Convert 0.912 into a single fraction

Mathematics

2 answers:

Yuliya22 [10]3 years ago

8 0

Answer:

$\frac{114}{125}$

Step-by-step explanation:

$\frac{912}{1000} = \frac{456}{500} = \frac{114}{125}$

shtirl [24]3 years ago

6 0

114/125 in one fraction

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Does the equation r = 3 represent a function? Choose one option from each drop-down menu to explain your answer. For an equation

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p is the point on the line 2x+y-10=0 such that the length of OP, the line segment from the origin o to p is a minimum. find the

REY [17]

Coolio

alright, so the disatnce formula is
$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

solve for y in the equation given on top
2x+y-10=0
y=10-2x
ok
so (x1,y1)=(0,0), the first point
(x2,y2)=(x,10-2x)
so subsitute to get

$D=\sqrt{(x-0)^2+(10-2x-0)^2}$
$D=\sqrt{(x)^2+(10-2x)^2}$
$D=\sqrt{x^2+4x^2-40x+100}$
$D=\sqrt{5x^2-40x+100}$
find the miniumum
we only need to minimize what is under the square root so
take the derivitive of 5x²-40x+100
that is 10x-40
it is 0 at x=4
when x<4, the derivitive is negative
when x>4, the derivitive is positve
goes from negative to positive
so it is a minimum

at x=4
find y
y=10-2x
y=10-2(4)
y=10-8
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(4,2)
find min distance

$D=\sqrt{(x-0)^2+(y-0)^2}$
$D=\sqrt{(4-0)^2+(2-0)^2}$
$D=\sqrt{(4)^2+(2)^2}$
$D=\sqrt{16+4}$
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the point, P, is (4,2) and the minimum distance is 2√5

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3 years ago

What is 5/7 of 188.3 Miles

FinnZ [79.3K]

$\frac{5*188,3}{7}=134,5 miles$