<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:
<em>l</em> = 1 5/16
w = 1/16
A = 21/16 x 1/16 = 21/256
Step-by-step explanation:
Perimeter = 11/4
<em>l</em> = length
w = <em>l</em> - 5/4
2<em>l</em> + 2(<em>l</em> - 5/4) = 11/4
2<em>l</em> + 2<em>l</em> - -5/2 = 1/4
multiply each side by 4
8<em>l</em> + 8<em>l </em>- 10 = 11<em> </em>
16<em>l</em> = 21
<em>l</em> = 21/16 or 1 5/16
width = 21/16 - 20/16 = 1/16
<span>Multiply the number in the tens place of the bottom number by the number in hundreds place of the top number. Multiply 3 times 7 to equal 21. Add the 1 you carried to equal 22. You don't need to carry the 2 in 22, as there are no more numbers to multiply on this line, so you can just write it down next to the 6.</span>
The 3 inside angles of a triangle equal 180.
Add the 3 angles together to equal 180:
X + (5x-20) + 4x = 180
Simplify the left side by adding like terms:
10x-20 = 180
Add 20 to each side:
10x = 200
Divide both sides by 10:
x = 20
Angle A = x = 20
Angle B = 4X = 4(20) = 80
Angle C = 5x-20 = 5(20) -20 = 100-20 = 80
