4 pencils . 4/9 of an hour = 4/9 of 60 minutes = 4/9 * 60 = 80/3 minutes
x pencils = ? . one hour = 60 minutes
14 * 60 = 80/3 * x /*3
14 * 60 * 3 = 80 * x
80 * x = 2520 /80
x = 2520 / 80
x = 31.5 pencils
The result would be 32 pencils in one hour.
First lets convert the diameter to cm,
2.4 m equals 240 cm, that is by multiplying 2.4 times 100 because 1 meter has 100 cm
then we need to know how to calculate the circumference, and that is by multiplying pi (3.14) times the diameter of the circumference, that is:
circumference = pi*diameter = 3.14*240
circumference = 753.6 cm
that is the solution
Selection A is appropriate.
_____
The rim is exerting an upward force on your fingers (creating tension in your fingers and arms); gravity is exerting a downward force on your body's center of mass.
2/3(4)= 8/3
(2/3)(4/1)
(2)(4)/(3)(1)
=8/3
hope this helps!
Direct variation: y=kx where k is some number thats not 0
that means if x is 2, y is 2k. if x is 1, y is k. if x is 0, y is 0.
notice: no matter what k is, when you put 0 in for x, y will always be 0. that means that a direct variation always goes through the origin, a.k.a. (0,0).
do all lines go through the origin? nah. a line is y=mx+b, where m and b are some numbers. a line is only a direct variation if b is 0. this makes sense because if b is 0, then the y-intercept is 0, so the line goes through the origin.
in conclusion, no, not all linear relationships are direct varations, but all direct variations are linear relationships.
