Answer to written question:
3x + 10x + 7x = 180
Combine like terms
20x = 180
Divide by 20
x = 9
Smallest angle 3x = 3*9 = 27 degrees
Answer to question in picture:
30/6x-2 = 36/5x + 13
Cross multiply
30(5x + 13) = 36(6x-2)
Distribute
150x + 390 = 216x - 72
Subtract 150x
390 = 66x - 72
Add 72
462 = 66x
Divide by 66
x = 7
Answer:
80%
Step-by-step explanation:
60/75 = 4/5 = 80%
Answer:
The velocity is 17 m/s
Step-by-step explanation:
To find the velocity, we find the first differential of the displacement
That will be
S’(t) = 16t + 1/t
We simply proceed to replace t with 1
That will give;
16(1) + 1/1
= 16 + 1 = 17 m/s
Answer:
C
Step-by-step explanation:
The relationship is y = 3x
Given:
The number of male professors = 15.
The number of female professors = 9.
The number of male teaching assistants = 6.
The number of female teaching assistants = 12.
A person is selected randomly from the group.
Required:
We need to find the probability that the selected person is a professor or a male.
Explanation:
The total number of people in the group = 15+9+6+12 = 42
n(S) =The total number of people in the group

Let A be the event that the selected person is a professor or a male.
The number of people who are professors or male = 15+9+6 = 30
n(A)= The number of people who are professors or male.

Let P(A) be the probability that the selected person is a professor or a male.



Final answer:
The probability that the selected person is a professor or a male is 5/7.