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Answer:
The formula for the area of a square with sides of length x is A = x2 so
x2 = 400 is the equation
This equation has 2 solutions, namely x = ±√400 = +20 or -20
The negative solution does not make sense because a length cannot be less than 0.
The total length needed to go around the painting is the perimeter of the square, which is
P = 4*x = 4*20 = 80 inches
Answer:
12 pounds
Step-by-step explanation:
One quantity is asked for, so it is convenient to let a variable represent that. We can use x to represent pounds of chocolate. Then the total cost of the mix is ...
19.30·x + 3.50·18 = 9.82·(x +18) . . . . cost of chocolate + cost of trail mix
9.48·x = 113.76 . . . . . . simplify, subtract 63+9.82x
113.76/9.48 = x = 12 . . . . . . divide by the coefficient of x
The owner needs to mix 12 pounds of chocolate. (no rounding necessary)
For this case we have the following inequality:
We will solve the inequality algebraically.
We have then:
We add 2 to both sides of the inequality:
Rewriting we have:
Therefore the solution is:
(-inf, -3)
Answer:
(-inf, -3)
See attached image.