Vanessa has $8. she spends $6 to buy poster boards and the rest to buy some pens. each pen costs $0.30.which inequalities can represent this situation? let x = the number of pens that can be bought.

Given

Vanessa has a total of $8.

She spends $6 to buy poster boards

She spends the rest to buy some pens

Each pen costs $0.30.

If the number of pens that can be bought is represented by x

Then,

The total amount spent on pen is 0.3x

The total amount spent on postal boards is $6

Total money available is $8

Therefore, 0.3x + 6 ≤ 8

0.3x ≤ 8 – 6

0.3x ≤ 2

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