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Mariana [72]
2 years ago
14

Simplify 30[2 x (16/8)]

Mathematics
1 answer:
ivolga24 [154]2 years ago
6 0

Answer:

120x

Have a great day and night!!!!

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PLEASE HELP (30 POINTS) Solve the rational equation x/3 = x^2/x + 5 , and check for extraneous solutions.
anygoal [31]

Option C: x=0 and x=\frac{5}{2} are the solutions.

Explanation:

The equation is \frac{x}{3} =\frac{x^{2} }{x+5}

We shall determine the value of x, by simplifying the equation.

$\begin{aligned} x(x+5) &=3 x^{2} \\ x^{2}+5 x &=3 x^{2} \\ 2 x^{2}-5 x &=0 \\ x(2 x-5) &=0 \end{aligned}$

Thus, x=0 and x=\frac{5}{2} are the solutions.

Now, let us check whether the solutions are extraneous solutions.

Let us substitute x=0 in the original equation to check whether both sides of the equation are equal.

\begin{aligned}&\frac{0}{3}=\frac{0^{2}}{0+5}\\&0=\frac{0}{5}\\&0=0\end{aligned}

Thus, both sides of the equation are equal.

Hence x=0 is a true solution.

Now, Let us substitute x=\frac{5}{2} in the original equation to check whether both sides of the equation are equal.

\begin{aligned}\frac{\left(\frac{5}{2}\right)}{3} &=\frac{\left(\frac{5}{2}\right)^{2}}{\left(\frac{5}{2}\right)+5} \\\frac{5}{6} &=\frac{\left(\frac{25}{4}\right)}{\left(\frac{15}{2}\right)} \\\frac{5}{6} &=\frac{5}{6}\end{aligned}

Thus, both sides of the equation are equal.

Hence, x=\frac{5}{2} is a true solution.

Thus, solutions are not extraneous.

Hence, Option C is the correct answer.

8 0
3 years ago
9, 14, 7, 9, 3, 12, 5,4
Rus_ich [418]

Answer:

mean: 65

median: 9

Step-by-step explanation:

You take all the numbers you have and add them up. Make it simple by adding smaller numbers together. Then once you have the total which is 65 you divide it by the total of numbers you have and then round because after dividing you get 8.125 and the safest way to round is to 9.

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Please help due today
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Step-by-step explanation:

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The first one: The formula for a trapezoid is 1/2 h(b1+ b2) or if you split it up do 1/2 the base times the height on the triangle, then do length times width on the rectangle.
The second one: Just put and imaginary line down the sides of the H leaving the middle. The dimensions of the middle are, 3 by 4. The dimensions of the two sides are 12 by 3. Just multiply length times width, and for the two long sides... multiply by two. You should get 72 for it. Just add twelve to that, and you are good to go!
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Write down the letter of the shape that is congruent to the shaded shaPe
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E looks like it is most congruent

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