Volume of top cube = 1^3 = 1cm^3
Volume of middle cube = 2^3 = 8cm^3
Volume of bottom cube = 3^3 = 27cm^3
Can you finish it ????
Let T be the number of minutes after 2PM
Terry rows for T minutes at 60m /min
Tao rows for T - 5 minutes at 40m/min
And Rate * Time = Distance
So
Distance that Terry rows + Distance that Tao rows = 2000 m
60T + 40 (T - 5) = 2000
60T + 40T - 200 = 2000
100T - 200 = 2000
100T = 2000 + 200
100T = 2200
T = 2200 / 100 = 22 minutes
They meet at 2:22 PM
(2a - 3) ( 4b - 6) =
(2a - 3) (2) (2b - 3) =
2 ( 2a - 3) (2b - 3) =
2 [ 4ab - 6a - 6b + 9 ]
2 [ 4ab - 6 ( a+ b) + 9 ]
The product of the roots = 5/2
The sum of the roots = - (-10) / 2 = 5
2 [ 4 (5/2) - 6 ( 5) + 9 ] =
2 [ 10 - 30 + 9 ] =
2 [ -11 ] =
-22
234696
8 cubes will have paint on 3 faces
4 * 4 * 3 = 48 will have paint on two faces
[ 8 + 48 ] / 6^3 =
56 / 216 =
7 / 27
79, 88, 97
169 , 178, 187, 196
259, 268, 277, 286, 295
349, 358, 367, 376, 385, 394
439, 448, 457, 466, 475, 484, 493
529, 538, 547, 556, 565, 574
31 words
3a + b + c = -3 (1)
a + 3b + c = 9 (2)
a + b + 3c = 1 (3)
Subtract (1) from (2) Subtract (1) from (3)
-2a + 2b = 12 -2a + 2c = 4
-a + b = 6 -a + c = 2
b = 6 + a (4) c = 2 + a (5)
Sub (4) and (5) into (2)
a + 3 (6 + a) + (2 + a) = 9
a + 18 + 3a + 2 + a = 9
5a + 20 = 9
5a = -11
a = (-11/5)
b= 6 + (-11/5) = 19/5
c = 2 + ( -11/5) = -1/5
abc = (-11/5) (19/5) (-1/5) = 209 / 125
First prism
Other leg length = sqrt (10^2 - 6^2) =sqrt (64) = 8
Volume of this prism = base area * height = (1/2) (6 * 8) * x = 24x
Second prism
Other leg length = sqrt (10^2 - 50) =sqrt (50)
Volume of this prism (1/2) (sqrt 50)^2 * ( x - 2 ) = 25 ( x - 2)
And we know that
.75 (24x) = 25 ( x - 2)
18x = 25x - 50 rearrange as
25x - 18x = 50
7x = 50
x = 50 / 7
No problem, nerdiest !!!
I agree with your answer.....good job !!!
[ 36563 - 25952 ] / 2.5 = 4244.4 mph !!!!!
{That's one fast vehicle !!!! }
