On her math test, anna is asked to write an inequality that fits the following situation: the library is having a contest to guess the number of candy pieces in a jar. john’s guess of three times the number of candy pieces in the jar increased by 100 is a lower number than keisha’s guess of 250 less than twice the number of candy pieces. anna writes the inequality 3x + 100 < 250 – 2x, which is incorrect. 7. can you find anna’s mistake? what is the correct way to write this inequality?

Representing the given information mathematically, we have:

Let the number  of candy pieces in the jar be

Since, it is given that:

John's guess of three times the number of candy pieces in the jar increased by is lower number than Keisha's guess of 250 less than twice the number of candy pieces.

Going to the John's guess, we get:

For the Keisha's guess, we have:

Therefore, according to the question, we get the inequality:

Anna did the mistake in comprehending the right side of the inequality correctly. Instead of comprehending she wrote: (which is incorrect).

Thus, the correct inequality is:

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