Answer: The prime factorization of 1001 is 7*11*13, so with the constraint that the tables seat between 2 and 19 guests, we can use tables that seat either 7, 11, or 13 guests.
For tables that seat 7, the caterer would need 11*13 = 143 tables.
For tables that seat 11, the caterer would need 7*13 = 91 tables.
For tables that seat 13, the caterer would need 7*11 = 77 tables
Step-by-step explanation:
hopefully this is right
Answer:
<em>22 units</em>
Step-by-step explanation:
Graphed to solve.
Width:
The distance between points K and G, and points J and H is both 4 units. So for both distances between the set of points will be 8 units total.
Length:
The distance between points G and H, and points J and K is both 7 units. So for both distances between the sets of points will be 14 units total.
14 + 8 = 22
(3.6x - 1.9)4 = 28.4
3.6x - 1.9 = 7.1
3.6x = 7.1 + 1.9
3.6x = 9
x = 9 / 3.6
x = 2.5 (value of x)
3.6(2.5) - 1.9 = 7.1 (side length)
you want to multiply it by 4 because right now its only showing one side. perimeter is all 4 sides combined
Number of hours on video games and test scores, average running speed and total race time, and outside temperature and amount of a heating bill
Answer:
Step-by-step explanation:
The logistic differential equation is as follows:
In this problem, we have that:
, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.
At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.
This means that when . With this, we can find r, that is, the growth rate,
So
So the differential equation is: