Answer:
18 inches
Step-by-step explanation:
volume = lenght * width * depth
let the depth be x
32400=60*30*x
x=32400/(60*30)
x=32400/1800
x=18
Answer/Step-by-step explanation:
Slope (m) = rise/run
y-intercept (b) = starting value or the point on the y-axis where the line cuts across
✔️Slope (m) of skater 1:
Rise = 45
Run = 7.5
Slope (m) = 45/7.5 = 6
✔️ y-intercept (b) of Skater 1:
b = 0 (the y-axis is intercepted at 0)
✔️Skater 1 linear function in slope-intercept form, y = mx + b
Substitute m = 6 and b = 0 into y = mx + b
Linear function: y = 6x + 0
y = 6x
✔️Slope (m) of skater 2:
Rise = 30
Run = 15
Slope (m) = 30/15 = 2
✔️ y-intercept (b) of Skater 2:
b = 0 (the y-axis is intercepted at 0)
✔️Skater 2 linear function in slope-intercept form, y = mx + b
Substitute m = 2 and b = 0 into y = mx + b
Linear function: y = 2x + 0
y = 2x
Do you see a pattern in the given information?
3 pages in 13 min
9 pages in 39 min
15 pages in 65 min
the rate of pages per min is constant
3/13 = 9/39 = 15/65
the Question is asking for time.. So the we need the rate as min per page 13/3 so when multiplied by the number of pages it cancels to give minutes.
Units cancel out just like numbers do so you know that the problem is set up correctly.
So if the ratio is 3:1, that means for every 3/12 of the small triangle, there is 1/12 of the big one
the shaded area ratio is 1/12:1/4
Answer:
At least 6 students must be enrolled in the class for the instructor to make a profit.
At least 20 students must be enrolled in the class for the instructor to make $1,000 (or more) profit per month.
Step-by-step explanation:
The function
models the profit of the instructor of a guitar class per month.
1. If the instructor makes a profit, then

So, at least 6 students must be enrolled in the class for the instructor to make a profit.
2. If the instructor needs to make 1,000.00 profit per month, then

So, at least 20 students must be enrolled in the class for the instructor to make $1,000 (or more) profit per month.