Answer:
108 student tickets, and 176 adult tickets were sold
Step-by-step explanation:
Adult ticket $8 Call the number of adult tickets sold "a"
Student ticket $5 Call the number of student tickets sold "s"
Since we are talking about TWO consecutive days of sold out seats, the total number of seats sold were 2* 142 = 284
Then we create two different equations with the information given:
a + s = 284
8 * a + 5 * s = 1948
we can solve for s in the first equation as follows: s = 284 - a
and use it in the second equation
8 a + 5 (284 - a) = 1948
8 a + 1420 - 5 a = 1948
combining
3 a = 528
a = 528/3
a = 176
we find the number of student tickets using this answer in the substitution equation we used:
s - 284 - 176 = 108
Therefore 108 student tickets, and 176 adult tickets were sold.
To find the GCF, you have to list all factors of each number and find the first common one.
12 = 1, 2, 3, 4, 6, 12
28 = 1, 2, 4, 7, 14, 28
36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
the GCF of numbers 12, 28, 36 is 4.
hope this helps, God bless!
Answer:
[1, 1]
Step-by-step explanation:
Translation → [-1, 3] moves down to [-1, 1]
Now, a <em>90°-clockwise rotation</em> is the exact same as a <em>270°-counterclockwise rotation</em>, and according to the <em>270°-counterclockwise rotation</em> [<em>90°-clockwise rotation</em>] <em>rule</em>, you take the y-coordinate, bring it over to your new x-coordinate, and take the OPPOSITE of the x-coordinate and set it as your new y-coordinate:
<u>Extended Rotation Rules</u>
- 270°-clockwise rotation [90°-counterclockwise rotation] >> (<em>x, y</em>) → (<em>-y, x</em>)
- 270°-counterclockwise rotation [90°-clockwise rotation] >> (<em>x, y</em>) → (<em>y, -x</em>)
- 180°-rotation >> (<em>x, y</em>) → (<em>-x, -y</em>)
Then, you perform your rotation:
270°-counterclockwise rotation [90°-clockwise rotation] → [-1, 1] moves to [1, 1]
I am joyous to assist you anytime.
25,200 hours
112x12=1,344
212x112=23,744
1,344+23,744+112=25,200
Answer:
roots
Step-by-step explanation:
A quadratic equation with real or complex coefficients has two solutions, called roots.
Roots are also called x-intercepts or zeros. ... The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.
