?/1 If a test is worth 45 points, how many points would a student need to earn to get a score of 90%?
1 answer:
Answer:
40.5 points
Step-by-step explanation:
To start off, I would set up a proportion. You're trying to find how many points out of the total 45 would give you a 90%.
90% as a fraction would be .
When you set the two equal to one another, you get this:
The bottom numbers are the total amount of points, and the top is how many points a student got.
To solve for x, which is the number of points a student would need to earn, you can cross multiply.
After you do that, you should get:
100x = 4050
To isolate x, you can divide by 100 on both sides.
x = = 40.5 points
To check your answer, all you have to do is divide.
40.5 ÷ 45 = 0.9
0.9 as a percent is 90%.
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well, first off, we do a quick prime factoring of the leading term's coefficient, 35, and the constant, 16.
35 = 5*7
16 = 2*2*2*2
and the rest is just a mix and match.
what combination from the factors of 35 and the factors of 16, can provide a product whose sum is the middle term 26? well, without further adieu.
we can try 5*2*2 + 7*2*2, and that's 20 and 28, ok, 28 - 20 is 8, so that won't work.
another can be 5*2*7 and 2*2, that's 70 and 4, 70 - 4 is 56, that won't work either.
5*2*2*2 and 7*2, that's 40 and 14, hmmm 40 - 14 = 26!!! holly guacamole!
so then,