Create equations using the given information
1) x+y=56
2) y=x-16
Substitute the value of y into the 1st equation and simplify
1)x+x-16=56
2x=72
x=36
Substitute the value of x into the 1st equation and simplify
1)x+y=56
36+y=56
y=20
Answer: 20 and 36
C. $360
$224x4=896 (total profit)
$896 (total) - $536 (first month profit) = $360 (second month profit)
The first thing we must know is the following definition:
d = v * t
Where,
d: distance
v: speed
t: time
Therefore, the total distance traveled in this case is:
(5.5) * (0.5) + (1.5) * p = 13.25
Rewriting:
2.75 + 1.5p = 13.25
Clearing the value of p we have:
p = (13.25-2.75) / (1.5)
p = 7
Answer:
an equation representing this situation is:
2.75 + 1.5p = 13.25
DeAngelo's rate for the last 1.5 hours of his run is 7 miles per hour
A ray starts at one point and goes on forever.
So you just draw a point and a line extending from it with an arrow at the end of the line(the arrow tells you that it goes on forever).
Answer: Hello mate!
Let's define the variable t as the time, and define t = 0 as the moment when the first skater starts to move:
We know that the speed of the first skater is 8 m/s, and we need to find the position as a function of time, then we need to integrate the velocity over time
if v1(t) = 8m/s
then p1(t) = (8m/s)*t
now we also know that the second skater has a velocity of 9m/s and enters in the frozen lake at t= 10s.
then the velocity of the second skater is: v2(t) = 9m/s, and the position is:
p2(t) = (9m/s)*(t - 10s)
now we want to know how many seconds after the second skater starts are needed for the second skater to overtake the first one.
this is equivalent to see when his positions will be equal.
so p1(t) = p2(t):
(8m/s)*t = (9m/s)(t - 10s) = (9m/s)*t - 90m
(8m/s)*t - (9m/s)*t = -90m
(-1m/s)*t = 90m
t = 90m/(1m/s) = 90s
Then in t = 90 seconds, the second skater will overtake the first one, and knowing that the second skater started at t = 10 seconds; there are 80 seconds after the second skater started needed to overtake the first skater.
