Answer:

Step-by-step explanation:
We would multiply the fraction by its conjugate
( A conjugate is a expression that has the same integer or number values but have different signs) for example

and

ARE Conjugates.
The conjugate of

is

So this means we will multiply the expression by 1 plus sqr root of 5 on the numerator and denominator.
Our new numerator will be

We can apply the difference of squares for the denominator.

So our denominator will be

So our rationalized fraction will be

3(2x)=4x+4
do the bracket first
(3)(2x)= 6x
6x= 4x+4
move 4x to the other side
sign changes from +4x to -4x
6x-4x=4x-4x+4
6x-4x= 4
2x= 4
divide by 2
2x/2=4/2
x=2
Answer: x= 2
Answer:
The answer is 13
Step-by-step explanation:
To find this we have find greatest common factor of 26 and 65 which turns out to be 13
To prove this answer we divide the number of scones to 13
26/13=2 scones of strawberry in each bag
65/13=5 scones of blackberry in each bag
2 and 5 will be found in each of the 13 bags.
Hope it helped.
Answer:
2.4 hours or 2 hours and 24 minutes
Step-by-step explanation:
Jack mows 1/6 of the lawn per hour while Marilyn mows 1/4 of the lawn together. Adding up those rates yields in their combined mowing rate:

The time required for them to mow the entire lawn is:

It would take them both 2.4 hours to mow the lawn together.