Answer:
8,000
Step-by-step explanation:
volume = length X width X height
5x20x40= 4000
4000x2 = 8000
Let's assume
number of small notebooks =x
number of large notebooks =y
we are given
total number of notebooks =31
so, we get

now, we can solve for y

we have
Small notebooks cost $3.50 and large notebooks cost $5.00
she has $134 to spend
so, we get

now, we can plug y





now, we can find y


so,
number of small notebooks is 14
number of large notebooks is 17.............Answer
The answer is: 40%
Hope this helps!
Answer:
1 : 1
Step-by-step explanation:
When a circle is inscribed in a cylinder, the height of the cylinder is equal to the diameter of the sphere and the radius of the cylinder is same as that of the sphere.
Let the radius of sphere is r.
height of cylinder, h = 2r
radius of cylinder = r
Surface area of sphere, A = 4πr²
lateral surface area of cylinder, A' = 2 πrh
A' = 2πr x 2r = 4πr²
The ratio of surface area of sphere to the lateral surface area of cylinder is 1 : 1.
Given:
The system of equation is


To find:
Whether (3,4) is a solution of the given system or not.
Solution:
We have,
...(i)
...(ii)
Putting the value of y in (ii) from (i), we get




Divide both sides by -7.


Putting
in (i), we get




So, the only solution of the given system is
.
Hence, (3,4) cannot be a solution of given system, Hence the correct option is B.