, \text{cm}\)[/tex].
Part b: What length was left?
Step-by-Step Solution:
1. Identify the total length of the ribbon.
[tex]\[ \text{Total ribbon length} = 40 \, \text{cm} \][/tex]
2. Identify the length that was cut off.
[tex]\[ \text{Length cut off} = 16 \, \text{cm} \][/tex]
3. Calculate the length that was left by subtracting the length cut off from the total ribbon length.
[tex]\[ \text{Length left} = \text{Total ribbon length} - \text{Length cut off} \][/tex]
[tex]\[ \text{Length left} = 40 \, \text{cm} - 16 \, \text{cm} \][/tex]
[tex]\[ \text{Length left} = 24 \, \text{cm} \][/tex]
So, the length left was [tex]\(24 \, \text{cm}\)[/tex].
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.
