Answer:
-300.
Step-by-step explanation:
First, you'd have to subtract 1500 from 1200. This gives you 300, but since she is descending rather than ascending, the number is negative rather than positive.
<u>X - Intercept</u>
x + 3y + 2z = 6
x + 3(0) + 2(0) = 6
x + 0 + 0 = 6
x + 0 = 6
<u> - 0 - 0</u>
x = 6
X - Intercept: (6, 0, 0)
<u>Y - Intercept</u>
x + 3y + 2z = 6
0 + 3y + 2(0) = 6
0 + 3y + 0 = 6
0 + 0 + 3y = 6
0 + 3y = 6
<u>- 0 - 0</u>
<u>3y</u> = <u>6</u>
3 3
y = 2
Y - Intercept: (0, 2, 0)
<u>Z - Intercept</u>
x + 3y + 2z = 6
0 + 3(0) 2z = 6
0 + 0 + 2z = 6
0 + 2z = 6
<u>- 0 - 0</u>
<u>2z</u> = <u>6</u>
2 2
z = 3
Z - Intercept: (0, 0, 3)
<u>Volume of the X - Intercept, Y - Intercept, and Z - Intercept</u>
V = ¹/₃(¹/₂lwh)
V = ¹/₃(¹/₂(6)(2)(3))
V = ¹/₃(¹/₂(12)(3))
V = ¹/₃(¹/₂(36))
V = ¹/₃(18)
V = 6 u³
Answer:
9 gallons/minute
Step-by-step explanation:
Since you are trying to find gallons/min, there are two ways you can go about this. Either find a common factor between the 2 number, or you can simply to divide 423 by 47. Thankfully in this situation, you can find the answer easily either way because 47 is a factor of 423.
Factor out 47:
423 gallons/47 minutes
47*9 gallons/47*1 minutes
Simplify:
9 gallons/minute
Answer:
The expression is 8 x 5 + -26.
She now has 14 dollars.
We know that she paid 8 * 5 = $40, and we know that she got $26 back, so her net total of money she has is 40 - 26 = $14.
Answer:
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Step-by-step explanation:
