Answer:
A (a = 1)
Step-by-step explanation:
A coordinate point is always in the form (x,y) that means the first point is always x-coordinate and the second point is always y-coordinate.
The equation given is:
5x + y = 8
The point is (a,3), so that means x = a and y = 3
We substitute the values into the equation and find a. Shown below:
5x + y = 8
5(a) + (3) = 8
5a + 3 = 8
5a = 8 - 3
5a = 5
a = 5/5
a = 1
Answer choice A is right
You have a system of equations

.
1. Substitude right side of second equation into the left side of the first equation:

.
2. Solve this equation:

.
3. Find y:
for

,
for

.
4. The solutions of the system are: (3,-12) and (5,-24).
Answer: Correct choice is A.
1. 5.50 + 0.15 * 45 = 12.25
2. 4 + 0.20 * 45 = 13
So the first option is slightly better, you can save 13-12.25= $0.75.
Answer: 0.01
Step-by-step explanation:
Let the events are :
C = paving stones found to be cracked.
D = paving stones found to be discolored.
Given : Total stones : T = 600 (i)
C = 15
D= 27
C'∩D'= 564 (ii)
Since C'∩D' = (C∪D)' = T- C∪D (iii)
From (i) , (ii)and (ii) , we have
564 = 600- C∪D
⇒ C∪D=600- 564= 36
Formula : C∩D= C+D- C∪D
Put values , we get
C∩D= 15+27-36=6
Now ,

The probability that it is both cracked and distorted is 0.01.
Answer:
35 interviews
Step-by-step explanation:
1. Find the rate
21/3 = 7 people an hour
2. Find how much she can do in 2 hours
7 x 2 = 14 interviews
3. Add the 2 numbers
21 + 14 = 35 interviews