Answer:
177 Students
176 Adults
Step-by-step explanation:
Adult - (A) $5
Student - (S) $3.50
Equation 1: A+S = 353 tickets
Equation 2: 5A + 3.50S = $1500
Sub equation 1 into 2:
5A + 3.50(353 - A) = 1500
Multiply: 5A + 1235.50 -3.50A =1500
Subtract 1235.50 and -3.50A from both sides: 1.50A = 264.50 and then divide:
264.50/1.50 = 176 Adults
Sub into equation 1:
176 +S = 353
Solve: 353 - 176 = 177 Students
Check: 5(176) + 3.50(177) = $1500
1499.5 rounded = 1500 = 1500 ✔
I hope this helped!
Set up proportion 170/180=x/1 than cross multiply 170x=180 divide both sides by 170 answer 0.944 so 94% remains
Hello!
The domain of the function are the x-values that make the function true.
Since the graph has open circles and filled in circles, the open circles make the function false (written as <) , and the filled in circles make it true (written as ≤).
From the graph, the x value -3, and 2 are open circles. While the value -0.5 are filled in circles. Also, from the interval (-0.5, 2), there is gap, so it is part of the domain.
Therefore, the domain of the function is: {x | -3 < x ≤ -0.5} ∪ {x | 2 < x < ∞}, which is the third choice.
Recall the definition of absolute value.
When 
,
When ,
The derivative does not exist at 
, since the one-sided limits
and
do not match.
So the derivative of 
is
Now we can write this as
since
and
Answer:
4 cubes will be shown in the right view of the model and the 1st option is the top view for the model.
