Answer:
Discount =40\%
Selling price of headphone =\$36
Solution --
we know that,
MP=SP * 100/(100-D\%)
putting values now we get,
MP = 36 * 100 / 60=60$
so, initial price of Headphone was =$60
30 students.....14 are boys...that means (30 - 14) = 16 are girls
if 2 boys are dropped......14 - 2 = 12 boys
and 2 girls are added......16 + 2 = 18 girls
fraction of the class that are boys is : 12/30 which reduces to 2/5 <==
Answer:
A 3.14159.......
Step-by-step explanation:
We need a non rational number
3.14159 is pi which is an irrational number
1/7, .27(repeating) and .83333(repeating) can be written in the form
a/b where a and b are integers, which makes them rational
Answer:
y=-2/3(x)
Step-by-step explanation:
3y=-2x-6
y=-2/3(x)-2
slope is y=-2/3(x)
The area of a shape is the amount of space the shape can occupy.
<em>The values of the height and the shorter base are: 8cm and 2cm respectively</em>
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The given dimensions are:
![\mathbf{Area = 40cm^2}](https://tex.z-dn.net/?f=%5Cmathbf%7BArea%20%3D%2040cm%5E2%7D)
![\mathbf{Base = 8cm}](https://tex.z-dn.net/?f=%5Cmathbf%7BBase%20%3D%208cm%7D)
The area of a trapezoid (see attachment) is:
![\mathbf{Area = \frac 12(Base_1 + Base_2) \times Height}](https://tex.z-dn.net/?f=%5Cmathbf%7BArea%20%3D%20%5Cfrac%2012%28Base_1%20%2B%20Base_2%29%20%5Ctimes%20Height%7D)
So, we have:
![\mathbf{40 = \frac 12(8 + Base_2) \times Height}](https://tex.z-dn.net/?f=%5Cmathbf%7B40%20%3D%20%5Cfrac%2012%288%20%2B%20Base_2%29%20%5Ctimes%20Height%7D)
Multiply through by 2
![\mathbf{80 = (8 + Base_2) \times Height}](https://tex.z-dn.net/?f=%5Cmathbf%7B80%20%3D%20%288%20%2B%20Base_2%29%20%5Ctimes%20Height%7D)
The whole number values of base and height that satisfy the above equation is:
![\mathbf{Base_2 = 2}](https://tex.z-dn.net/?f=%5Cmathbf%7BBase_2%20%3D%202%7D)
![\mathbf{Height = 8}](https://tex.z-dn.net/?f=%5Cmathbf%7BHeight%20%3D%208%7D)
i.e.
![\mathbf{80 = (8 + Base_2) \times Height}](https://tex.z-dn.net/?f=%5Cmathbf%7B80%20%3D%20%288%20%2B%20Base_2%29%20%5Ctimes%20Height%7D)
![\mathbf{80 = (8 + 2) \times 8}](https://tex.z-dn.net/?f=%5Cmathbf%7B80%20%3D%20%288%20%2B%202%29%20%5Ctimes%208%7D)
![\mathbf{80 = 10 \times 8}](https://tex.z-dn.net/?f=%5Cmathbf%7B80%20%3D%2010%20%5Ctimes%208%7D)
![\mathbf{80 = 80}](https://tex.z-dn.net/?f=%5Cmathbf%7B80%20%3D%2080%7D)
Hence, the values of the height and the shorter base are: <em>8cm and 2cm respectively</em>
Read more about areas at:
brainly.com/question/16418397