Answer:
Each pitcher has the same fraction of the other drink.
Step-by-step explanation:
After 1 cup of tea is added to x cups of lemonade, the mix has the ratio 1:x of tea to lemonade. So, the fraction of mix that is tea is 1/(x+1).
The 1 cup of mix contains 1/(x+1) cups of tea and so x/(x+1) cups of lemonade. When that amount of lemonade is added to the tea, it brings the proportion of lemonade in the tea to (x/(x+1))/x = 1/(x+1), the same proportion as that of tea in the lemonade.
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You can consider the degenerate case of one cup of drink in each pitcher. Then when the 1 cup of tea is removed from its pitcher and added to the lemonade, you have a 50-50 mix of tea and lemonade. Removing 1 cup of that mix and putting it back in the tea pitcher makes there be a 50-50 mix in both pitchers.
Increasing the quantity in each pitcher does nothing to change the fact that the mixes end up in the same ratio:
tea:lemonade in Pitcher 1 = lemonade:tea in Pitcher 2
Whole numbers are the numbers 0, 1, 2, 3, 4 and so on and negative numbers are not considered whole numbers.
natural numbers are called the counting numbers that are the numbers 1, 2, 3, 4, and so on. they are positive numbers and zero is not considered a natural number as you can see.
integers are all the whole numbers and their opposite (negative) but negative numbers are NOT whole or natural numbers. fractions and decimals are not integers.
rational numbers are numbers that include all the integers, plus all fractions, or terminating decimals and repeating decimals.
irrational numbers are an infinite number of digits to the right of the decimal point, without repeating.
so your answer is integer and rational, hope this helped! :)
Answer:
1/4 +m = 2/3
Step-by-step explanation:
The number would be .5 I'm pretty sure
Answer:
42 * 10 + 42 * 5
which agrees with the third option (C) shown on the list of possible answers
Step-by-step explanation:
Notice that using distributive property we can write:
42 * 15 = 42 (10 + 5) = 42 * 10 + 42 * 5
which agrees with the third option (C) shown on the list of possible answers.
