Answer
<em>length = width + 15</em>
<em>Area = length * width; area is 54 square feet.</em>
<em>Two equations are:</em>
<em>L = W + 15</em>
<em>L * W = 54</em>
<em>To solve, we substitute first equation into second equation:</em>
<em>(W + 15) * W = 54</em>
<em>w^2 + 15w = 54</em>
<em>w^2 + 15w - 54 = 0</em>
<em>(w+18)(w-3) = 0</em>
<em>w = -18 or 3</em>
<em>The width cannot be negative, so 3 is the width and since length is 15 more than width, length is 18:</em>
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<em>Length = 18 feet</em>
<em>Width = 3 feet</em>
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Answer:
Graph 1
Domain = -8 =< x =< 10
Range = -9 =< f(x) =< 9
Graph 2
Domain = -1 =< x =< 5
Range = -1 =< f(x) =< 2
Explaination:
Domain means the inputed x values on the x-axis, so to make things simpler and to not write every individual x values. We write it with <, >, and =<. (you can see it as the 'width' of a graph).
Range means the output y values on the y-axis. It's like the 'height' of a graph. And also, to make things simpler and to not write every individual y values. We write it with <, >, and =< with f(x) too because f(x) = y.
The total amount of people who ordered a large is 5 + 12 + 8 = 25 people.
The amount of customers who bought a large cold drink is 5.
The probability that someone bought a large cold drink is 5 out of 25 people.
This is 5/25 which is 1/5 which is .2
Convert the decimal to a fraction by multiplying by 100 and adding a percent sign at the end.
.2 x 100 = 20%
Edit:
The probability was supposed to be if the customer ordered a cold drink based on people who ordered large.
The amount of people who ordered a large drink is 22 + 5 = 27.
The amount of people who ordered a cold large is 5.
To find the percent, divide the people who ordered cold large by the total people who ordered large.
This would be 5/27 which in decimal form is .185185
To convert to a percent, multiply by 100 and add a percent sign after it.
.185185 x 100 = 18.5185%
The question says to round to the nearest percent so your answer is:
19%
The formula for an area of a circle is A= pi(r)^2
so if you plug in 5 to r (because it’s the radius) you should get A= 78.5
