Answer: the sand in the new terrarium is 2 inches deep.
Step-by-step explanation:
Zach has a terrarium with the dimensions of 20 by 8 and the terrarium was filled with 3 inches of sand. It means that the volume of sand that this terrarium contains is
20 × 8 × 3 = 480 inches³
Zach gets a new terrarium that is larger with the dimensions of 10 by 24. If Zach moved the existing sand in the new terrarium and the height of the sand is represented by h, then the volume of sand into he new terrarium is
10 × 24 × h = 240h
Since the volume of sand in both terrariums is equal, then
240h = 480
h = 480/240
h = 2 inches
Answer:
The answer to your question is y = 2x + 11
Step-by-step explanation:
Data
Original line y = -(1/2)x + 5
Point (-4, 3)
Process
1.- Get the slope of the new line
- Slope of the original line = -1/2
If the lines are perpendicular, the slopes must be reciprocal
-1/2 reciprocal = 2
2.- Get the equation of the new line
y - y1 = m(x - x1)
y - 3 = 2(x + 4)
- Simplification
y - 3 = 2x + 8
- Solve for y
y = 2x + 8 + 3
y = 2x + 11
Answer:
24
Step-by-step explanation:
if he can make 4 birdhouses in 1 1/2 hours, 1 1/2 hours x 2 = 3. 8 birdhouses per 3 hours. 3 x 3 = 9 hours, 8 x 3 = 27
Answer:
Step-by-step explanation:
y = mx + b
slope(m) = 1/9
y int (b) = 8.....or (0,8)
y = 1/9x + 8.....this is ur equation
ur x intercept is : (can be found by subbing in 0 for y
0 = 1/9x + 8
-1/9x = 8
x = 8 * -9
x = - 72....or (-72,0)
Answer:
6x+3
Step-by-step explanation:
You first must distribute the negative sign to 3x+7, giving you -3x+7. Then you combine like terms (the 9x+(-3x) and 10+(-7)). This would give you 6x+3
