Answer: 12 students
Step-by-step explanation:
Let X and Y stand for the number of students in each respective class.
We know:
X/Y = 2/5, and
Y = X+24
We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:
(Y-x)/(X+x) = 1
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We can rearrange X/Y = 2/5 to:
X = 2Y/5
The use this value of X in the second equation:
Y = X+24
Y =2Y/5+24
5Y = 2Y + 120
3Y = 120
Y = 40
Since Y = X+24
40 = X + 24
X = 16
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Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:
(Y-x)=(X+x)
(40-x)=(16+x)
24 = 2x
x = 12
12 students must transfer to the more difficult, very early morning, class.
Answer:
If the complement of an angle is 25 degrees, then the measurement of the angle will be 65 degrees
Step-by-step explanation:
Answer:
Step-by-step explanation:
If you meant to type x+1<21, then we simplify this inequality by subtracting 1 from both sides, ending up with x < 20.
I do not recognize what your "4" represents.
Answer:
the answer is complicated it is 5 actully
Step-by-step explanation:
the answer is 5
Answer:
a =12*sqrt(2)
Step-by-step explanation:
3. The Pythagorean theorem states
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 +21^2 = 27^2
a^2 +441 =729
Subtract 441 from each side
a^2 +441-441 = 729 -441
a^2 =288
Take the square root of each side
sqrt(a^2) = sqrt(288)
sqrt(xy) = sqrt(x)sqrt(y)
a = sqrt(144)sqrt(2)
a =12*sqrt(2)
