Answer:
The number of teachers who teach physics n(P) = 12
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given that the number of teachers who teach mathematics or physics
n(MUP) = 20
Given that the number of teachers who teach mathematics
n(M) = 12
Given that the number of teachers who teach both mathematics and physics
n(M∩P) = 4
<u><em>Step(ii):-</em></u>
By using n(A∪B) = n(A) + n(B) - n(A∩B)
n(M∪P) = n(M) +n(P) - n(M∩P)
20 = 12 + n(P) - 4
20 -12 +4 = n(P)
n(P) = 12
<u><em>Final answer:-</em></u>
The number of teachers who teach physics n(P) = 12
Answer:
The slope of the line given by the equation -3x=30-5y is
.
Step-by-step explanation:
-3x=30-5y
Move the -3x to the right side of the equal sign and the -5y to the left.
5y=30+3x
By switching them to opposite sides, their sign changes from - to +.
Then, divide both sides by 5 in order to isolate the y.

You get:
<em>y= </em>
<em />
According to y=mx+b, mx refers to the slope.
In this case, the slope would be
.
Answer:
D
Step-by-step explanation:
Substitute the value of x in each function and check if it's equal to it's corresponding value of y.
Correct me if I'm wrong. I hope it helps.
542(1+1/4)
542(4/4+1/4)
542(5/4)
677.5