Natalie picks 40 bushels in 12 hours and mary can pick the same amount in 11 hours. how long would it take if they worked together?

or

Step-by-step explanation:

You can use the following work-rate formula:

In this case let be the time  it takes for Natalie to pick 40 bushels, the time it takes for Mary to pick 40 bushels and the time it takes to pick 40 bushels  if they work together.

Based on the information given in the exercise, you can identify that:

Then, knowing this values, you need to substitute them into the formula:

Finally, you must solve for "t" in order to find its value.

The result is:

Since :

Therefore it would take 5 hours and 44 minutes  to pick 40 bushels if they worked together.

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.