All categories

3 years ago

Angela left for work at 8:30 a.m. She returned to school at 11:30 a.m. How long was Angela at work?

Mathematics

2 answers:

Dimas [21]3 years ago

8 0

Answer:

Angela was at work for 15 hrs.

nata0808 [166]3 years ago

7 0

Step-by-step explanation:

Since she was at work at 8:30 a.m and then she returned to school at 11:30 a.m she took 3 hours at work

11:30 a.m - 8: 30 a.m. = 3 hours of difference

You might be interested in

Simplify the expression: 25 - 3(5x - 6) - 22x

LenKa [72]

Answer:

− 37 x+ 43

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

write an equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4)

dimaraw [331]

The equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4) is $y - 3 = \frac{-7x}{2}+ \frac{21}{4}$

<h3>Solution:</h3>

Given that we have to write equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4)

Let us first find the slope of given line AB

The slope "m" of the line is given as:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Here the given points are A(-2,2) and B(5,4)

$\text {Here } x_{1}=-2 ; y_{1}=2 ; x_{2}=5 ; y_{2}=4$

$m=\frac{4-2}{5-(-2)}=\frac{2}{7}$

Thus the slope of line with given points is $\frac{2}{7}$

We know that product of slopes of given line and slope of line perpendicular to given line is always -1

$\begin{array}{l}{\text {slope of given line } \times \text { slope of perpendicular bisector }=-1} \\\\ {\frac{2}{7} \times \text { slope of perpendicular bisector }=-1} \\ \\{\text {slope of perpendicular bisector }=\frac{-7}{2}}\end{array}$

The perpendicular bisector will run through the midpoint of the given points

So let us find the midpoint of A(-2,2) and B(5,4)

The midpoint formula for given two points is given as:

$\text {For two points }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right), \text { midpoint } \mathrm{m}(x, y) \text { is given as }$

$m(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Substituting the given points A(-2,2) and B(5,4)

$m(x, y)=\left(\frac{-2+5}{2}, \frac{2+4}{2}\right)=\left(\frac{3}{2}, 3\right)$

Now let us find the equation of perpendicular bisector in point slope form

The perpendicular bisector passes through points (3/2, 3) and slope -7/2

The point slope form is given as:

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

$\text { Substitute } \mathrm{m}=\frac{-7}{2} \text { and }\left(x_{1}, y_{1}\right)=\left(\frac{3}{2}, 3\right)$

$y - 3 = \frac{-7}{2}(x - \frac{3}{2})\\\\y - 3 = \frac{-7x}{2}+ \frac{21}{4}$

Thus the equation in point-slope form for the perpendicular bisector of the segment with endpoints at A(-2,2) and B(5,4) is found out

7 0

4 years ago

Which shows the sides in order from longest to shortest? Line segment P Q, line segment R Q, line segment R P Line segment R Q,

viva [34]

Answer:

Step-by-step explanation:

4 0

3 years ago

I need help wish my Math homework

tatyana61 [14]

Ok so you have $685 plus an extra $85 for the installation. You have a total of $770. You divide this by two to find per year. It is $385 per year. Now divide that by twelve for the monthly cost and you get $32.08

8 0

3 years ago

Jared mows several lawns in his neighborhood and is paid a different amount per lawn. He decided to make a graph of how much mon

Tresset [83]

Answer: the false statement is c

Step-by-step explanation:

The graph of the amount earned for number of lawns mowed versus number of lawns mowed is sketched in the attached photo.

From the graph,

a) Money earned is graphed on the y-axis

b) The slope of the line can be used to estimate how much money Jared earns per lawn

d) Jared graphed the number of lawns mowed on the x-axis

The false statement is

c) Jared earns on average 14 dollars per lawn

7 0

3 years ago