Answer: 5508
Step-by-step explanation:
all the numbers together equal 72 marbles in total.
(6x2)x (3x3)x (3x17)=
12 9 51 first multiply the easy numbers 12x9 =108 then
108x51= 5508
Answer:
The tip of the man shadow moves at the rate of 
Step-by-step explanation:
Let's draw a figure that describes the given situation.
Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.
Here it forms two similar triangles.
Let's find the distance "y" using proportion.
From the figure, we can form a proportion.

Cross multiplying, we get
15(y -x) = 6y
15y - 15x = 6y
15y - 6y = 15x
9y = 15x
y = 
We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).
----(1)
We are given
. Plug in the equation (1), we get

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.
Answer:
The slope is -10, and the y-intercept is 1
Step-by-step explanation:
The slope is in the equation and always has a variable next to it (In this case, -10x, so -10 is the slope)
The y-intercept is 1 and that is also in the equation and does not have any variables next to it (In this case, + 1, so it is 1)
Answer:
0.055
Step-by-step explanation:
You want to move the decimal from the % left two places.