Two glasses of milk and 3 snack bars have a total of 63 carbohydrates (carbs), and 4 glasses of milk and 2 snack bars have a total of 82 carbs. Determine how many carbs are in one glass of milk and in one snack bar.

Glass of milk=15 carbs

One snack bar=11 carbs

Step-by-step explanation:

×2 2m+3s=631

×1 4m+2s=822

4m+6s=126

4m+2s=82

Cancel out the 4ms

6s=126

2s=82

minus top and bottom equations and remain with

4s= 44

s=44/4

s=11 ∴ one snack bar is 11 carbs

subs s=11 into equation 1

2m+3s=63

2m+3(11)=63

2m+33=63

2m=63-33

2m=30

m=30/2

m=15  ∴one glass of milk is 15 carbs

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm