Answer:
Given that speed(v) = 20km/h and time(t) = 50 min
We have to find distance (d)
First convert speed into m/s
v = (20*1000m)/(1*3600s)
v = (50/9) m/s
Now convert time into second
t = 50*60 = 3000 sec
As we know that
d = v*t = (50/9)*3000 = 50000/3
d = 16666.67m or 16.67km
Ans: 16666.67m or 16.67km
Step-by-step explanation:
Answer:
$6455.
Step-by-step explanation:
The formula for this investment is:
A = P(1 + r/4)^4t where P = amount deposited , A amount after t years,
r = rate (as a decimal fraction).
So we have:
7160.06 = P(1 + 0.026/4)^16
7160.06 = P * 1.109227
P = 7160.06 / 1.109227
= $6455.
Answer:
- <u>B. a line parallel to </u><u><em>m</em></u>
Explanation:
Imagine two points S with coordinates (a,b) and T with coordinates (c,d) on the line <em>m.</em>
- The slope of the line <em>m</em> is (d - b) / (c -a)
<em />
For your convenience choose the point P as the center of your coordinate system.
Then, when you <em>dilate</em> the line <em>m</em> by a factor K, the images of the points S and T, S' and T', will have coordinates (K × a, K × b) and (K × c, K × d), respectively.
Thus, the slope of the image of the line <em>m,</em> to which the segment S'T' belong, is:
- {K × d - K × b] / [K × c - K × a] = [ K (d-b) ] / [ K (c - a) ] = (d - b) / (c - a)
Hence, the slope of the line <em>m</em> and its image are equal,which means that they are parallel.
Basically, you're solving a proportion.
the proportion would be:
40/100 = 10/x
40 goes over 100 since it's a percent, and 10 and 40% are equal since 10 of the students in the art class represent 40% of the total number of students. X represents the missing info, which is the total number of students.
Now, you just cross multiply:
40(x) = 40x
10(100) = 1000
Since that's done, you now divide 1000 by 40, which equals 25.
There are 25 students in the art class :)
$3000/$40
$75 each
$75 - $40 = $35 (difference)