6. Simplify: $$ 6(x-2 y)-3(2 x+y) $$ A. $$ 20 y $$ B. $$ -15 y $$ C. $$ -11 y $$ D. $$ -10 y $$ 7 Which of the statement is true? A. All parallelograms are rhembuses B. All kites are parallelograms C. All rhombuses are parallelograms D. kites are rhombuses 8. Find the amount on N 800.00 for 1 year at $$ 10 \% $$. A. $$ N 720.00 $$ B. $$ N 800.00 $$ C. N875.00 D. N880.00

Question

UpStudy AI · Accepted Answer

**Problem 6**

We need to simplify the expression:
$$
6(x-2y)-3(2x+y)
$$

1. Distribute the coefficients:
   $$
   6 \times x - 6 \times 2y - 3 \times 2x - 3 \times y = 6x - 12y - 6x - 3y
   $$

2. Combine like terms:
   - Combine the $$x$$ terms: 
     $$
     6x - 6x = 0
     $$
   - Combine the $$y$$ terms:
     $$
     -12y - 3y = -15y
     $$

Thus, the simplified expression is:
$$
-15y
$$

The correct answer is **B. $$ -15 y $$**.

---

**Problem 7**

We need to determine which of the following statements is true regarding quadrilaterals.

- **A. All parallelograms are rhombuses**  
  This is false because not all parallelograms have four sides of equal length.

- **B. All kites are parallelograms**  
  This is false because kites typically do not have both pairs of opposite sides parallel.

- **C. All rhombuses are parallelograms**  
  This is true because by definition, a rhombus is a parallelogram with all sides equal.

- **D. Kites are rhombuses**  
  This is false because although a rhombus is a type of kite in some cases if it has perpendicular diagonals, generally kites do not have equal side lengths.

The correct answer is **C. All rhombuses are parallelograms**.

---

**Problem 8**

We are asked to find the amount on $$ N800.00 $$ for 1 year at $$10\%$$. We assume simple interest.

1. The formula for simple interest is:
   $$
   \text{Interest} = P \times r \times t
   $$
   where $$ P = 800 $$, $$ r = 0.10 $$ (10%), and $$ t = 1 $$ year.

2. Calculate the interest:
   $$
   \text{Interest} = 800 \times 0.10 \times 1 = 80
   $$

3. The total amount is:
   $$
   \text{Amount} = P + \text{Interest} = 800 + 80 = 880
   $$

The correct answer is **D. $$ N880.00 $$**.
**Problem 6:** Simplify $$6(x - 2y) - 3(2x + y)$$. Answer: $$ -15y $$ **Problem 7:** Which statement is true? Answer: C. All rhombuses are parallelograms **Problem 8:** Find the amount on $$ N800.00 $$ for 1 year at $$10\%$$. Answer: $$ N880.00 $$

Upstudy AI Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Algebra Questions