Answer:
New height = 6
Step-by-step explanation:
The water is going to be the same volume no matter how the tank is orientated.
So you can do this 2 ways.
First way
Find the volume in the tank when the water goes up 24 cm on the height.
V = L*W*h
L = 8
W = 10
H = 24
V = 1920 cm^3
Now do it using the
L = 40
W = 8
h = ?
1920 = L * W * h
1920 = 40 * 8 * h
1920 = 320 * h
h * 320 = 1920
h = 1920/320
h = 6
Or you can do it without finding the 1920
L*W*h = L1 * w1 * h1
8*10*24 = 40 * 8 * h The 8's cancel
10*24 = 40*h Divide both sides by 10
24 = 4h Divide by 4
h = 6
Same as you got before.
Brennan will have to take 8 more quizzes to get to 25
14. 1.5, 10 <- Answer
15. 5,1 <- Answer
Proof 14
Solve the following system:
{2 x - y = -7 | (equation 1)
4 x - y = -4 | (equation 2)
Swap equation 1 with equation 2:
{4 x - y = -4 | (equation 1)
2 x - y = -7 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x - y = -4 | (equation 1)
0 x - y/2 = -5 | (equation 2)
Multiply equation 2 by -2:
{4 x - y = -4 | (equation 1)
0 x+y = 10 | (equation 2)
Add equation 2 to equation 1:
{4 x+0 y = 6 | (equation 1)
0 x+y = 10 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 3/2 | (equation 1)
0 x+y = 10 | (equation 2)
Collect results:
Answer: {x = 1.5
y = 10
Proof 15.
Solve the following system:
{5 x + 7 y = 32 | (equation 1)
8 x + 6 y = 46 | (equation 2)
Swap equation 1 with equation 2:
{8 x + 6 y = 46 | (equation 1)
5 x + 7 y = 32 | (equation 2)
Subtract 5/8 × (equation 1) from equation 2:{8 x + 6 y = 46 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Divide equation 1 by 2:
{4 x + 3 y = 23 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Multiply equation 2 by 4/13:
{4 x + 3 y = 23 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = 20 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 5 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 5 y = 1
Answer:
Step-by-step explanation:
Um 12 i think dat really look hard
