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:
35
Step-by-step explanation:
So the triangle who posses the angle with measurement k=35 is an isosceles. I know this because there are two congruent legs. Those 2 congruent legs tell us the angles opposite of them are all congruent.
So we know one equation to solve is:
x+x+35=180 where x is the base angle in the left triangle picture.
Combine like terms:
2x+35=180
Subtract 35 on both sides:
2x=180-35
Simplify:
2x=145
Divide both sides by 2:
x=72.5
So one of the base angles of the left isosceles triangle is vertical with with another angle in the right. This triangle on the right is also isosceles.
So we know that 72.5+72.5+h=180.
Combine like terms:
145+h=180
Subtract 145 on both sides:
h=180-145
Simplify:
h=35
Answer:
Step-by-step explanation:
By my definition, no. There's a continuity up to and including just before 1 approaching from the left, and there's a continuity just after 1 going to the right. But 1 itself has a special definition h(x) = 4 when x = 1 and that makes it discontinuous.
(a) 0.50 per pound, you do 6 divided by 12
(b) 9.17 pounds per field, you do 55 divided by 6
