Pregunta
Antwoorde kan gekontroleer word met 'n sakrekenaar. 1. Druk elk van die volgende as 'n koers uit: \( \begin{array}{lll}\text { 1.I. } 3 \text { hoenders kos } \mathrm{R} 123 & 1.2 & \text { plant } 300 \text { bome in } 25 \text { rye } \\ \text { 1.4. } 20 \text { sekondes om } 8 \text { sectls te plak } & 1.5 & \text { tik } 600 \text { woorde in } 5 \text { minute } \\ \text { 2. Twee dorpe is } \mathbf{4 2 0 k m} \text { van mekaar. Op ' } \mathbf{n} \text { kaart is hul } \mathbf{2 8 m m} \text { van mekaar. Bereken }\end{array} \) 1.6
Ask by Ellis Frazier. in South Africa
Feb 03,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
Here are the rates for each problem:
1. **Cost of Chickens**: R41 per chicken
2. **Planting Trees**: 12 trees per row
3. **Time to Stick Seals**: 2.5 seconds per seal
4. **Typing Words**: 120 words per minute
5. **Distance on a Map**: 15 km per mm
Solución
Let's solve each of the problems step by step, expressing them as rates.
### 1.1: Cost of Chickens
We know that 3 chickens cost R123. To find the cost per chicken, we can use the formula:
\[
\text{Cost per chicken} = \frac{\text{Total cost}}{\text{Number of chickens}} = \frac{123}{3}
\]
### 1.2: Planting Trees
We have 300 trees planted in 25 rows. To find the number of trees per row, we can use the formula:
\[
\text{Trees per row} = \frac{\text{Total trees}}{\text{Number of rows}} = \frac{300}{25}
\]
### 1.4: Time to Stick Seals
It takes 20 seconds to stick 8 seals. To find the time taken per seal, we can use the formula:
\[
\text{Time per seal} = \frac{\text{Total time}}{\text{Number of seals}} = \frac{20}{8}
\]
### 1.5: Typing Words
If 600 words are typed in 5 minutes, we can find the typing speed in words per minute:
\[
\text{Words per minute} = \frac{\text{Total words}}{\text{Total time in minutes}} = \frac{600}{5}
\]
### 1.6: Distance on a Map
Two towns are 420 km apart, and on a map, they are 28 mm apart. To find the scale of the map (in km per mm), we can use the formula:
\[
\text{Scale} = \frac{\text{Distance in km}}{\text{Distance in mm}} = \frac{420}{28}
\]
Now, let's calculate these values. I will perform the calculations for each of these expressions.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{600}{5}\)
- step1: Reduce the numbers:
\(\frac{120}{1}\)
- step2: Calculate:
\(120\)
Calculate or simplify the expression \( 300/25 \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{300}{25}\)
- step1: Reduce the numbers:
\(\frac{12}{1}\)
- step2: Calculate:
\(12\)
Calculate or simplify the expression \( 123/3 \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{123}{3}\)
- step1: Reduce the numbers:
\(\frac{41}{1}\)
- step2: Calculate:
\(41\)
Calculate or simplify the expression \( 420/28 \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{420}{28}\)
- step1: Reduce the numbers:
\(\frac{15}{1}\)
- step2: Calculate:
\(15\)
Calculate or simplify the expression \( 20/8 \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{20}{8}\)
- step1: Reduce the fraction:
\(\frac{5}{2}\)
Here are the calculated rates for each of the problems:
### 1.1: Cost of Chickens
The cost per chicken is:
\[
\text{Cost per chicken} = \frac{123}{3} = 41 \text{ R}
\]
### 1.2: Planting Trees
The number of trees per row is:
\[
\text{Trees per row} = \frac{300}{25} = 12 \text{ trees}
\]
### 1.4: Time to Stick Seals
The time taken per seal is:
\[
\text{Time per seal} = \frac{20}{8} = 2.5 \text{ seconds}
\]
### 1.5: Typing Words
The typing speed is:
\[
\text{Words per minute} = \frac{600}{5} = 120 \text{ words/minute}
\]
### 1.6: Distance on a Map
The scale of the map is:
\[
\text{Scale} = \frac{420}{28} = 15 \text{ km/mm}
\]
These results provide the rates for each of the scenarios presented. If you have any further questions or need additional calculations, feel free to ask!
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Bonus Knowledge
As jy die koste van die hoenders wil bereken, deel jy die totaal van R123 deur 3, wat jou R41 per hoender sal gee. So, elke hoender kos jou 'n prettige R41, wat jy met jou sakrekenaar kan bevestig! Vir die plante gaan jy 300 bome oor 25 rye plant. Dit beteken jy het 300 gedeel deur 25, wat jou 12 bome per ry gee. Ideaal, dit maak dit maklik om 'n mooi, ordelike tuin te skep!
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