PART B
THE FAMILY ESTIMATES THEY WILL TRAVEL 750 MILES TOTAL. IN ADDITION TO THE TRUCK RENTAL COST, THEY WILL ALSO
NEED TO PAY FOR GASOLINE. THE PRICE OF GASOLINE IS $3.50 PER GALLON ACROSS THE STATES THEY WILL BE TRAVELING,
THE TRUCK FROM COMPANY X AVERAGES 10 MILES PER GALLON; THE TRUCK FROM COMPANY Y AVERAGES 1 MILES PER
GALLON.
WHICH OF THE TWO TRUCKS SHOULD THE FAMILY RENT? PROVIDE AN ANSWER SUPPORTED BY VALID MATHEMATICAL
REASONING AND/OR CALCULATIONS.

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

#12 the answer is the third option