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Naddika [18.5K]
3 years ago
13

The H.C.F. and L.C.M. of two numbers are 6 and 280 respectively if one of the number is 30 find the other number.

Mathematics
1 answer:
viktelen [127]3 years ago
5 0

Answer:

168.

Step-by-step explanation:

H.C.F. = 6 = 2 by 3.

L.C.M. = 280 = 2^3 by 5 by 7.

30 = 2 by 3 by 5.

x = 2^3 by 3 by 7 = 168.

I used the factorisation method.

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7 0
2 years ago
Solve for x.
Ivahew [28]
ANSWER

x=\frac{2-\sqrt{10}} {3}

or

x=\frac{\sqrt{10}+2} {3}

We have

3x^2-4x-2=0

Since we cannot factor easily, we complete the square.

Adding 2 to both sides give,

3x^2-4x=2

Dividing through by 3 gives

x^2-\frac{4}{3}x= \frac{2}{3}

Adding (-\frac{2}{3})^2 to both sides gives

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The expression on the Left Hand side is a perfect square.

(x-\frac{2}{3})^2= \frac{2}{3}+\frac{4}{9}

\Rightarrow (x-\frac{2}{3})^2= \frac{10}{9}

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\Rightarrow (x)=\frac{2}{3} \pm {\frac{\sqrt{10}}{3}

Splitting the plus or minus sign gives

x=\frac{2- \sqrt{10}} {3}

or

x=\frac{\sqrt{10}+2} {3}
3 0
3 years ago
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Answer:

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4 0
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Using division to find ratios that are equivalent to 40:28
GrogVix [38]

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