After the community clean-up, the ecology club collected all the empty drink containers. There were 40 more 5¢ deposit containers than 10¢ deposit containers. If the club received $24.80 from the recycling center, how many 5¢ deposit containers did they have?
112
125
152
165
192
Let x be the number of 10¢ deposit containers.
The number of 5¢ deposit containers is x+40.
The total deposit amount for the 10¢ deposit containers is 10x.
The total deposit amount for the 5¢ deposit containers is 5(x+40).
The total amount received from the recycling center is 10x+5(x+40)=$24.80.
Combining like terms, we get 15x+200=2480.
Subtracting 200 from both sides, we get 15x=2280.
Dividing both sides by 15, we get x=152.
The number of 5¢ deposit containers is x+40=152+40=<<152+40=192>>192. Answer: \boxed{192}.
Which is equivalent to 4x -2 y squared3/ 2x squared4 y negativesquared2
To simplify the expression 4x - 2y^2 / 2x^4y^-2, we can first simplify the numerator and denominator separately, and then combine them:
Numerator: 4x
Denominator: 2x^4y^-2
Simplifying the numerator, we have:
4x
Simplifying the denominator, we have:
2x^4y^-2
Since y^-2 is equivalent to 1/y^2, we can rewrite the denominator as:
2x^4 / y^2
Combining the numerator and denominator, we have:
(4x) / (2x^4 / y^2)
Dividing by a fraction is equivalent to multiplying by its reciprocal, so we can rewrite the expression as:
(4x) * (y^2 / 2x^4)
Finally, simplifying the expression further, we have:
2xy^2 / x^4
Thus, 4x - 2y^2 / 2x^4y^-2 is equivalent to 2xy^2 / x^4.