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:
Step-by-step explanation:
Given is a trignometric equation in x, as
TO make it in one trig ratio, we can replace sin2x as 2sinx cosx
WE get now
Principal solution is 
x = ±π/2 + 2kπ, where k is any integer or
x=±pi/6 +k pi, where k is any integer.
General solution is
So sum the prime factors up
25=5*5, 5+5=10
26=2*13, 2+13=15
27=3*3*3, 3+3+3=9
15>10>9
26 is biggest
pick 26
Answer:
7.8 feet
Step-by-step explanation:
The shadow, the ground and the distance between the top of the tree and end of the shadow form 2 right-angled triangles which are similar.
So corresponding sides are in the same ratio. Therefore:-
40 / 12 = 26/x where x is the length of shadow cast by the smaller tree.
40x = 12*26
x = (12*26) / 40
= 7.8 feet
