Answer:

Step-by-step explanation:
For
, we have two cases:

Therefore, for
, we have the following cases:

Solving, we have:
.
Therefore,

Answer:
864
Step-by-step explanation:
Volume of cup = ⅓pi×r²×h
Diameter = 2, radius = 1
= ⅓×3.142 × 1² × 4 = 4.1893333333 in³
To empty the sink, 864 scoops will be required
(3617/4.1893333 = 863.383)
Answer:
7 2/3 minutes
Step-by-step explanation:
We can write this equation in y = mx+b form
where m = 3 ft/min and b = -105 ft
x is the number of minutes and y is the depth
y = 3 * x -105
We want to find when y = -82
-82 = 3x -105
Add 105 to each side
-82+105 = 3x-105+105
23=3x
Divide by 3
23/3 = 3x/3
23/3=x
Changing into a mixed number
3 goes into 23 7 times with 2 left over
7 2/3 minutes
Answer:
The maximum number of sandwiches she can buy is 24.
Step-by-step explanation:
We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:

Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:

Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.
Answer:
A (0,5)
Step-by-step explanation:
Look where both lines intersect.