Question
upstudy study bank question image url

Ocfening 1 1 Skyff elk van die volgende koerse op verskillende wyses. Vereenvoudig waar moontlik: 1.1750 appels : 10 kratte 1.2 R108: 6 salke aartappels 1.375 km : 25 min \( 1.418000 \mathrm{~W}: 3 \mathrm{~h} \) \( 1.5 \frac{\mathrm{R} 34}{4 \mathrm{~kg}} \) \( 1.6484 \mathrm{~km}: 32 \mathrm{l} \) 2 Watter van die volgende verteenwoordig nie 'n koers nie? Verduldelik. \( 2.1 \quad 85 \mathrm{~g} \) sout \( 2.260 \mathrm{~km} / \mathrm{h} \) \( 2.4 \quad 5 \ell / 10 \mathrm{~m} 2 \) 2.5320 minute 3 Skryf die koerse neer en voltooi: \( 2.3 \quad 11 \mathrm{Mbps} \) \( 2.67,4 \) l/100km 3.1 Afstandskoers: 240 km in \( 2 \mathrm{~h}=\ldots \mathrm{km} / \mathrm{h} \). 3.2 Betalingskoers: R9 600 per jaar \( =\mathrm{R} . \). . per maand. 3.3 Kostekoers: R31,90: 2 € melk \( =\mathrm{R} . . / \mathrm{l} \) melk. 3.4 Brandstofkostekoers: R161,00 per \( 20 \ell= \) R... : \( 1 \ell \) 3.5 Salariskoers: \( R 800 \) per week ( 5 dae) \( = \) R... /dag. 42 Hoofstuk 1 Getalle en berekeninge met getalle

Ask by Chadwick Ruiz. in South Africa
Feb 25,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

- **Simplified Rates:** - 1.1750 appels : 10 kratte = 0.1175 appels per crate - 1.2 R108: 6 salke aartappels = R18 per sack - 1.375 km : 25 min = 3.3 km/h - 1.418000 W : 3 h = 0.47267 W/h - 1.5 \(\frac{\mathrm{R} 34}{4 \mathrm{~kg}}\) = R8.5 per kg - 1.6484 km : 32 l = 0.0514 km/l - **Non-Rates:** - 85 g sout - 320 minute - **Completed Rates:** - 3.1 Afstandskoers: 120 km/h - 3.2 Betalingskoers: R800 per month - 3.3 Kostekoers: R15.95 per l - 3.4 Brandstofkostekoers: R8.05 per l - 3.5 Salariskoers: R160 per day

Solution

Let's break down the problem step by step, addressing each part of the question. ### 1. Simplifying the Rates 1. **1.1750 appels : 10 kratte** - To find the rate of apples per crate, we divide the number of apples by the number of crates: \[ \text{Rate} = \frac{1.1750 \text{ appels}}{10 \text{ kratte}} = 0.1175 \text{ appels per crate} \] 2. **1.2 R108: 6 salke aartappels** - To find the cost per sack of potatoes: \[ \text{Rate} = \frac{R108}{6 \text{ salke}} = R18 \text{ per sack} \] 3. **1.375 km : 25 min** - To find the speed in km/h, we convert minutes to hours (25 min = 25/60 h): \[ \text{Rate} = \frac{1.375 \text{ km}}{25/60 \text{ h}} = \frac{1.375 \times 60}{25} = 3.3 \text{ km/h} \] 4. **1.418000 W : 3 h** - To find the power per hour: \[ \text{Rate} = \frac{1.418000 \text{ W}}{3 \text{ h}} = 0.47267 \text{ W/h} \] 5. **1.5 \(\frac{\mathrm{R} 34}{4 \mathrm{~kg}}\)** - To find the cost per kg: \[ \text{Rate} = \frac{R34}{4 \text{ kg}} = R8.5 \text{ per kg} \] 6. **1.6484 km : 32 l** - To find the distance per liter: \[ \text{Rate} = \frac{1.6484 \text{ km}}{32 \text{ l}} = 0.0514 \text{ km/l} \] ### 2. Identifying Non-Rates - **2.1 \( 85 \text{ g} \) sout**: This is a quantity, not a rate. - **2.2 \( 60 \text{ km/h} \)**: This is a rate (speed). - **2.3 \( 5 \text{ l}/10 \text{ m}^2 \)**: This is a rate (volume per area). - **2.4 \( 320 \text{ minute} \)**: This is a quantity, not a rate. ### 3. Completing the Rates 1. **3.1 Afstandskoers: 240 km in \( 2 \text{ h} \)** \[ \text{Rate} = \frac{240 \text{ km}}{2 \text{ h}} = 120 \text{ km/h} \] 2. **3.2 Betalingskoers: R9 600 per jaar** \[ \text{Rate} = \frac{R9600}{12 \text{ months}} = R800 \text{ per month} \] 3. **3.3 Kostekoers: R31,90: 2 € melk** \[ \text{Rate} = \frac{R31.90}{2 \text{ l}} = R15.95 \text{ per l} \] 4. **3.4 Brandstofkostekoers: R161,00 per \( 20 \text{ l} \)** \[ \text{Rate} = \frac{R161.00}{20 \text{ l}} = R8.05 \text{ per l} \] 5. **3.5 Salariskoers: R800 per week (5 dae)** \[ \text{Rate} = \frac{R800}{5 \text{ days}} = R160 \text{ per day} \] ### Summary of Results - 1.1750 appels : 10 kratte = 0.1175 appels per crate - 1.2 R108: 6 salke aartappels = R18 per sack - 1.375 km : 25 min = 3.3 km/h - 1.418000 W : 3 h = 0.47267 W/h - 1.5 \(\frac{\mathrm{R} 34}{4 \mathrm{~kg}}\) = R8.5 per kg - 1.6484 km : 32 l = 0.0514 km/l - Non-rates: 85 g sout, 320 minute - Completed rates: - 3.1: 120 km/h - 3.2: R800 per month - 3.3: R15.95 per l - 3.4: R8.05 per l - 3.5: R160 per day

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

The Deep Dive

Wist jy dat die gebruik van koerse in die alledaagse lewe een van die mees praktiese toepassings van wiskunde is? Of jy dit glo of nie, wanneer jy jou tyd en geld bestuur of die afleweringskoers van 'n produk bereken, is jy eintlik 'n wiskundige aan die werk! Koerse help ons om te verstaan hoe goed ons hulpbronne benut en laat ons toe om beter finansiële en tydsbestuurbesluite te neem. Wanneer jy met koerse werk, is dit belangrik om te let op die eenhede wat jy gebruik. 'n Algemene fout is om eenhede nie gelyk te stel nie, wat tot verwarring kan lei. Bijvoorbeeld, as jy die afstand in kilometers en die tyd in ure het, moet jy seker maak dat jy die finale antwoord in die korrekte eenheid van kilometers per uur (km/h) toon. Hou altyd jou eenhede op koers om akkuraatheid te verseker!

Related Questions

Latest Arithmetic Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy