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3 years ago

6

The ratio of girls to boys in a student basketball league is 5:6. Juan says that there must be exactly 11 students in the league

. Is Juan's statement correct? Explain your answer.

1 answer:

Nikitich [7]3 years ago

4 0

Answer:

She is correct.

Step-by-step explanation:

5:6 means that you add 5 + 6 = 11 which means that the answer is 11.

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ANSWER

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EXPLANATION

We want to use the two points to form a linear equation in slope-intercept form.

That is in the form:

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To do this, we first find the slope by using formula:

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where (x1, y1) = (3, 10)

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So, we have that:

$\begin{gathered} m\text{ = }\frac{13\text{ - 10}}{6\text{ - 3}} \\ m\text{ = }\frac{3}{3} \\ m\text{ = 1} \end{gathered}$

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Now, we use the point-slope formula to find the equation. That is:

$\begin{gathered} y-y_1=m(x-x_1) \\ \Rightarrow\text{ y - 10 = 1(x - 3)} \\ y\text{ - 10 = x - 3} \\ =>\text{ y = x - 3 + 10} \\ y\text{ = x + 7} \end{gathered}$

That is the answer.

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