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2 years ago

How does one derive to an answer for different problems... is there a simple rule for 7th grade math?

1 answer:

5 0

Honestly, there isn't a set rule. The rules differ for every topic of a subject within a certain grade. For example, the Pythagorean Theorem doesn't pertain to solving for the polynomial.
I hope this helps! :)

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three tanks are capable of holding 108 litres, 168 litres and 180 litres of milk. determine the capacity of the greatest vessel

SpyIntel [72]

A vessel of 7,560 liters

Step-by-step explanation:

This means finding the Least Common Multiple for;

108 168 180

We begin by finding the multiples of each number;

Multiples of 108:

108, 216, 324, 432, 540, 648, 756, 864, 972, 1080, 1188, 1296, 1404, 1512, 1620, 1728, 1836, 1944, 2052, 2160, 2268, 2376, 2484, 2592, 2700, 2808, 2916, 3024, 3132, 3240, 3348, 3456, 3564, 3672, 3780, 3888, 3996, 4104, 4212, 4320, 4428, 4536, 4644, 4752, 4860, 4968, 5076, 5184, 5292, 5400, 5508, 5616, 5724, 5832, 5940, 6048, 6156, 6264, 6372, 6480, 6588, 6696, 6804, 6912, 7020, 7128, 7236, 7344, 7452, 7560, 7668, 7776

Multiples of 168:

168, 336, 504, 672, 840, 1008, 1176, 1344, 1512, 1680, 1848, 2016, 2184, 2352, 2520, 2688, 2856, 3024, 3192, 3360, 3528, 3696, 3864, 4032, 4200, 4368, 4536, 4704, 4872, 5040, 5208, 5376, 5544, 5712, 5880, 6048, 6216, 6384, 6552, 6720, 6888, 7056, 7224, 7392, 7560, 7728, 7896

Multiples of 180:

180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800, 1980, 2160, 2340, 2520, 2700, 2880, 3060, 3240, 3420, 3600, 3780, 3960, 4140, 4320, 4500, 4680, 4860, 5040, 5220, 5400, 5580, 5760, 5940, 6120, 6300, 6480, 6660, 6840, 7020, 7200, 7380, 7560, 7740, 7920

The Least Common Multiple for the 3 number is;

= 7560

Therefore a vessel of 7,560 liters fills each one of them an exact number of times with no remainder.

Learn More:

For more on Least Common Multiple check out;

brainly.com/question/11978021

#LearnWithBrainly

5 0

3 years ago

A cell phone was on sale 30% off.The sale price was $239.89 .what was the original price of the phone

klasskru [66]

Answer: $167.92

239.89×0.70=167.923

I got the 70 from 100-% off (100-30)

May I ask where this phone is? I need a new one :)

4 0

3 years ago

In 1999 the population of Austria was one-third the population of Nepal. At that time the number of people living in Austria was

kari74 [83]

The answer would be 24,300,000 people living in Nepal.

3 0

3 years ago

Convert 6 2/3 cups to pints. Express your answer in simplest form.

Dmitry_Shevchenko [17]

First off, let's convert the mixed fraction to "improper", keeping in mind that, there are 2 cups in 1 pint.

$\bf \stackrel{mixed}{6\frac{2}{3}}\implies \cfrac{6\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{20}{3}}
\\\\\\
\begin{array}{ccll}
cups&pints\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2&1\\\\
\frac{20}{3}&p
\end{array}\implies \cfrac{\quad 2\quad }{\frac{20}{3}}=\cfrac{1}{p}\implies \cfrac{\quad \frac{2}{1}\quad }{\frac{20}{3}}=\cfrac{1}{p}$

$\bf \cfrac{2}{1}\cdot \cfrac{3}{20}=\cfrac{1}{p}\implies \cfrac{3}{10}=\cfrac{1}{p}\implies p=\cfrac{10\cdot 1}{3}\implies p=\cfrac{10}{3}\implies p=3\frac{1}{3}$

5 0

3 years ago

What is the quotient of 2 1/4 and 5/8?

Dmitriy789 [7]

It's simple math, but if you don't understand, we can help. To begin with, you must first convert 2 1/4 to an improper fraction. You'd be left with 9/4 after the conversion. Write out 9/4 ÷ 5/8. After doing so, find the reciprocal of 5/8 (switch the numerator and the denominator). Now, write out the question as 9/4 × 8/5. Multiply straight across, as you do not need common denominators when multiplying or dividing fractions. Your final answer should be 72/20. When simplified, you should get 3 2/20, or when simplified to the smallest amount, 3 1/10. Hope I was clear enough to help! :)

8 0

2 years ago