Answer:
Yes, there will be enough root beer for everyone to have at least one cup
Step-by-step explanation:
step 1
Find the volume of the cylinder root beer keg
The volume is equal to
we have
-----> the radius is half the diameter
substitute
step 2
Find the volume of the cylinder cups
The volume is equal to
we have
-----> the radius is half the diameter
substitute
step 3
Multiply the volume of one cup by 50 (the total number of students) and then compare the result with the volume of the cylinder root beer keg
so
therefore
There will be enough root beer for everyone to have at least one cup
Lets say that y represents length and x width.
From the text we can write:
y=x/6 - 1
Perimeter we calculate:
P = 2*x + 2*y
now we use y equation from above and put it in perimeter equation:
P = 2*x + 2*(x/6 - 1)
P = 2*(7x/6 - 1)
P = 7x/3 - 2
Answer: b I think
Step-by-step explanation:
The last option seems the best one: the figure is composed of a square/rectangle and a triangle. The area of the rectangle is the product of its dimension (i.e. 
), while the area of the triangle is half the product of the base and height (
).
The sum of the two areas is the area of the composite shape.
X²-8x=3
x²-8x+16=3+16=19
(x-4)²=19
x-4=±√19
x=4±√19
x=8.3589 approx or x=-0.3589 approx {4-√19,4+√19} or {-0.3589,8.3589}
