High School

To determine the value of \( y \) in the figure where angle 3 = \( 140y \) and angle 5 = \( 80y + 70 \), you can set up an equation:

\[ \text{Angle 3} + \text{Angle 5} = 180 \text{ degrees (because they form a straight line)} \]

\[ 140y + (80y + 70) = 180 \]

Combine like terms:

\[ 220y + 70 = 180 \]

Subtract 70 from both sides:

\[ 220y = 110 \]

Divide by 220:

\[ y = \frac{110}{220} \]

\[ y = 0.5 \]

So, the value of \( y \) is 0.5.

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**Cash Price Calculations:**

a) Cash Price for R650:
- Discount = 10% of R650 = 0.10 × R650 = R65
- Cash Price = R650 - R65 = R585

b) Cash Price for R180:
- Discount = 10% of R180 = 0.10 × R180 = R18
- Cash Price = R180 - R18 = R162

c) Cash Price for R2400:
- Discount = 10% of R2400 = 0.10 × R2400 = R240
- Cash Price = R2400 - R240 = R2160

d) Cash Price for R1650:
- Discount = 10% of R1650 = 0.10 × R1650 = R165
- Cash Price = R1650 - R165 = R1485

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**Fertilizer Nitrogen Content Comparison:**

1. **Ammonium Nitrate (NH₄NO₃):**
- Nitrogen (N) = 14 grams/mole
- Total Molar Mass = 80 grams/mole
- Percentage of Nitrogen ≈ 17.5%

2. **Urea (CO(NH₂)₂):**
- Nitrogen (N) = 14 grams/mole
- Total Molar Mass = 42 grams/mole
- Percentage of Nitrogen ≈ 33.33%

**Conclusion:** Urea has a higher percentage of nitrogen.

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**Additional Questions:**

- **Question 1245:** Stop dancing like that; sit back down in your chair.

- **Question 1246:** To solve the system of equations \( 5x + 2y = 16 \) and \( 7x - 3y = 34 \) by the elimination method.

- **Question 1247:** Describe the shapes of distance-time graphs for:
- (a) A car moving with constant speed.
- (b) A car parked on a side road.
- (c) A car moving with a changing speed.

- **Question 1248:** Provide more context or details about "The Magic Fish Bone."

- **Question 1249:** Find the mass of silver occupying 965 cm³ using density and volume.

- **Question 1250:** What is the next number in the series: 11, 13, 17, 19, 41, 73?

- **Question 1251:** Clarification on "Lacho Bandri" for context.

- **Question 1252:** Calculate the pressure at a depth of 10 meters in a liquid with a density of 1000 kg/m³.

- **Question 1253:** Clarification needed for making questions about products and numbers.

- **Question 1254:** If the expression is \((-23) + 48 + (-35)\), solve the expression.

Answer :

Final Answer:

The main answer to the expression (-23) + 48 + (-35) is -10.

Explanation:

Certainly! Let's calculate the expression (-23) + 48 + (-35) step by step:

1. Start with the numbers:

-23 + 48 - 35

2. Add the positive numbers first:

-23 + 48 = 25

3. Now, add the negative number:

25 - 35 = -10

So, the value of the expression (-23) + 48 + (-35) is -10.

In this expression, you are essentially performing addition and subtraction of integers. When you add a negative number, it's the same as subtracting its absolute value. In this case, adding (-23) is equivalent to subtracting 23, which gives you -23 - 23 = -46. Then, adding 48 gives you -46 + 48 = 2, and finally subtracting 35 from 2 results in -10.

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