Multiply. Reduce to lowest terms. 3/7×4/5=
1 answer:
Answer:
3/5
Step-by-step explanation:
First, multiply both tops and both bottoms so you have one fraction.
Reduce by dividing top and bottom by the same number.
12/20 becomes 3/5 because:
12÷4 =3
20÷4=5
Top and bottom are divided by same "scale factor", 4.
3 and 5 do not have any common factors other than 1, therefore 3/5 is the lowest term.
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Answer:
The answer is below
Step-by-step explanation:
Plotting the following constraints using the online geogebra graphing tool:
x + 3y ≤ 9 (1)
5x + 2y ≤ 20 (2)
x≥1 and y≥2 (3)
From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).
We need to minimize the objective function C = 5x + 3y. Therefore:
At point A(1, 2): C = 5(1) + 3(2) = 11
At point B(1, 2.67): C = 5(1) + 3(2.67) = 13
At point C(3, 2): C = 5(3) + 3(2) = 21
Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.
