123 lb * (0.4536 kg/lb) * 300mg/(kg · day)
= (123 * 0.4536 * 300) mg/day
= 16737.84 mg/day
16737.84 mg/day * 1g/(1000mg)
= 16.73784 g/day
Time = distance/speed
The distance between the walkers increases at the rate of (8 mph) -(2 mph) = 6 mph. That distance will be 4.5 mi after ...
(4.5 mi)/(6 mi/h) = 4.5/6 h = 3/4 h
In 3/4 hour they will be 4.5 miles apart.
Step-by-step explanation:
Solid paper costs 1.75 each
Printed paper costs 2.50 each
Given:
Ben = $43.50 (12 rolls solid paper and 9 rolls of printed paper)
Joel = $51.50 (8 rolls solid paper and 15 rolls of printed paper)
Let x = solid paper
Let y = printed paper
12x + 9y = 43.50
8x + 15y = 51.50
Find x:
8x + 15y = 51.50
8x = 51.50 - 15y
x = (51.50 - 15y)/8
Substitute x:
12x + 9y = 43.50
12(51.50 - 15y)/8 + 9y = 43.50
(618 - 180y)/8 + 9y = 43.50
8 (618 - 180y)/8 + 8*9y = 43.50 * 8
618 - 180y + 72y = 348
-108y = 348 - 618
-108y = -270
-108y/-108 = -270/-108
y = 2.50
x = (51.50 - 15y)/8
x = (51.50 - 15(2.5) /8
x = (51.50 - 37.50)/8
x = 14/8
x = 1.75
To check: x = 1.75 ; y = 2.5
12x + 9y = 43.50
12(1.75) + 9(2.5) = 43.50
21 + 22.50 = 43.50
43.50 = 43.50
8x + 15y = 51.50
8(1.75) + 15(2.5) = 51.50
14 + 37.50 = 51.50
51.50 = 51.50
Answer:
The solution to the given system of equations is (-2,
)
Therefore the values of x and y are x=-2 and 
Step-by-step explanation:
Given equations can be written as

Solving equation(2) we get
x=-2
Substitute x=-2 in equation (1) we get




Therefore the values of x and y are x=-2 and 
The solution to the given system of equations is (-2,
)