QUESTIONI 1.1 Arrange the following numbers in descending order: 1.1.1 31;6;0;16;-2;-26 $$ 1.1 .20 .38 ; 3,8 ; 0,83 ; 3,08 $$ 1.2 Apply BODMAS rule to calculate the following $$ 1.2 .1(22-7)-(-5)+72 $$ $$ 1.2 .2 \quad 40+30-\frac{1}{2} $$ 1.3 Write the following times in 24 Hour notation 1.3.1 10:35:15 pm $$ 1.3 .2 \quad 4.25 \mathrm{pm} $$ 1.4 Convert 1450 milligrams to kilograms 1.5 Decrease R1 250,00 by $$ 15 \% $$. 1.6 Logan and Leon share R3 650 in the ratio 1:2. How much money will each receive? QUESTION2 2.1 Determine the time lapse from 4:20 pm till 19:45. 2.2. Calculate $$ 26 \% $$ of R1 150 . 2.3 Phindi gets 18 out of 30 marks in a test. What percentage did she score for the test?

Question

UpStudy AI · Accepted Answer

Calculate the value by following steps:
- step0: Calculate:
  $$\left(22-7ight)-\left(-5ight)+72$$
- step1: Remove the parentheses:
  $$\left(22-7ight)+5+72$$
- step2: Subtract the numbers:
  $$15+5+72$$
- step3: Add the numbers:
  $$92$$
Calculate or simplify the expression $$ (18/30)*100 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{18}{30}ight)	imes 100$$
- step1: Reduce the fraction:
  $$\frac{3}{5}	imes 100$$
- step2: Reduce the numbers:
  $$3	imes 20$$
- step3: Multiply the numbers:
  $$60$$
Calculate or simplify the expression $$ 1450/1000000 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{1450}{1000000}$$
- step1: Reduce the fraction:
  $$\frac{29}{20000}$$
Calculate or simplify the expression $$ 1250*(1-0.15) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$1250\left(1-0.15ight)$$
- step1: Subtract the numbers:
  $$1250	imes 0.85$$
- step2: Multiply the numbers:
  $$1062.5$$
Calculate or simplify the expression $$ 19:45-16:20 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$19\div 45-16\div 20$$
- step1: Rewrite the expression:
  $$\frac{19}{45}-16\div 20$$
- step2: Divide:
  $$\frac{19}{45}-0.8$$
- step3: Convert the expressions:
  $$\frac{19}{45}-\frac{4}{5}$$
- step4: Reduce fractions to a common denominator:
  $$\frac{19}{45}-\frac{4	imes 9}{5	imes 9}$$
- step5: Multiply the numbers:
  $$\frac{19}{45}-\frac{4	imes 9}{45}$$
- step6: Transform the expression:
  $$\frac{19-4	imes 9}{45}$$
- step7: Multiply the numbers:
  $$\frac{19-36}{45}$$
- step8: Subtract the numbers:
  $$\frac{-17}{45}$$
- step9: Rewrite the fraction:
  $$-\frac{17}{45}$$
Solve the system of equations $$ x+y=3650; x/y=1/2 $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}x+y=3650\\frac{x}{y}=\frac{1}{2}\end{array}ight.$$
- step1: Solve the equation:
  $$\left\{ \begin{array}{l}x=3650-y\\frac{x}{y}=\frac{1}{2}\end{array}ight.$$
- step2: Substitute the value of $$x:$$
  $$\frac{3650-y}{y}=\frac{1}{2}$$
- step3: Cross multiply:
  $$\left(3650-yight)	imes 2=y$$
- step4: Simplify the equation:
  $$2\left(3650-yight)=y$$
- step5: Expand the expression:
  $$7300-2y=y$$
- step6: Move the variable to the left side:
  $$7300-2y-y=0$$
- step7: Subtract the terms:
  $$7300-3y=0$$
- step8: Move the constant to the right side:
  $$-3y=0-7300$$
- step9: Remove 0:
  $$-3y=-7300$$
- step10: Change the signs:
  $$3y=7300$$
- step11: Divide both sides:
  $$\frac{3y}{3}=\frac{7300}{3}$$
- step12: Divide the numbers:
  $$y=\frac{7300}{3}$$
- step13: Substitute the value of $$y:$$
  $$x=3650-\frac{7300}{3}$$
- step14: Calculate:
  $$x=\frac{3650}{3}$$
- step15: Calculate:
  $$\left\{ \begin{array}{l}x=\frac{3650}{3}\y=\frac{7300}{3}\end{array}ight.$$
- step16: Check the solution:
  $$\left\{ \begin{array}{l}x=\frac{3650}{3}\y=\frac{7300}{3}\end{array}ight.$$
- step17: Rewrite:
  $$\left(x,yight) = \left(\frac{3650}{3},\frac{7300}{3}ight)$$
Calculate or simplify the expression $$ 0.26*1150 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$0.26	imes 1150$$
- step1: Multiply the numbers:
  $$299$$
Calculate or simplify the expression $$ 40+30-1/2 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$40+30-\frac{1}{2}$$
- step1: Add the numbers:
  $$70-\frac{1}{2}$$
- step2: Reduce fractions to a common denominator:
  $$\frac{70	imes 2}{2}-\frac{1}{2}$$
- step3: Transform the expression:
  $$\frac{70	imes 2-1}{2}$$
- step4: Multiply the numbers:
  $$\frac{140-1}{2}$$
- step5: Subtract the numbers:
  $$\frac{139}{2}$$
Let's solve the problems step by step.

### QUESTION 1

#### 1.1 Arrange the following numbers in descending order:
**Numbers:** 31, 6, 0, 16, -2, -26

**Descending Order:** 
- The numbers arranged from highest to lowest are: **31, 16, 6, 0, -2, -26**.

#### 1.2 Apply BODMAS rule to calculate the following
**1.2.1** $$ (22-7)-(-5)+72 $$

- Step 1: Calculate $$ 22 - 7 = 15 $$
- Step 2: Calculate $$ -(-5) = 5 $$
- Step 3: Combine: $$ 15 + 5 + 72 = 92 $$

**Result:** $$ 92 $$

**1.2.2** $$ 40 + 30 - \frac{1}{2} $$

- Step 1: Calculate $$ 40 + 30 = 70 $$
- Step 2: Subtract $$ \frac{1}{2} $$: $$ 70 - 0.5 = 69.5 $$

**Result:** $$ 69.5 $$

#### 1.3 Write the following times in 24 Hour notation
**1.3.1** 10:35:15 pm

- **24 Hour Notation:** $$ 22:35:15 $$

**1.3.2** 4:25 pm

- **24 Hour Notation:** $$ 16:25 $$

#### 1.4 Convert 1450 milligrams to kilograms
- **Conversion:** $$ 1450 \, 	ext{mg} = \frac{1450}{1000000} \, 	ext{kg} = 0.00145 \, 	ext{kg} $$

**Result:** $$ 0.00145 \, 	ext{kg} $$

#### 1.5 Decrease R1,250.00 by 15%
- **Calculation:** $$ 1250 	imes (1 - 0.15) = 1250 	imes 0.85 = 1062.5 $$

**Result:** R1,062.50

#### 1.6 Logan and Leon share R3,650 in the ratio 1:2.
- **Let Logan's share be $$ x $$ and Leon's share be $$ 2x $$.**
- Equation: $$ x + 2x = 3650 $$
- Solving gives $$ 3x = 3650 $$ or $$ x = \frac{3650}{3} \approx 1216.67 $$ (Logan's share)
- Leon's share: $$ 2x = \frac{7300}{3} \approx 2433.33 $$

**Result:** Logan receives R1,216.67 and Leon receives R2,433.33.

### QUESTION 2

#### 2.1 Determine the time lapse from 4:20 pm till 19:45.
- **Time Lapse:** $$ 19:45 - 16:20 = 3 \, 	ext{hours} \, 25 \, 	ext{minutes} $$

**Result:** 3 hours 25 minutes

#### 2.2 Calculate 26% of R1,150.
- **Calculation:** $$ 0.26 	imes 1150 = 299 $$

**Result:** R299.00

#### 2.3 Phindi gets 18 out of 30 marks in a test. What percentage did she score for the test?
- **Percentage Calculation:** $$ \left( \frac{18}{30} ight) 	imes 100 = 60\% $$

**Result:** 60%

### Summary of Results
1.1 Descending Order: **31, 16, 6, 0, -2, -26**
1.2.1 Result: **92**
1.2.2 Result: **69.5**
1.3.1 24 Hour: **22:35:15**
1.3.2 24 Hour: **16:25**
1.4 Result: **0.00145 kg**
1.5 Result: **R1,062.50**
1.6 Logan: **R1,216.67**, Leon: **R2,433.33**
2.1 Time Lapse: **3 hours 25 minutes**
2.2 Result: **R299.00**
2.3 Result: **60%**
**Solutions:** 1. **Descending Order:** 31, 16, 6, 0, -2, -26 2. **1.2.1:** 92 3. **1.2.2:** 69.5 4. **1.3.1:** 22:35:15 5. **1.3.2:** 16:25 6. **1.4:** 0.00145 kg 7. **1.5:** R1,062.50 8. **1.6:** Logan: R1,216.67, Leon: R2,433.33 9. **2.1:** 3 hours 25 minutes 10. **2.2:** R299.00 11. **2.3:** 60%

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