Answer:
41/45
Step by Step Explanation:
Add: 8/
10
 + 1/
9
 = 8 · 9/
10 · 9
 + 1 · 10/
9 · 10
 = 72/
90
 + 10/
90
 = 72 + 10/
90
 = 82/
90
 = 2 · 41/
2 · 45
 = 41/
45
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 9) = 90. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 9 = 90. In the following intermediate step, cancel by a common factor of 2 gives 41/
45
.
In other words - eight tenths plus one ninth = forty-one forty-fifths.
 
        
             
        
        
        
Hey there :)
( 5y + 9 )( 6y - 1 )
We need to use FOIL to expand, that is
First Terms
Outer Terms
Inner Terms
Last Terms
     First          Outer         Inner      Last
( 5y )( 6y ) + ( 5y )( - 1 ) + 9 ( 6y ) + 9 ( - 1 )
    30y²     -        5y      +    54y   -       9
Combine, if any, the like-terms
30y² + 49y - 9
        
                    
             
        
        
        
2 (l + w) = 36
l + w = 18
2x + 7x = 18
9x = 18
x = 2
the length of the sides
l = 2x
l = 2(2)
l = 4
w = 7x
w = 7(2)
w = 14
        
             
        
        
        
Answer:
(0,3]
Step-by-step explanation:
You put ( when the number is included and ] when the number isn't included. So 0 is included and 3 isn't.
 
        
             
        
        
        
Answer: 4ab2 - 3a + 13b
Step-by-step explanation:  (a•(b2))+13b)-4a)+(3ab2+a) 
Factoring    4ab2 - 3a + 13b