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3 years ago

Question What is the median of the first nine positive integers?

Mathematics

1 answer:

marin [14]3 years ago

3 0

Answer: 5

Step-by-step explanation:

1, 2, 3, 4, 5, 6, 7, 8, 9

5 is the middle number, or median of the numbers.

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Joseph served 18 customers in 42 minutes. Approximately how many customers would he serve in 2 hours if he continued at this rat

zhenek [66]

Okay so if he serves 18 customers in 42 minutes divide 18 by 42 and you get the amount of customers he serves per min which is 0.42857413 then multiply that by 120 since 2 hours add up to 120 minutes and you get 51.43

8 0

3 years ago

Factor the following:<br><br> 5∙(a+3)^2-(a+3)

Zanzabum

Answer:

(a+3)(5a+14)

Step-by-step explanation:

Factor the polynomial.

(a+3)(5a+14)

3 0

3 years ago

(1.)Find the slope of the line that passes through the given pair of points. (If an answer is undefined, enter UNDEFINED.) (?a +

jekas [21]

Answer:

1. The slope of the line is $m=\frac{-2b+3}{2a}$ .

2. The value of a is 18.

Step-by-step explanation:

If a line passes through two points, then the slope of the line is

$m=\frac{y_2-y_1}{x_2-x_1}$

(1)

It is given that the line passes through the points (-a + 3, b - 3) and (a + 3, -b). So, the slope of the line is

$m=\frac{-b-(b-3)}{a+3-(-a+3)}$

$m=\frac{-b-b+3}{a+3+a-3)}$

$m=\frac{-2b+3}{2a}$

The slope of the line is $m=\frac{-2b+3}{2a}$ .

(2)

If the line passing through the points (a, 1) and (6, 5), then the slope of the line is

$m_1=\frac{5-1}{6-a}=\frac{4}{6-a}$

If the line passing through the points (2, 7) and (a + 2, 1), then the slope of the line is

$m_2=\frac{1-7}{a+2-2}=\frac{-6}{a}$

The slopes of two parallel lines are same.

$m_1=m_2$

$\frac{4}{6-a}=\frac{-6}{a}$

On cross multiplication we get

$4a=-6(6-a)$

$4a=-36+6a$

$4a-6a=-36$

$-2a=-36$

Divide both sides by -2.

$a=18$

Therefore the value of a is 18.

8 0

3 years ago

Express 2log 4 + 3log 2 as a single logarithm

jeka94

Answer:

Step-by-step explanation:

WHEN ADDING TWO LOGS TO COMPRESS THEM YOU MULTIPLY THE TERMS

LOG(4^2)(2^3)

LOG(16)(8)

LOG(128)

3 0

3 years ago

Which expression is equivalent to -35 3/5

Alex787 [66]

You can look at -32 as being -2^5 so if you write (-2^5)^3/5 the 5's cancel out making it -2^3 which equals -8

5 0

3 years ago

Read 2 more answers