M = -9 ; solve for m by simplifying both sides of the equation, then isolating the varible
Answer:
23.52 miles
Step-by-step explanation:
Let us find the number of miles that they would have run.
Kana starts at 9:35 a.m. and runs at an average rate of 7 mph.
Let the time she has spent so far be t.
Speed is given as:
s = d / t
where d = distance and t = time
=> d = s * t
Therefore, for Kana:
d = 7 * t = 7t _____________(1)
Ji-Hun starts at 10:00 am (25 minutes after Hannah) and runs at an average rate of 8 mph.
25 minutes = 25/60 hour = 0.42 hour
So, his time (compared to Kana's) is t - 0.42.
therefore, for Ji-Hun:
d = 8 * (t - 0.42)
=> d = 8t - 3.36 ____________(2)
Equating (1) and (2):
7t = 8t - 3.36
=> 8t - 7t = 3.36
t = 3.36 hours
Therefore, let us find d:
d = 7 * 3.36 = 23.52 miles
So, Ji-Hun will catch up to Kana after 23.52 miles.
It's pretty simple if you just read through it carefully. Here you go.
Answer:
b) 1000x + 115
Step-by-step explanation:
C = 20y + 15
= 20(50x + 5) + 15
= 1000x + 100 + 15
= 1000x + 115
Every single one of those polynomials factors. When factored, your expression looks like this:
. When you cancel the like factors out, what you're left with is this:
. That means that b = 9, c = 1, and d = -2
