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Slav-nsk [51]
3 years ago
7

Find x. A. 4/6 B. 6 c. 4√3 D.3/2

Mathematics
1 answer:
lubasha [3.4K]3 years ago
7 0
The answer is b sorry if I’m incorrect though
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Solving Rational equations. LCD method. Show work. Image attached.
Ugo [173]

Answer:

k=\frac{1}{2}

Step-by-step explanation:

The given rational equation is

\frac{5k}{k+2}+\frac{2}{k}=5

The Least Common Denominator is

k(k+2)

Multiply each term by the LCD.

k(k+2)\times \frac{5k}{k+2}+k(k+2)\times \frac{2}{k}=5k(k+2)

Simplify;

k\times \frac{5k}{1}+(k+2)\times \frac{2}{1}=5k(k+2)

\Rightarrow k(5k)+2(k+2)=5k(k+2)

Expand;

\Rightarrow 5k^2+2k+4=5k^2+10k

Group similar terms;

\Rightarrow 5k^2-5k^2+2k-10k=-4

\Rightarrow -8k=-4

Divide by -8.

k=\frac{1}{2}

5 0
3 years ago
A medical device company knows that the percentage of patients experiencing injection-site reactions with the current needle is
mina [271]

Answer:

0.4970

Step-by-step explanation:

I might be wrong

6 0
3 years ago
Joe drove 345 miles on 25 gallons of gas What was his average miles per gallon?
hichkok12 [17]

Answer:

13.8 miles a gallon

Step-by-step explanation:

I think this because 345 divided by 25 equals 13.8 which would mean 13.8 miles for every gallon

7 0
3 years ago
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y = A system of equations. y equals StartFraction one-half EndFraction x minus 6. x equals negative 4.x – 6 x = –4 What is the s
tatiyna

Answer: (-4,-8)

Step-by-step explanation: I got a 100% on the quiz

8 0
3 years ago
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What is the angle measure of an arc bounding sector with an area of 5pie square miles?
Snowcat [4.5K]

if the diameter is 20, the its radius must be half that or 10.

\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=5\pi \\ r=10 \end{cases}\implies \begin{array}{llll} 5\pi =\cfrac{\theta \pi (10)^2}{360}\implies 5\pi =\cfrac{5\pi \theta }{18} \\\\\\ \cfrac{5\pi }{5\pi }=\cfrac{\theta }{18}\implies 1=\cfrac{\theta }{18}\implies 18=\theta \end{array}

8 0
2 years ago
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