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3 years ago

A bookshelf at a library holds 156 books. There are 15 bookshelves in the children's

Mathematics

2 answers:

Leokris [45]3 years ago

8 0

Answer:

Step-by-step explanation:

i just divided the two

Alona [7]3 years ago

4 0

Answer:

2,340

Step-by-step explanation:

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Determine the slope of the line that has the following coordinates: (5, 9)(11, - 3)

AlladinOne [14]

Answer:

$x_1 = 5, x_2 =11, y_1 =9, y_2 = -3$

The slope can be founded with this formula:

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

And replacing we got:

$m =\frac{-3 -9}{11-5}= -2$

And the best answer for this case would be :

$m=-2$

Step-by-step explanation:

For this case we have the following two points given:

$x_1 = 5, x_2 =11, y_1 =9, y_2 = -3$

The slope can be founded with this formula:

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

And replacing we got:

$m =\frac{-3 -9}{11-5}= -2$

And the best answer for this case would be :

$m=-2$

7 0

3 years ago

Fifty-five percent of the pupils in a class are

tatyana61 [14]

Answer: it’s 55/100 percent

4 0

3 years ago

1. S(–4, –4), P(4, –2), A(6, 6) and Z(–2, 4) a) Apply the distance formula for each side to determine whether SPAZ is equilatera

Aleksandr [31]

Answer:

a) SPAZ is equilateral.

b) Diagonals SA and PZ are perpendicular to each other.

c) Diagonals SA and PZ bisect each other.

Step-by-step explanation:

At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.

a) If figure is equilateral, then SP = PA = AZ = ZS:

$SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}$

$SP \approx 8.246$

$PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}$

$PA \approx 8.246$

$AZ =\sqrt{(-2-6)^{2}+(4-6)^{2}}$

$AZ \approx 8.246$

$ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}$

$ZS \approx 8.246$

Therefore, SPAZ is equilateral.

b) We use the slope formula to determine the inclination of diagonals SA and PZ:

$m_{SA} = \frac{6-(-4)}{6-(-4)}$

$m_{SA} = 1$

$m_{PZ} = \frac{4-(-2)}{-2-4}$

$m_{PZ} = -1$

Since $m_{SA}\cdot m_{PZ} = -1$ , diagonals SA and PZ are perpendicular to each other.

c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:

$M_{SA} = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot A(x,y)$

$M_{SA} = \frac{1}{2}\cdot (-4,-4)+\frac{1}{2}\cdot (6,6)$

$M_{SA} = (-2,-2)+(3,3)$

$M_{SA} = (1,1)$

$M_{PZ} = \frac{1}{2}\cdot P(x,y) + \frac{1}{2}\cdot Z(x,y)$

$M_{PZ} = \frac{1}{2}\cdot (4,-2)+\frac{1}{2}\cdot (-2,4)$

$M_{PZ} = (2,-1)+(-1,2)$

$M_{PZ} = (1,1)$

Then, the diagonals SA and PZ bisect each other.

8 0

2 years ago

The sum of 5 consecutive numbers is 200. What is the smallest number?

Vikentia [17]

Answer:

Hey!

Your answer is 44!

Step-by-step explanation:

Here's how...

x+(x+2)+(x+4)+(x+6)+(x+8)=200

5x+20=200 (minus 20 on both sides to get 5x by itself)

5x=180 (divide both sides by 5 to get just x)

x=36

5th number - x+8=36+8=44 (simple substitution and addition)

I HOPE THIS HELPS!

6 0

3 years ago

Read 2 more answers

Six students eat 6 apples in 33 seconds. How long will it take nine students to eat 19 apples, if they don't cut apples into par

stepladder [879]

Answer: 104.5 seconds

Step-by-step explanation:

Hi, to answer this question we have to apply proportions:

Six students eat 6 apples in 33 seconds.

The proportion is: number of apples eaten /time

6 apples /33 seconds = 6/33

For 19 apples:

19 apples / x seconds =19/x

6/33 = 19/x

Solving for x:

x = 19 / ( 6/33)

x = 104.5 seconds

Feel free to ask for more if needed or if you did not understand something.

3 0

3 years ago