Solve the following multiplication problems: 27. 15.78 kg x 25, 28. 3.58 x 2.9, 29. ksh. 25.25 x 8.6 m, 30. 15 x 13.38, 31. a) 53.694 x 0.59, b) 0.689 x 7.324, 32. a) juzi saves 3/4 of his earnings m,

Step 1: Multiply the thickness of one kamusi by the number of kamusi.

$$\text{Total thickness} = 4.23 \text{ cm} \times 125$$

Step 2: Perform the multiplication.

$$4.23 \times 125 = 528.75$$

The total thickness is $\boxed{\text{528.75 cm}}$.

27.

Step 1: Multiply the mass of one piece of metal by the number of pieces.

$$\text{Total mass} = 15.78 \text{ kg} \times 25$$

Step 2: Perform the multiplication.

$$15.78 \times 25 = 394.5$$

The mass of 25 pieces of metal is $\boxed{\text{394.5 kg}}$.

28.

Step 1: Perform the multiplication.

$$3.58 \times 2.9 = 10.382$$

The product is $\boxed{10.382}$.

29.

Step 1: Multiply the cost per meter by the length of ribbon.

$$\text{Total cost} = \text{ksh. } 25.25 \times 8.6$$

Step 2: Perform the multiplication.

$$25.25 \times 8.6 = 217.15$$

The cost of $8.6 \text{ m}$ of ribbon is $\boxed{\text{ksh. } 217.15}$.

30.

Step 1: Perform the multiplication.

$$15 \times 13.38 = 200.7$$

The product is $\boxed{200.7}$.

31.

a)

Step 1: Perform the multiplication.

$$53.694 \times 0.59 = 31.67946$$

The product is $\boxed{31.67946}$.

b)

Step 1: Perform the multiplication.

$$0.689 \times 7.324 = 5.044236$$

The product is $\boxed{5.044236}$.

32.

Step 1: Calculate Juzi's monthly savings.

$$\text{Monthly savings} = \text{Earnings} - \text{Spending} = m - \frac{1}{4}m = \frac{3}{4}m$$

Step 2: Calculate total savings in 8 months.

$$\text{Total savings} = \text{Monthly savings} \times 8 = \frac{3}{4}m \times 8 = 6m$$

Juzi will save $\boxed{\text{sh. } 6m}$ in 8 months.

33.

Step 1: Let Pendo's age be $p$ years.

Step 2: Her father's age is 8 times Pendo's age.

$$\text{Father's age} = 8 \times p = 8p$$

Her father is $\boxed{8p \text{ years old}}$.

34. (a)

Step 1: Distribute the numbers into the parentheses.

$$3(4m + 3n) + 6(2m - n) = (3 \times 4m) + (3 \times 3n) + (6 \times 2m) - (6 \times n)$$ $$= 12m + 9n + 12m - 6n$$

Step 2: Group like terms.

$$(12m + 12m) + (9n - 6n)$$

Step 3: Combine like terms.

$$24m + 3n$$

The simplified expression is $\boxed{24m + 3n}$.

33A.

Step 1: Let $q$ be the initial number of animals.

Step 2: After selling 15 animals, the farmer was left with 60.

$$q - 15 = 60$$

Step 3: Solve for $q$.

$$q = 60 + 15$$ $$q = 75$$

The farmer had $\boxed{75 \text{ animals}}$ before.

Triangle Question (a)

Step 1: Write the expression for the perimeter of the triangle. The sides are $(x-5)$, $(x-5)$, and $(2x+5)$.

$$\text{Perimeter} = (x-5) + (x-5) + (2x+5)$$

Step 2: Set the perimeter equal to $40 \text{ cm}$ and solve for $x$.

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