let the number of adult tickets be x and the number of children tickets be y
3x + y = 164...equ(1)
2x + 3y = 174....equ(2)
multiplying equation 1 by 3
9x + 3y = 492
subtracting equation 2 from 1
7x = 318
x = 45.43 dollars
substituting the value of x into the equation
3(45.428) + y = 164
y = 164 - 3(45.428)
∴y = 27.71 dollars
Think of integers that have a sum (addition) of 8 that don't include negative integers.
4+4=8
6+2=8
5+3=8
Pat is right there are three different pairs of integers that can have a sum of 8.
Answer:
(sin(t)+cos(t))^2=sin^2(t)+cos^2(t)+2sin(t)cos(t)=1+sin(2t)\\
Step-by-step explanation:
hopefully this helps!
Answer: He will divide to convert pounds to ounces.
Step-by-step explanation:
Given that the vertex (h, k) is (5, 2), you know the vertex form will look like
f(x) = a(x -5)² +2
for some value of "a" that makes f(4) = -3. That value of "a" can be found by substituting the given values in the above equation for f(x) and solving for "a".
-3 = a(4 -5)² +2
-3 -2 = a×1²
a = -5
This means the appropriate choice is ...
C) Vertex form: f(x) = -5(x -5)² +2; Standard form: -5x² +50x -123