Radical 30 can be separated into radical 5 x radical 6.
Divide both sides by radical 6, making 4/radical5.
Multiply by radical5 for a rational equation
4
/5
If there are 50 quizzes and the student has taken 20 so far, that means there are 30 remaining quizzes. Now we need to find the overall percentage if the student scores 60% on 20 quizzes and 80% on 30 quizzes.
To do this, we need to figure out what percentage of 50 is 20.
or 40%
If 20 quizzes make up 40% of the total, then the remaining 30 quizzes make up 60%. Now we need to multiply the scores earned by the max possible points out of 100.
0.6(40) + 0.8(60) = 72
The answer is 72%.
Answer:
3 + x
Step-by-step explanation:
Sum means to add, so you would just add 3 and x (since they haven't given an actual number and only a variable).
Answer:
Below.
Step-by-step explanation:
The center is at (8, 4) and the radius = √11.
√11 = 3.317 to the nearest thousandth.
I'm assuming that this is applying to the linear dimensions. Let's say the paper is 10 inches by 10 inches
The new paper will be 13 inches by 13 inches since
30% of 10 = 0.3*10 = 3, and we add on 3 to 10 to get 13
Another way to see it: 130% of 10 = 1.3*10 = 13
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Now decrease the paper by 30%
30% of 13 = 0.3*13 = 3.9
13 - 3.9 = 9.1
This is the same as saying 70% of 13 = 0.7*13 = 9.1
The paper is now 9.1 inches by 9.1 inches
As you can see, the paper has not been restored to its original size (10 by 10). The reason why is because 30% of a larger number leads to a bigger decrease than expected.