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4 years ago

Explain why the greatest common factor of two numbers is sometimes one

Mathematics

2 answers:

saul85 [17]4 years ago

3 0

Because the two numbers are considered prime numbers and they don't have any other factors besides one and themselves.

Alex777 [14]4 years ago

3 0

Sometimes they don't have any other common factor besides one

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The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x? *

rjkz [21]

I think the answer is x=-3

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4 years ago

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?

bekas [8.4K]

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.

Isolate x in $\frac{1}{2}x-\frac{3}{4}y=\frac{11}{60}$

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

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

Learn more about System of linear Equations at:

#learnwithBrainly

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4 years ago

If 84 is divisible by 2, then 84 is an even number

RideAnS [48]

Answer:

Yes

Step-by-step explanation:

All even numbers are divisible by two.

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Step-by-step explanation:

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