Solve the following questions: 5. Evaluate 9. Evaluate using tables 10. A Kenya company received US dollar M. The money was converted into Kenyan shillings.

Here are the solutions to your math questions:

5. Without using mathematical tables or a calculator, evaluate leaving your answer as a simplified fraction:
The expression to be evaluated for question 5 is missing from the image. Please provide the expression.

8. Simplify the expression:

$$\frac{9t^2 - 25a^2}{6t^2 + 19at + 15a^2}$$

Step 1: Factorize the numerator using the difference of two squares formula ($A^2 - B^2 = (A-B)(A+B)$).

$$9t^2 - 25a^2 = (3t)^2 - (5a)^2 = (3t - 5a)(3t + 5a)$$

Step 2: Factorize the denominator by splitting the middle term.
We need two numbers that multiply to $6 \times 15 = 90$ and add up to 19. These numbers are 9 and 10.

$$6t^2 + 19at + 15a^2 = 6t^2 + 9at + 10at + 15a^2$$

Factor by grouping:

$$3t(2t + 3a) + 5a(2t + 3a)$$ $$(3t + 5a)(2t + 3a)$$

Step 3: Substitute the factored forms back into the expression and simplify.

$$\frac{(3t - 5a)(3t + 5a)}{(3t + 5a)(2t + 3a)}$$

Cancel out the common factor $(3t + 5a)$:

$$\frac{3t - 5a}{2t + 3a}$$

The simplified expression is $\boxed{\frac{3t - 5a}{2t + 3a}}$.

9. Use reciprocals, square roots and cube root tables to evaluate:
The expression to be evaluated for question 9 is missing from the image. Please provide the expression.

10. A Kenya company received US dollar M. The money was converted into Kenyan shillings in a bank which buys and sells foreign currencies:

Currency	Buying in Ksh	Selling in Ksh
1 Sterling Pound	187.59	188.64
1 US Dollar	128.00	131.00