Answer:
a. (15, 15)
Step-by-step explanation:
We start with those two equations:
1) a - 1.2b = -3
2) 0.2b + 0.6a = 12
We'll begin by modifying equation #1 to isolate a:
a = -3 + 1.2b
Then we'll use this value for a in the second equation:
0.2b + 0.6 (-3 + 1.2b) = 12
0.2b - 1.8 + 0.72b = 12
0.92b = 13.8
b = 15
Then we'll place that value of b in the first equation to find a:
a - 1.2 (15) = -3
a - 18 = -3
a = 15
So you have to find the volume of the tank, and the volume of the pyramid. Then subtract the volume of the pyramid from that out of the tank. The formula for pyramid is v = lwh/3. For the tank (which is a cube in this case) It's any given side cubed.
40*30*30 = 3600/3=1200cm cubed
40^3 = 6400cm cubed
6400-1200=5200cm^3 of water
(If you don't get this answer then I may have made a calculation error as I did this quickly in my head, just check my answer and yours to see)
E. None, since none of the numbers are repeating (which is how you find the mode)
Answer:
3g + h
Step-by-step explanation:
First combine the g terms, -5g + 8g = 3g
Then combine the h terms, -3h + 4h = h
Answer:
x = 23
Step-by-step explanation:
Step 1: Write out equation
(58 - x) - (x) = 12
Step 2: Distribute negative
58 - x - x = 12
Step 3: Combine like terms
58 - 2x = 12
Step 4: Subtract 58 on both sides
-2x = -46
Step 5: Isolate <em>x</em> (divide both sides by -2)
x = 23