Answer:
Step-by-step explanation:
Sometimes the best thing you can do with this kind of question is just to graph it. The graph is below. Done on Desmos. It shows that the min is at (8,9)
So the answer is B.
Answer:
5.25 feet
Step-by-step explanation:
<h2>
Hello!</h2>
The answer is:
If six sacks are to be taken at a time, the weight of each sack should be at most 308 pounds.
<h2>
Why?</h2>
To calculate the weight that each sack should have, we first need to calculate how many pounds of the elevator capacity are free after is on it.
We know that Kevin weighs 150 pounds and the capacity of the elevator is 2000 pounds, so, calculating we have:
Now that we already know that there are 1850 pounds left to take the delivering sacks, we need to divide it by the number of sacks that need to be taken at a time, so:
So, we have that if six sacks are to be taken at a time, the weight of each sack should be at most 308 pounds.
Have a nice day!
Answer:
smallest integer=9,
total number of integers are in the sequence = 19.
Step-by-step explanation:
- let a be the first term and the number of terms be n. as they are consecutive,the common difference will be 1. these will form Arithmetic Progression series.
- the sum of n terms in AP series is :
[ where, l: last term]
- or, sum of n terms in AP series is :
[where, d: common difference]
using the first formula,
342 =
342=
342=2an .......equation 1.
using the second formula,
342=
684=n[2a+n-1]
684=2an+n^2-n
from equation 1,
342=n^2-n .......equation 1
-n-342=0
after solving, the solution to the above equation is 19.
substituting this in equation 2,
171=a[19]
a=9
so, smallest integer= a = 9,
total number of integers are in the sequence = n = 19.