The base price to rent a car is $60, and there is an additional cost of $2 per mile. the base price to rent a truck is $40, and their is an additional cost of $3 per mile. at how many miles will the cost be the same to rent either vehicle

At 20 miles.

Step-by-step explanation:

60 + 2m = 40 + 3m

-40

20 + 2m =  3m

-2m

20 = m

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

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