Answer:
The answer to the question is
1.5 hours that is;
When the distance between them is more then 135 miles is after 1.5 hours and they will lose radio contact at 3:30 p.m.
Step-by-step explanation:
We note that
The speed of the military convoy headed north =50 mph
The speed of the convoy headed south = 40 mph
Let t be the time taken for the two convoys to be 135 miles apart
The time taken for the two convoys to be 135 miles apart is given by
50×t miles+ 40×t miles= 135 miles
That is 90×t miles = 135 miles
t = 135/90 = 1.5 hrs
Answer:
Step-by-step explanation:
We have been given that the elevation of driskill mountain Louisiana is 163 meters above sea level. The death Valley has an elevation of -86 meters.
We can represent this information in an inequality as: . Our inequality means that the elevation of death valley is less than elevation of driskill mountain.
Answer: The company should produce 7 skateboards and 16 rollerskates in order to maximize profit.
Step-by-step explanation: Let the skateboards be represented by s and the rollerskates be represented by r. The available amount of labour is 30 units, and to produce a skateboard requires 2 units of labor while to produce a rollerskate requires 1 unit. This can be expressed as follows;
2s + r = 30 ------(1)
Also there are 40 units of materials available, and to produce a skateboard requires 1 unit while a rollerskate requires 2 units. This too can be expressed as follows;
s + 2r = 40 ------(2)
With the pair of simultaneous equations we can now solve for both variables by using the substitution method as follows;
In equation (1), let r = 30 - 2s
Substitute for r into equation (2)
s + 2(30 - 2s) = 40
s + 60 - 4s = 40
Collect like terms,
s - 4s = 40 - 60
-3s = -20
Divide both sides of the equation by -3
s = 6.67
(Rounded up to the nearest whole number, s = 7)
Substitute for the value of s into equation (1)
2s + r = 30
2(7) + r = 30
14 + r = 30
Subtract 14 from both sides of the equation
r = 16
Therefore in order to maximize profit, the company should produce 7 skateboards and 16 rollerskates.
Answer:
The answer is
Step-by-step explanation:
C................
