3. The number of sheets of paper available for making notebooks is 78,000. Each
sheet of paper makes 8 pages of a notebook. If each notebook contains 192
pages, find the number of notebooks that can be made from the paper available?​

Answer:

-500

Step-by-step explanation:

2300-6500-2500--1100--600-150-250-+600

Answer:

y = -⅓ X + 5/9

slope = - ⅓

...

Answer:

slope intercept form is: (That is in the first pic)

y= - 1/3x + 5/9

slope = - 1/3

Step-by-step explanation:

See image below:) Hope this helps

Answer: Both x and y are [tex]\frac{\sqrt{2}}{2}[/tex] which is the same as [tex]\frac{1}{\sqrt{2}}[/tex]

In other words, the point [tex]\left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right)[/tex] is on the unit circle for the angle pi/4 radians. This point is equivalent to [tex]\left( \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)[/tex]

==============================================

Explanation:

The angle pi/4 radians is equivalent to 45 degrees. Draw out a 45-45-90 triangle with hypotenuse 1, and you'll find the congruent legs are each [tex]\frac{1}{\sqrt{2}}[/tex] units long (apply the pythagorean theorem). If you apply the sine and cosine ratios, you'll get the answer shown above.

Recall that

and also

The pythagorean theorem is a^2+b^2 = c^2.

Answer:

[tex]m = \frac{4}{7}\\[/tex]

Step-by-step explanation:

Given

The attached graph

Required

The constant rate of change (m)

This is calculated as:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

From the graph, we have:

[tex](x_1,y_1) = (3,4)[/tex]

[tex](x_2,y_2) = (10,8)[/tex]

So, the formula becomes:

[tex]m = \frac{8-4}{10 - 3}[/tex]

[tex]m = \frac{4}{7}\\[/tex]

Answer:

51

Step-by-step explanation:

The problem states "the Panthers won 40 games out of 17 games"

It is impossible to win more games than the number of games.

Perhaps the problem should state "the Panthers won 17 games out of 40 games"

If this is correct, then we can answer the question with a proportion.

17 wins is to 40 games as x wins is to 120 games

17/40 = x/120

40 * x = 17 * 120

Divide both sides by 40.

x = 17 * 3

x = 51

Answer: 51

Answer:0.2, 0.4, 3/5

Step-by-step explanation:

Answer:

6x+2

Step-by-step explanation:

Answer:

15/7

Step-by-step explanation:

Add the numbers put them over 7

The probability that the sum of the numbers on the balls drawn is 7 from total 5 balls without replacement =  [tex]\frac{1}{5}[/tex]

Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event. Probability measures the chance of an event occurred and is equal to the number of favorable events divided by the total number of events. The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.

According to the question

Five balls, numbered 1, 2, 3, 4, 5, are placed in a bin.

Two balls are drawn at random without replacement.

i.e

Total possibility for drawn balls without replacement = [tex]P_{r} ^{n}[/tex]

where n = 5

r = 2

[tex]P_{r} ^{n}[/tex] = [tex]\frac{n!}{(n-r)!}[/tex]

[tex]P_{2} ^{5}[/tex] = [tex]\frac{5!}{(5-2)!}[/tex]  

[tex]P_{2} ^{5}[/tex] = [tex]\frac{5*4*3!}{(3)!}[/tex]

[tex]P_{2} ^{5}[/tex] = 20

Now,  the probability that the sum of the numbers on the balls drawn is 7 is

(2,5) (5,2) (3,4) (4,3) = 4 possibilities in total

Therefore,

Probability = [tex]\frac{Number of favorable outcomes}{Total outcomes}[/tex]

                   = [tex]\frac{4}{20}[/tex]

                   = [tex]\frac{1}{5}[/tex]

Hence, the probability that the sum of the numbers on the balls drawn is 7 from total 5 balls without replacement =  [tex]\frac{1}{5}[/tex]

To know more about probability  here:

https://brainly.com/question/11234923

#SPJ2

Answer:

400 cu cm

Step-by-step explanation:

Volume = Length · width · height /3

Volume = 10 · 10 · 12 / 3

Volume = 1,200 / 3

Volume = 400 cu cm

Answer:

Step-by-step explanation:

if you set (x+5)(x-1) to equal zeros, you would get x+5=0 and x-1=0. then you would subtract 5 and 1 to get x=-5 and x=1

Answer:

thats is the answer write it yourself and learn math

Answer:

Ashe will run 6 miles

Step-by-step explanation:

4/6 x 3/1 = 12/6 divided by 6 (for numerator and denominator) = 6/1 = 6

9514 1404 393

Answer:

  8. A = {Delaware, New Jersey, Pennsylvania}

  9. |B| = 3

Step-by-step explanation:

8. Dates prior to 1 Jan 1788 are those in 1787. The three states admitted in 1787 are listed as Delaware, Pennsylvania, New Jersey. It is usually convenient to list elements of a set in lexicographical order:

  A = {Delaware, New Jersey, Pennsylvania}

__

9. The months June and July appear 3 separate times on the list, so there would be 3 elements in the set B.

  |B| = 3

Answer:

1

Step-by-step explanation:

x-9=-8

x=-8+9

x=1

Surface Area=2400

Step-by-step explanation:

To find the surface area we need to use this formula: Surface Area=6a^2

Where a is the side lengths that are being provided by the cube, now we plug in 20 as a into the formula.

Surface Area=6(20)^2

Surface Area=6(400)

Surface Area=2,400

Hope I helped, have a nice day :)

Answer:

2400

Step-by-step explanation:

[tex]SA = 2(lw + lh + wh) = 2(20^2 + 20^2 + 20^2) = 2(3 * 20^2) = 2(3 * 400) = 2 * 1200 = 2400[/tex]

Answer:

1:3

Step-by-step explanation:

7:21

1:3

so , 7:21 is 1:3.

Answer:

x = 3.2

Step-by-step explanation:

Since they are similar the ratio of the side lengths must be the same

Using the bottom side and the unknown side from the left figure and the right figure

5            4

----- = --------

4            x

Using cross products

5x = 4*4

5x = 16

Divide by 5

x = 16/5

x =3.2

Answer:

[tex]x=\sqrt{5}i,\:x=-\sqrt{5}i[/tex]

Answer:

1. 172 cm²

2. 226.56 cm²

3. 336 cm²

4. 284 cm²

Step-by-step explanation:

which one ? all ?

a surface area of an object is always the sum of the individual shapes areas on its surface.

1. 6 rectangles (length×width)

2 rectangles of 2×8 = 16 cm²

32 cm²

2 rectangles of 2×7 = 14 cm²

28 cm²

2 rectangles of 7×8 = 56 cm²

112 cm²

total : 32+28+112 = 172 cm²

2. 2 triangles and 3 rectangles

2 triangles (baseline × height / 2) = 7.2×4.8/2 = 17.28 cm²

34.56 cm²

2 rectangles 10×6 = 60 cm²

120 cm²

1 rectangle 10×7.2 = 72 cm²

72 cm²

total : 34.56+120+72 = 226.56 cm²

3. 2 triangles (right-angled) and 3 rectangles

2 triangles (a×b/2) = 8×6/2 = 24 cm²

48 cm²

1 rectangle 6×12 = 72 cm²

72 cm²

1 rectangle 8×12 = 96 cm²

96 cm²

1 rectangle 10×12 = 120 cm²

120 cm²

total : 48+72+96+120 = 336 cm²

4. 6 rectangles

2 rectangles of 3×10 = 30 cm²

60 cm²

2 rectangles of 3×9 = 27 cm²

54 cm²

2 rectangles of 10×9 = 90 cm²

180 cm²

total : 60+54+180 = 294 cm²

Answer:

85

Step-by-step explanation:

4 - (7 x 4 x -3) + -3

4 - (28 x -3) -3

4 - (-84) -3

88 - 3

85

Answer:

https://www.gigacalculator.com/calculators/volume-of-sphere-calculator.php this the link for the marth calculate

find the volume of a sphere. Only a single measurement needs to be known in order to compute the volume of a sphere and that is its diameter. For example, if the diameter is known to be 20 feet, then calculate the volume by using the first formula above to get 4/3 x 3.14159 x (20/2) 3 = 4.1866 x 1000 = 4188.79 ft 3 (cubic feet).

Answer:

46

Step-by-step explanation:

the number is 46

Answer:

Step-by-step explanation:

Let us first find the hypotenuses of the right triangle.

[tex]c=\sqrt{12^2+9^2} =\sqrt{225} = 15[/tex]

[tex]sin(theta) = 12/15 = 4/5\\cos(theta) = 9/15 = 3/5\\tan(theta) = 12/9 = 4/3\\csc(theta) = sin(theta)^{-1} = 5/4\\sec(theta) = cos(theta)^{-1} = 5/3\\cot(theta) = tan(theta)^{-1} = 3/4[/tex]

Answer:

12 (the third one is the greatest common factor of 120 and 84)

Answer:

12

Step-by-step explanation:

factors of 120. 1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,80,120

factors of 84: 1,2,3, 4,6,7,12,14,28,42,84

greatest common factor=12

Answer:

115 hours.

Step-by-step explanation:

35+70=105

105+10=115 hours