A school sells child and adult tickets to a play. The school sells a total of 65 tickets and collects a total of $382.50. The price of each child ticket is $4.50, and the price of each adult ticket is $6.50. Which system of
equations can be used to determine the number of child tickets, x, and the number of adult tickets, y, they
sold?

A. 6.50x + 4.50y = 65
x + y = 382.50

B. 4.50x + 6.50y = 65 x + y = 382.50

C. 6.50x + 4.50y = 382.50 x + y = 65

D. 4.50x + 6.50y = 382.50 x + y = 65

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )