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coldgirl [10]
3 years ago
6

Rearrange the equation so u is the independent variable. -12u+13=8w-3 w= ___

Mathematics
2 answers:
Rama09 [41]3 years ago
5 0

Answer:

w = \frac{-12u+16}{8}

Step-by-step explanation:

Reverse the equation placing w on the left side

8w - 3 = - 12u + 13 ( add 3 to both sides )

8w = - 12u + 16 ( divide both sides by 8 )

w = \frac{-12u+16}{8}


suter [353]3 years ago
5 0

Answer:

w = \frac{4-3u}{2}

Step-by-step explanation:

Given equation,

-12u + 13 = 8w - 3

For making u is as an independent variable we need to isolate w,

Add 3  on both sides,

-12u + 13 + 3 = 8w

-12u + 16 = 8w

Divide both sides by 8,

\frac{-12u+16}{8}=w

\frac{4(-3u+4)}{8}=w

\frac{-3u+4}{2}=w

\implies w = \frac{4-3u}{2}

Which is the required equation.

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Pls help in a middle of an exam
KIM [24]

Answer:

\frac{2x^2+4x-9}{(2x-3)(2x+3)(x-1)}

Step-by-step explanation:

\frac{2x}{4x^2-9} + \frac{3}{2x^2+x-3} can be simplified to:
\frac{2x}{(2x-3)(2x+3)}+\frac{3}{(2x+3)(x-1)}

Make them have common denominators so:
\frac{(2x)(x-1) +3(2x-3)}{(2x-3)(2x+3)(x-1)}

Simplify:
\frac{2x^2-2x+6x-9}{(2x-3)(2x+3)(x-1)} = \frac{2x^2+4x-9}{(2x-3)(2x+3)(x-1)}

I don't think you can simplify that fraction further so that's the answer.

3 0
2 years ago
a un baile asistieron 270 personas.si los boletos de costaban 100 pesos y los de dama 80 pesos y se recaudaron 24 800 pesos por
ser-zykov [4K]
The question in English
<span>A dance was attended by 270 people. If the gentlemen tickets cost 100 pesos and the lady tickets 80 pesos and 24800 pesos were collected for all the tickets. How many women and how many men attended the dance?

let
x---------> the number of men
y--------> the number of women

we know that
x+y=270----> x=270-y-----> equation 1
100x+80y=24800-------> equation 2
substitute equation 1 in equation 2
100*[270-y]+80y=24800----> 27000-100y+80y=24800
20y=2200-----> y=110
x=270-y----> x=270-110----> x=160

the answer is
the number of men ---> 160
the number of women----> 110

the answer in Spanish

</span>hagamos
x--------->la cantidad de hombres
y--------->la cantidad de mujeres

Sabemos que
x+y=270----> x=270-y-----> ecuacion 1
100x+80y=24800-------> ecuacion 2
sustituimos la ecuacion 1 en la ecuacion 2
100*[270-y]+80y=24800----> 27000-100y+80y=24800
20y=2200-----> y=110
x=270-y----> x=270-110----> x=160

La respuesta es
la cantidad de hombres es 160
la cantidad de mujeres es 110
4 0
3 years ago
Fine the exact distance between the line 6x-y=-3 and the point (6,2). Show your work. Explain your answer.
AVprozaik [17]

Answer:

\sqrt{37} units

Step-by-step explanation:

If we draw a perpendicular from point (6,2) on the line 6x - y = - 3, then we have to find the length of the perpendicular.  

We know the formula of length of perpendicular from a point (x_{1}, y_{1} ) to the straight line ax + by + c = 0 is given by  

\frac{|ax_{1} + by_{1} +c |}{\sqrt{a^{2}+b^{2}}}

Therefore, in our case the perpendicular distance is  

\frac{|6(6)-2+3|}{\sqrt{6^{2} +(-1)^{2} } } = \frac{37}{\sqrt{37} } = \sqrt{37}  units. (Answer)

6 0
4 years ago
In a village, there was an epidemic and the population decreased by 10%. If there were only 1800 people left in the village, wha
tester [92]

\bold{\boxed{\huge{\blue{\underline{Answer }}}}}

\bold{\underline{ Given :- }}

\sf{The\: population\: is\: decreased \:by\: 10 percent  }

\sf{There\: were \: only \: 1800 \: people \: left}

\bold{\underline{ To\: Find :- }}

\sf{we \: have \: to \: find\: original \: population? }

\bold{\underline{ Let's \: Begin :- }}

\sf{Let \: the \: total \:  population\: be \: x }

\sf{\underline{ Therefore }}

\sf{According \: to \: the \: question }

\sf{ x - 10/100 = 1800 }

\sf{ 100x - 10/100 = 1800}

\sf{ 100x - 10 = 1800 × 100}

\sf{100x - 10 = 180000}

\sf{ 100x = 180000 + 10}

\sf{ x = 180010/100}

\sf{ x = 1800.1 }

\bold{\pink{Hence , The\: original \:population \:of \: the\: village \:is \:1800.1 }}

7 0
3 years ago
Simplify 8(x + 3) - 2x.<br><br>Answer options:<br>A) 6 x + 3<br>B) 7 x<br>C) 6 x + 24​
s344n2d4d5 [400]

Answer:

C

Expand the bracets then simplfy and then factorise

4 0
2 years ago
Read 2 more answers
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