The common difference is 4. If you look at the numbers 1 and 5, there is a difference of 4. If you look at 5 and 9, there is also a difference of 4. If you look at 9 and 13, there is a difference of 4. Therefore, in this arithmetic sequence, the common difference is 4.
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The coordinates of the second point are (2, 4).
The midpoint formula is:
Substituting our information, we have:
This means that
Multiply both sides of both equations by 2 to cancel it:
This gives us our coordinates (2, 4)
Total no. of sandwiches = 480
No. of tuna sandwiches = 3/8*480 = 180 sandwiches
No. of beef sandwiches= 35% of 480
= 35/100*480 = 168 sandwiches
Remaining no. of sandwiches = 480-(168+180) = 132 sandwiches
Let no. of ham sandwiches be 5x
Let no. of cheese sandwiches be 6x
5x + 6x = 132
11x = 132
x = 132/11 = 12
No. of cheese sandwiches = 6x = 12*6 = 72 sandwiches
No. of ham sandwiches = 5x = 5*12 = 60 sandwiches
A) 60
b) 50
c) 70
The proportion of males that prefer sports is 0.3; 0.3(200) = 60
The proportion of people that prefer to read is (0.15+0.1) = 0.25; 0.25(200) = 50
The proportion of people that are female is (0.15+0.05+0.15) = 0.35; 0.35(200) = 70
