Answer:
n(U)=200
n(M)=140
n(S)=120
n(MuS)complement=40
n(MuS)=n(U)-n(MuS)complement
=200-40
=160
n(MnS)=n(M)+n(S)-n(MuS)
=140+120-160
=260-160
=100
Answer:
UwU your welcome!
Step-by-step explanation:
Convert the mixed fractions to a decimal. 2 1/4 is 2.25 1 2/4 is 1.5 2. Add them up. 3. 3.75 as a decimal or 3 3/4 as a mixed fraction or 15/4 as a improper fraction.
Answer:
Western U gets 20 million
Norther U gets 40 million
Eastern U gets 50 million
Step-by-step explanation:
We need to find the amount each university gets.
Let
Northern U get n
Western U get w
Eastern U get e
We can write equations from the given word problem:
n + w + e = 110
and
n = 2w
e = n + w - 10
Putting 2nd in 3rd, we get:
e = 2w + w - 10
e = 3w - 10
Now putting this and 2nd in first, we solve for w:
n + w + e = 110
2w + w + 3w - 10 = 110
6w = 120
w = 20
AND n = 2 (20) = 40
AND e = 3(20) - 10 = 50
So,
Western U gets 20 million
Norther U gets 40 million
Eastern U gets 50 million
Answer:
a. M=20A
b. k=20
c. $1200
Step-by-step explanation:
<u>Direct proportions
</u>
Two variables are proportional if one of them is the other by a real number. That real number is called the Constant of proportionality. If x and y are proportional, then
y=kx, where k is the constant of proportionality.
The question describes the relationship between the amount of money raised at a charity fundraiser and the number of attendees. If they have five attendees, they raise $100
a.
Let's call A the number of attendees and M the amount of money raised, and
M=kA
We know that M=100 when A=5, so
100=k(5)
This means that
k=20
The equation for the amount raised at the charity event is
M=20A
b.
The constant of variation is k=20
c. If there are 60 attendees (A=60), then
M=(20)(60)=$1200
