Answer:
median=mode
Step-by-step explanation:
I just did it.
The volume of a cube with side length equal to x, is
,
thus, the volume of a cube shaped box, whose side length is (5a+4b) is :
,
The volume is already expressed in terms of a and b, but we can expand the expression
, as follows:
![(5a+4b)^{3} =(5a+4b)(5a+4b)^{2}= (5a+4b)[ (5a)^{2}+2(5a)(4b)+ (4b)^{2}]](https://tex.z-dn.net/?f=%285a%2B4b%29%5E%7B3%7D%20%3D%285a%2B4b%29%285a%2B4b%29%5E%7B2%7D%3D%20%285a%2B4b%29%5B%20%285a%29%5E%7B2%7D%2B2%285a%29%284b%29%2B%20%284b%29%5E%7B2%7D%5D)
![=(5a+4b)[ 25a^{2}+40ab+ 16b^{2}]](https://tex.z-dn.net/?f=%3D%285a%2B4b%29%5B%2025a%5E%7B2%7D%2B40ab%2B%2016b%5E%7B2%7D%5D)
![=(5a)[ 25a^{2}+40ab+ 16b^{2}]+(4b)[ 25a^{2}+40ab+ 16b^{2}]](https://tex.z-dn.net/?f=%3D%285a%29%5B%2025a%5E%7B2%7D%2B40ab%2B%2016b%5E%7B2%7D%5D%2B%284b%29%5B%2025a%5E%7B2%7D%2B40ab%2B%2016b%5E%7B2%7D%5D)
Answer:
,
or
Answer:the number of BlackBerry that Arlene had initially was 276
Step-by-step explanation:
Let x represent the number of BlackBerry that Arlene had initially.
She gave 216 to her teachers. This means that she is left with x - 216
Then she dropped 12. This means that she would be left with x - 216 - 12 = x - 228
Later, she ate 18. This means that she would be left with x - 228 - 18 = x - 246
Finally, she gave half of what she had to her friend. This means that the amount that she gave to her friend is (x - 246)/2 and the amount that she has left would be
(x - 246)/2
Now, she has 15. This means that
(x - 246)/2 = 15
x - 246 = 2 × 15 = 30
x = 30 + 246 = 276
Answer and Explanation:
If the rectangle is dilated by a scale factor of 2, that means that all of its sides are doubled.
(a) Originally, AB = CD = 15
So, we just multiply 15 by 2: 15 * 2 = 30. Now, A'B' = C'D' = 30 cm
Originally, AC = BD = 8
We just multiply 8 by 2: 8 * 2 = 16. Now, A'C' = B'D' = 16 cm
(b) Basically, the drawing will be of a new rectangle with dimensions of 30 cm by 16 cm.
