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nikitadnepr [17]
3 years ago
12

What is the least common denominator of the fraction 3 x over x plus 1 plus the fraction x plus 1 over 2 x plus the fraction 5 o

ver x
Mathematics
1 answer:
Hoochie [10]3 years ago
3 0
3x/(x+1) + (x+1)/(2x) + (5/x)

To find the least common denominator, we multiply the denominators that cannot factor into eachother. x, the denominator in 5/x, fits into 2x, so we do not need to multiply this number.
Therefore, the least common denominator is:
2x(x+1) 

The first term will be multiplied by 2x/2x
The second term will be multiplied by (x+1)/(x+1)
The third term will be multiplied by 2(x+1)
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What is the volume of the entire figure?<br><br> ____cm3
adelina 88 [10]

Answer:

180cm3

Step-by-step explanation:

4x12x3=144

2x2x9=36

144+36=180cm3

4 0
3 years ago
If AD=20 and AC=3x+4, find the value of x. Then find AC and DC.<br><br> I don't understand.
Fofino [41]
<span>Using the information we have 3x+4=40 Do the same to each side of the equation to eliminate for x. 3x+4=40 Minus 4 from each side 3x=40-4 3x=36 Divide 3 from each side x=36/3 x=12 AC=3x+4 insert the value of x 3(12)+4=40 AC=40 AD=20</span>
5 0
3 years ago
North lake High school has two lunch periods.... select the true statement
Snowcat [4.5K]

Answer: D

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2. X 2 6x – 4y = –10 one
nordsb [41]

The system of equations provides a unique solution(one solution) at (-0.6, 1.6).

<h2>Given to us,</h2>
  1. y=\dfrac{2}{3}x+2
  2. 6x-4y=-10

<h3>Equation 2</h3>

As we already have the value of y from equation 1, substitute its value in equation 2,

6x-4y=-10

6x-4(\dfrac{2}{3}x+2)=-10

6x-\dfrac{8}{3}x-8=-10

\dfrac{6x}{1}-\dfrac{8}{3}x=-10+8

\dfrac{6x\times 3}{1\times 3}-\dfrac{8}{3}x=-2

\dfrac{18x-8x}{3}=-2

10x=-6\\

x=\dfrac{-6}{10} \\\\x=-0.6

<h3>Equation 1,</h3>

y=\dfrac{2}{3}x+2

substitute the value of x in equation 1,

y=\dfrac{2}{3}(\dfrac{-6}{10})+2\\\\y = \dfrac{-2}{5}+2\\\\y= \dfrac{-2+10}{5}\\\\y = \dfrac{8}{5}\\\\y=1.6

As we can see the system of equations provides a unique solution(one solution) at (-0.6, 1.6).

Learn more about the system of equations:

brainly.com/question/12895249

3 0
3 years ago
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 3x = 24
Sophie [7]
We have that
x²<span> + 3x = 24
</span><span>Group terms that contain the same variable
</span>(x² + 3x) = 24
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x² + 3x+2.25) = 24+2.25

Rewrite as perfect squares

(x+1.5)² = 26.25
(+/-)[x+1.5]=5.12
(+)[x+1.5]=5.12----> x=5.12-1.5--->  x=3.62
(-)[x+1.5]=5.12-----> x=-1.5-5.12---> x=-6.62

the answer is
<span>3.62, –6.62</span>
5 0
3 years ago
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