Answer:
24 tests
Step-by-step explanation:
Since 32 equals one hour and one hour is the total, we can see that 15 minutes equal 1/4, or 25%, 30 minutes equal 2/4, or 50%, and 45 minutes equal 3/4, or 75%. So, we can divide 32 by 4 to find out 1/4, or 25%, which equals 8. You can then multiply 8 by the number of fourths in 75% or 45 minutes, which is 3. 8 x 3 equals 24, so Mrs. Wilbur can grade 24 tests in 45 minutes.
Answer:
y = 68 degrees
Step-by-step explanation:
Here, we want to solve for an equilateral triangle with the internal angle measurement being y-8
If one of the angles is y-8, then the rest are y-8 too
mathematically, by adding all , we have a total of 180
Thus;
3(y-8) = 180
y-8 = 180/3
y-8 = 60
y = 60+8
y = 68 degrees
Answer:
2x + 8
Step-by-step explanation:
8 more means too add and twice means multiplication so therefore it would be 2x plus 8 as the answer hope this helps.
Answer:
(x, y) = (-6, 0)
Step-by-step explanation:
The y-coefficients have opposite signs, so we can eliminate y-terms by multiplying both equations by a positive number and adding the results.
9 times the first equation plus 4 times the second gives ...
9(5x +4y) +4(3x -9y) = 9(-30) +4(-18)
45x +36y +12x -36y = -270 -72 . . . . eliminate parentheses
57x = -342 . . . . . collect terms
x = -6 . . . . . . . divide by the coefficient of x
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Substituting into the first equation gives ...
5(-6) +4y = -30
4y = 0 . . . . . . . . . add 30
y = 0
The solution is (x, y) = (-6, 0).
Answer:
16/3
Step-by-step explanation:
