Answer:
-5/14
Step-by-step explanation:
When adding fractions, you need to have a common denominator, the bottom part of a fraction. Because one denominator is 14 and the other is 7, you must create a new denominator.
To create a new denominator, you can either reduce a fraction or multiply it by something, which is easier.
For this problem, we can convert 2/7's denominator into 14 instead of 7 by multiplying the fraction by 2/2:
<u>2</u> x <u>2</u> = <u>4</u>
7 2 = 14
2/7 has now converted into 4/14. Now, we can easily add.
-9/14+4/14 This can be rewritten as something more understandable.
4/14-9/14 We are now subtracting.
-5/14 This cannot reduce, so it is our answer.
I hope this helps!! Have an amazing day and let me know if you want more explanation ;)
108 x 100/75 = 108 x 1.25 = 144
108 is 75% of 144.
Hope this helps :)
Y-2=-4/3(x+6)
y-2=-4/3x-24/3
y=-4/3x-24/3+2
y=-4/3x-24/3+6/3
y=-4/3x-18/3
y=-4/3x-6
Answer: The correct answer is: " 3 " .
_______________________________
Step-by-step explanation:
_______________________________
The problem given is:
_______________________________
Evaluate: log 2 base 8 .
_______________________________
Rewrite as: " 
" ;
_______________________
Take note of the following definition of a logarithm:
_______________________
" 
" ; ↔ " 
" ;
_______________________
in which: 
refers to the "base" ;
refers to the "argument" ;
refers to the "exponent" ;
______________________________
As such:
" "
⇔ " 
" ; Solve for "x" ;
_______________
Note:
2⁰ = 1 ;
2¹ = 2 ;
2² = 2 * 2 = 4 ;
2³ = 2 * 2 * 2 = 8 .
___________________
→ " " ;
→ " 
" ; since: " 
" ;
→ as such: " x = 3 " ;
______________________
Thus:
"log 2 base 8 " ;
= 
.
_______________________
Hope this helps!
Best wishes to you!
Answer:
103
Step-by-step explanation:
the line is 180 degree angle also know as a straight angle if you take the 40 and the 33 away from 180 you are left with 103 and that is angle a
