Answer:
- C. V = 15 x 4.2
- D. V = 7.5 x 2 x 4.2
Step-by-step explanation:
The volume is the product of the three dimensions, so can be figured as ...
7.5 × 2 × 4.2 . . . . choice D
Carrying out the first multiplication, this will be equivalent to ...
15 × 4.2 . . . . . . . . choice C
Answer:
The prime divisors of 10 are 2 and 5, and the first six primes are 2, 3, 5, 7, 11, and 13
Step-by-step explanation:
Draw a two-dimensional representation of each prism. Then find the area of the entire surface of each prism
Answer:
x: ![\frac{26}{3y}](https://tex.z-dn.net/?f=%5Cfrac%7B26%7D%7B3y%7D)
y: ![\frac{26}{3x}](https://tex.z-dn.net/?f=%5Cfrac%7B26%7D%7B3x%7D)
Part A: Finding X
<u>Simplify the equation.</u>
![-4*3*(2xy)=-26*8\\-12*(2xy)=-26*8\\-24*(xy)=-26*8\\-24*xy=-26*8\\-24*xy=-208](https://tex.z-dn.net/?f=-4%2A3%2A%282xy%29%3D-26%2A8%5C%5C-12%2A%282xy%29%3D-26%2A8%5C%5C-24%2A%28xy%29%3D-26%2A8%5C%5C-24%2Axy%3D-26%2A8%5C%5C-24%2Axy%3D-208)
<u>Divide terms.</u>
![\frac{(-24 * (xy))}{-24y}\\\\Cancel~"-24"\\\\\frac{(-24) * xy}{(-24)y} \\= \boxed{\frac{-208}{-24y}}\\\\\\Cancel~"y"\\\\\frac{x(y)}{(y)} = \boxed{\frac{-208}{-24y} }\\x \div 1 = \frac{-208}{-24y}](https://tex.z-dn.net/?f=%5Cfrac%7B%28-24%20%2A%20%28xy%29%29%7D%7B-24y%7D%5C%5C%5C%5CCancel~%22-24%22%5C%5C%5C%5C%5Cfrac%7B%28-24%29%20%2A%20xy%7D%7B%28-24%29y%7D%20%5C%5C%3D%20%5Cboxed%7B%5Cfrac%7B-208%7D%7B-24y%7D%7D%5C%5C%5C%5C%5C%5CCancel~%22y%22%5C%5C%5C%5C%5Cfrac%7Bx%28y%29%7D%7B%28y%29%7D%20%3D%20%5Cboxed%7B%5Cfrac%7B-208%7D%7B-24y%7D%20%7D%5C%5Cx%20%5Cdiv%201%20%3D%20%5Cfrac%7B-208%7D%7B-24y%7D)
<u>Factor -8.</u>
![x = \frac{-8(26)}{-24y}(Cancel~"-8")\\x = \frac{26}{3y}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-8%2826%29%7D%7B-24y%7D%28Cancel~%22-8%22%29%5C%5Cx%20%3D%20%5Cfrac%7B26%7D%7B3y%7D)
Part B: Finding Y
<u>Simplify.</u>
![-4*3*(2xy)=-26*8\\-12*(2xy)=-26*8\\-24*(xy)=-26*8\\-24*xy=-26*8\\-24*xy=-208](https://tex.z-dn.net/?f=-4%2A3%2A%282xy%29%3D-26%2A8%5C%5C-12%2A%282xy%29%3D-26%2A8%5C%5C-24%2A%28xy%29%3D-26%2A8%5C%5C-24%2Axy%3D-26%2A8%5C%5C-24%2Axy%3D-208)
<u>Divide.</u>
![\frac{(-24*(xy))}{-24x} = \frac{-208}{-24x}\\\\Cancel~"-24"\\= \frac{xy}{x} = \frac{-208}{-24x}\\\\Cancel~"x"\\= \frac{-208}{-24x}](https://tex.z-dn.net/?f=%5Cfrac%7B%28-24%2A%28xy%29%29%7D%7B-24x%7D%20%3D%20%5Cfrac%7B-208%7D%7B-24x%7D%5C%5C%5C%5CCancel~%22-24%22%5C%5C%3D%20%5Cfrac%7Bxy%7D%7Bx%7D%20%3D%20%5Cfrac%7B-208%7D%7B-24x%7D%5C%5C%5C%5CCancel~%22x%22%5C%5C%3D%20%5Cfrac%7B-208%7D%7B-24x%7D)
<u>Factor.</u>
![y = \frac{-8(26)}{-24x}\\y = \frac{-8(26)}{-8(3x)} (Cancel -8)\\y = \frac{26}{3x}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B-8%2826%29%7D%7B-24x%7D%5C%5Cy%20%3D%20%5Cfrac%7B-8%2826%29%7D%7B-8%283x%29%7D%20%28Cancel%20-8%29%5C%5Cy%20%3D%20%5Cfrac%7B26%7D%7B3x%7D)