Answer: 1536 inches
Step-by-step explanation:
Fron the question, a rectangular prism has a length of 12 inches, width of 8 inches, and then a height of 16 inches. The volume can be gotten by multiplying the length by the width and height.
Volume= length × width × height
Volume = 12 × 8 × 16
Volume = 1536 inches
The volume of the box is 1536 inches.
392,200 because the 5 makes the 1 round up to 2 so it’s 392,200
Answer:
Orange = 12
Grape = 15
Cola = 23
Step-by-step explanation:
Turning this into equations you can give each soda a variable
Cola = C | Grape = G | Orange = R
Then you get:
8 + G = C
R + 3 = G
C + G + R = 50
We want to get a variable all by itself in an equation so first I'm going to put the second equation (R + 3 = G) in the first (8 + G = C) by replacing the G to get
8 + (R + 3) = C Combine the variables 11 + R = C and put that new equation into the last equation
(11 + R) + G + R = 50
Now plug our original second equation (R + 3 = G) into our third to get
(11 + R) + (R + 3) + R = 50
Combine and get
14 + 3R = 50 Subtract over the 14
3R = 36 Divide by 3
Orange Sodas = 12
Our new 3rd Equation is now: C + G + 12 = 50, subtract over 12 to get
C + G = 38
Plug either equation 1 or 2 into that one, I'll do 1
(8 + G) + G = 38
8 + 2G = 38
2G = 30
Grape Sodas = 15
Now our 3rd equation is C + 15 = 38, subtract over 15
Cola Sodas = 23
Orange = 12
Grape = 15
Cola = 23
12 + 15 + 23 = 50
The three ordered pair for the solution is
(0,5), (1,3), (2,1)
X2 + y2 = 29
Center of the circle
x=0 and y=0
Therefore the slope of the line perpendicular to the tangent line
(y2-y1) / (x2-x1)
(5-0) / (2-0)
5/2
so the slope of the tangent
-2/5
General equation for the line
y = mx + c
if the line satisfies with the point (2,5)
5 = 2m + c
m = -2/5
5 = 2 * (-2/5) + c
c = 5 + (4/5)
c = 29/5
Therefore the equation of the line
y = mx + c
y = (-2/5) m + 29/5
