Answer:
6 dollars per children ticket.
Step-by-step explanation:
Sorry if my explanation doesn't make much sense or you don't understand it.
700x + 300y = 7200
if, y = 10
700x + 300(10) = 7200
700x + 3000 = 7200
- 3000 = -3000
700x = 4200
700x/700 = 4200/700
x = 6
3 6/7 would be your answer in simplest form
Answer:
k = 3
Step-by-step explanation:
If p-1 is a factor of p⁴+p²+p-k, then we can express the polynomial in form
p⁴+p²+p-k = (p-1) * (ap³ + bp² + cp + d)
where a,b,c,d are constants. The important thing is that we can subst in p = 1 to make the polynomial zero. We can do this for original polynomial. WE must have to equal to 0 when we use p = 1 substitution...
1⁴+1²+1-k = 0
3 - k = 0
k = 3
Solve the equations
first one
take the sqrt of both sides
x-y=√71
add y to both sides
x=y+√71
sub y+√71 for x in other part
(y+√71)²+y²=59
y²+2y√71+71+y²=59
2y²+2y√71+71=59
minus 59 both sides
2y²+2y√71+12=0
factor out 2
2(y²+y√71+6)=0
use quadratic equation or something
y=

and
sub those for x
x=y+√71
note: √71=(2√71)/2
x=

,
or
x=

,
xy=

times

or

times

the result is -6 both times
xy=-6