Bethany can mow her family’s lawn in 4 hours. her brother colin can mow the lawn in 3 hours. which equation can be used to find x, the amount of time it would take for bethany and colin to mow the lawn together? .

The required equation is

The amount of time it would take for Bethany and Colin to mow the lawn together is approx 1.71 hours.

Step-by-step explanation:

Given : Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours.

To find : Which equation can be used to find x, the amount of time it would take for Bethany and Colin to mow the lawn together?

Solution :

Let the whole lawn of the house be 1 unit.

Bethany can mow her family’s lawn in 4 hours.

i.e.The rate of Bethany is lawns per hour.

Her brother Colin can mow the lawn in 3 hours.

i.e.The rate of Colin is lawns per hour.

Together they work x hours.

i.e. The together rate  is lawns per hour.

So, The equation form according to question is

Therefore, The required equation is

Solving for x,

The amount of time it would take for Bethany and Colin to mow the lawn together is approx 1.71 hours.

5cm and (-)6cm

Step-by-step explanation:

X² + x - 30

Using factorization method,

Factors are

(X-5) , (x+6)

X² + x - 30 = 0

X² -5x + 6x -30 = 0

(X-5) + (x+6) = 0

X-5 = 0 or x + 6 = 0

X = 5 or x = -6