volume of the center sphere = 4/3*PI*r^3
r = 3 ( given in the picture)
so 4/3 * 3.14 *3^3 = 113.04 cubic feet
volume of 1 cone: pi *r^2 *h/3
r = 3 and h=3 ( given in the picture)
so 3.14 * 3^2 * 3/3 = 28.26 cubic feet
there are 4 cones so 28.26* 4 = 113.04 cubic feet
113.04 + 113.04 = 226.08 cubic feet
rounded to nearest cubic foot = 226 cubic feet
If we add the equations it looks like
-5y + 8x + 5y + 2x = -18+58
so 10x=40
so x=40/10=4
now let's replace x by 4 in the second equation
5y +2*4=58
5y=58-2*4=58-8=50
so y=50/5=10
so (x, y) = (2, 10)
Y = 7.25x
Where x = hours.
You can get this by dividing the amount by the amount of hours in each pair.
Answer:
i knew it but i forgot
Step-by-step explanation:
Answer: C) y = -5x + 27 and D) y = 2x - 15
<u>Step-by-step explanation:</u>
Substitute x = 6 and y = -3 into each of the given equations to see which result in a TRUE statement.
A) y = -3x + 6
-3 = -3(6) + 6
-3 = -18 + 6
-3 = -12 FALSE
B) y = 2x - 9
-3 = 2(6) - 9
-3 = 12 - 9
-3 = 3 FALSE
C) y = -5x + 27
-3 = -5(6) + 27
-3 = -30 + 27
-3 = -3 TRUE!
D) y = 2x - 15
-3 = 2(6) - 15
-3 = 12 - 15
-3 = -3 TRUE!
E) y = -4x + 27
-3 = -4(6) + 27
-3 = -24 + 27
-3 = 3 FALSE