after five tests, Mike's average score is 91. After 6 tests, his average score was 89. what was his score, on the sixth test?
Answers
x 1 + x 2 + x 3 + x 4 + x 5 = 89 * 5 = 445
( x 1 + x 2 + x 3 + x 4 + x 5 + x 6 ) / 6 = 90
( 445 + x 6 ) / 6 = 90 Multiply both sides by 6
445 + x 6 = 6 * 90 = 540
x 6 = 540 - 445 = 95
Final answer:
Mike's score on the sixth test can be found by subtracting the total score after five tests from the total score after six tests (534 - 455), which yields a score of 79.
Explanation:
In order to solve this problem, we need to understand how averages work. The total score after five tests is 91*5, which amounts to 455. After the sixth test, the total average dropped to 89. To find the total score after six tests, you multiply 89*6, which gives us 534. The score for the sixth test can be found by subtracting the total score after five tests from the total score after six tests. So, 534 - 455 = 79. Therefore, Mike scored 79 on his sixth test.
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Answers
3/2cm x 1/2cm x 4cm
3cm^3 is your answer.
Answers
Total number of students in the school = 209
Ration of the boys to girls in the school = 6:5
Let us assume the common ratio to be = x
Then
6x + 5x = 209
11x = 209
x = 209/11
= 19
Then
The number of girls in the school = 19 * 5
= 95
So there are a total of 95 girls in the school that has a total of 209 students.
Answers
Let's call the our odd numbers ,
, and
, in ascending order. It can be said then that
(It is the next odd number after
) and
(It is the second consecutive number after
).
Additionally, we can say:
Now, how about we substiute in the value for we found in the first paragraph for
in the preceeding equation? This gives us:
- Substitute
- Add like terms
- Subtract 4 from both sides
- Divide both sides by 3
We have found that the smallest number is 7. Substituting this into the equations we found in the first paragraph, we find:
The numbers are 7, 9, and 11.
Answer:
The three correct numbers are 7, 9, and 11.
Step-by-step explanation:
Answers
by 40 students each year for the next
5 years. If their current enrollment is
600 students, find their enrollment
after each of the next 5 years.
Answers
Answer: I believe the answer is 800 students
Step-by-step explanation:
Answers
The reciprocal of 3/8 would be 8/3 (basically reversing the numbers).
When dividing fractions, you can just multiply the first fraction by the reciprocal of the second fraction instead of dividing by the second fraction.
3/4 ÷ 3/8
= 3/4 × 8/3
Simplifying gives us the final answer:
= 2
Let me know if you need any clarifications, thanks!