Answer:
Theresa needs 14.3 pounds of Brand A mixed nuts and 13.2 pounds of Brand B mixed nuts.
Step-by-step explanation:
Let A represent the brand A mixed nuts and B represent Brand B mixed nuts.
We have been given that farmer Theresa's Produce Stand sells 27.5 lbs. bags. We can represent this information in an equation as:

We are also told that to make her product she combines Brand A mixed nuts which contain 20% peanuts and Brand B mixed nuts which contain 70% peanuts.
We can represent this information in an expression as:

Since the stand sells 27.5 lbs. bags of mixed nuts that contain 44% peanuts. We can represent this information in an equation as:

Upon substituting equation (1) in equation (2), we will get:







Therefore, Theresa needs 13.2 pounds of Brand A mixed nuts.
To find amount of Brand B mixed nuts, we will substitute
in equation (1) as:



Therefore, Theresa needs 14.3 pounds of Brand B mixed nuts.
Answer:
620 minutes
Step-by-step explanation
In one day,Mata exercise 20minutes more than Greg
31 days so we have 20 *31=620
Answer:

Step-by-step explanation:
we know that
The insurance company reduces the price by 2.1%
Remember that
The actual cost of £475.29 a year represent the 100%
so

To find out the new insurance cost, multiply the original cost by the factor 0.979

<h3>Credited balance:-</h3>



<h3>Debited amount:-</h3>


<h3>Checked amount:-</h3>



<h3>Total change in balance</h3>



Now
<h3>Current balance</h3>


Let x, y and z denote the weighs of car X, car Y and car Z, respectively.
We know that car X weighs 136 more than car Z, this can be express by the equation:

We also know that Y weighs 117 pounds more than car Z, this can be express as:

Finally, we know that the total weight of all the cars is 9439, then we have:

Hence, we have the system of the equations:

To solve the system we can plug the values of x and y, given in the first two equations, in the last equation; then we have:

Now that we have the value of z we plug it in the first two equations to find x and y:

Therefore, car X weighs 3198 pound, car Y weighs 3179 pounds and car Z weighs 3062 pounds.