Lisa takes 3 hours to mow the lawn, while her cousin, barb, takes 2 hours. how long will it take them working together?

5/6 hours= 50 minutes.  

Step-by-step explanation:

We have been given that Lisa takes 3 hours to mow the lawn.

Time taken by Lisa to mow the lawn= 3 hours

Lawn mowed by Lisa in 1 hour = 1/3

Barb, takes 2 hours to mow the same lawn.

Time taken by Barb to mow the lawn= 2 hours

Lawn mowed by Barb in 1 hour = 1/2

Together rates of Barb and Lisa will be 1/3+1/2

We can find time taken by Lisa and Barb, while working together by equating their rates to 1 as they will mow 1 lawn together.

Let us have a common denominator.

Therefore, time taken by Barb and Lisa to mow one lawn is 5/6 hours.

We can convert time in minutes by multiplying 5/6 by 60 (1 hour = 60 minutes).

Therefore, Barb and Lisa can mow the lawn in 50 minutes, if they work together.

Step-by-step explanation:

Given: Lisa takes hours to mow the lawn, while her cousin, Barb, takes hours.

To Find: How long will it take them working together.

Solution:

Let total work be  

Let total time taken when working together

work done by them in one hour when working together

Time taken by Lisa to mow the lawn

work done by Lisa in one hour      

Time taken by Barb to mow the lawn

work done by Barb in one hour      

when working together,

putting values

it will take when working together.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

answer:   rotate 270° clockwise about (7, 1) and reflect across the line x = 7

step-by-step explanation:

because i took test