Answers:
- False
- True
- True
- True
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Explanations:
- Any integer is rational. For instance, the integer 7 can be written as 7/1 which is a ratio or fraction of integers. Or we could say 14/2 or 21/3 if you wanted to get a bit creative. Since any integer is rational, this means it cannot be irrational. A real number is either rational or irrational. It cannot be both. The name "irrational" literally means "not rational". This is why statement 1 is false.
- The claim "no whole numbers are irrational numbers" is a true statement because any whole number is rational (for very similar reasoning as explained in statement 1 above), which means it's not possible for a whole number to be irrational.
- A rational number like 2/3 is not an integer. A quick way to check is to note that 2/3 = 0.67 approximately. Whole numbers and integers do not have any decimal portion to them. We have confirmed statement 3 is true.
- The set of integers is {..., -3, -2, -1, 0, 1, 2, 3, ...} while the whole numbers is the set {0, 1, 2, 3, ...}. The key difference is that integers involve negative values. Whole numbers do not have negative values. Something like -7 is an integer, but it is not part of the set of whole numbers. Statement 4 is true because of this.
The degree is 3
Hope this helps
Add them all up and divide by 5
$0.46 per ounce I think. Not 100%, a guess.
Disclamer: the following is confusing but I will transcribe what is going on in my head
3:4, 3+4=7
4:5, 4+5=9
hm
we can do fractions
3:4, 4 units is yellow
4/7 of all is yellow
4:5, 5/9 of all is yellow
all end is all-9
yellow intial=6+yellowfinal
yellowinitial=(4/7)all
(let's say all=x)
yi=(4/7)x
final=(5/9)(x-9)
yi=6+yf
(4/7)x=6+(5/9)(x-9)
times both sides by 63
36x=378+35(x-9)
distribute
36x=378+35x-315
36x=35x+63
minus 35x both sides
x=63
yellow=(4/7)(x)
yellow=(4/7)(63)
yellow=36
there wer 36 originally
