9514 1404 393
Answer:
13 in by 51 in
Step-by-step explanation:
The area is the product of the dimensions, so is ...
663 = x(4x -1)
4x^2 -x -663 = 0 . . . . . . subtract 663 to put in standard form
Using the quadratic formula, we can find the solutions.
x = (-(-1) ±√((-1)^2 -4(4)(-663)))/(2(4))
x = (1 ± √10609)/8 = (1 ±103)/8
Only the positive solution is of any use in this problem, so ...
x = 104/8 = 13
4x-1 = 4(13)-1 = 51
The dimensions of the rectangle are 13 inches by 51 inches.
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I find it easiest to solve these using a graphing calculator.
Since the photo booth charges a $500 fee for two hours at the party and an additional 50 dollars per hour, we have:
50x+500=C
Where x is the hours stayed and C is the total cost. Since Cindy doesn't want to spend more than 700 dollars, we have:
So she spent an additional 4 hours on the rental.
Step-by-step explanation:
Taking the derivative of both sides with respect to x, we get
Solving for 
, we get
Philip rides to school in 6 2/5 minutes.....it takes Joey 4 1/2 times as long...
4 1/2 * 6 2/5 =
9/2 * 32/5 =
144/5 =
28 4/5 minutes <== Joey's time to get to school
During the birthday 4/7 of the cake was eaten so it remained 1-4/7=3/7
the next day 1/2 of 3/7 was eaten what remained is 3/7 divide by 1/2
to divide we invert the second fraction (1/2) and multiply 3/7
3/7 x 2/1=6/7
