Answer:
- <em>convert </em>the mixed fractions to improper fractions (where the numerator is greater than or equal to the denominator): multiply the whole number part by the fraction's denominator, add that to the numerator, write the result on top of the denominator.
- if the denominators are not the same, work out the common denominator and <em>rewrite </em>the fractions with the same denominators
- subtract by subtracting the numerators and writing the result over the denominator
- convert back to mixed fractions by dividing the numerator by the denominator, write down the whole number answer, write down the remainder above the denominator.
Example
convert to improper fractions:
common denominator = 3 × 5 = 15, so:
subtract:
convert back to mixed fractions:
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
12 salads in 20 min
divide both by 2
6 salads in 10 min
divide by 2
3 salads in 5 min
20 min plus 20 min plus 5 min= 45 min
12+12+3=27 salads in 45 minutes
Answer: 32
Step-by-step explanation:
3H+2
3(10)+2
30+2
32
Answer: 6
SOLUTION
∵segment
is tangent to the circle at point C.
∴∠MCA=∠MCB=90°
Suppose 
From the Pythagorean theorem
MA²=9²+
²
MB²=4²+²
∴MA²+MB²=AB²
i.e. 
We conclude that 
