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3 years ago

A cook wants to make enough cookies for 150 students. The cookie recipe makes 1 dozen cookies. A dozen equals 12 cookies.

Mathematics

1 answer:

lesya692 [45]3 years ago

3 0

Answer:

12.5

Step-by-step explanation:

150 / 12 = 12.5

(I'm not the best at explaining-)

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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

The fraction 4/10 can be written as A) 0.0004 B) 0.004 C) 0.04 D) 0.4

lara31 [8.8K]

You can simplify the fraction to get 2/5. If you convert this into a decimal you will get 0.4, so D is your answer.

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The equation u=3z-2 gives the value of the output u as a function of the input z. Which is the dependent variable

frutty [35]

Answer:

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3 years ago

What percent of 50 is 5

lara [203]

Answer:

10%

Step-by-step explanation:

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In 91.72 which digit is in the tens place?

castortr0y [4]

Answer:

ten's go for the number 10

91=9-1 9 in 90 so its 9.

so therefore your answer is 9

Step-by-step explanation:

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