X= # of adults
y= # of children
1326= 6x + 4y
289= x + y
We are going to do substitution.
x = 289-y
1326= 6(289-y) + 4y
1326= 1734 -6y + 4y
1326= 1734 + -2y
-408= -2y
204 = y
Since we now have a value for y, we should plug that back into the equation we got the x value from to find the actual numerical value of x.
289= x + y
289= x + 204
85= x
In conclusion, 85 adults and 204 adults went to the swimming pool.
Answer:
9.2 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 57 = x/6
6 tan 57 = x
9.239189783 = x
9.2 =x
The shape of the water is that of a "spherical cap." The formula for the volume of a spherical cap is ...
... V = π·h²·(r -h/3) . . . . . . . from web search
For a radius of 5 in, this is
... V = π·h²·(5 -h/3) . . . . in³
_____
For h=0
... V = π·0²·(5 -0/3) = 0
For h=5 in
... V = π·(5 in)²·((5 -5/3) in) = (2/3)π·5³ in³ . . . . . the volume of a hemisphere of radius 5
So first you would need to FOIL the problem (first-outer-inner-last) so you would multiply x by x and get {x²} then you would multiply x by 1 so you would get just plain {x} then multiply 2 by x so to get {2x} then multiply the last terms 2 and 1 together to get {2} so then put it all together = x² + x + 2x + 2 then you add like terms together so you end up with = x² + 3x + 2 as the answer
Let
x------> amount of money Theo has
y------> amount of money Denise has
z------> amount of money Rudy has
we know that
x+y+z=$45-----> equation 1
x=5+y-----> equation 2
y=11+z----> equation 3
substitute equation 2 in equation 1
[5+y]+y+z=45-------> 2y+z=40-----> equation 4
y=11+z----> equation 3
2y+z=40-----> equation 4
resolves the equations system
using a graph tool
see the attached figure
the solution is
y=17
z=6
x=5+y----> x=5+17----> x=22
the answer is<span>
Denise has $17</span>