At the beginning of the school year, Liya's goal was to earn an A on at least 85% of her 60 quizzes for the year. She earned an A on 35 of the first 40
quizzes. If she is to achieve her goal, on at most how many of the remaining
quizzes can she earn a grade lower than an A?

A: 1
B: 2
C: 3
D: 4
E: 5

D; 4

Step-by-step explanation:

Step 1:

Let us figure out exactly how many As Liya has to earn for the year. We must find 85% of 60:

Liya must earn 51 As this year to reach her goal. This also means that she can earn 9 grades lower than an A to still reach her goal ().

Step 2:

So far, Liya has earned 35 As out of 40 tests in total. This means that so far, Liya has earned 5 test grade lower than an A:

In total, Liya can only have 9 grades lower than an A. Therefore:

Liya can only earn grades lower than an A in the remaining quizzes.

I hope this helps! Let me know if you have any questions :)

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: