In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 23% of your total grade, each major test is worth 22.5%, and the final exam is worth 32%. Compute the weighted average for the following scores: 85 on the lab, 95 on the first major test, 91 on the second major test, and 76 on the final exam. (Enter your answer to one decimal place.)

The weighted average for the following score is  

Step-by-step explanation:

From the question we are told that

  The worth of the lab score is  23% of  total grade  i.e 0.23

   The worth of each major test is 22.5% of the total grade  0.225

   The  worth of the final  exam is  32% of the total  grade 0.32

   The  score on lab is 85  

    The score on first major test is 95

    The score on the second major test is 91

     The score on the final exam is  76

Generally the weighted average is mathematically represented as

=>  

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.

look a the sides they are perpendicular