To solve using completing square method we proceed as follows:
x^2-10x+8=0
x^2-10x=-8
but
c=(b/2)^2
c=(10/2)^2=25
thus we can add this in our expression to get
x^2-10x+25=8+25
factorizing the LHS we get:
(x-5)(x-5)=33
(x-5)^2=33
getting the square roots of both sides we have:
x-5=+/-√33
x=5+/-√33
x is the number of adults and y is the number of children.
x + y = 12
<span>14x + 10y = 140
lets multiply the first equation by -10 and then add it to the second equation:
-10x - 10y = -120
</span>14x + 10y = <span>140
</span>-----------------------
4x + 0 = 20
x = 20/4
x = 5
then substitute in the original equation:
x + y = <span>12
</span>5 + y = <span>12
</span>y = 12 - 5
y = 7
therefore there were 5 adults and 7 children
Answer:
Step-by-step explanation:
Pretty sure its true but im a little iffy
Total = 7 slices.
1student = 7/9 of a slice.
Total number of students:


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Answer: She will be able to hand out to 9 students.---------------------------------------------------------------------------
Answer:
3.9
Step-by-step explanation:
The retained earnings for the year is $205,000
The firm paid out $185,000 in cash dividend
It has total equity of$4.90 million
100,000 common shares are outstanding
Therefore the earnings per share van be calculated as follows
= 205,000+185,000/100,000
= 390,000/100,000
= 3.9
Hence the earnings per share is $3.9