We assume all money is spent on new lighting. Since they currently have $160 and need $400 we can subtract what they currently have from what they need.
$400-$160 = $240
Since we know the price of the ticket and now know they need $240 we can divide our $240 with the price of each ticket ($3)
$240/$3 = 80
So the drama club has to sell 80 more tickets in order to afford new lighting
The simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.
<h3>What is an integer exponent?</h3>
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= (2⁴)⁻¹
Using the properties of the integer exponent:
= 1/2⁴
The above number is one over two raised to the fourth power
Thus, the simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.
Learn more about the integer exponent here:
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The answer is for this question is 4/5
- Natural numbers will Always be whole numbers.
Natural numbers are positive integers (whole numbers), so, they are always whole numbers.
- Integers will Sometimes be natural numbers.
Not all integers are natural numbers. Negative integers are not natural numbers while positive integers are natural numbers.
- Irrational numbers will Always be real numbers.
Real numbers consist of both irrational and rational numbers. So, all irrational numbers are real numbers.
- Rational numbers will Never be irrational numbers.
Rational numbers and irrational numbers are two different types of real numbers.
- Rational numbers will Sometimes be integers.
Not all rational numbers are integers. there are some rational numbers that are not integers while some rational numbers are integers.
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We have been given that Tim spends about 1/3 of each weekday sleeping and about 7/24 of each weekday in school. And we need to find what fraction of the weekday does Tim spend either sleeping or in school.
This means that we need to find the time he spends in sleeping when he is in the school.
Therefore, we have to add the time he spends in sleeping and the time he spends in school.
Therefore, required fraction is given by

Now in order to add the fractions, we have to make the denominator same.
Multiply the numerator and denominator of first fraction by 8 to make the same denominator.

Now, we have the same denominator hence, we can add the numerator


Therefore, Tim spends 15/24 hours each weekday sleeping in the school.