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3 years ago

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What is the difference of the whole number and the mixed number with an improper fraction below? 8 7/4 -7 A. 2 1/2 B. 2 3/4 C. 4

3/4 D. 2 1/4

1 answer:

MatroZZZ [7]3 years ago

6 0

Answer:

D. 2 1/4

Step-by-step explanation:

8 7/4 - 7

9 3/4 - 7

2 1/4

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Find the area of the shaded polygons

muminat

Answer:

4 square units

Step-by-step explanation:

The vertices of the figure are on grid points, so it is appropriate to use Pick's theorem to find the area.

__

<h3>formula</h3>

Pick's theorem tells you the area is ...

A = i +b/2 -1

where i is the number of grid points interior to the figure (0), and b is the number of grid points on the boundary (10).

<h3>application</h3>

Using the counted values in the formula, we find the area to be ...

A = 0 +10/2 -1 = 4

The area of the polygon is 4 square units.

_____

<em>Additional comment</em>

There are several other ways to find the area. Here are a couple:

<u>decompose the figure</u>

A horizontal line 1 unit up from the bottom will divide the figure into a trapezoid and a triangle. The trapezoid has bases 4 and 1, and height 1, so its area is ...

A = 1/2(b1 +b2)h = 1/2(4 +1)(1) = 5/2

The triangle has base 1 and height 3, so its area is ...

A = 1/2bh = 1/2(1)(3) = 3/2

Then the total area is 5/2 +3/2 = 8/2 = 4 square units.

<u>subtract empty space</u>

The figure occupies a 4×4 square with triangles removed from the left side and the top. Each of those triangles has a base of 4 and a height of 3. The remaining (shaded) area is ...

A = s² -1/2bh -1/2bh

A = 4² -1/2(4)(3) -1/2(4)(3) = 16 -12 = 4 square units

6 0

2 years ago

What is nine sixth as a fraction simplified

scoray [572]

3/2 since divide 9 and 6 by 3

3 0

3 years ago

Read 2 more answers

If the sum of any two number is 20 and difference is 10 find the numbers

Tanya [424]

"The sum of two numbers is 20" can be translated mathematically into the equation:

x + y = 20.

"... and their difference is 10" can be translated mathematically as:

x - y = 10

We can now find the two unknown numbers, x and y, because we now have a system of two equations in two unknowns, x and y. We'll use the Addition-Subtraction Method, also know as the Elimination Method, to solve this system of equations for x and y by first eliminating one of the variables, y, by adding the second equation to the first equation to get a third equation in just one unknown, x, as follows:

Adding the two equations will eliminate the variable y:

x + y = 20

x - y = 10

-----------

2x + 0 = 30

2x = 30

(2x)/2 = 30/2

(2/2)x = 15

(1)x = 15

x = 15

Now, substitute x = 15 back into one of the two original equations. Let's use the equation showing the sum of x and y as follows (Note: We could have used the other equation instead):

x + y = 20

15 + y = 20

15 - 15 + y = 20 - 15

0 + y = 5

y = 5

CHECK:

In order for x = 15 and y = 5 to be the solution to our original system of two linear equations in two unknowns, x and y, this pair of numbers must satisfy BOTH equations as follows:

x + y = 20 x - y = 10

15 + 5 = 20 15 - 5 = 10

20 = 20 10 = 10

Therefore, x = 15 and y = 5 is indeed the solution to our original system of two linear equations in two unknowns, x and y, and the product of the two numbers x = 15 and y = 5 is:

xy = 15(5)

xy = 75

6 0

3 years ago

Unos tambores, con una etiqueta de 30 L, son llenados con una solución proveniente de una tina grande. Se agrega una cantidad al

Vladimir [108]

A) La probabilidad de que la cantidad total de la solución contenida en 50 tambores sea mayor a 1 500 L es del 50%.

B) La probabilidad de que puedan llenarse 80 tambores sin que se acabe la solución es del 75%.

C) La tina debe contener 2160 litros para que la probabilidad sea 0,9 de que puedan llenarse 80 tambores sin que se acabe la solución.

<h3><u>Desviación estándar</u></h3>

Dado que unos tambores, con una etiqueta de 30 L, son llenados con una solución proveniente de una tina grande, y se agrega una cantidad aleatoriamente de la solución en cada tambor con media de 30.01 L y desviación estándar de 0.1 L, para determinar A) ¿Cuál es la probabilidad de que la cantidad total de la solución contenida en 50 tambores sea mayor a 1 500 L?; B) Si la cantidad total de la solución en la tina es de 2 401 L, ¿cuál es la probabilidad de que puedan llenarse 80 tambores sin que se acabe la solución?; y C) ¿Cuánta solución debe contener la tina para que la probabilidad sea 0,9 de que puedan llenarse 80 tambores sin que se acabe la solución?, se deben realizar los siguientes cálculos:

A)

30.01 - 0.1 = 2.91
30.01 + 0.1 = 3.11
3.11 - 2.91 = 20
3.11 - 3.01 = 10
10 / 20 = 0.5
0.50 = X

B)

2401 / 30.01 = X
79.76 = X
2401 / 30 = X
80 = X
(100 + 50) / 2 = 75

C)

(80 x 30) x 0.9 = X
2400 x 0.9 = X
2160 = X

Aprende más sobre desviación estándar en brainly.com/question/12402189

3 0

3 years ago

Please help me I don’t know it. Can I get an step by step explanation please?

agasfer [191]

Answer:

The answer is no

Step-by-step explanation:

Even though there are 8 pieces its not even

Pls let me know if the answer is correct or not

3 0

3 years ago

Read 2 more answers