Answer:
40
Step-by-step explanation:
Use the Outside Angles Theorem,
Answer:
x = -8/3
y = 4
Step-by-step explanation:
I assume you want to solve for x and y.
The best way to do this with the two formulas given is elimination. This means add the two equations together.
6x + 5y = 4
-6x + y = 20
The 6 x and -6x will cancel each other. By adding the like terms of the two together you will come out with
6y = 24
Now solve for y by dividing both sides by the 6.
y = 24/6 = 4
Now that we have y, you can plug it into one of the equations and solve for x.
Let's use -6x + y =20.
So plug in the 4 for y to get -6x + 4 = 20
Subtract the 4 from both sides then solve for y by dividing both sides by the -6.
-6x = 16
x = -16/6
You can reduce that down so that x = -8/3.
An outlier for a data set is a number which stands out, meaning it is not close to the rest of the numbers. It can either be greater OR less than the rest of the numbers.
<span>23, 34, 27, 7, 30, 26, 28, 31, 34
Which number stands out from this data set?
Yep! 7. This is because it is not close to the other numbers, whereas the other numbers are closer to each other.
A) 7.</span>
Suppose the larger pump alone can empty the tank in L hours, and the smaller pump can finish the job in S hours, then each hour the large pump empties 1/L portion of the tank, and the small pump empties 1/S per hour
Working together for three hours, they empty the whole tank, which is 100% of it, so 3/L+3/S=100%=1
Larger pump can empty the tank in 4 hours less than the smaller one, so L=S-4
replace L: 3/(S-4)+3/S=1
Make the denominator the same to solve for:
3S/[S(S-4)] +3(S-4)/[S(S-4)]=1
(3S+3S-12)/[S(S-4)]=1
(3S+3S-12)=[S(S-4)]
S^2-10s+12=0
use the quadratic formula to solve for S
S is about 8.6
The answer is not whole hour.
Answer:
x = -3/4, 1
Step-by-step explanation:
Factor left side of the equation.
(4x + 3)(x - 1) = 0
Set factors equal to 0.
4x + 3 = 0
4x = -3
x = -3/4
x - 1 = 0
x = 1
