12x > 9(2x-3) -21
12x > 18x - 27 - 21
12x > 18x - 48 (add 48 and subtract 12x in both sides)
48 > 6x
8 > x the end.
If the principal randomly selects a student in grade 12 so this means we focus on just the "grade 12" row. No other rows will be looked at here<span> what is the probability that the student is in favor of extending the school day?"</span> find the number in favor (who also happen to be in grade 12) then divide that number by the total number in grade 12 make sense.
so it would be .37
The two equations for the set up are:
x+y=23 where x is the number of dimes and y is the number of nickles
10x+5y=185
Now you solve by elimination and substitution.
Multiply your first equation by -5 and add the two equations together
-5x-5y=-115
+10x+5y=185
-------------------
5x=70
x=14
Substitute that into your original equation:
14+y=23
y=9
So you have 14 dimes and 9 nickles.
Hope this helps
Hey John
Let's start solving #1
x/4 = 3.5/28
Cross multiply
(x)(28) = (3.5)(4)
28x = 14
Divide both sides by 28
28x/28 = 14/28
x = 1/2
Next, let's solve the second one

Simplifies to:

Cross multiply
(105x + 75)(5) = (28)(50x)
525x + 375 = 1400x
Subtract 1400x to both sides
525x + 375 - 1400x = 1400x - 1400x
-875x + 375 = 0
Then subtract 375 from both sides
-875x + 375 - 375 = 0 - 375
-875x = -375
To find x, divide both sides by -875
-875x/-875 = -375/-875
x = 3/7
Let me know if you have questions about the answer.
Best of luck with your studies!