Step-by-step explanation:
x =7y ----(1)
xy=252 ----(2)
(1) into (2):
(7y)(y) = 252
7y=15.874....
y=2.27
y value into (1)
x= 7(2.268)
x=15.87
the two numbers are 15.87 and 2.27 (Ans)
Substitute y = x - 8 for y in 2x + 3y = 1:
2x + 3(x - 8) = 1
2x + 3x - 24 = 1
5x - 24 = 1
5x = 25
x = 5
Substitute 5 for x in y = x - 8 and 2x + 3y = 1
y = 5 - 8 --> y = -3
2(5) + 3y = 1 --> 10 + 3y = 1 --> 3y = -9 --> y = -3
x = 5 and y = -3
The first partner in the handshake can be any one of 15 people.
The second partner can be any one of 14 people.
So the total number of possible arrangements is (15 x 14) = <u>210</u> .
<em><u>BUT . . . .</u></em>
If Mr. Smith and Mr. Jones are shaking hands, it doesn't matter which one is the first partner and which one is the second partner ... It's the same handshake either way.
That number of ' <u>210</u> ' up above counted both ways separately. The real number of handshakes <em>between different people</em> is half of that 210/2 = <em>105 handshakes</em>.
Answer:
The answer instead is 10:14.
Step-by-step explanation:
In this case, there are ten boys and fourteen girls in this class. The ration would then be 10:14. Instead, Jeff said 5:12 which isn't correct. He can correct it by using the number of boys given, find the difference of girls in a class of twenty-four students, and then get his answer!
