Allie answered 72% of the questions on her math test correctly. if she answered 18 questions correctly, how many questions were on the test?

25 questions

Step-by-step explanation:

The answer to this question can be solved by setting up a proportion, or equivalent ratios (fractions).  Since we know that 18 questions was equal to 72% correct on the test, we can set up a proportion to find the total number of questions:

, where 'x' represents the total number of questions (or 100%) of the questions on the test.

Cross-multiply and divide:  72x = 18(100) or 72x = 1800

Divide both sides by 72:  72x/72 = 1800/72

Solve for x:  x = 25 questions

c

step-by-step explanation:

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