How many ways can you place the letters in the word "PASTURE" into groups of four letters without repetition?

Answers

Answer 1

Using the permutation formula, it is found that there are 840 ways to place the letters.

The order in which the letters are placed is important, as PAST is a different arrangement that PTAS, for example, hence the permutation formula is used.

What is the permutation formula?

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 4 letters are taken from a set of 7, hence:

[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]

There are 840 ways to place the letters.

More can be learned about the permutation formula at https://brainly.com/question/25925367

#SPJ1

Answer 2

Answer:35

Step-by-step explanation:

How Many Ways Can You Place The Letters In The Word "PASTURE" Into Groups Of Four Letters Without Repetition?

Related Questions

What would the answer be?

Answers

Answer:

3 2/4

Step-by-step explanation:

1 3/4 + 1 3/4 = 6 2/4

because 3/4 +3/4 = 6/4 = 1 2/4

and 1+1+1 =3

Answer:  [tex]3 \frac{1}{2}[/tex]

This is the same as writing 3 & 1/2 to mean "3 and a half".

Check out the diagram below. I've shaded the pizza slices to represent the mixed numbers being added. Notice in the bottom row I've moved one red slice over to make a full pie. Overall we have 3 full pies plus an extra half, when all is said and done.

PLEASE HELP PLEASE HELP

Answers

Answer:

I think line C and L since Jenna's numbers are the same

jenna’s belongs in C line L

3 Which list of integers is in order from
greatest to least?
A 24, 9, -33, -24, -11
B-11, -18, -33, 9, 24
C24, 9, -11, -24, -33
D-33, 24, -18, -11, 9. Which one is the answer

Answers

The answer is C
Hope this helps
B the answer is B . Ok

Mr. Oppong makes monthly payments into his savings account. He saved Gh¢800.00 in the second month, Gh¢3,200.00 in the third month and he continued in tha same proportion in subsequent months. In what month would his savings first exceed Gh¢20,000.00?​

Answers

Answer:

5th month

Step-by-step explanation:

the relationship between the second and third month is that the 2nd month's salary was multiplied 4 to get the third month's salary

therefore the salaries for the next months will be

4th month=Gh¢12800.00

5th month=Gh¢51,200.00 which exceeds 20,000

PLSSSS ANSWER THIS QUESTION FAST
WILL MARK BRAINLIEST

Answers

Answer: Choice D

68 square inches

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

Explanation:

Refer to the diagram below.

I'll make the yellow sheet  of paper to be 8 by 10, where the horizontal part is 8 and the vertical is 10. The overlapped region has its horizontal part as 8 as well.

The other piece of paper is 8.5 inches by 11 inches. The vertical part of the overlapped region is 8.5 inches.

The overlapped region is a 8.5 inch by 8 inch rectangle with area 8.5*8 = 68 square inches. This makes choice D the final answer.

the circumference of the hub cap of a tire is 79.38 cm. Find the area of this hub cap. use 3.14 for pi

Answers

Answer:

ans 19785.719

Step-by-step explanation:

formula πr^2

how do i solve this?

Answers

Answer:

33

Step-by-step explanation:

to solve for each triangle remember its 1/2 base times height you have four of those so add those four sides to the area of the square.

key concept: 1/2(Base*Height)

What is the slope of a line parallel to the line with equation 5x−2y=11?


−112

−52

−25

52

Answers

Answer: 52

Step-by-step explanation: Using the slope-intercept form, the slope is 52 . All lines that are parallel to y=5x2−112 y = 5 x 2 - 11 2 have the same slope of 52 .

Please help me find the area for this hexagon (please show work to) ,:)

Answers

Check the picture below.

so the area of the hexagon is really just the area of two isosceles trapezoids.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=2\\ b=4\\ h=2 \end{cases}\implies \begin{array}{llll} A=\cfrac{2(2+4)}{2}\implies A=6 \\\\\\ \stackrel{\textit{twice that much}}{2A = 12} \end{array}[/tex]

Anthony has a square-shaped, wooden board. To build a door, he uses the board and cuts 3 feet off of its width. The new area of the wooden board is given by the expression below, where x represents the length in feet.
x(x-3)
Which statement best describes the term (x - 3)?

Answers

Anthony has a square-shaped, wooden board. To build a door, he uses the board and cuts 3 feet off of its width. The new area of the wooden board is given by the expression below, where x represents the length in feet.
x(x-3)
Which statement best describes the term (x - 3)?

Use the graph of f(x) to evaluate the following: 2 1 x 1 IN 2 3 4 5 -1 - 1 6 The average rate of change of f from x = O to L = 2 is 2 Give your answer as an integer or reduced fraction. ​

Answers

no se cómo se hace está operación de verdad lo siento

Which of the following options have the same value as 10% of 33?
Choose 3 answers:
A. 0.1 • 0.33
B. 10 • 33
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
(Please help I need this answer fast)​

Answers

Answer:

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

Step-by-step explanation:

Knowing that

10% = 0.1 in decimal form

10% = 1/10 or 10/100 in fraction form

of = multiply

Thus, the following is correct:

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

We can also solve to find the answer:

10% of 33 = 3.3

0.1 x 0.33 = 0.033

10 x 33 = 330

1/10 x 33 = 3.3

0.1 x 33 = 3.3

10/100 x 33 = 3.3

Hence answer =

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

[RevyBreeze]

Answer:

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

Step-by-step explanation:

Before finding the solutions let's first note the following:

Notes :

Of = Multiply

10% ⇒ 0.1 ⇒ 1/10 ⇒ 10/100

Thus, substitute;

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

Therefore,

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

are the correct answer.

As well as if you multiply/divide all you will all get 3.3

~lenvy~

If a student does not like ballet, what is the probability that student also does not like salsa?

Answers

like salsa              hate salsa               total

like ballet                       32                         42                          74  

hate ballet                      22                           4                          26

total                                54                         46                         100

if a student does not like ballet (there is 26 that do not like ballet)..what is the probability that the student does not like salsa..of those 26 that do not like ballet, 4 do not like salsa...

4/26 = 0.1538 = 15.38% rounds to 15.4% <=

Find two consecutive positive integers such that the sum of their squares is 761

Answers

Answer:

[tex]19^{2} +20^{2}[/tex] is 761

Step-by-step explanation:

Answer:

19 and 20

Step-by-step explanation:

Let the integers be x and x + 1.

According to the question,

x² + (x + 1)² = 761x² + x² + 2x + 1 = 7612x² + 2x - 760 = 0x² + x - 380 = 0x² + 20x - 19x - 380 = 0x(x + 20) - 19(x + 20) = 0(x - 19)(x + 20) = 0x = 19, -20But x is a positive integer⇒ x = 19

Therefore, the integers are :

x = 19x + 1 = 20

PLEASE HELP PLEASE HELP PLEASE

Answers

Answer:

False

Please make this brianliest so others can learn from this answer

Happy to help :)

Step-by-step explanation:

The triangle shown below has an area of 16 units^2 squared.

Find the missing length.
x = ______ units

Answers

Answer:

8 units

Step-by-step explanation:

Given:

Base = 4 unitsHeight = x unitsArea of triangle = 16 units²

Formula:

[tex]\text{Area of triangle:} \ \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

Substitute the base, height and the area of the triangle to determine the measure of the height (x).

[tex]\implies 16 \ \text{units}^{2} = \ \dfrac{1}{2} \times 4\times x[/tex]

Simplify the right hand side of the equation.

[tex]\implies 16 \ \text{units}^{2} = \ 2\times x[/tex]

Divide both sides by 2 to isolate "x".

[tex]\implies \dfrac{16 \ \text{units} }{2} = \dfrac{2\times x}{2}[/tex]

[tex]\implies 8 \ \text{units} = x[/tex]

The measure of the height (x) is 8 units.

Answer:  8

Step-by-step explanation:

A rectangle has a length of 15 cm and a width of 11 cm. What is its perimeter?
54 cm
52 cm
165 cm
26 cm

Answers

Answer:

52 cm

Step-by-step explanation:

perimeter = 2(length) + 2(width) for a rectangle.

2(15)+2(11)=52 cm

Answer:

52

Step-by-step explanation:

i got 100% on the quiz i got all the answers

Brainliest?

Find the value of x.

Answers

[tex]~~~~~~x + 42^{\circ} + 97^{\circ} =180^{\circ}\\ \\\implies x = 180^{\circ} - 42^{\circ} - 97^{\circ}\\\\\implies x = 41^{\circ}[/tex]

Step-by-step explanation:

or , x + 97° + 42° = 180° ( the sum of interior

angle of triangle is 180° )

or , x + 139° = 180°

or , x = 180° - 139°

x = 41°

If John had four pizzas and shared them equally to his three friends, how many slices will he have?

Answers

Answer:

Is this really college math?

He would have 8 slices of pizza

Step-by-step explanation:

8 * 4 = 32

32 / 4 = 8...

to find:

the number of slices John would have after distributing it among his friends.

solution

8×4=32

32/4

= 8

John would have 8 slices of pizza.

I can't manage. Can you help? Ty :)​

Answers

first question is true and second question is 6cm

Find α in degrees. Round to the nearest hundredth

Answers

Answer:

α = 29°

Step-by-step explanation:

Given values

Opposite side = √15Adjacent side = 7

Missing value

α

Solving :

tanα = √15/7α = tan⁻¹ (√15/7)α = 28.8107937 α = 29° (closest value)

Name the characteristics a shape has to have to be defined as the following:
Quadrilateral
Triangle
Square

Answers

For a shape to be defined as a quadrilateral it has to have 4 sides.

For a shape to be defined as a triangle it has to have 3 sides, with the angles adding up to 180°

For a shape to be defined as a square it has to have 4 sides and angles. The angles must add up to 360° with equal side and angle length.

Answer:

Shapes are the outlines formed from a given area of figure. The characteristics of shapes vary and depend on what the given shape is. Here are the characteristics of a quadrilateral, triangle, and square.

1. Quadrilateral- Quadrilaterals should have four sides and four corners. As long as these two are present, you can call any shape a quadrilateral regardless of how it is formed.

2. Square- A square is a quadrilateral, so it must contain four sides and four corners. However, a square has its sides and corners equally made.

3. Triangle- A triangle should have three sides or vertices and three corners.

Step-by-step explanation:

Which of these graphs has its maximum point on the line x=3

Answers

Answer:

The last graph

Step-by-step explanation:

We are given two tips for finding our graph, it has a max point and the point of the line is x = 3. Meaning that this graph must open down and should not go anything further than 3 on the y graph.

The only one that fits this proposition is the last graph. Making it correct.

Answer:

see below

Step-by-step explanation:

To have a maximum, the parabola must be pointing down.

For the maximum to be at x=3, the vertex must have an x value at 3 and the line of symmetry must be 3

an effort to make room for new inventory, a college bookstore runs a sale on least popular mathematics books. The sales rate (books sold per day) on day of the sale is predicted to be 60 / t (for t >= 1), where t = 1 corresponds to the beginning of the sale, at which time none of the inventory of 595 books had been sold.

A) Find a formula for the number of books sold up to day t. S(t)=

B) Will the store have sold its inventory of 595 books by day t = 30? “Yes” or “No”

Answers

Answer:

The sun, eight plants and some other celestial

Answer:1

Step-by-step explanation:

The sun, eight plants and some other celestial

The perimeter of a triangle is 7 m. The longest side is twice the length of the shortest side. The sum of the
lengths of the shortest side and the middle side is 1 m more than the length of the longest side. Find the
lengths of the sides.

Answers

Answer:

See below in bold.

Step-by-step explanation:

Let the length of the shortest side be x, then the longest side = 2x.

Also  x + y = 2x  + 1   where y = length of the middle side,

Simplifying:

2x - x - y = -1

x - y = -1        (A)

Also as the perimeter = 7:

x + 2x + y = 7

3x + y = 7       (B)

Adding (A) and (B):

4x + 0 = 6

x = 6/4 = 1.5

Plug x = 1.5 into equation B:

3(1.5) + y = 7

y = 7 - 4.5 = 2.5.

Answer:

So the shortest side = 1.5, middle = 2.5 and longest = 2*1.5 = 3.

how to convert 8.1 into a fraction ​

Answers

Answer:

81/10

Step-by-step explanation:

The equation shown below is true for which value of x? 5(x + 2) - 3(x - 6) = 7x

Answers

Answer:

x= 28/5 or 5.6

Step-by-step explanation:

5(x+2)−3(x−6)=7x

5(x+2)−3(x−6)=7x

Simplify both sides of the equation.

5(x+2)−3(x−6)=7x

(5)(x)+(5)(2)+(−3)(x)+(−3)(−6)=7x <--(Distribute)

5x+10+−3x+18=7x

(5x+−3x)+(10+18)=7x  <--(Combine Like Terms)

2x+28=7x

2x+28=7x

Subtract 7x from both sides.

2x+28−7x=7x−7x

−5x+28=0

Subtract 28 from both sides.

−5x+28−28=0−28

−5x=−28

Divide both sides by -5.

[tex]\frac{-5x}{-5} \frac{-28}{-5\\} \\[/tex]      

x= 28/5

Answer:

x= 28/5

or

5.6

hope this helps!

Solve the equation below for y

3 ( y + 3 ) = 14

Answers

Answer:

y = 3/5

Step-by-step explanation:

3(y+3) = 14

3*y+3*3 = 14

3y+9 = 14

3y = 14-9

3y = 5

y = 3/5

Decide whether it would be more convenient to solve the system of equations by substitution or elimination.
{−2x/3−15y=−6, 10x−6y=−4
Select the correct answer below:


elimination

substitution

Answers

Answer:

I would use elimination in this scenario. Because in both equations there is a coefficient on both variables, it would be difficult to isolate one variable and would leave the equation as a fraction. Instead, use elimination. Multiply the first equation by -15, which changes it to 10x + 225y = -90, and then subtract the second equation, thus cancelling out the 10x's and letting you solve for Y. Hope this helps!

What number must you add to complete the square?

x^2 - 16x = 23

A. -8

B. -64

C. 64

D. 8

Answers

Answer:

D

Step-by-step explanation:

Answer:

D. 8

Step-by-step explanation:

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b.

(b/2) ² = (-8)²

Add the term to each side of the equation.

x² - 16x + (-8)² = 23 + (-8)²

Simplify the equation.

Raise -8 to the power of 2.

x² - 16x + 64 = 23 + (-8)²

Simplify 23 - (-8)²

Raise - 8 to the power of 2.

x² - 16x + 64 = 23 + 64

Add 23 and 64

x² - 16x + 64 = 87

Factor the perfect trinomial square into (x-8)²

(x-8)²=87

Solve the equation for x.

Take the square root of each side of the equation to set up the solution for x.

(x-8)²*¹/₂ = ±√87

Remove the perfect root factor x-8 under the radical to solve for x.

x - 8 = ±√87

Remove parentheses.

x - 8 = ±√87

Add 8 to both sides of the equation.

x = ±√87 + 8

The result can be shown in multiple forms.

Exact Form:

x = ±√87 + 8

Decimal Form:

x=17.32737905…,−1.32737905…

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