A patient is put on a diet to lose 35 pounds in three months. The patient loses 14 1/2
pounds the first month and 12 3/4 pounds the second month. How much weight must
be lost the third month to achieve the goal?
71/4 pounds
73/4 pounds
81/3 pounds
8 1/2 pounds

7.75 lbs or 7 3/4 lbs

Option: B

Step-by-step explanation:

You must first add the already lost weight. Then subtract the weight already lost from the desired goal.

My work:

14.5+12.75=27.25

35-27.25=7.75

Note- i changed the fractions into decimals because it was easier to put into my calculator

this may not be at all, but i use the same website you're using for school, and if i'm stuck doing one of these i try to look for it on the section.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240