The difference in the widths, in meters, of the human hair and the piece of sand is 
m.
It is given in the question that:-
Width of a human hair = 
m
Width of a piece of sand = 
m
We have to find the difference in the widths, in meters, of the human hair and the piece of sand.
We know that,
Difference between the widths = Width of a piece of sand - Width of a human hair
Hence, we can write,
Difference between the widths = m - m
We can write,
Hence,
Difference between the widths =
m
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Answer:
v = 12 km/h
Step-by-step explanation:
To find how much she should increase the speed first we need to find the distance traveled:
Where:
d: is the distance traveled =?
v: is the velocity = 8 km/h
t: is the time = 15 min (9:00 to 9:15)
Now, we can find the speed:
Therefore, she should increase the speed to 12 km/h to reach the office at 9:10 am.
I hope it helps you!
Answer:
C. 15/16
Step-by-step explanation:
A. Divide by 3
B. Divide by 5
C. Can't divide by anything.
D. Divide by 4
Answer:
(1, 3)
Step-by-step explanation:
The first number of each pair is the x-coordinate, the horizontal location of the point.
The end points of the graphed line segment are (1, 3) and (-3, -2). It looks like the answer choices are intended to see if you can tell what order the coordinates are expressed in.
The appropriate choice is (1, 3), the upper right end point.
Answer:
(3x-4)(x-5)
Step-by-step explanation:
This is in the form
ax²+bx+c.
To factor this, we find factors of a·c that sum to b; this means factors of 3(20) = 60 that sum to -19:
60 = 1(60) or -1(-60); 2(30) or -2(-30); 3(20) or -3(-20); 4(15) or -4(-15); 5(12) or -5(-12); 6(10) or -6(-10). The only of these that sum to -19 are -4 and -15. This means we will split up -19x into -4x and -15x:
3x²-4x-15x+20
Next we group the first two terms and the last two terms:
(3x²-4x)+(-15x+20)
Factor out the GCF of each group. For the first group, this is x:
x(3x-4)
For the second group, this is -5:
-5(3x-4)
The common factor for these two groups is (3x-4):
(3x-4)(x-5)
