<u>Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.</u>
Answer:
<em>1300 children attended the basketball game</em>
Step-by-step explanation:
System of Equations
Let's call:
x = number of children attending the basketball game
y = number of adults attending the basketball game
On a certain night, 1500 people enter the game, thus:
x + y = 1500 [1]
Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:
3.50x + 7.50y = 6050 [2]
From [1]:
y = 1500 - x
Substituting in [2]:
3.50x + 7.50(1500 - x) = 6050
Operating:
3.50x + 11250 - 7.50 = 6050
-4x = 6050 - 11250
Solving:
x = 1300
1300 children attended the basketball game
Answer:

Step-by-step explanation:
<em>See comment for complete question.</em>
The given information is represented in the attached figure.
First convert 22°8'6'' and 30° 40’ 30” to degrees




Considering Jason's position:

Where x = distance between the tree and Alison
Make H the subject

Considering Alison's position

Make H the subject




Open bracket


Collect Like Terms



Make x the subject


Substitute 104.76 for x in 



The above represents the height of the tree.
The height of the owl is:



B=1/2
9/16=1/2b(3/4)
Divide both sides by 3/4
1/4=1\2b
Multiply both sides by 2
Answer:
42
Step-by-step explanation:
The height of the pole is 4 times shorter than the length of the shadow 20÷5=4
The height of the building must be 4 times shorter than its shadow length 168÷4=42