Answer: 12 friends.
Step-by-step explanation:
the data we have is:
Mei Su had 80 coins.
She gave the coins to her friends, in such a way that every friend got a different number of coins, then we have that:
The maximum number of friends that could have coins is when:
friend 1 got 1 coin
friend 2 got 2 coins
friend 3 got 3 coins
friend N got N coins
in such a way that:
(1 + 2 + 3 + ... + N) ≥ 79
I use 79 because "she gave most of the coins", not all.
We want to find the maximum possible N.
Then let's calculate:
1 + 2 + 3 + 4 + 5 = 15
15 + 6 + 7 + 8 + 9 + 10 = 55
now we are close, lets add by one number:
55 + 11 = 66
66 + 12 = 78
now, we can not add more because we will have a number larger than 80.
Then we have N = 12
This means that the maximum number of friends is 12.
Answer:
Step-by-step explanation:
<u>Given points:</u>
- A(-1, -9) and M(0.5, -2.5)
Let the coordinates of B are (x, y)
<u>Use midpoint formula to determine the point B:</u>
- 0.5 = (- 1 + x)/2 ⇒ 1 = -1 + x ⇒ x = 1 + 1 = 2
- -2.5 = (-9 + y)/2 ⇒ -5 = -9 + y ⇒ y = -5 + 9 = 4
The width is five feet and the length is seven feet.
Well, we know perimeter is just adding all the lengths together.
And we already know 2 of the lengths, so we know the rest. 11 1/2 is the same as the opposite side, and 6 1/3 is the same as the opposite side.
So the sides are 6 1/3, 6 1/3, 11 1/2, 11 1/2.
Add them up:
6 1/3 + 6 1/3 + 11 1/2 + 11 1/2.
Improper fractions:
19/3 + 19/3 + 23/2 + 23/2.
Common denominator, (6):
38/6 + 38/6 + 69/6 + 69/6 = 214/6.
Simplify:
214/6 = 35 2/3
