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adelina 88 [10]

3 years ago

14

A work-study job in the library pays $10.75/ hr and a job in the tutoring center pays $16.25/hr. How long would it take for a tu

tor to make over $500 more than a student working in the library? Round to the nearest hour.

1 answer:

patriot [66]3 years ago

3 0

Answer:

31Hrs

Step-by-step explanation:

this is because you get 16 dollars and 25 cents for one hour and so you want to know how many hours it takes to make 500 you divide and will get approximately 30.76 and since it asks you to round then it will be 31.

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Delvig [45]

X could either be 4 or 5, depending on which x the question asks. If you have to chose one answer go with 5 because it's associated with the y.

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(0, -2) is a solution of the equation 2x - 3y = 6. true or false

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Answer:

It is a solution of the ordered pair.

Step-by-step explanation:

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What are the coordinates of the centroid of a triangle with vertices A(−3, 1) , B(1, 6) , and C(5, 2) ? Enter your answer in the

kirza4 [7]

<u>ANSWER</u>: The centroid is (1,3)

<u>Explanation:</u>

The centroid is the intersection of the medians of the triangle.

So we need to find the equation of any two of the medians and solve simultaneously.

Since the median is the straight line from one vertex to the midpoint of the opposite side, we find the midpoint of any two sides.

We find the midpoint of AC using the formula;

$N=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

$N=(\frac{-3+5}{2}, \frac{1+2}{2})$

$N=(\frac{2}{2}, \frac{3}{2})$

$N=(1, \frac{3}{2})$

The equation of the median passes through $B(1,6)$ and $N=(1, \frac{3}{2})$ .

This line is parallel to the y-axis hence has equation

$x=1$ -------first median.

We also find the midpoint M of BC.

$M=(\frac{1+5}{2}, \frac{6+2}{2})$

$M=(\frac{6}{2}, \frac{8}{2})$

$M=(3, 4)$

The slope of the median, AM is

$Slope_{AM}=\frac{4-1}{3--3}$

$Slope_{AM}=\frac{3}{6}$

$Slope_{AM}=\frac{1}{2}$

The equation of the median AM is given by;

$y-y_1=m(x-x_1)$

We use the point M and the slope of AM.

$y-4=\frac{1}{2}(x-3)$

$2y-8=(x-3)$

$2y-x=-3+8$

$2y-x=5$ -------Second median

We now solve the equation of the two medians simultaneously by putting $x=1$ in to the equation of the second median.

$2y-1=5$

$2y=5+1$

$2y=6$

$y=3$

Hence the centroid has coordinates $(1,3)$

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Gwar [14]

Answer

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Step-by-step explanation:

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7 0

3 years ago