Answer:
There were 26 students in his class and the teacher had 83 ml of the solution.
Step-by-step explanation:
Mr. Kohl has a "x" amount of solution, if he divides it by the number of students "n" he'll give each student 3 milliliters and have a left over of 5 milliliters. If the amount of solution Mr. Kohl had was "x + 21" then he'd be able to give each student 4 milliliters of the solution. From these informations we have:
x = 3*n + 5
(x + 21)/n = 4
x + 21 = 4*n
x = 4*n - 21
Now that we have two equations and two variables we can solve the system of equations, as seen bellow:
3*n + 5 = 4*n - 21
3*n - 4*n = -21 - 5
-n = -26
n = 26
x = 4*26 - 21 = 83 ml
There were 26 students in his class and the teacher had 83 ml of the solution.
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First we need to calculate the volume which is Base*depth or length*width*depth
first we have to change all the units so they are the same, 3 inches in this case will equal 1/4feet
multiply all the numbers together
35ft*12ft*1/4foot= 105 cubic feet
however the problem says the cost per cubic *yards*
so take the 105 cubic feet and divide by 3 (3 feet to a yard)
105/3 = 35 cubic yards
the cost of 35 cubic yards of concrete =
35*125= $4375
P=100
L=16+w
W=w
so we know that Perimeter is all the sides added so 2l+2w
so 100=(2(16+w))+(2(w))
100=32+2w+2w
100=32+4w
68=4w
w=17
so L=16+w therefore L=16+17 L=33
so L=33 and W=17