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Solve the following problems: 1. Solve for x: 2x − 1 = 11. 2. Convert ₵45.62 to pesewas. 3. Calculate the amount paid after a 30% discount on ₵200. 4. Solve for x: 2 x 9 = 648. 5. Calculate the perime
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Step-by-step solution
12 stepsSolve the linear equation for .
Add 1 to both sides:
Divide by 2:
The value of is .
Convert ₵45.62 to pesewas.
Assuming "bo" is a typo for "pesewas" and ₵1 = 100 pesewas.
₵45.62 is equal to .
Calculate the amount paid after a discount.
Original cost = ₵200
Discount = 30%
Discount amount = of ₵200Discount amount = ₵60
Amount paid = Original cost - Discount amountThe buyer will pay .
Solve for .
Assuming the equation is .
Divide by 18:
The value of is .
Calculate the perimeter of the rectangular field.
Length () = 100 m
Breadth () = 50 m
Perimeter () =The perimeter of the rectangular field is .
Calculate the perimeter of the rhombus.
A rhombus has four equal sides. Assuming the side length is 5 cm (taking the first value given, as "5cm by 8cm" is contradictory for a rhombus).
Side length () = 5 cm
Perimeter () =The perimeter of the rhombus is .
Find the cost price.
Selling Price (SP) = ₵14
Profit = 40%
Let Cost Price (CP) be .
SP = CP + Profit
SP = CP + (Profit % of CP)Divide by 1.40:
The cost price is .
Simplify the ratio.
Ratio = 18:45
Find the greatest common divisor (GCD) of 18 and 45.
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 45: 1, 3, 5, 9, 15, 45
The GCD is 9.
Divide both parts of the ratio by 9:The ratio in its lowest term is .
Calculate C's share.
Total amount = ₵48
Ratio A:B:C = 2:3:5
Total ratio parts =
C's share =C's share is .
Calculate the number of years.
Principal (P) = ₵800
Amount (A) = ₵960
Interest (I) = A - P = ₵960 - ₵800 = ₵160
Interest Rate (R) = 5% per annum = 0.05
Simple Interest formula:Divide by 40:
The money was in the bank for .
Convert Cedi to Pounds.
Assuming the conversion rate is £1 = ₵300.
Amount in Cedi = ₵27,000
Amount in Pounds =You could get .
Find the profit or loss.
Cost Price (CP) = ₵75
Selling Price (SP) = ₵63
Since SP < CP, there is a loss.
Loss = CP - SPThe loss is .
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