Step-by-step explanation:
The problem statement says λ<1. If this is true, then the cannonball is slower than the boat, and it will never reach the boat. So I assume it's actually λ>1.
If we say t is the amount of time, then the boat travels south a distance of ut, and the cannonball travels a distance of λut.
v = λut
ut = v/λ
Using Pythagorean theorem:
d² + (ut)² > v²
d² + (v/λ)² > v²
λ²d² + v² > λ²v²
λ²d² > (λ² − 1) v²
λ² / (λ² − 1) > (v/d)²
Answer:
5 cartons of eggs
3 packages of steaks
Total cost=$55
Step-by-step explanation:
Hi, to answer this question we have to find the least common multiple of
6 (number of eggs in a carton) and 10 (number of ham steaks in each package)
LCM = 30
6 12 18 24 30
10 20 30 40 50
Since each carton of eggs (x) has 6 eggs, that expression must be equal to 30(eggs) to find the number of cartons.
6 (x ) = 30
Solving for x
x = 30/6
x = 5 cartons
Same process for the steak, where y= number of packages .
10 y = 30
y = 30/10
y=3 packages
Since each carton costs $2 and each package of steaks cost $15:
Total Cost =x 2+y 15
Replacing with the values of x and y calculated
Total cost = (5)2 + (3)15 = 10+45 =$55
Feel free to ask for more if needed or if you did not understand something.
Y= 2x-3 i think, but i may be wrong
