The minimum and maximum amounts that the artist received for her products are 278 and 322
<h3>Part A: Define a variable and write an
absolute value equation to represent the scenario.</h3>
Let the number of prints remaining be x.
The given parameters are:
Total = 300
Amount = 22 within her goal
So, we have the following absolute value equation
|x - 300| = 22
<h3>Part B: Solve the equation, showing all steps.</h3>
In (a), we have:
|x - 300| = 22
Remove the absolute bracket
x - 300 = 22 and x - 300 = -22
Add 300 to both sides
x = 322 and x = 278
<h3>Part C: What are the minimum and maximum amounts that the artist received for her products?</h3>
The minimum and maximum amounts that the artist received for her products are 278 and 322
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This is simple division:
So, plug it into your calculator and you get:
Your answer's that
it takes 4.5 hrs for the surveillance run.
To solve this system by substitution, we must substitute in the value we are given for x in terms of y (the first equation) into the second equation. This is modeled below:
x = -8y - 15
2x + 5y = -8
2 (-8y - 15) + 5y = -8
Now, we should solve this new equation for y. To begin, we should use the distributive property to get rid of the parentheses on the left side of the equation and begin the simplification process.
-16y - 30 + 5y = -8
Next, we can combine like terms on the left side of the equation by adding together the two terms that both contain the variable y.
-11y - 30 = -8
Next, we should add 30 to both sides in order to move all of the constant (number) terms to the left side of the equation.
-11y = 22
After that, we should divide both sides of the equation by -11 in order to get the variable y alone.
y = -2
Now, we can substitute our value for y back into one of our original equations (it doesn't matter which one you choose; they will yield the same answer).
x = -8y - 15
x = -8(-2) - 15
To simplify, we should following the order of operations outlined by PEMDAS and compute the multiplication and then the subtraction.
x = 16 - 15
x = 1
Therefore, the answer to the system is x = 1 and y = -2, or (1,-2) when written as an ordered pair.
Hope this helps!
Answer:
The profit made is;
b) $285)
Step-by-step explanation:
The given parameters are;
The number of shares bought, n = 50
The price each share is bought, CP = $55
The amount at which each share is sold, SP = $61
The amount the broker received per share, E = $0.30
Therefore, the amount of profit, 'P', is given as follows;
P = n × (SP - CP - E)
By substituting the values for the variables, we have;
P = 50 × (61 - 55 - 0.3) = 285
The amount made as profit, P = $285.00.
15,2,31,13
Answer:
Solution given:a number that is divisible only by itself and 1 (e.g. 2, 3, 5, 7, 11).
now
all prime numbers are:
15,2,31,13
