we know that
Two angles are supplementary if their sum is equal to 
degrees
in this problem we have
so
therefore
<u>the answer is</u>
The two angles are supplementary
Answer:
3b+3s
Step-by-step explanation:
According to the statement, Kharon needs to write 3 book reports with b pages. This means that he has 3 books and each of them has b amount of pages which you can express as b+b+b that is equal to 3b. Also, he has 3 science reports with s pages which is 3s. In order to find the total number of pages, you have to add up 3b plus 3s. According to this, the algebraic expression for the total number of pages Kharon will need to write is: 3b+3s.
Answer:
Step-by-step explanation:
let the number of dimes=x
and number of quarters=y
x=2y
0.10 x+0.25 y=2.25
or 10x+25y=225
divide by 5
2x+5y=45
2 ×2y+5y=45
4y+5y=45
9y=45
y=45/9=5
x=2y=2×5=10
Hence dimes=10
quarters=5
15 is 9 more that j
Let is be the = sign.
Let more than be the + sign.
15 = 9 + j
Answer:
a) 0.857
b) 0.571
c) 1
Step-by-step explanation:
Based on the data given, we have
- 18 juniors
- 10 seniors
- 6 female seniors
- 10-6 = 4 male seniors
- 12 junior males
- 18-12 = 6 junior female
- 6+6 = 12 female
- 4+12 = 16 male
- A total of 28 students
The probability of each union of events is obtained by summing the probabilities of the separated events and substracting the intersection. I will abbreviate female by F, junior by J, male by M, senior by S. We have
- P(J U F) = P(J) + P(F) - P(JF) = 18/28+12/28-6/28 = 24/28 = 0.857
- P(S U F) = P(S) + P(F) - P(SF) = 10/28 + 12/28 - 6/28 = 16/28 = 0.571
- P(J U S) = P(J) + P(S) - P(JS) = 18/28 + 10/28 - 0 = 1
Note that a student cant be Junior and Senior at the same time, so the probability of the combined event is 0. The probability of the union is 1 because every student is either Junior or Senior.
