Answer:
In this equation x is equal to -5.
Step-by-step explanation:
In order to find this, we first have to note for the base (2) to be larger than the answer (1/32), the exponent would have to be negative. We also can note that 2^5 is equal to 32, which allows us to know that the negated version would give us 1/32.
2^-5 = 1/32
Answer:
42 and 44
Step-by-step explanation:
The even numbers are numbers which can be written as 2n where n is any integer number.
Therefore, two consecutive numbers would be "2n" and "2n + 2"
We then have that
2n + (2n+2) = 86
4n + 2 = 86
4n = 84
n = 21
And the even number 2n is 2(21) = 42.
(We can verify this answer by doing 42 + 44 = 86)
Answer:
See below.
Step-by-step explanation:
Addition: closed
Example: -5 + 10 = 5, and -5, 10, and 5 are all integers
Subtraction: closed
Example: 10 - 8 = 2, and 10, 8, and 2 are all integers
Multiplication: closed
Example: -4 * 7 = -28, and -4, -7 and -28 are all integers
Division: not closed
Example: 5/2 = 2.5, and 2.5 is not an integer, although 2 and 5 are integers
The set of integers is closed under addition, subtraction, and multiplication because any addition, subtraction, or multiplication of integers always results in an integer.
The set of integers is not closed under division because a division of integers does not always result in an integer.
Answer:
174 people preferred drinking water.
Step-by-step explanation:
Given that:
A total of 450 males and females were surveyed.
203 were males.
Number of females = 450 - 203 = 247 females
247 females were surveyed.
Now, we will find the number of females who prefer water.
Let,
x be that number.
Total number of females = Soda + Iced tea + Lemonade + Water
247 = 28 + 44 + 67 + x
247 = 139 + x
247-139 = x
x = 108
Number of people who prefer water = 108 + 66 = 174
Hence,
174 people preferred drinking water.
