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algol [13]
3 years ago
14

Plz help me with this

Mathematics
2 answers:
forsale [732]3 years ago
5 0

Answer:

\frac{31x}{30}

Step-by-step explanation:

Before adding we require the fractions to have a common denominator

The lowest common denominator of 2, 5 and 3 is 30, thus

\frac{15x}{15(2)} + \frac{6x}{6(5)} + \frac{10x}{10(3)}

= \frac{15x}{30} + \frac{6x}{30} + \frac{10x}{30}

Add the numerators leaving the denominator

= \frac{15x+6x+10x}{30} = \frac{31x}{30}

wariber [46]3 years ago
3 0

Answer: \bold{c)\quad \dfrac{31x}{30}}

<u>Step-by-step explanation:</u>

\dfrac{x}{2}+\dfrac{x}{5}+\dfrac{x}{3}\\\\\text{The LCD of 2, 5, and 3 is }2\cdot 5\cdot 3=30\\\text{Multiply each term so their denominator is 30:}\\\\\\\dfrac{x}{2}\bigg(\dfrac{15}{15}\bigg)+\dfrac{x}{5}\bigg(\dfrac{6}{6}\bigg)+\dfrac{x}{3}\bigg(\dfrac{10}{10}\bigg)\\\\\\=\dfrac{15x}{30}+\dfrac{6x}{30}+\dfrac{10x}{30}\\\\\\=\dfrac{15x+6x+10x}{30}\\\\\\=\large\boxed{\dfrac{31x}{30}}

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Multiply 3059 by 2 tens
aleksley [76]
It would be 61180 because u need to multiply 3059x20 =61180
4 0
3 years ago
A man notices that a tank is half full. After emptying 600 litres from the tank, that it is now one-third full. How much does th
enot [183]
One half is equal to 3/6.
One third is equal to 2/6.

After removing 600 litres from the tank, there is a decrease from 3/6 to 2/6

3/6-2/6=1/6

600 litres is 1/6 of the tank. Multiply by 6 to get the capacity of a full tank.

600*6=3600

The tank can hold 3600 litres.
6 0
3 years ago
NEED HELP ASAP PLEASE!!
qwelly [4]

Option D:

$y=\frac{5x-2}{x}

Solution:

Given function:

$y=\frac{-2}{x-5}

To find the inverse of the function.

<u>Inverse of a function:</u>

<em>If a function f(x) is mapping x to y, then the inverse function of f(x) maps y back to x.</em>

$y=\frac{-2}{x-5}

Interchange the variables x and y.

$x=\frac{-2}{y-5}

Now, solve for y.

Multiply both sides by (y - 5).

$x(y-5)=-\frac{2}{y-5}(y-5)

Cancel the common factors, we get

x(y-5)=-2

Divide by x on both sides.

$y-5=-\frac{2}{x}

Add 5 on both sides.

$y=-\frac{2}{x}+5

$y=-\frac{2}{x}+\frac{5}{1}

To make the denominator same, multiply the 2nd term by \frac{x}{x}.

$y=-\frac{2}{x}+\frac{5x}{x}

$y=\frac{-2+5x}{x}

$y=\frac{5x-2}{x}

Option D is the correct answer.

8 0
3 years ago
Multiply the polynomials (x+4)(x^2-5x+3)
tatiyna
(<span>4x2</span><span> – </span><span>4x</span><span> – </span>7)(x<span> + </span>3)<span> 
</span>  =  (<span>4x2</span><span> – </span><span>4x</span><span> – </span>7)(x) + (<span>4x2</span><span> – </span><span>4x</span><span> – </span>7)(3)<span> 
</span><span>  =  </span><span>4x2</span>(x<span>) – </span><span>4x</span>(x<span>) – </span>7(x<span>) + </span><span>4x2</span>(3<span>) – </span><span>4x</span>(3<span>) – </span>7(3)<span> 
</span><span>  =  4x3 – 4x2 – 7x + 12x2 – 12x – 21</span><span> 
</span><span>  =  4x3 – 4x2 + 12x2 – 7x – 12x – 21</span><span> 
</span><span>  =  4x3 + 8x2 – 19x – 21</span>
6 0
3 years ago
Read 2 more answers
|a|-3/4=-5/8 Solve and show your work?
Marta_Voda [28]

Answer:

{-1/8, 1/8}

Step-by-step explanation:

Solve |a|-3/4=-5/8 for |a|:  Add 3/4 to both sides of this equation, obtaining:

|a| - 6/8 + 6/8 = -5/8 + 6/8, or |a| = 1/8.  This absolute value function has two components:

a = 1/8 and a = -1/8.


7 0
3 years ago
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