Factor the following expression.

A total of 559 tickets were sold for the school play. They were either adult tickets or student tickets. There were 59 more stud

olga2289 [7]

Answer: The answer is 500 hope this helps!

Step-by-step explanation:

6 0

2 years ago

Divide: 4/15÷8/25. What is the answer?

dybincka [34]

4/15 = 0.267
8/25 = 0.32
0.267/0.32 = 0.834375

3 0

2 years ago

Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).

ale4655 [162]

Answer:

The required equation is:

$y = -\frac{3}{2}x+9$

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

$(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)$

We will find the slope of given line segment first

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}$

Let m_1 be the slope of perpendicular bisector then,

$m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}$

Now the mid-point

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)$

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

$y = m_1x+b$

Putting the value of slope

$y= -\frac{3}{2}x+b$

Putting the point (2,6) to find the y-intercept

$6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9$

The equation is:

$y = -\frac{3}{2}x+9$

7 0

2 years ago

Which are correct representations of the inequality –3(2x-5) < 5(2 - x)? Select two options.

Igoryamba

Answer: All the ways I solved this the answer is the same,

x>5 or (5,∞) That being the Interval Notation {The second one}

Step-by-step explanation:

3 0

3 years ago

Express 1 cm3 in m3 please help

Oksana_A [137]

Answer:

1E-6 m^3 or 0.000001 m^3

Step-by-step explanation:

1cm^3 = 1cm*1cm*1cm

1m^3 = 100cm*100cm*100cm = 1000000 cm^3

1/1000000 = 1E-6 m^3

Leave a like and mark brainliest if this helped

7 0

2 years ago