During a cold front, the temperature in Denver, Colorado, dropped from 7 degrees C to -5 degrees C. What was the change in the t
1 answer:
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<h2>Hello!</h2>
The answer is:
The fabric will cost $4.58
D.$4.58
<h2>Why?</h2>Since it's a conversion exercise, we need to pay special attention to the conversion procedure.
From the statement we know that:
So, if she needs 10 feet of fabric, we need to convert it to meters, and then, calculate its cost.
We have that:
Now, we have that each meter of fabric cost $1.50, so, 3.05m of fabric will cost:
Hence, we have that the cost of the fabric will be $4.58.
The correct option is: D.$4.58
Have a nice day!
The values of x and y are 70/22 and 30/22 respectively by using the first-order condition of differential calculus.
<h3>What is the first-order condition in differential calculus?</h3>A first-order differential equation is represented by the equation with 2 variables x & y, including its function f(x,y) specified on a xy-plane.
Given that:
Let us first differentiate the above equation with respect to x, we have:
(multiply by -1)
44x - 22y = 110 ------ (equation 1)
Now, differentiating with respect to y, we have:
22x - 22y = 40 ----- (equation 2)
Now, we have a system of equations:
44x - 22y = 110
- ---- ( subtracting equation 2 from 1; elimination method)
<u> 22x - 22y = 40 </u>
<u>22x + 0 = 70 </u>
<u />
x = 70/22
Replacing the value of x into equation (1), we have:
44x - 22y = 110
44(70/22) - 22y = 110
140 - 22y = 110
140 - 110 = 22y
30 = 22y
y = 30/22
Learn more about the first-order conditions in differential calculus here;
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