Repeat Part A for the situation where Mari’s lemonade stand makes a profi t (meaning she has enough money to pay for her startup
1 answer:
Mari must sell more than 36 cups of lemonade to make profit
<h3>How to draw the number line?</h3>The complete question is added as an attachment
From the question, we have:
Start up cost = $18
Let the amount per cup of lemonade be $0.5, and the number of cups be x
So, the total amount in sales is:
Total = 0.5 * x
Evaluate
Total = 0.5x
When Mari’s lemonade stand makes a profit, we have:
Total sales > Start up cost
This gives
0.5x > 18
Divide both sides by 0.5
x > 36
Hence, Mari must sell more than 36 cups of lemonade to make profit
See attachment for the number line
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A = length x width
15,000 = (w + 30) x w
15,000 =
+ 30w
0 = + 30w - 15,000
Use quadratic formula to find that w= -15 + or - 5
. Because distance cannot be negative, the width is -15 + 5meters or approximately 108.39 meters. This means that the length is approximately 138.39 meters.
15,000 = (w + 30) x w
15,000 =
0 =
Use quadratic formula to find that w= -15 + or - 5
<h2>Answer:</h2>
We will use the Gaussian elimination method to solve this problem. To do so, let's follow the following steps:
Step 1: Let's multiply first equation by −2. Next, add the result to the second equation. So:
Step 2: Let's multiply first equation by −1. Next, add the result to the third equation. Thus:
Step 3: Let's multiply second equation by −35, Next, add the result to the third equation. Therefore:
Step 4: solve for z, then for y, then for x:
By substituting into the first equation, we get the
. So: