Astudent solved this problem and said the answer is 8 1/2 pounds. jill's club bought 4 2/5 pounds of hot dogs, 3 1/2 pounds of hamburger, and 2 3/10 pounds of chicken for the picnic. how much meat did they buy altogether? is the student's answer reasonable? a. no, the answer is not reasonable. it should be about 12 pounds. b. no, the answer is not reasonable. it should be about 15 pounds. c. yes, the answer is reasonable. d. no, the answer is not reasonable. it should be about 10 pounds.

quick

D. No, the answer is not reasonable. It should be about 10 pounds.

Step-by-step explanation:

hot dogs : 4 2/5 lbs

hamburger : 3 1/2 lbs

chicken: 2 3/10 lbs

Rounding to the nearest 1/2 pound

hot dogs : 4  1/2 lbs

hamburger : 3 1/2 lbs

chicken: 2 1/2 lbs

            9 + 3/2

           10 1/2 lbs

This is a little high since we rounded up on the hot dogs and the chicken

The estimate is not reasonable, it is around 10 lbs

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4