Answer:
13.5
Step-by-step explanation:
219-84=135
10*13.5=135
so it would take 13.5 minutes to get to 219 since 84+135=219
Let us assume the smallest of the three consecutive integers = x
Then
The middle integer among the three consecutive integers will be = x + 1
The biggest integer among the three consecutive integers will be = x + 2
The sum of the three consecutive integers is already given in the question and it is -165.
Then
x + x + 1 + x + 2 = - 165
3x + 3 = - 165
3x = - 165 - 3
3x = - 168
x = - (168/3)
= - 56
So the integer that is closest to zero is - 56. This is the answer you were looking for hopefully. The other integers will obviously be at a greater distance from zero.
Answer:
Step-by-step explanation:
Money to be spent is not more than $400.
Cost of a case of water = $7
Cost of each sandwich = $5
Let number of cases of water bought be 
Number of sandwiches bought be 
From the question we get
The inequality which would determine how many sandwiches, and how many cases of water that can be bought is .
is differentiable across its domain, so the MVT says there is some value of
in the open interval
such that
You have
so the equation above becomes
Solve for
.
so
is indeed the average of the endpoints, i.e. the midpoint.
To maximize the area you want the largest numbers possible to be added together, in order to do so, divided 70 by 2.
70/2 = 35
35 x 35 is the answer because it provides the maximum area.
