<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
Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.The expressions which are equivalent to the given expression are,
Given information-
The expression given in the problem is,

<h3>Equivalent expression-</h3>
Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.
For given expression,

As the above function is the function of <em>x. </em>Thus it can be written as,

<h3>Logarithm power rule</h3>
Logarithm power rule states that the exponent of the logarithm function can transfers to front of the logarithm and vice versa. Thus,

Now the value of
is equal to the zero. Thus,

Hence the expressions which are equivalent to the given expression are,
Learn more about the equivalent expression here;
brainly.com/question/10628562
Answer:
(x+3)( 3x^2 +5)
Step-by-step explanation:
3x^3+9x^2+5x+15
Split into two groups
3x^3+9x^2 +5x+15
Factor 3x^2 out of the first group and 5 out of the second group
3x^2 ( x+3) + 5(x+3)
Factor out x+3
(x+3)( 3x^2 +5)
Well if the window is 40 x 10 the L is 52 and the w 22
The value of the given equation is –0.37458.
Solution:
Given equation is:

Let us first find the values.
The value of tan 1.1 = 1.96475
The value of tan 4.6 = 8.86017
Substitute these values in the given equation.




= –0.37458

Hence the value of the given equation is –0.37458.