Answer:
13
Step-by-step explanation:
|-20| = 20 (anything with | | is absolute value, which is always positive), |7| = 7, 20 - 7 = 13.
quick tip: when you see something like -|#|, that would be negative, but if you saw |-#|, it would be positive.
hope it helps lol
Answer:
C) I and III only
Step-by-step explanation:
Let full pool is denoted by O
Days Hose x takes to fill pool O = a
Pool filled in one day x = O/a
Days Hose y takes to fill pool O = b
Pool filled in one day y = O/b
Days Hose z takes to fill pool O = c
Pool filled in one day z = O/c
It is given that
a>b>c
![a>b>c>d\\\implies x](https://tex.z-dn.net/?f=a%3Eb%3Ec%3Ed%5C%5C%5Cimplies%20x%3Cy%3Cz%3C%28x%2By%2Bz%29%5C%5C)
Days if if x+y+z fill the pool together = d
1 day if x+y+z fill the pool together ![=O(\frac{1}{a}+\frac{1}{b}+\frac{1}{c})=\frac{O}{d}---(1)](https://tex.z-dn.net/?f=%3DO%28%5Cfrac%7B1%7D%7Ba%7D%2B%5Cfrac%7B1%7D%7Bb%7D%2B%5Cfrac%7B1%7D%7Bc%7D%29%3D%5Cfrac%7BO%7D%7Bd%7D---%281%29)
I) d < c
d are days when hose x, y, z are used together where as c are days when only z is used so number of days when three hoses are used together must be less than c when only z hose is used. So d < c
III) ![\frac{c}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bc%7D%7B3%7D%3Cd%3C%5Cfrac%7Ba%7D%7B3%7D)
Using (1)
![\frac{bc+ac+ab}{abc}=\frac{1}{d}\\\\d=\frac{abc}{ab+bc+ca}\\\\As\quad(a>b>c)\\(ab+bc+ca)\frac{abc}{3ab}\\\\d>\frac{c}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bbc%2Bac%2Bab%7D%7Babc%7D%3D%5Cfrac%7B1%7D%7Bd%7D%5C%5C%5C%5Cd%3D%5Cfrac%7Babc%7D%7Bab%2Bbc%2Bca%7D%5C%5C%5C%5CAs%5Cquad%28a%3Eb%3Ec%29%5C%5C%28ab%2Bbc%2Bca%29%3C3ab%5C%5C%5C%5Cd%3D%5Cfrac%7Babc%7D%7Bab%2Bbc%2Bca%7D%3E%5Cfrac%7Babc%7D%7B3ab%7D%5C%5C%5C%5Cd%3E%5Cfrac%7Bc%7D%7B3%7D)
Similarly
![\frac{bc+ac+ab}{abc}=\frac{1}{d}\\\\d=\frac{abc}{ab+bc+ca}\\\\As\quad a>b>c\\(ab+bc+ca)>3bc\\\\d=\frac{abc}{ab+bc+ca}](https://tex.z-dn.net/?f=%5Cfrac%7Bbc%2Bac%2Bab%7D%7Babc%7D%3D%5Cfrac%7B1%7D%7Bd%7D%5C%5C%5C%5Cd%3D%5Cfrac%7Babc%7D%7Bab%2Bbc%2Bca%7D%5C%5C%5C%5CAs%5Cquad%20a%3Eb%3Ec%5C%5C%28ab%2Bbc%2Bca%29%3E3bc%5C%5C%5C%5Cd%3D%5Cfrac%7Babc%7D%7Bab%2Bbc%2Bca%7D%3C%5Cfrac%7Babc%7D%7B3bc%7D%5C%5C%5C%5Cd%3C%5Cfrac%7Ba%7D%7B3%7D)
So,
![\frac{c}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bc%7D%7B3%7D%3Cd%3C%5Cfrac%7Ba%7D%7B3%7D)
Answer:
113385908
Step-by-step explanation:
use:
Brackets
Indices
Division
Multiplication
Addition
Subtraction
[(66+11)2-6]×766 121
First Brackets
66+11=77
[(77)2-6]×766121
Multiplication:
77×2=154
[154-6]×766121
Subtraction:
154-6=148
Multiplication:
148×766121= 113385908
The answer is B because when you divide the negative the sign changes :)
6000:150 or 40:1 Divided both digits by 150