Gary spent 48 dollars on a watch. HE spent 1/3 of remainder on a pen. If he still had 1/2 of money left, how much money did he h
1 answer:
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Answer: OPTION D.
Step-by-step explanation:
<h3> The complete exercise is: "Which arrangement showsConvert from mixed numbers to decimal numbers.
The steps to do this, are the following:
1. You must divide the numerator of the fraction by the denominator.
2. Then you must add the quotient obtained to the whole number part.
Applying this procedure, you get that:
Now that you have all the numbers in decimal form, you can order from least to greatest:
Therefore, you can conclude that the correct arrangement is:
Answer:
Option D.
Step-by-step explanation:
Minimize the objective function P = 5x + 8y for the given constraints.
The related equations of above inequalities are
For ,
x y
0 5
7.5 0
Plot (0,5) and (7.5,0) and join them by straight line.
For ,
x y
0 7.5
5 0
Plot (0,7.5) and (5,0) and join them by straight line.
Check the inequalities for (0,0).
False
False
It means both lines are solid lines and shaded region for each lies opposite side of (0,0).
From the below graph it is clear that the vertices of feasible region are (0,7.5), (3,3), (7.5,0).
Point P = 5x + 8y
(0,7.5) P=5(0)+8(7.5)=60
(3,3) P=5(3)+8(3)=15+24=39
(7.5,0) P=5(7.5)+8(0)=37.5 (Minimum)
So, minimum value is 37.5.
Therefore, the correct option is D.
