Its a cube with dimensions 4 by "x+1" by "x+11"
So if you multiply all 3 of these you will get the total volume of 924.
So our equation is:
4(x+1)(x+11) = 924
(x+1)(x+11) = 231
x²+12x+11 = 231
x²+12x-220 = 0
Now factor to:
(x+22)(x-10) = 0
Thus x = -22 or 10.
Only 10 makes sense here since we can't have a negative length. So x = 10.
Now plug in x back into our original expressions to get the dimensions.
The original dimesions are: 4cm x 11cm x 21cm
Ta-dah!
28A + 17C = 6010
A = 160
28(160) + 17C = 6010
4480 + 17C = 6010
17C = 6010 - 4480
17C = 1530
C = 1530/17
C = 90...so there were 90 children that attended
Answer:
$10, $20, $30
Step-by-step explanation:
So, the equation you have set up already, y = 2x + 10, models the cost of the membership and movies, with y as the total cost, and x as the number of movies. Here we can just plug in the x values to get the total costs. If x is 0, we get $10 total, if it is 5, we get $20 total, and if it is 10, we get $30 total.
Answer:
Step-by-step explanation:
This can be simplified into
which is saying that you are taking the cubed root of each of those bases. The cubed root of 8 comes out evenly, to 2 (since 2*2*2 = 8). The cubed root of 320 is not so simple. To find it, find the complete factorization of 320. 320 factors to: 5 * 2*2*2*2*2*2 or
Split that 2^6 up into increments of 3's to make the simplifying a bit easier:
Because the index (the little number sitting in the bend of the radial sign) matches the power on both the 2's we can pull both the 2's out front, leaving:
but don't forget that we already found that the cubed root of 8 was 2, so multiply that 2 by the 4 to get: