Solve the following problems: 1. Linear equation: 2h − 7 = 1. 2. Currency conversion: ₦45.62 to kobo. 3. Discount: 30% off ₦200. 4. Solve for X: X * 9 = 648. 5. Perimeter of rectangle: L=10cm, W=5cm.

$$2h - 7 = 1$$

Add 7 to both sides:

$$2h = 1 + 7$$ $$2h = 8$$

Divide by 2:

$$h = \frac{8}{2}$$ $$h = 4$$

The value of $h$ is $\boxed{4}$.

Assuming ₦1 = 100 kobo.

$$45.62 \text{ Naira} \times 100 \frac{\text{kobo}}{\text{Naira}} = 4562 \text{ kobo}$$

₦45.62 is equal to $\boxed{4562 \text{ kobo}}$.

Original cost = ₦200
Discount = 30%
Discount amount = $30\%$ of ₦200

$$0.30 \times 200 = 60$$

Discount amount = ₦60
Amount paid = Original cost - Discount amount

$$200 - 60 = 140$$

The buyer will pay $\boxed{₦140}$.

$$X \times 9 = 648$$

Divide by 9:

$$X = \frac{648}{9}$$ $$X = 72$$

The value of $X$ is $\boxed{72}$.

Length ($L$) = 10 cm
Breadth ($W$) = 5 cm
Perimeter ($P$) = $2(L + W)$

$$P = 2(10 \text{ cm} + 5 \text{ cm})$$ $$P = 2(15 \text{ cm})$$ $$P = 30 \text{ cm}$$

The perimeter of the rectangular field is $\boxed{30 \text{ cm}}$.

A rhombus has four equal sides. Assuming the side length is 8 cm.
Side length ($s$) = 8 cm
Perimeter ($P$) = $4s$

$$P = 4 \times 8 \text{ cm}$$ $$P = 32 \text{ cm}$$

The perimeter of the rhombus is $\boxed{32 \text{ cm}}$.

Selling Price (SP) = ₦14
Profit = 40%
Let Cost Price (CP) be $x$.
SP = CP + Profit
SP = CP + (Profit % of CP)

$$14 = x + 0.40x$$ $$14 = 1.40x$$

Divide by 1.40:

$$x = \frac{14}{1.40}$$ $$x = 10$$

The cost price is $\boxed{₦10}$.

Ratio = 18:45
Find the greatest common divisor (GCD) of 18 and 45.
The GCD of 18 and 45 is 9.
Divide both parts of the ratio by 9:

$$\frac{18}{9} : \frac{45}{9}$$ $$2 : 5$$

The ratio in its lowest term is $\boxed{2:5}$.

Total amount = ₦48
Ratio A:B:C = 2:3:5
Total ratio parts = $2 + 3 + 5 = 10$
C's share = $\frac{\text{C's ratio part}}{\text{Total ratio parts}} \times \text{Total amount}$

$$\text{C's share} = \frac{5}{10} \times 48$$ $$\text{C's share} = \frac{1}{2} \times 48$$ $$\text{C's share} = 24$$

C's share is $\boxed{₦24}$.

Principal (P) = ₦800
Amount (A) = ₦960
Interest (I) = A - P = ₦960 - ₦800 = ₦160
Interest Rate (R) = 5% per annum = 0.05
Simple Interest formula: $I = P \times R \times T$

$$160 = 800 \times 0.05 \times T$$ $$160 = 40 \times T$$

Divide by 40:

$$T = \frac{160}{40}$$ $$T = 4$$

The money was in the bank for $\boxed{4 \text{ years}}$.

Assuming the conversion rate is £1 = ₦300.
Amount in Naira = ₦27,000
Amount in Pounds = $\frac{\text{Amount in Naira}}{\text{Naira per Pound}}$

$$\text{Amount in Pounds} = \frac{27000}{300}$$ $$\text{Amount in Pounds} = 90$$

You could get $\boxed{£90}$.

Cost Price (CP) = ₦75
Selling Price (SP) = ₦63
Since SP < CP, there is a loss.
Loss = CP - SP

$$75 - 63 = 12$$

The loss is $\boxed{₦12}$.

Convert the mixed number to an improper fraction:

$$1\frac{1}{16} = \frac{1 \times 16 + 1}{16} = \frac{17}{16}$$

Find the square root:

$$\sqrt{\frac{17}{16}} = \frac{\sqrt{17}}{\sqrt{16}} = \frac{\sqrt{17}}{4}$$

The value is $\boxed{\frac{\sqrt{17}}{4}}$.

When a non-zero number is divided by itself, the result is 1.

$$\frac{3}{729} \div \frac{3}{729} = 1$$

The simplified expression is $\boxed{1}$.