A watch company is developing packaging for its new watch. The designer uses octagons with a base area of 30 in2 and rectangles with a length of 10 in to create a prototype for the new package. What is the volume of the prototype?

140 in^3
200 in^3
240 in^3
300 in^3

300 in²

Step-by-step explanation:

Volume of this designed prototype is given as;

V=Base area * height/length

The base area = 30 in²

The length = 10 in

The volume= 30 * 10 = 300 in²

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

answer: 20

step-by-step explanation: