Step-by-step explanation:
Since it remains only 1 sweet, we can subtract it from the total and get the amount of sweets distributed (=1024).
As all the sweets are distributed equally, we must divide the number of distributed sweets by all its dividers (excluding 1024 and 1, we'll see later why):
1) 512 => 2 partecipants
2) 256 => 4 partecipants
3) 128 => 8 partecipants
4) 64 => 16 partecipants
5) 32 => 32 partecipants
6) 16 => 64 partecipants
7) 8 => 128 partecipants
9) 4 => 256 partecipants
10) 2 => 512 partecipants
The number on the left represents the number of sweets given to the partecipants, and on the right we have the number of the partecipants. Note that all the numbers on the left are dividers of 1024.
Why excluding 1 and 1024? Because the problem tells us that there remains 1 sweet. If there was 1 sweet for every partecipant, the number of partecipants would be 1025, but that's not possible as there remains 1 sweet. If it was 1024, it wouldn't work as well because the sweets are 1025 and if 1 is not distributed it goes again against the problem that says all sweets are equally distributed.
Solution:
we have been asked to find
If you ran exactly one mile, how many feet did you run.
It mean , we will have to convert miles in feet.
As we know that
1 mile is equivalent to 5280 feet.
Hence , we can use this conversion to get the exact value of miles in feet.
If you ran exactly one mile,it mean you ran exactly for 5280 feet.
Hi! to solve the question, how many necklaces did anne make in 16 hours if she makes 10 items in 2 standard 8-hour work days, we should first check the time she needs to make each item.
3 individual hours to make a necklace, and 1 hour to make a ring. according to the problem, she made 10 items in 16 hours. this problem will most likely be trial and error. let’s try one first guess.
my first guess will be, maybe she will make 6 rings and 4 necklaces. 6 times 1 is 6, which takes 6 hours for the rings. 4 times 3 is equal to 12. 6 + 12 is too high! let’s try again.
what about 6 rings and 2 necklaces? 6 times 1 is 6, so that’s 6 hours. 2 times 3 is 6 hours! 6 plus 6 is 12, which is close, but not quite there!
let’s try 7 rings and 3 necklaces! 7 times 1 is 7 hours. 3 times 3 is equal to 9 hours! total that together, 7 plus 9, is equal to 16 hours spent!
so, the answer would be, “Anne made 7 rings and 3 necklaces within 16 hours.” hope this helped!:)
The diagram is of a right triangle with
Hypotenuse = 233
One leg of the triangle = 105
Another Leg = <em>we have to find</em>
<em />
<em />
Pythagorean Theorem can be written as:
Thus, we can write:
![\begin{gathered} 105^2+\text{AnotherLeg}^2=233^2 \\ \text{AnotherLeg}^2=233^2-105^2 \\ \text{AnotherLeg}^2=43264 \\ \text{AnotherLeg}=\sqrt[]{43264} \\ \text{AnotherLeg}=208\text{ ft} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20105%5E2%2B%5Ctext%7BAnotherLeg%7D%5E2%3D233%5E2%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%5E2%3D233%5E2-105%5E2%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%5E2%3D43264%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%3D%5Csqrt%5B%5D%7B43264%7D%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%3D208%5Ctext%7B%20ft%7D%20%5Cend%7Bgathered%7D)
Thus,
The distance between the traffic lights on Walnut Street is:
208 feet
