Attention:THIS IS PART B <em>ONLY!</em>
First,find the unit rate.
35/2 and <em>x</em>/1
35 divided by 2 = 17.5 so the unit rate for J.K. is 17.5 pages per hour.
now,R.L.
45/3 and <em>x</em>/1
45 divided by 3 = 15 so the unit rate for R.L. is 15 pages per hour
now we need to divide 355 by 17.5 and divide it by 15.Whichever quotient is smaller,finishes the book first
355 divided by 17.5 = about 20 hrs----J.K.
355 divided by 15 = about 24 hrs-----R.L.
So,who read faster?
Add 3 to both sides so that the equation becomes 2x^2 + 7x - 6 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -7 ± √(7^2 - 4(2)(-6)) ] / ( 2(2) )
x = [ -7 ± √(49 - (-48) ) ] / ( 4 )
x = [ -7 ± √(97) ] / ( 4)
x = [ -7 ± sqrt(97) ] / ( 4 )
x = -7/4 ± sqrt(97)/4
The answers are -7/4 + sqrt(97)/4 and -7/4 - sqrt(97)/4.
Answer:
<h2>20 meters by 60 meters.</h2><h2>80 boards.</h2>
Step-by-step explanation:
We know that the ice rink is 1200 square meters, which means to enclose the rink we need dimensions of 20 meters by 60 meters, to have 1200 square meters of area.
Now, the boards are on the perimeter of the ice rink with dimensiosn 20 meters times 60 meters. So, its perimeter is

If each board is 2.0 meter long, that means we can divide to find the total number of boards we can have on the ice rink:

Therefore, with those dimensions, we can have 80 boards surrounding the ice rink.
2(x-7)-10=12-4x
2x-14-10=12-4x
2x-24=12-4x
2x-12=-4x
-12=-2x
6=x