Answer:
6 knots
Step-by-step explanation:
Let the speed be v knots
then time taken to cover 500 M = 500 / v hrs
fuel consumption /hr = 216 + 0.5v^3
let F be the fuel consumption for trip
= [500/v][216 + 0.5v^3]
= 500[216/v + 0.5v^2]
dF/dv = 500[ - 216/v^2 + v]
d^2F/d^2v = 500[432/v^3 + 1] , i.e. +ve
so setting dF/dv will give a minima
500[ -216/v^2 + v] = 0
or v = 216/v^2
or v^3 = 216
solving, we get v = [216]^(1/3) = 6 knots
Answer:
8x^2+19x
Step-by-step explanation:
Simplify the expression by combining like terms. Terms which look a like and sound a like should be added together.
3x^2+7x+3+5x^2+12x
x^2 terms: 3x^2+5x^2=8x^2
x terms: 7x+12x=19x
constants: 3
Together is is 8x^2+19x+3.
Answer:
6.66 yards of ribbon.
Step-by-step explanation:
If she has 10 yards of ribbon and divides it equally into three parts, those 3 parts would each be 3.33 yards long or 3 (1/3) yards long.
If she uses two of those parts on gifts, then she would use 3.33 x 2 or 6.66 yards of ribbon.
Answer:
B. 2
Step-by-step explanation:
We have been given that a worker carries jugs of liquid soap from a production line to a packing area, carrying 4 jugs per trip.
Since worker has made 17 trips, so total number of hugs of liquid soap would be 17 times number of jugs carried per trip.
.
Since each carton holds 7 jugs, so number of cartoons would be 
.
We can see that there are 9 completely filled cartoons and there are 5 jugs remaining, so we need 
jugs.
Therefore, we need 2 jugs to fill the 10th cartoon and option B is the correct choice.
Use a calculator
Just look up how to find unit rates and it should be easy
