Answer:
(2, 5)
Step-by-step explanation:
The x coordinate is the number inside the parentheses, but with the opposite sign, 2
The y coordinate is the number at the end
9514 1404 393
Answer:
$2.50
Step-by-step explanation:
The question asks for the total cost of a notebook and pen together. We don't need to find their individual costs in order to answer the question.
Sometimes we get bored solving systems of equations in the usual ways. For this question, let's try this.
The first equation has one more notebook than pens. The second equation has 4 more notebooks than pens. If we subtract 4 times the first equation from the second, we should have equal numbers of notebooks and pens.
(8n +4p) -4(3n +2p) = (16.00) -4(6.50)
-4n -4p = -10.00 . . . . . . . . . . . simplify
n + p = -10.00/-4 = 2.50 . . . . divide by the coefficient of (n+p)
The total cost for one notebook and one pen is $2.50.
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<em>Additional comment</em>
The first equation has 1 more notebook than 2 (n+p) combinations, telling us that a notebook costs $6.50 -2(2.50) = $1.50. Then the pen is $2.50 -1.50 = $1.00.
One could solve for the costs of a notebook (n) and a pen (p) individually, then add them together to answer the question. We judge that to be more work.
Answer: $15.94
Step-by-step explanation:
Let r be your rate you get paid per hour normally. Let's set up this equation.
(30 * r) + 4(1.5 * r) = 573.83
30r + 6r = 573.83
36r = 573.83
r = 15.94 (rounded)
You get paid $15.94 hourly.
The line x - y = 5 passes through points (-5,0) and (0,5)
the line in slope intercept form is y = x + 5 and plug in the point to see if the equation is true.
