Emily had a closing speed equal to the differences in speed 60 - x m/hr where x = Ashley speed
Ashley was x miles ahead
x/(60-x) = 4 hours
x = 240 - 4x
5x = 240
x = 48 m/hr = Ashley's speed
jet speed = x
passenger plane speed = 260 + x
Jet had 5 hr headstart distance = 5x + 3 more hours = 8x
then the passenger jet took off and flew 3 hours = 3 (260+x)
total distance = 2650 km
8x +3 ( 260+x) = 2650 solve for 'x'
Can you explain how you derived that answer?
The sum of the interior angles of a hexagon = (n-2) 180 = (6-2) * 180 = 720 degrees
119+129+140+129+95 + x = 720 solve for 'x'
The probability is 15/44.
The probability is 4138/16575.
The sum is 40500.
editing...
[PAB]/[PBR] = 0.285714285 = 2/7
24-2x >17
-2x > -7
2x < 7
x < 3.5 so 3+ 2+1 = 6 summed
Side lengths are x xr and xr^2
x * x^r * xr^2 = 216
x^3 r^3 = 216
xr = 6 and 6/r = x
and
2 (x*xr) + 2 (xr*xr^2) + 2 ( xr^2 * x) = 312
12x + 12xr^2 + 2 x^2 r^2
72/r + 72 r + 72 = 312
72 + 72 r^2 + 72r = 312 r
72r^2 - 240 r + 72 = 0
Quadratic Formula shows r = 3 then x = 2 xr = 6 xr^2 = 18 cm
Go back to the first grade...
The longest edge = 18 cm
2, 6, 18
d + 4 *9 = 0 + d *7
d + 36 = 7d
d = 6 so n = 42 10
sumfor(n, 5, 100, n!)==94269001 6837099792 6085983412 4473539872 0707226139 8267244293 8359305624 6782234795 0602340029 4093599136 4669866091 2434743264 7622826870 0382205564 4233652892 0420940280
The last 2 digits ==80
(a,b) = (14,42).
$\theta + \theta_2 = 3 \pi$, $\theta_3 + \theta_4 = \frac{16 \pi}{3}$.
Isolate y in 3x + 4y = -14 ==> y = 3x/4 - 14/4
Slope of Perpendicular = -4/3, point-slope form of equation y - 7 = -4/3(x + 5)
==> 3y - 21 = -4(x + 5) = -4x + 20
==> 3y = -4x + 41
==> y = -4/3*x + 41/3
m + b = -4/3 + 41/3 = 37/3
n ==1, 2, 3, 4 ==4 such integers.
15!+9! mod 3^1==0
15!+9! mod 3^2==0
15!+9! mod 3^3==0
15!+9! mod 3^4==0
1200 = 2^4 * 3 * 5^2 ==124556, 134455, 223455, 222556 [combinations] ==360 + 180 + 180 + 60==780 permutations or different sequences.
Here is a diagram to get you started:
