Answer:
150
Step-by-step explanation:
100 : 160 :: e : 240 proportion
160e = (100)(240)
160e = 24000
elves = 150
To determine the ratio, we need to know the formula of the area of an hexagon in terms of the length of its sides. We cannot directly conclude that the ratio would be 3, the same as that of the ratio of the lengths of the side, since it may be that the relationship of the area and length is not equal. The area of a hexagon is calculated by the expression:
A = (3√3/2) a^2
So, we let a1 be the length of the original hexagon and a2 be the length of the new hexagon.
A2/A1 = (3√3/2) a2^2 / (3√3/2) a1^2
A2/A1 = (a2 / a1)^2 = 3^2 = 9
Therefore, the ratio of the areas of the new and old hexagon would be 9.
Answer:
2094.5 muffins
Step-by-step explanation:
The problem is a little bit messy, but i’m guessing you meant that the elf ate 35% of the muffins, which 35% is 710 muffins. so since 35% of muffins is 710 muffins, let’s multiply that by 2 so we can get 70%.
so 710 x 2 is 1420. so 70% of the muffins is 1420 muffins! sadly that’s not all of the muffins. we’re still missing another 30%. since we don’t know how many muffins are in 30%, let’s just take 710 muffins - 5%. when you do that you get 674.5. so now that we know how much is in 30%, let’s take 1420 + 674.5. when you do that you get 2094.5! so you started off with 2094 and a half muffins!
Answer:
28 feet farther than 1st ball.
Step-by-step explanation:
We have been given that Susan threw a softball 42 yards on her first try and 
yard on her second try.
To find second ball is how much farther from the 1st ball, we will subtract 42 yards from yards.
Let us have a common denominator.
Therefore, Susan thrown the second ball 28 feet farther from the 1st ball.
Answer:
10214.51
Step-by-step explanation:
5900 * (1+ (0.05/12))^(12*11)
please give brainliest
