Answer:
7/8 > 5/6
Step-by-step explanation:
A) 7/8
We can compare this as follows.
Lets say both are equal.
Cross multiplying these we get 40=42
We get 40<42. In fraction we get
In case if you want to convert this to decimal, we get;
5/6 = 0.833 and 7/8 = 0.875
We get 5/6<7/8
B) 4/5
Similarly we get 4/5 = 0.8 and 5/6 = 0.833
Here 4/5<5/6
C) 3/4
we get 3/4 = 0.75 and 5/6 = 0.833
3/4<5/6
D) 2/3
we get 2/3 = 0.66 and 5/6 = 0.833
2/3<5/6
Step-by-step explanation:
Answer: choice A. 40 liters
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Explanation:
x = number of liters of the 50% alcohol solution
If we have x liters of 50% alcohol, then we have 0.50*x liters of pure alcohol. This is added to 0.90*40 = 36 liters of pure alcohol (from the 90% solution).
So far we have 0.50*x + 36. This expression represents the total amount of pure alcohol. We want a 70% solution, so we want 70% of the total 40+x meaning 0.50*x + 36 is to be set equal to 0.70*(40+x) and we solve for x as shown below
0.50*x + 36 = 0.70*(40+x)
0.50*x + 36 = 0.70*(40)+0.70*(x)
0.50*x + 36 = 28+0.70*x
36 - 28 = 0.70*x - 0.50x
8 = 0.20x
0.20x = 8
x = 8/0.20
x = 40
So that is why the answer is choice A. 40 liters
As a rule of thumb, a discrete random variable is countable.
A continuous random variable is measurable but not countable.
a. Discrete
The number of hits to a website is countable.
b. Continuous
The weight of a T-bone steak is measurable.
c. Discrete
The political party affiliations of adults are countable.
d. Discrete
The number of bald eagles in a country is countable.
e. Continuous
The amount of snowfall in December is measurable.
f. Discrete
The number of textbook authors is countable.
Answer:
i think it was -(1/3)
Step-by-step explanation:
Step-by-step explanation:
8/3 cups of sugar is needed to make 16 cookies.
For 90 cookies, we will need 8/3 * 90/16 = 15 cups of sugar.
