Write 2 equations:
a +b = 39
and b = 1/2a + 6
Now replace b in the first equation with the second one:
a + 1/2a + 6 = 39
Combine like terms:
1 1/2a + 6 = 39
Subtract 6 from each side:
1 1/2a = 33
Divide both sides by 1 1/2:
a = 33 / 1 1/2 = 33 / 1.5
a = 22
Now replace a with 22 in the first equation and solve for b:
22 + b = 39
b = 39 -22
b = 17
The two numbers are 17 and 22.
Answer:
the probability that it is not a drama movie is 15/23
Step-by-step explanation:
To calculate the probability we have to make the number of favorable events divided the number of possible events
number of possible events = x
to calculate it we add all the movies
x = 10 + 5 + 8
x = 23
number of favorable events = y
to calculate it we subtract the drama movies from the total of movies
y = x - 8
y = 23 - 8
y = 15
now we divide 15 by 23 and we get the probability
15/23
For this case we have that by definition, the slope of a line is given by:
Where:
and
are two points through which the line passes
According to the statement we have:
Substituting we have:
Thus, the slope of the line is:
Answer:
Hi!
We will find the sum you are looking for like this:
3 * 1,19$ + 6 * 2,29$ = 3,57$ + 13,74$ = 17,31$.
Hope this helps!
F(t) = -5t^2 + 20t + 60
-5(t^2 - 4t - 12)
-5(t + 2) (t - 6)
t = -2 or t = 6
6 seconds
