Answer:
151/30
Step-by-step explanation:
if you subsitute it you will get 3 1/10
We'll start by calling the number of pigeons we started with x, because it's the unknown.
After she clapped 1/3 flew away so she was left with
(1 - 1/3) x = (2/3) x
Two flew back, so now there are
(2/3) x + 2
She clapped again and half left, half stayed, so now
(1/2) ( (2/3) x + 2 )
One came back and there were five,
(1/2) ( (2/3) x + 2 ) + 1 = 5
Solving is unraveling.
(1/2) ( (2/3) x + 2 ) = 4
(2/3) x + 2 = 8
(2/3) x = 6
x = (3/2) 6 = 9
Answer: 9 pigeons
Check: Reviewing the story, 9 -> 6 -> 8 -> 4 -> 5 good
First of all, you would make 6 1/4 into an improper fraction. This makes it 25/4, then you multiply it by 2 to get 50/8 and have common denominators. Divide that by 1/8, which would be 50. Then since each 1/8 costs 2 dollars you would multiply 50 by 2. So, the answer would be that they made 100 dollars.
27. To find this one, you would need to use the Pythagorean theorem, making the answers B and D.
28. Make a mark with your pencil. Set the compass so it has a point on each end of line ab. Now set the side of the compass without the pencil on the mark you already made and mark it. Use the straight edge to make the marks into a line. Now set the compass to the size of line cd. Set the non pencil side on one of the point of your line you just made. Make a mark. Now erase the part of the line that is the length of cd so it is ab-cd.
29. (4,3) I look at the distance between the x coordinates and add it to the end that is the middle and do the same for the y.
30. Put either side of the compass on the ends of the line. put the non pencil side on point x. Make a decent sized arc with the compass. Pick however many spots you needed and mark them. Use the straight edge to connect these points to point x. Repeat for all the points. Erase the arc.
Hope this helped. Let me know if you need any more help!
Answer:
1/5,764,801
Step-by-step explanation:
We have this as follows
All we have to do is use the laws of indices
We have it that;
a^-x = 1/a^x
a^x/a^y = a^(x-y)
Applying these laws;
7^-3/7^5
= 7^-3-5
= 7^-8
= 1/7^8
= 1/5,764,801
