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elena-14-01-66 [18.8K]
3 years ago
9

John participated in a science contest. He received 3 points for each correct answer but lost 2 points for each incorrect answer

. After answering 50 questions, John's score was 95 points. How many questions did John answer incorrectly?
Mathematics
1 answer:
harkovskaia [24]3 years ago
8 0
(3*50)-95=55/2=27.5 questions are incorrect..
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tester [92]
I think it’s irrational, because the 5 is repeating
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3 years ago
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You make one pitcher of iced tea and one pitcher of lemonade for a party. Just before the party starts, you catch a little misch
mario62 [17]

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.

_____

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

6 0
3 years ago
In country X, the average yearly salary of 50-year-olds with 16 years of education is $50,275, while the average yearly salary o
nika2105 [10]

Answer:

38%

Step-by-step explanation:

The additional wage compared 12 years of education to 16 years of education is:

Extra\ wage\%=\frac{50,275-36,265}{36,265} *100 = 38.6%

3 0
3 years ago
William bought some tickets to see his favorite singer. He bought some adult tickets and some children’s tickets, for a total of
Fantom [35]
Set x as adult tickets.
Set y as children's tickets.
x + y = 15
30x + 20y = 270
Solve for x in the first equation.
x + y = 15
x = 15 - y
Plug this into the second equation.
30x + 20y = 270
30(15 - y) + 20y = 270
450 - 30y + 20y = 270
450 - 10y = 270
-10y = -180
y = 18
If there is 18 childrens tickets, there should be -3 adult tickets.
This is impossible, and this impossible answer occured because the question is written wrong.
There are a total of 15 tickets
The smallest costing ticket is the childrens ticket, which costs 20$.
If he only bought children tickets, this would be 20x15 which is 300$.
300$ is over 270$, which makes the question impossible.
8 0
3 years ago
The length of a desk is 3.5 feet. How many centimeters is the length? (There are 2.54 cm in an inch)
gregori [183]

Answer:106.

Step-by-step explanation:

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