Answer: C. The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
Step-by-step explanation:
You know that the first equation is:
And the second equation is:
According to the Addition property of equality:
If 
; then 
Then, you can add 6 to both sides of the first equation to keep it balanced. Then, you get:
Therefore, you can observe that the second equation can be obtained by adding 6 to both sides of the first equation, therefore, the equations have the same solution.
If you want to verify this, you can solve for "x" from both equations:
- First equation:
- Second equation:
Answer:
0 = a
Step-by-step explanation:
The first thing to do is subtract 5 from both sides.
a + 5 = 5a + 5
- 5 - 5
The 5's cancel out.
Now we have a + 0 = 5a
You next subtract the a from both sides.
a + 0 = 5a
-a -a
0 = 4a
Lastly would to get a by itself so then we divide 4 from both sides
0 = 4a
_ _
4 4
0 = a
Answer:
the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096
Step-by-step explanation:
From the five randomly selected students ; 160, 175, 163, 149, 153
mean average of the students = 160+175+163+149+153/5
= mean = x-bar = 800/5
mean x-bar = 160
from probability distribution, P(x-bar > 160) = P[ x-bar - miu / SD > 160 -150.8 /3.94]
P( Z>2.34) = from normal Z-distribution table
= 0.0096419
= 0.0096
hence the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096
where SD = standard deviation = 3.94 and Miu = 150.8
The answer is 15 or 1/4
I hope this helps you
You are given two equations, solve for one variable in one of the equations. Say you solved for x in the second equation. Then, plug in that value of x in the x of the first equation. Solve this (first) equation for y (as it should become apparent) and you'll get a number value. Plug in this numerical value of y into the y of the second equation. Solve for x in the second equation. And there you have it: (x, y)
