Answer:
12 green bags
Step-by-step explanation:
Given data
The given ratio of green bags to white bags is
=2 to 5
=2:5
Number of white bags=30
Applying the part to part method, let the number of green bags be x
so
2/5=x/30
cross multiply
30*2=5x
60=5x
divide both sides by 5
x= 60/5
x=12
Hence there are 12 green bags
To find a percentage of a number, turn the percent into a decimal by dividing by 100, then multiply that decimal by the number.
82 ÷ 100 = 0.82
0.82 × 950 = 779
Now, to find the number of seats not occupied, you subtract the percentage that is occupied from the whole.
779 is 82% of 950, so 779 will be subtracted from 950
950 - 779 = 171
171 seats are not occupied.
Answer:
(-3 , 0) (0, 2) (6, -6)
Step-by-step explanation:
Solving for x - intercept:
2x - 3(0) = -6
2x = -6
2x/2 = -6/2
x = -3
One point would be (-3 , 0) .
Solving for y-intercept:
2(0) - 3y = -6
-3y = -6
-3y/-3 = -6/-3
y = 2
Another point would be (0, 2).
When 'x' equals 6:
2(6) - 3y = -6
12 - 3y = -6
12 - 12 - 3y = -6 - 12
-3y = -18
-3y/3 = -18/3
y = -6
The third point would be (6, -6).
Answer: A
Suppose that the last dollar that Victoria receives as income
brings her a marginal utility of 10 utils while the last dollar that
Fredrick receives as income brings him a marginal utility of
15 utils. If our goal is to maximize the combined total utility of
Victoria and Fredrick, we should
a. Redistribute income from Victoria to Frederick
b. Redistribute income from Fredrick to Victoria
c. Not engage in any redistribution because the current situation already maximizes total utility
d. None of the above
Step-by-step explanation:
Marginal utility is the added satisfaction derived from consuming an additional unit of a good or service. In the above question, Fredrick derives more satisfaction from his last dollar than Victoria, and will therefore achieve a higher marginal utility with additional income than Victoria does with her current income. If we want to maximize the combined utility, we should redistribute income from Victoria to Fredrick.
The logic behind this is the diminishing marginal utility. The first unit of a good consumed gives the highest level of satisfaction, marginal utility reduces with additional units consumed. In the same way, when we spend our income, we purchase the things that give us the maximum satisfaction first.
.