Vera estimates that it will take her 16 2/3 hours to complete her work she spent
4 1/6 hours. what fraction did she work

1/4

Step-by-step explanation:

Step 1: Convert to improper fractions

16 2/3= 50/3, 4 1/6=25/6.

Step 2: Find common denominator

50/3=100/6, 25/6=25/6

Step 3: Multiply both terms by 6,

(100/6)*6=100

(25/6)*6=25

Step 4: Divide the time Vera worked by the total time she has to work:

25/100

Step 5: Simplify

=1/4

(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

h= 12 inches

step-by-step explanation: