You and your sister decide to combine your weekly overtime earnings to buy a birthday gift for your mother. your overtime rate is $12 per hour and your sister’s is $15 per hour. the total amount earned for the gift was $90. if you worked 3 more hours of overtime than your sister, how many overtime hours did each of you work?

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.

ratio is 2 : 9

the answer is three

13.5 : 3

step-by-step explanation:

graph using a few selected

x         y

-1       15

0         6

1         2.4

2       0.96

arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c   is the central angle of the arc in degrees

r   is the radius of the arc

π   is pi, approximately 3.142

using the above formula we get

s =

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet