24,48,72,96,120,144,168,192,216,240,264...360
90,180,270,360
LCM of 24 and 90 is 360
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hope it helps
Answer:
1. Shape of line drawn by round ball is: Rectangle
2. Length of path round ball creates is: 64 inches
Step-by-step explanation:
The perimeter of the box is 30+30+14+14 = 88 inches.
We find a rectangle path of the round ball to be interior rectangle shape and measures 64 inches.
The shape of the path is rectangle, this is because when the balls direction from horizontal to vertical is drawn from the central line to the ball - the ball still rotates but such central line stays stationary in a straight line at same distance from edge as it changes direction so therefore it stays perpendicular and creates a rectangle shape. Only an oval ball would draw a line of oval shape due to its central line curving against the perpendicular edge of the rectangle. The round ball cannot create a square shape as the sides of the rectangle when reduced by 6'' + 6'' either side of length 30 = 18 inches and is still longer than the shorter sides of the box being 14'' which becomes 14- 6=8 inches to each side.
2. To find the path length- we look for the difference in width of the central ball first which is 12'' divided by 2 = 12/2 = 6 = 6 inches. We can then deduct this from 14'' and from 30'' then multiply by 2.
Width of one side = 14-6 = 8
= 8 inches
Length of one side = 30-6 = 24
= 24 inches
We add together 8+24 = 32, and then multiply by 2
32 *2 = 64
Whatever% of anything, is just (whatever/100) * anything.
the syrup is going to be 5lbs total, that includes the sugar in it as well as the water mix.
keeping in mind that the syrup will be a 1.5% syrup, namely 1.5% of it will be sugar, the rest just water then, how much is 1.5% of 5?
well, is just(1.5/100) * 5 or 0.075, namely lbs.
so, 0.075 lbs will be sugar and the rest water, the rest will be 5 - 0.075, or 4.925 lbs.
You would solve this by determining how many numbers from 1-10 can be multiples of 5. That's obviously 5 and 10. So that's 2/10 or reduced to 1/5. Now the second question you have to find how many numbers from 1-10 are prime. Prime is a number that can only be divided by 1 and itself. So that would leave you with 1, 3, 5, 7. I think where the trick comes into play is if you drew a 5 or 10 the first time, then you didn't place those cards back in the box, you couldn't draw them again. So the answer would 4/10 or 2/5 if you could draw the 5 again. Or I supposed if you had drew the 10 the first time and not the 5. I assume however, they want you to exclude 5 and 10 because it was part of the first section of this equation. So that would mean only 1, 3, and 7 or 3/10.
