Answer:
Each student ticket costs $8.33
Each adult ticket costs $15.34
Step-by-step explanation:
At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?
s = cost of each student ticket
a = cost of adult ticket
Our system of equations:
4s + 2a = 64
3s + 3a = 71
-3(4s + 2a = 64) ==> -12s - 6a = -192
2(3s + 3a = 71) ==> 6s + 6a = 142
-12s - 6a = -192
6s + 6a = 142
-6s = -50
/-6 /-6
s = $8.33 (the cost of each student ticket)
Now, let's find the cost of each adult ticket:
4s + 2a = 64
4(8.33) + 2a = 64
33.32 + 2a = 64
-33.32 -33.32
2a = 30.68
/2 /2
a = 15.34 (the cost of each adult ticket)
(x, y) ==> (8.33, 15.34)
Check your answer:
4s + 2a = 64
4(8.33) + 2(15.34) = 64
33.32 + 30.68 = 64
64 = 64
This statement is true
Hope this helps!
Answer:
Pythagorean Theorem Statement is below.
Therefore the value of x is 9 m.
Step-by-step explanation:
Given:
Label the vertices as A , B , C shown in figure below such that
∠A = 90°
AC = Longer leg = 12 m
AB = Shorter leg = x
BC = Hypotenuse = 15 m
To Find:
x = ?
Solution:
Pythagorean Theorem :
Pythagorean Theorem States that "the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides".
Which can be Written as

OR

i.e 
Substituting the values AB ,AC, BC we get

Therefore the value of x is 9 m.
Answer:
5
Step-by-step explanation:
Step 1. Get two points off the graph
Points: (-70, 0) and (-60, 50)
Step 2. Use the two points to find the slope
m = slope
m = change in y/change in x
m = y2 - y1/x2 - x1
m = 50 - 0/-60 - -70
m = 50/10
m = 5/1
m = 5
The slope is 5
Answer:
The correct choice is:
-2 to the 4th power is positive 16.
Option C is correct.
Step-by-step explanation:
We need to find mistake make in work below:

The mistake here is when we have even power, the negative sign gets positive i.e
if m is even
so, in our case it would be:

The correct choice is:
-2 to the 4th power is positive 16.
Option C is correct.
<span><span><span><span><span><span><span> I believe the answer is </span></span>x</span></span>=<span>−<span><span>1<span> or x = 0 or </span></span>x</span></span></span>=<span><span>1<span> or </span></span>x</span></span>=<span>−<span><span>3<span> </span></span></span></span></span>