the drama club you are part of is hosting a pancake breakfast. you are in charge of buying the sausage, which costs $5 per pound, and bacon, which costs $4 per
pound. the meat budget you are given totals $500 dollars. the inequality 5x + 4y < 500 represents the possible combinations of pounds of sausage (x) and bacon
(y) you can buy
a. 20 pounds of sausage and 90 pound of bacon
b. 40 pound of sausage and 40 pound of bacon
c. 60 pound of sausage and 80 pound of bacon
d. 80 pound of sausage and 20 pound of bacon

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

The possible combinations of pounds of sausage (x) and bacon (y) shown below,

A. 20 pounds of sausage and 90 pound of bacon

B.40 pound of sausage and 40 pound of bacon

D. 80 pound of sausage and 20 pound of bacon

For the possible combinations of pounds of sausage (x) and bacon (y) , inequality show below is,

                      5x + 4y < 500

Now check option A, for x = 20 and y = 90

            5(20) + 4(90) < 500

                 460 < 500 , which is true

So, option A can be the combination.

Check option B,  for x = 40, y = 40

              360 < 500 , which is true

So, option B can be the combination.

Check option C, for x= 60 and y = 80

          5(60) + 4(80)< 500

              620 < 500 , which is false

So, option C never be a combination.

Check option D, for x= 80 and y = 20

             5(80) + 4(20) < 500

                   480 < 500 , which is true

So, option D can be combination.

Therefore, option A, B and D can be the combination.

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Step-by-step explanation:

Look at the pictures.

x - sausage

y - bacon

A. 20 pounds of sausage and 90 pound of bacon

x = 20 → y = 100 > 90

B. 40 pound of sausage and 40 pound of bacon

x = 40 → y = 75 > 40

C. 60 pound of sausage and 80 pound of bacon

x = 60 → y = 50 < 80

D. 80 pound of sausage and 20 pound of bacon

x = 80 → y = 25 > 20

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