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
Answer:
97, 98
Step-by-step explanation:
a = first number
a + 1 = consecutive number
then:
a + a+1 = 195
2a + 1 = 195
2a = 195 - 1
2a = 194
a = 194/2
a = 97
a + 1 = 98
Check:
97 + 98 = 195
Answer:
C. 
Step-by-step explanation:
To find the slope when you know two points, use this formula:
M = y₂ - y₁ ÷ x₂ - x₁
M = (4 - (-8)) ÷ (0 - (-7))
M = 12 ÷ 7
M =
Hope that helps.
Answer:
(a) 2% (b) 15
Step-by-step explanation:
(a):
80 - blue (32%)
60 - white (24%)
50 - red (20%)
45 - black (18%)
10 - silver (4%)
Total: 245
5 - other (2%)
(b):
60 - white
45 - black
Difference: 15
