Answer:
54 hope this helps
Step-by-step explanation:
Answer:
The total cost of producing 6 widgets is $231.
Step-by-step explanation:
Answer:
The speeds of the cars is: 0.625 miles/minute
Step-by-step explanation:
We use systems of equations in two variables to solve this problem.
Recall that the definition of speed (v) is the quotient of the distance traveled divided the time it took : 
. Notice as well that the speed of both cars is the same, but their times are different because they covered different distances. So if we find the distances they covered, we can easily find what their speed was.
Writing the velocity equation for car A (which reached its destination in 24 minutes) is:
Now we write a similar equation for car B which travels 5 miles further than car A and does it in 32 minutes:
Now we solve for 
in this last equation and make the substitution in the equation for car A:
So this is the speed of both cars: 0.625 miles/minute
Answer:
(12, 487)
Step-by-step explanation:
y = 3.7x + 442 ----› Eqn. 1
y = 14.4x + 312 ----› Eqn. 2
Substitute y = (3.7x + 442) into eqn. 2.
y = 14.4x + 312 ----› Eqn. 2
3.7x + 442 = 14.4x + 312
Collect like terms
3.7x - 14.4x = -442 + 312
-10.7x = -130
Divide both sides by -10.7
x = 12.1495327
Substitute x = 12.1495327 into eqn. 1.
y = 3.7x + 442 ----› Eqn. 1
y = 3.7(12.1495327) + 442
y = 486.953271
The solution to the system is rounded to the nearest integer:
(12, 487)
6/4 = 1.5 liters of pain per brother
