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2 years ago

Plz someone help on this question

Mathematics

2 answers:

sergey [27]2 years ago

5 0

Answer:

Hi there!

Your answer is:

1050 liters per 6 days

Step-by-step explanation:

350liters per 2 days

*3 to determine 6 days

1050 liters per 6 days

Hope this helps

earnstyle [38]2 years ago

5 0

Answer:

1050

Step-by-step explanation:

350 liters per 2 days

to get 6 days you will need to multiple 2 by 3

you need to do that to 350 too

350 x 3 = 1050

your ration is 350:2

make it to

1050:6

let me know if you need more help

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$\huge\text{Hey there!}$

$\large\textsf{Which expressions have a value of }\mathsf{\dfrac{16}{81}?\ }\large\textsf{Check ALL that APPLY. }$

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$\large\text{Option A. could POSSIBLY be your ANSWER}$

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$\mathsf{(\dfrac{4}{9})^2}\\\\\mathsf{= \dfrac{4}{9}\times \dfrac{4}{9}}\\\\\mathsf{= \dfrac{4\times4}{9\times9}}\\\\\mathsf{4\times4 = \bf 16}\\\\\mathsf{\dfrac{\bf 16}{9\times9}}\\\\\mathsf{9\times9 = \bf 81}\\\\\\\mathsf{\dfrac{16}{\bf 81}}\\\\\\\mathsf{= \bf \dfrac{16}{81}}$

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$\text{Good luck on your assignment and enjoy your day!}$

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which ordered pair is a solution to the system of linear equations 1/2 x - 3/4 y = 11/60 and 2/5 x + 1/6 y = 3/10?

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Value of $x=\frac{2}{3}\,\,and\,\,value\,\,of\,\,y=\frac{1}{5}$

Solution set is $(\frac{2}{3},\frac{1}{5})$

Step-by-step explanation:

We need to solve the following system of equations:

$\frac{1}{2}x-\frac{3}{4}y=\frac{11}{60}\,\,\,eq(1)\\\frac{2}{5}x+\frac{1}{6}y=\frac{3}{10}\,\,\,eq(2)$

We can solve this using Substitution.

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$\frac{1}{2}x=\frac{11}{60}+\frac{3}{4}y\\ x=\frac{11}{30}+\frac{3}{2}y$

Putting value of x in equation(2)

$\frac{2}{5}(\frac{11}{30}+\frac{3}{2}y)+\frac{1}{6}y=\frac{3}{10}\\Solving:\\Taking\,\,LCM\,\,of\,\,5,6,10 \,\,we\,\,get: 30\\Multiply\,\,by\,\,LCM\\\frac{2}{5}(\frac{11}{30}+\frac{3}{2}y)\times30+\frac{1}{6}y\times30=\frac{3}{10}\times30\\Simplifying:\\12(\frac{11}{30}+\frac{3}{2}y)+5y=9\\\frac{22}{5}+18y+5y=9\\23y=9-\frac{22}{5}\\23y=\frac{45-22}{5}\\23y=\frac{23}{5}\\y=\frac{\frac{23}{5} }{23}\\y=\frac{1}{5}$

Putting value of y=1/5 in $x=\frac{11}{30}+\frac{3}{2}y$

$x=\frac{11}{30}+\frac{3}{2}\times\frac{1}{5} \\x=\frac{11}{30}+\frac{3}{10}\\x=\frac{11+3*3}{30}\\x=\frac{11+9}{30} \\x=\frac{20}{30}\\x=\frac{2}{3}$

So, value of $x=\frac{2}{3}\,\,and\,\,value\,\,of\,\,y=\frac{1}{5}$

Solution set is $(\frac{2}{3},\frac{1}{5})$

Keywords: System of linear Equations

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