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bonufazy [111]
3 years ago
15

Alina and Joe are both thinking of the same positive number. Alina tells Joe that her number is a factor of 9, while he tells he

r that it is a factor of 12. If the number is not 1, what is it?
Mathematics
2 answers:
Andre45 [30]3 years ago
7 0
It is 3, given that
3 \times 3 = 9
and
3 \times 4 = 12
vovikov84 [41]3 years ago
3 0
9 and 12 have a factor of 3
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Which polynomial is a product of (3x+2) and (x-7)
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(3x+2)  (x-7)

FOIL

first 3x*x  = 3x^2

outer  3x*-7 = -21x

inner = 2*x = 2x

last  2*-7 = -14

add them together  = 3x^2 -21x+2x -14

combine like terms  3x^2 -19x -14

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4 years ago
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a painter bought 8 gallons of paint just enough to cover 2 rooms. One room is twice the size of the other and requires only 2 co
e-lub [12.9K]
So, he's got 8 gallons of paint, to paint the two rooms, of the two rooms, one is twice as big as the other

now, "x" is how many gallons to paint the larger room with only one coat, however, the larger room uses 2 coats, so, the larger room uses 2x of paint
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then one can say the painter bought enough for both rooms, 1coat for the small one and 2coats for the larger one

so, the paint the larger room, you'll 2x of paint, for 2coatsand to paint the smaller room, you'll need 1/2 x, because x gallons is how much is needed for the larger room, but the larger room is twice as big, thus the smaller room uses 1/2 of that in gallons

thus, with those assumptions, that the small room will use only 1 coat
\bf \cfrac{1}{2}x+2x=8\implies \cfrac{5x}{2}=8\implies x=\cfrac{16}{5}
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now, the client decides to skip the smaller roomso, the painter will only need 2x gallons then

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3 0
3 years ago
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Find the length and width of a rectangle that has the given perimeter and a maximum area. perimeter: 244 meters
MissTica
We know that

[perimeter of rectangle]=2*(<span>length+width)
</span>
Let
x-----------> length
y-----------> width
so
P=2*(x+y)-----------> 244=2*(x+y)-----> x+y=122-------> y=122-x

Area=x*y-------> x*(122-x)----> 122x-x²

find the derivative function and equals to zero

122-2x=0-----> 122=2x----------> x=61 m
y=122-x------> y=122-61---------> y=61 m

<span>the maximum area is given by a square
</span>
the answer is
is a square of side 61 m


6 0
4 years ago
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