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3 years ago

How to solve it the answer

Mathematics

1 answer:

JulsSmile [24]3 years ago

4 0

13 - ? = 5

13 - 8 = 5! Subtract!

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12.93 is what percent of 172.40?

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Step-by-step explanation:

$METHOD\ 1:\\\\\begin{array}{ccc}172.4&-&100\%\\12.93&-&p\%\end{array}\qquad\text{cross multiply}\\\\172.4p=(12.93)(100)\\\\172.4p=1293\qquad\text{divide both sides by 172.4}\\\\p=7.5\ (\%)$

$METHOD\ 2:\\\\\dfrac{12.93}{172.4}\cdot100\%=\dfrac{1293}{17240}\cdot100\%=0.075\cdot100\%=7.5\%$

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Find the common difference of the sequence shown 1/6,1/3,1/2,2/3,......

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Common Difference(d) is

$d=\frac{1}{6}$

Step-by-step explanation:

Given sequence is :

$\frac{1}{6}, \frac{1}{3} ,\frac{1}{2} ,\frac{2}{3} .........$

If a sequence has a constant common difference throughout the sequence, then the sequence is called Arithmetic Progression.

Considering a sequence:

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$a_2-a_1=a_3-a_2=a_4-a_3=a_n-a_n_-_1=d$

where 'd' is the common difference of the A.P.

Similarly, finding the common difference of the given sequence.

$\frac{1}{3} -\frac{1}{6}= \frac{1}{2}- \frac{1}{3}=\frac{2}{3} - \frac{1}{2}=d\\$

$d=\frac{1}{3}-\frac{1}{6}=\frac{(2)(1)-(1)(1)}{6}=\frac{1}{6}$

$d=\frac{1}{6}$

Common Difference(d) is

$d=\frac{1}{6}$

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