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3 years ago

Please help me with this

Mathematics

1 answer:

STatiana [176]3 years ago

8 0

Answer:

Option 2 Andrew and Jason rode bikes to the park after Andrew finished his morning chores

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7Bx%2B1%7D%20%2B%5Cfrac%7B3%28x-1%29%7D%7Bx%7D%20%3D5" id="TexFormula1" title=

Luden [163]

Answer:

$x=-3$

Step-by-step explanation:

Given equation:

$\dfrac{2x}{x+1}+\dfrac{3(x+1)}{x}=5$

Make the denominators the same:

$\implies \dfrac{2x}{x+1} \cdot\dfrac{x}{x}+\dfrac{3(x+1)}{x} \cdot \dfrac{x+1}{x+1}=5$

$\implies \dfrac{2x^2}{x(x+1)}+\dfrac{3(x+1)^2}{x(x+1)} =5$

Combine the fractions:

$\implies \dfrac{2x^2+3(x+1)^2}{x(x+1)} =5$

Multiply both sides by x(x+1):

$\implies 2x^2+3(x+1)^2 =5x(x+1)$

Expand the brackets:

$\implies 2x^2+3(x^2+2x+1) =5x^2+5x$

$\implies 2x^2+3x^2+6x+3 =5x^2+5x$

Combine like terms:

$\implies 5x^2+6x+3=5x^2+5x$

Subtract 5x² from both sides:

$\implies 6x+3=5x$

Subtract 5x from both sides:

$\implies x+3=0$

Subtract 3 from both sides:

$\implies x=-3$

Learn more about algebraic fractions here:

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5 0

2 years ago

Why are you able to find a greastest common factor but not a greastest common multiple?

matrenka [14]

Numbers go on forever. you cannot tell what the largest number in the universe is

6 0

4 years ago

What is the world longest building

LenKa [72]

Burj Khalifa in Dubai

8 0

3 years ago

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2 Quick algebra 1 question for 50 points!

SVETLANKA909090 [29]

Yes

Direct variation because Time increases cupcakes increases and vice versa

Constant of proportionality represents the amount of time required per cupcakes

Yes we can find it

We have to check the x and y values of the ordered pairs (x,y)

If y is decreasing with respect to increase in x then it's inverse variation

3 0

2 years ago

If you have 3/12 of an orange, how many fourths do you have?

solniwko [45]

Answer:

1/4

Step-by-step explanation:

you would have one fourth because you divide 3 and 12 by 4 and you get 1/4

3/3=1

12/3=4

7 0

4 years ago

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