Answer:
Solving the given linear system, we get x = 1 and y = -3.
The solution set is: (1,-3)
Step-by-step explanation:
We need to solve the linear system of equations.

We can write second equation y=x-4 as: 
Let:

Now, Adding equation 1 and 2

So, we get x = 1
Now, put value of x in second equation to find value of y:

So, we get y = -3
Solving the given linear system, we get x = 1 and y = -3.
The solution set is: (1,-3)
Answer:
351 adults and 275 students
Step-by-step explanation:
We can set-up a system of equations to find the number of adults. We know students and adults attended. We will let s be the number of students and a be the number of adults. Since 626 tickets were purchased, then s+a=626.
We also know that 74 fewer student tickets then adult tickets. So s+76=a, the number of student tickets plus 76 will be the number of adult tickets.
We will solve by substituting one equation into the other. We substitute a=76+s into s+a=626. Simplify and isolate the variable a.
s+a=626
s+76+s=626
2s+76=626
2s+76-76=626-76
2s=550
s=275
This means that 275 students attended and 351 adults attended since 275+351=626.
SOH-CAH-TOA
sin Q = <u>Opposite</u> = <u>26</u>
hypotenuse x
sin 54 = <u>26</u>
x
x sin 54 = 26
<u>x sin 54</u> = <u> 26 </u>
sin 54 sin 54
x = <u> 26 </u> = 32.1378 ≈ 32.1 feet
sin 54
Answer:
B
Step-by-step explanation:
i know this already from another