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Find a common denominator for the fractions.
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17 steps4. a)
Find a common denominator for the fractions.
The denominators are 5 and 7. The least common multiple of 5 and 7 is .
Convert the fractions to have the common denominator.
Add the fractions.
The fraction is in its simplest form as 81 and 35 have no common factors other than 1. It can also be expressed as a mixed number.
So, .
The simplified expression is or .
4. b)
Determine the cost per kg of meat.
Given that 3 kg of meat costs Gh¢60.
Cost per kg = .Calculate the cost for each weight in the table.
For 2 kg: Cost = .
For 5 kg: Cost = .
For 12 kg: Cost = .Complete the table.
Meat (kg) 2 3 5 12 Cost Gh¢ 40 60 100 240 4. c)
Substitute each given value of into the relation to find the corresponding value.
For :
For :
For :
For :
For :
Complete the table.
x -2 -1 0 1 2 y -12 -9 -6 -3 0 5. a)
Identify the length and width of the rectangle.
Length m
Width mUse the formula for the perimeter of a rectangle, .
The perimeter of the rectangle is .
5. b)
Simplify the expression .
Divide the numerical coefficients:
Divide the variable terms using the rule :
Combine the simplified terms:
Substitute the given values , , and into the simplified expression.
The simplified and evaluated expression is .
5. c)
Understand that supplementary angles add up to .
The two angles given are and .
Set up the equation.
Combine like terms.
Isolate the term with .
Solve for .
The value of is .
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