Answer:
85 adult tickets
150 children tickets
Step-by-step explanation:
we can write a system of equations and then use the 'elimination method':
let a = adult tickets
let c = children tickets
a + c = 235
5a + 2c = 725
we can multiply the first equation by -5 to get:
-5a - 5c = -1175
now we can add the second equation to get:
5a + 2c = 725
-3c = -450
c = 150
a + 150 = 235
a = 85
P(1, 2), Q(3, 4)
we find the slope dividing the y over the x, that is:
m = (4 - 2)/(3 - 1) = 2/2
m = 1
and then use the line equation for a point and slope:
y - y1 = m(x - x1)
where (x1, y1) is a point through which the line passes, we use P(1,2):
y - 2 = 2(x - 1)
y - 2 = 2x - 2
y = 2x
therefore the slope is 2 and the y-axis intercept is 0
The answer is: The product
is a radical multiplied by an integer and the result is 
By definition, the set of integers has: negative numbers, positive numbers and zero.
Radicals are also known as roots and can be written with the symbol:
![\sqrt[n]{} ](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7B%7D%20%0A%20)
, where "n" is the index.
Normally, when a radical is multiplied by an integer, you must simplify it, but in this case you can calculate the result by using your calculator.
Answer:
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).
<em>2400 is increased by 30%.</em>
so,
2400 + (30/100 * 2400)
2400 + (30 * 24)
2400 + 720
3120
<em>this number is decreased by 20%.</em>
so,
3120 - (20/100 * 3120)
3120 - (2 * 312)
3120 - 624
2496
therefore, the final number will be 2496.