Answer: Whoever read the 15 pages before read the most.
Step-by-step explanation:
Answer:
4 cm.
Step-by-step explanation:
Given:
A box has a volume of 308 cm cubed.
Its height is 4 cm greater than its length.
Its length is 3 cm greater than its width.
Question asked:
What is the width of the box?
<u>Solution</u>:
Let width = ![x\ cm](https://tex.z-dn.net/?f=x%5C%20cm)
Length = ![x+3\ cm](https://tex.z-dn.net/?f=x%2B3%5C%20cm)
Height = ![x+3+4=x+7\ cm](https://tex.z-dn.net/?f=x%2B3%2B4%3Dx%2B7%5C%20cm)
<u>As we know:</u>
<u />![Volume\ of\ box=length\times width\times height](https://tex.z-dn.net/?f=Volume%5C%20of%5C%20box%3Dlength%5Ctimes%20width%5Ctimes%20height)
![308=(x+3)\times x\times(x+7)\\ \\ 308=(x^{2} +3x)(x+7)\\ \\ 308=x^{2} (x+7)+ 3x(x+7)\\ \\ 308=x^{3} +7x^{2} +3x^{2} +21x\\ \\ 308=x^{3} +10x^{2} +21x\\ \\ Subtract\ 308\ from\ both\ sides\\ \\ x^{3} +10x^{2} +21x-308=0\\ \\ factor\ left\ side\ of\ equation\\ \\ (x-4)(x^{2} +14x+77)=0\\ \\ Set\ factors\ equal\ to\ 0.\\ \\ x-4=0 \ or\ x^{2} +14x+77=0\\ \\ \\](https://tex.z-dn.net/?f=308%3D%28x%2B3%29%5Ctimes%20x%5Ctimes%28x%2B7%29%5C%5C%20%5C%5C%20308%3D%28x%5E%7B2%7D%20%2B3x%29%28x%2B7%29%5C%5C%20%5C%5C%20308%3Dx%5E%7B2%7D%20%28x%2B7%29%2B%203x%28x%2B7%29%5C%5C%20%5C%5C%20308%3Dx%5E%7B3%7D%20%2B7x%5E%7B2%7D%20%2B3x%5E%7B2%7D%20%2B21x%5C%5C%20%5C%5C%20308%3Dx%5E%7B3%7D%20%2B10x%5E%7B2%7D%20%2B21x%5C%5C%20%5C%5C%20Subtract%5C%20308%5C%20from%5C%20both%5C%20sides%5C%5C%20%5C%5C%20x%5E%7B3%7D%20%2B10x%5E%7B2%7D%20%2B21x-308%3D0%5C%5C%20%5C%5C%20factor%5C%20left%5C%20side%5C%20of%5C%20equation%5C%5C%20%5C%5C%20%28x-4%29%28x%5E%7B2%7D%20%2B14x%2B77%29%3D0%5C%5C%20%5C%5C%20%20Set%5C%20factors%5C%20equal%5C%20to%5C%200.%5C%5C%20%5C%5C%20x-4%3D0%20%5C%20or%5C%20%20x%5E%7B2%7D%20%2B14x%2B77%3D0%5C%5C%20%5C%5C%20%5C%5C)
As width can never be in negative, ![x= 4\ cm](https://tex.z-dn.net/?f=x%3D%204%5C%20cm)
By substituting the value:-
Width =
= 4 cm
Thus, width of the box is 4 cm.
Answer:
$84.87
Step-by-step explanation:
The mover costs $69
23% of 69 is $15.87
add the two together to get $84.87
(or just multiply 69 by 1.23)
Answer: Those accused of crimes should be considered innocent until
proven guilty.
Step-by-step explanation:
A