The correct answer is 85 points in each contest
Explanation:
To solve this problem, the first step is to find out how many points Maddie has and then how many points she still needs to get a total of 750 points. Additionally, to do this, the correct process is to multiply the average points by the number of contexts.
In the first five contests, she obtained 68 points average
5 x 68 = 340 points in the first five contests
In the three following contests, she obtained 80 points on average
3 x 80 = 240 points
Now, let's add the points and find how many points she is missing to reach 750 points
340 + 240 = 580
750 - 580 = 170
Finally, let's divide the points missing by 2 because there are still two contests and Madie needs to get the 170 points in these two.
170 ÷ 2 = 85 points
Maddie needs to get 85 points on average to complete her goal of 750 points
<span>Let the distance a string will stretch be l, and the weight attached to the string be w, then l = kw. 9 = 100k => k = 9/100. l = 9/100 w. Therefore, when a weight of 90 pounds is attached, l = 9 / 100 x 90 = 810 / 100 = 8.1 inches.Hope I helped! :) Cheers!I hope that I could help :) sometines those questions are tricky. Let me know if you need additional help</span>
Suppose the length of the triangle is x, if the perimeter of the rectangle is 100 ft, the width of the rectangle will be (50-x) ft.
Area of rectangle will be:
A=length*width
A=x(50-x)
A=50x-x^2
at maximum area, dA/dx=0
thus
dA/dx=50-2x=0
solving for x we get
2x=50
x=25
thus for maximum area length=25 ft
the size of the width will be
50-x=50-25=25 ft
thus the maximum area will be:
25*25=625 sq. feet