Lauren bought 20 ounces of sliced ham. She used 3/4 of the ham to make sandwiches for her friends and 1/5 of the ham in an omele
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Answer:
Slope:
Y-intercept: 399
Slope-intercept form:
Step-by-step explanation:
1. The equation in Standard form is given in the problem:
2. Then, to write the equation of the line in slope-intercept form , where <em>m</em> is the slope and <em>b</em> is the y-intercept, you must solve for <em>y</em> as you can see below:
3. Therefore, the slope and the y-intercept are:
We have a rectangle with length L that is 3 inches more than the width W. Then we can write this as:
The area of the rectangle is 180 square inches.
We have to find the width W.
As the area is equal to the product of the length and the width, we can write this equation and solve for W as:
We have a quadratic equation. The roots of this equation will be the mathematical solutions.
We can find the roots using the quadratic formula:
The solutions are W = -15 and W = 12.
The first one is not valid, as W has to be greater than 0.
Then, the solution to our problem is W = 12 in.
Answer: the width is W = 12 inches.