Answer:
Step-by-step explanation:
a = adult cost
c = child cost
a = c + $3
200a + 100c =$2100
^ each # of tickets sold
200(c+3) + 100c =$2100
200c + 600 + 100 c = 2100 combine like terms
300c + 600 = 2100 need variable only on one side of equal sign so you subtract 600 from each side of the = sign
300c = 1500 now divide by 300 on both sides to isolate variable
c = $5
40×8.50=340 17×9=153 153+340=493 regular time/Double time add together
Step-by-step explanation:
Given that the mean of the numbers is 12

so here
let's that one as x and another one as 2x since it is given that one is twice the other
Therefore we get

Given mean = 12




Hence it's 11 and 22
Answer:
x^3+6x^2-17x+2
Step-by-step explanation:
(x-2)*(x^2+8x-1)
=x(x^2+8x-1)-2(x^2+8x-1)
=x^3+8x^2-x-2x^2-16x+2
collect like terms
= x^3+6x^2-17x+2
See the picture attached to better understand the problem
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer isthe hypotenuse is (3√2)/2