Answer: 12
Step-by-step explanation:
2x + 8 = 3x - 4
In order to solve for x, we must isolate x. We can do this by moving all of the numbers with "x" in it to the left side of the equal side, and move everything else to the right of it!
Let's start off by subtracting 8 from both sides. Remember : what you do to one side, you must do it to the other.
2x + 8 - 8 = 3x - 4 - 8
Simplify!
2x = 3x - 12
Now, let's subtract 3x from both sides.
2x - 3x = 3x - 12 - 3x
Simplify!
-x = -12
Divide both sides by -1.
-x ÷ -1 = -12 ÷ -1
Simplify.
x = 12
Answer:
Step-by-step explanation:
Let
x = cost for one adult
y = cost for one child
z = cost for one senior.
<u>The Reid family:</u>
take 2 adults and 2 children and paid 
that is 
, so
<u>The Mghee family:</u>
take 1 senior, 2 adults and 1 child and paid 
that is 
, so
<u>The Griffiths family:</u>
take 1 senior and 3 adults and paid 
that is 
, so
You get the system of three equations:
From the first equation:
From the third equation:
Substitute them into the second equation:
Then
Hence,
the cost for one adult is 
the cost for one child is 
the cost for one senior is 
<u>The Linton family</u> takes 1 senior, 2 adults and 3 children and paid
Divide 20 by 4=5
then 5 by 7=5/7
k=5/7
Answer:
a) -$3.03; b) The $5 on the number 25
Step-by-step explanation:
To find the expected value, multiply each probability by its value and then add them together.
The probability of making a profit of $20 is 3/38; this gives us
3/38(20) = 60/38
The probability of losing $5 is 35/38; this gives us
35/38(-5) = -175/38
Together, this gives us
60/38-175/38 = -115/38 ≈ $-3.03
b) Since the expected value for the $5 bet on a single number is $-0.53, and the expected value for the $5 on either 00, 0 or 1 is $-3.03, the better bet is on the number 25. The expected value loses less money with this option.
