Answer:
![2551\dfrac{1}{2}](https://tex.z-dn.net/?f=2551%5Cdfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
![\bf l = 20\dfrac{\sf 1}{4} \ in = \dfrac{81}{4} \ in](https://tex.z-dn.net/?f=%5Cbf%20l%20%3D%2020%5Cdfrac%7B%5Csf%201%7D%7B4%7D%20%5C%20in%20%3D%20%5Cdfrac%7B81%7D%7B4%7D%20%5C%20in)
![\bf w = 10\dfrac{1}{2} = \dfrac{21}{2} \ in\\\\\\h = 12 \ in](https://tex.z-dn.net/?f=%5Cbf%20w%20%3D%2010%5Cdfrac%7B1%7D%7B2%7D%20%3D%20%5Cdfrac%7B21%7D%7B2%7D%20%5C%20in%5C%5C%5C%5C%5C%5Ch%20%3D%2012%20%5C%20in)
Volume of rectangular prism = l*w*h
![= \dfrac{81}{4}*\dfrac{21}{2}*12\\\\\\= 81 *\dfrac{21}{2}*3\\\\\\= \dfrac{5103}{2}\\\\\\= 2551 \dfrac{1}{2} \ cubic \ inches](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B81%7D%7B4%7D%2A%5Cdfrac%7B21%7D%7B2%7D%2A12%5C%5C%5C%5C%5C%5C%3D%2081%20%2A%5Cdfrac%7B21%7D%7B2%7D%2A3%5C%5C%5C%5C%5C%5C%3D%20%5Cdfrac%7B5103%7D%7B2%7D%5C%5C%5C%5C%5C%5C%3D%202551%20%5Cdfrac%7B1%7D%7B2%7D%20%5C%20cubic%20%5C%20inches)
Answer:
17
Step-by-step explanation:
Let us suppose two years ago my brother's age was x years
Then, my age was 3x
Three years from now, my brother's age will be (x +2+3) = (x+5) years
And my age will be (3x+2+3) = (3x+5) years
But it is given that i will be twice as old as my brother.
So, 2(x+5)= (3x+5)
or, x= 5 years
So my brother's present age is 5+2= 7 years
And my age is 5*3+2= 17 years
Answer:
A) y² - 5y + 1
B) y² - 5y - 4
C) - 5y + 1
D) - 3y² - 4y - 6
Step-by-step explanation:
Let's call P the unkown polynomial and D the difference. In each case, the following must be true:
y² - 5y + 1 - P = D
<em>A)</em>
y² - 5y + 1 - P = 0
y² - 5y + 1 = P
<em>B)</em>
y² - 5y + 1 - P = 5
y² - 5y + 1 - 5 = P
y² - 5y - 4 = P
<em>C)</em>
y² - 5y + 1 - P = y²
y² - 5y + 1 - y² = P
- 5y + 1 = P
<em>D) </em>
y² - 5y + 1 - P = 4y² - y + 7
y² - 5y + 1 - 4y² + y - 7 = P
- 3y² - 4y - 6 = P
Answer:
2^3*3
Step-by-step explanation:
So the prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 23 · 3.