we know that
the car gets 18 miles per -----------> 1 gallon of gasoline
so
for 543 miles ---------------------> x gallons of gasoline
by proportion
543/18=x/1---------->x=543/18------->x=30.17 gallons
therefore
the answer is
30.17 gallons
Set them into slope-intercept forms of equations then set those equations equal to each other and solve for x and y. y = 34x - 5 and y = -14x+3. Set those equal to each other, solve for x to get x = 1/6. Sub in that x value to get y = 2/3. The point where they intersect is the solution of the system; in other words, where on both lines we have the exact same (x, y) value.
You start with a 1/4 chance of picking a diamond.
you remove it from the deck you now have a 12/51 chance of picking a diamond
1/17 is your answer!
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Total = Principal * (1+(rate/n))^n*years
Total = 1,200 * (1.015)^14
Total =
1,200 * <span><span><span>1.2317557307
</span>
</span>
</span>
<span>Total =
1,478.11</span>
Source:
http://www.1728.org/compint3.htm
The intersection is where the sets overlap. picture a Venn diagram (two overlapping circles). The intersection is only the overlap part. So for this problem that would be C. {20}
