Answer:
16
Step-by-step explanation:
the proportion pf grape lollipops to all lollipops is 5/30=1/6 so 1/6 of all lollipops are gonna be grape so from 100 lollipops the graoe ones are gonna be 100/6=16.(6) we take only the whole part because we cant have 0.6 of a lollipop
Answer:
30
Step-by-step explanation:
Shoes + Shoes + Shoes = 30 (Shoes = 10)
Person + Person + Shoes = 20 (Person = 5)
Newspaper + Newspaper + Person = 13 (Newspaper = 4)
= Shoes + Person * Newspaper
= Person * Newspaper + Shoes
= 5 * 4 + 10
= 20 + 10
= 30
Answer:
24 years
Step-by-step explanation:
Total = start*(1 + interest rate / amount of times compounded per month)^(years*amount of compounds per year)
6000 = 3000*(1+0.03/4)^(4x)
6000 = 3000* ((403/400)^4)^x
2 = ((403/400)^4)^x
x = log base-((403/400)^4) of 2 = x
x = 23.19
rounding down 23 years (but you probably want a year over that to get at least 6000, so 24)
Answer:
The distance between the ship and the island is .
Step-by-step explanation:
The ship's azimuth is the direction measured as an angle from the north.
You should draw a diagram of the situation.
From the information given we know two distances and the angle between them and we want to find the distance between the ship and the island.
To find the distance between the ship and the island we can use the Law of Cosines.
<em>If a, b and c are the lengths of the legs of a triangle opposite to the angles A, B and C respectively; then the law of cosines states:</em>
This law is useful for finding: the third side of a triangle when we know two sides and the angle between them like in this case.
The angle is
And the distance is given by
.
Since the order of the selection of files does not matter, this is the concept of combination not permutation.
therefore suppose we want the combination of 5 files that can be selected from 14. This will be given by:
14C5
=(14!)/(9!3!)
=2002
We therefore conclude that there are 2002 ways that 5 files can be selected from 14 files;