Asap: : : : : : 75 points to the ! jordan is a manager of a car dealership. he has two professional car washers, matthew and arianna, to clean the entire lot of cars. matthew can wash all the cars in 14 hours. arianna can wash all the cars in 11 hours. jordan wants to know how long it will take them to wash all the cars in the lot if they work together. write an equation and solve for the time it will take matthew and arianna to wash all the cars together. explain each step.

t = 6 4/25 hours

Step-by-step explanation:

The formula to find out how long it takes them to do the job is

1/m  + 1/ a  = 1 /t

where m is the time for Matthew to do the job

a is the time for Arianna to do the job

and t is the time for them to do the job together

m = 14 hours

a = 11 hours

Substituting what we know

1/14 + 1/11 = 1/t

Multiplying by 154t (14*11*t) so we can clear the fractions

154t*(1/14 + 1/11) = 1/t* 154t

 11t + 14t = 154

Combine like terms

25t = 154

Divide by 25

t = 154/25

t = 6 4/25 hours

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)

g

step-by-step explanation: