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solmaris [256]
3 years ago
11

Rita has 507 books stored on 39 shelves. The same number of books are on each shelf. How many books are on each shelf?

Mathematics
1 answer:
Sliva [168]3 years ago
5 0

Answer:

19773

Step-by-step explanation:

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Layla bought a pencil for $1.25, a pen for $2.25, and three erasers for $0.45 each. She gave the cashier $10 for the items. How
snow_lady [41]

Answer:

1.25+2.25+(o.45 x 3)

=6.95

10-6.95

= got back $3.05

Step-by-step explanation:

4 0
3 years ago
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How do I find the equation of the perpendicular bisector between (-2,5) and (2,-1)?
Arturiano [62]

Answer:

y =  \frac{2}{3} x + 2

Step-by-step explanation:

Start by finding the slope of the given line.

\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }

Slope of given line

=  \frac{5 - ( - 1)}{ - 2 - 2}

=  \frac{5 + 1}{ - 4}

=  \frac{6}{ - 4}

=  -  \frac{3}{2}

A perpendicular bisector cuts through the line at its midpoint perpendicularly.

The product of the slopes of two perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

-  \frac{3}{2} m =  - 1

m =  - 1 \div ( -  \frac{3}{2} )

m =  - 1 \times ( -  \frac{2}{3} )

m =  \frac{2}{3}

y =  \frac{2}{3}x  + c, where c is the y-intercept.

To find the value of c, we need to substitute a pair of coordinates that lies on the perpendicular bisector into the equation. Since the perpendicular bisector passes through the midpoint of the given line, we can use the midpoint formula to find the coordinates.

\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1  + y_2}{2} )}

Midpoint of given line

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

=( \frac{0}{2} , \frac{4}{2} )

= (0, 2)

y =  \frac{2}{3} x + c

When x= 0, y= 2,

2= ⅔(0) +c

2= 0 +c

c= 2

Thus, the equation of the perpendicular bisector is y =  \frac{2}{3} x + 2.

7 0
3 years ago
PLS HELP!!
irina [24]
$789.18 * 0.062 = $48.93
answer is <span>48.93 (first choice)</span>
8 0
3 years ago
Read 2 more answers
Max and Sasha exercise a total of 20 hours each week. Max exercises 15 hours less than 4 times the
navik [9.2K]

Answer:

Max exercises 13 hours a week, and Sasha 7.

Step-by-step explanation:

To find the number of hours each of them exercises during the week, we solve the system of equations.

In the second equation:

x = 4y - 15

Replacing in the first equation:

x + y = 20

4y - 15 + y = 20

5y = 35

y = \frac{35}{5}

y = 7

So Sasha exercises 7 hours per week.

Max:

x + y = 20

x + 7 = 20

x = 13

Max exercises 13 hours a week.

6 0
3 years ago
A number minus 8 is at least 14
Serhud [2]

Answer:

22

Step-by-step explanation:

just add 8 to 14, then there is your number that would equal 14 if 8 was subtracted from it

6 0
3 years ago
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