School A and B are competing in an academic contest. at the beginning of the final round, school A has 174 points and school B h
2 answers:
Answer:
School A gave 12 correct and 12 incorrect answers. School B gave 12 correct answers and the competition was tied.
Step-by-step explanation:
We are given the following information:
School A points = 174
School B points = 102
Every correct answer is awarded 10 points and every incorrect answer reduces 6 points.
Let x be the number of correct answer given by school A and thus x is the number of incorrect answer given by school A. The, school B also gives x number of correct answer.
Thus, the scored can be modeled with the following equations:
School A:
School B:
Since, both the schools tied, equating both the equations:
Thus, school A gave 12 correct and 12 incorrect answers. School B gave 12 correct answers and the competition was tied.
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Answer:
2.48×10^13 miles
Step-by-step explanation:
There are about (365.25 days)(86400 seconds/day) = 31,557,600 seconds in one year. There are 1609.344 meters in one mile. So, the conversion can be written as ...
(4.22 ly) (3×10^8 m/s) (3.15576×10^7 s/yr) / (1.609344×10^3 m/mi)
= 4.22×3×3.15576/1.609344×10^(8+7-3) mi
≈ 24.8×10^12 mi
4.22 light years is about 2.48×10^13 miles
