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
Complementary angles add up to 90 degrees.
So to find A you would need to add A and B together and equal it to 90 (3x+25+5x-7=90)
Combine like terms together (8x+18=90)
Subtract 18 from night sides (8x=72)
Divide by 8 on both sides (x=9)
Then to find A substitute x into its equation (3(9)+25)=(27+25)=52
A=52 I think
Answer:
3(343=72y)
Step-by-step explanation:
343x3=1029
1029+216y
both divisible by 3
3(343=72y)
Answer:
(12/5)m^3
Step-by-step explanation:
It's easier for most of us to write out a fraction / ratio without the " / " symbol:
48m^7
------------
20 m^4
Separate the coefficients from the powers of m:
48 m^7
----- * -------- Now let's reduce each fraction separately:
20 m^4
48/20 = 12/5, and
(m^7) / (m^4) = m^(7-4) = m^3
... so that our final answer is (12/5)m^3.
Answer:
It is probably 6 inches wide. I tried my best
Step-by-step explanation: