Answer:
x = 42
Step-by-step explanation:
Collect like terms (all x together and constants together)
4x + 12 = 180
4x = 180 - 12
4x = 168
x = 168 / 4
x = 42
Angle two would be 180-m<1
180-52= 128
Measurement of angle two is 128 degrees
The level has dropped 11 mms in 22 hours
that is 0.5mm per hour
So the remaining 31 mm will be gone in 31 / 0.5 = 62 hours
62 hours after 11 am Wednesday brings us to 11 am Friday + 14 hours
= 1 am Saturday. answer
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.
