Answer:
300 in³
Step-by-step explanation:
To calculate the volume of a composite solid, simply split it into smaller solids and calculate their separate volumes. The volumes of each of the individual solids are then added together to give the total volume of the composite solid.
Remember, the formula for volume is: l • w • h
12(length) x 5 (width) = 60 x 3(height) = 180 in
5(width) x 8(length) = 40 x 3(height) = 120 in
Now, finally we add up the answers.
180 + 120 = 300 in³
(*Don't forget to cube³ your answer since it's Volume)
We have the following expression:
4x + 1 = 6x - 2
We clear x of the expression.
We pass the variables to the right and the constant terms to the left:
1 + 2 = 6x-4x
We rewrite the expression:
3 = 2x
We passed the 2 to divide:
3/2 = x
Answer:
The value of x is:
x = 3/2
The answer is 22 because in order to divide fractions (in this case we would have 11 as a fraction), you need to multiply one fraction by the reciprocal of the other fraction (the flipped form of a fraction).
To find this, we would do
*
.
This would come to be
, and when simplified by dividing the numerator and denominator by 9, you get 22.
180/60 = the number of student for 1%
180/60 = 3
so 1% of the school's population is 3 students
so, 3 x 100 = 300 students
and to check:
300 x .60 = 180
so, the total population of the school is 300