please help it's Factorisation with Numbers

Answer:

x = [tex]\frac{3}{4}(n-1)[/tex]

Step-by-step explanation:

It's given in the question that '' The number is 75% of one less than a number n"

Let the number is 'x'.

One less than a number 'n' will be = (n - 1)

75% of one less than a number will be = 75% of (n -1)

                                                                = [tex]\frac{75}{100}(n-1)[/tex]

                                                                = [tex]\frac{3}{4}(n-1)[/tex]

Therefore, the desired expression to get the number 'x' will be,

x = [tex]\frac{3}{4}(n-1)[/tex]

Answer:

3/4(n-1)

Step-by-step explanation:

did it in rsm

Answer:

3.22222......  = [tex]\frac{29}{9}[/tex]

Step-by-step explanation:

In this question we have to convert the number given in recurrent decimals into fraction.

Recurrent decimal number is 3.22222.......

Let x = 3.2222.........   -------(1)

Multiply this expression by 10.

10x = 32.2222........... -------(2)

Now subtract the expression (1) from (2),

10x = 32.22222.....

   x = 3.22222.......

9x = 29

x = [tex]\frac{29}{9}[/tex]

Therefore, recurrent decimal number can be written as [tex]\frac{29}{9}[/tex] which is in the form of [tex]\frac{p}{q}[/tex].

Answer:

IJ= 4.98

Step-by-step explanation:

EF = 12

KF = 6

LF = 7.8

LK = sqrt(7.8^2-6^2) = 4.98

IJ = LK (4.98)

Answer:

[tex]w=\frac{t+8}{3}[/tex]

Step-by-step explanation:

[tex]3w - 8 = t[/tex]

Add 8 on both sides.

[tex]3w - 8 + 8 = t + 8[/tex]

[tex]3w = t + 8[/tex]

Divide both sides by 3.

[tex]\frac{3w}{3} =\frac{t+8}{3}[/tex]

[tex]w=\frac{t+8}{3}[/tex]

The value of w is w = (t + 8)/3 in terms of t after solving and making the subject w the answer is w = (t + 8)/3.

It is defined as the combination of constants and variables with mathematical operators.

We have an equation:

3w - 8 = t

To solve for w in terms of t

Make the subject as w

In the equation:

3w - 8 = t

Add 8 on both sides:

3w - 8 + 8 = t + 8

3w = t + 8

Divide by 3 on both sides:

3w/3 = (t + 8)/3

w = (t + 8)/3

The equation represents a function of w in terms of t

As we know, the function can be defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Thus, the value of w is w = (t + 8)/3 in terms of t after solving and making the subject w the answer is w = (t + 8)/3.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Answer:

x=90 degrees and y=41 degrees.

Step-by-step explanation:

In the diagram

[tex]AB=AC\\$Therefore \triangle ABC$ is an isosceles triangle[/tex]

[tex]m\angle C=49^\circ[/tex]

Since ABC is Isosceles

[tex]m\angle B=m\angle C=49^\circ $ (Base angles of an Isosceles Triangle)[/tex]

[tex]m\angle A+m\angle B+m\angle C=180^\circ $ (Sum of angles in a Triangle)\\m\angle A+49^\circ+49^\circ=180^\circ\\m\angle A=180^\circ-(49^\circ+49^\circ)\\m\angle A=82^\circ[/tex]

[tex]m\angle x=90^\circ $(perpendicular bisector of the base of an isosceles triangle)[/tex]

[tex]m\angle y=m\angle A \div 2 $ (perpendicular bisector of the angle at A)\\m\angle y=82 \div 2\\m\angle y=41^\circ[/tex]

Therefore:

x=90 degrees and y=41 degrees.

Answer:

9

Step-by-step explanation:

i think it's 9 that's how many area codes

Answer: It is 900

Step-by-step explanation:

Plato/Edmentum

Answer:

-4

Step-by-step explanation:

give me brainliest please

Answer: x= 4.25 y= 12.75

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Well the integer (-1, -1) means x = -1 and y = -1

So we can plug this into the equation

-1 = 3(-1) + 2

-1 = -3 + 2

-1 = -1

So yes (-1, -1) is a solution.

Answer:

60 and 87

Step-by-step explanation:

Question 1: The chance of losing would be 100% - 40% = 60%.

Question 2: Again, we just have to do 100% - 13% = 87%.

Answer:

Below

Step-by-step explanation:

First question:

Jade has a 40% chance of winnig wich could be expressed as 2/5

The chance of losing is the remainning pourcentage from 100%

●100-40 =60%

60% is the chance of losing wich could be expressed as 3/5

The sum of 3/5 and 2/5 is 1 so it's true.

■■■■■■■■■■■■■■■■■■■■■■■■■

Same method for the 2nd question:

The person has a 13 % chance of winning.

The chance of losing is 87%

● 100-13 =87

Answer:

Step-by-step explanation:

put x=r cos θ

y=r sin θ

r²cos²θ-r²sin²θ=3rsin θ

r²(cos²θ -sin²θ)=3r sin θ

r²cos 2θ=3rsinθ

r cos 2θ=3 sin θ

r=3sec 2θ sin θ

Answer:

they divied the turkey into 14 pices

Step-by-step explanation:

Answer:

Step-by-step explanation:

To decipher how many eggs you have left, we must read the statement well.

I have 5 eggs if I break 2 eggs it is to cook them and when they are cooked they will be eaten, so we simply do the following:

5 -2= 3

Now you only have 3 eggs left.

Step-by-step explanation:

Given:

5 eggs

Required:

Number of eggs after breaking, cooking and eating 2.

Solution:

I won't count the eggs as 6.

Broken=cooked=eaten=2

5-2=3

Hope it helps ;) ❤❤❤

Answer:

The answer is option A

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

Equation of the line using point (1 , - 2) and slope 1/3 is

y + 2 = 1/3( x - 1)

Multiply through by 3

That's

3y + 6 = x - 1

Simplify

x - 3y - 1 - 6 = 0

We have the final answer as

Hope this helps you

Answer:

0.0035289

Step-by-step explanation:

From the question;

mean annual salary = $63,500

n = sample size = 31

Standard deviation = $6,200

Firstly, we calculate the z-score of $60,500

Mathematically;

z-score = x-mean/SD/√n = (60500-63500)/6200/√(31) = -2.6941

So we want to find the probability that P(z < -2.6941)

We can get this from the standard normal table

P( z < -2.6941) = 0.0035289

Answer: A(3, -5)

B(6, -2)

C(9, -2)

Step-by-step explanation:

If we have a point (x, y), and we do a reflection over the axis y = a, then the only thing that will change in our point is the value of x.

Now, the distance between x and a must remain constant before and after the reflection.

so if x - a = d

then the new position of the point will be:

(a - d, y) = (2a - x, y).

I will use that relationship for the 3 points

A)

We start with the point (1, -5)

The reflection over y = -1 leaves.

The distance between 1 and -1 is = 1 - (-1) = 2.

Then the new point is (-1 - 2, -5) = (-3, -5)

Now we do a reflection over y = 1, so D = -3 - 1 = -2

Then the new point is:

A = (1 -(-2), -5) = (3, -5)

B) (2, -2)

Reflection over y = -1.

distance, d = 2 - (-1) = 3

the point is (-1 - 3, -2) = (-4, -2)

Now, a reflection over y = 1.

The distance is D = -4 - 1 = -5

The new point is (1 - (-5), 2) = (6, -2)

C) (5, -2)

reflection over y = -1

Distance: D = 5 - ( - 1) = 6

New point: (-1 - 6, -2) = (-7, -2)

Reflection over y = 1.

Distance D = -7 - 1 = -8

New point ( 1 - (-8), -2) = (9, -2)

Answer:

your answer is x^2 - 16x + 64.

Answer:

x^2 - 16x + 64

Step-by-step explanation:

Answer:

264 degree angle

Step-by-step explanation:

Answer:

Total cost = $864

Step-by-step explanation:

The area of the rectangular room

= 18*12

= 216 ft²

The sides of the square is 1ft

The area of the square= 1ft²

To know how many square tiles it will take= 216/1 = 216 square tiles.

The total cost to completely cover the room with tiles if each tiles cost $4

= 216*4

= $864

Total cost=$864

Answer:

[tex]\displaystyle \cot \theta = \frac{5}{12}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \sin \theta = \frac{12}{13}[/tex]

Where θ is an acute angle, and we want to find cot(θ).

Recall that sine is the ratio of the opposite side over the hypotenuse. In other words, our opposite side is measures 12 units and our hypotenuse measures 13 units.

Find the adjacent side:

[tex]\displaystyle \begin{aligned} a^2 + b^2 & = c^2 \\ \\ (12)^2 + b^2 & = (13)^2 \\ \\ b & = 5\end{aligned}[/tex]

Hence, our adjacent side is 5, our opposite side is 12, and our hypotenuse is 13.

Recall that cotangent is the ratio of the adjacent side to the opposite side. Therefore:

[tex]\displaystyle \cot \theta = \frac{5}{12}[/tex]

In conclusion:

[tex]\displaystyle \cot \theta = \frac{5}{12}[/tex]

Answer:

-5/12

Step-by-step explanation:

I just completed Quiz 2: Evaluation of Functions. Of which, this was one of the questions.

Answer: d) Not in Col in Nul A

Step-by-step explanation: The definition of Column Space of an m x n matrix A is the set of all possible combinations of the columns of A. It is denoted by col A. To determine if a vector is a column space, solve the matrix equation:

A.x = b or, in this case, [tex]A.x=u[/tex].

To solve, first write the augmented matrix of the system:

[tex]\left[\begin{array}{cccc}1&0&3&-4\\-2&-1&-4&-5\\3&-3&0&3\\-1&3&6&1\end{array}\right][/tex]

Now, find the row-echelon form of matrix A:

1) Multiply 1st row by 2 and add 2nd row;

2) Multiply 1st row by -3 and add 3rd row;

3) MUltiply 1st row by 1 and add 4th row;

4) MUltiply 2nd row by -1;

5) Multiply 2nd row by 3 and add 3rd row;

6) Multiply 2nd row by -3 and add 4th row;

7) Divide 3rd row by -15;

8) Multiply 3rd row by -15 and add 4th row;

The echelon form matrix will be:

[tex]\left[\begin{array}{cccc}1&0&3&-4\\0&1&-2&13\\0&0&1&-\frac{51}{15}\\0&0&0&-13 \end{array}\right][/tex]

Which gives a system with impossible solutions.

But if [tex]A.x=0[/tex], there would be a solution.

Null Space of an m x n matrix is a set of all solutions to [tex]A.x=0[/tex], so vector u is a null space of A, denoted by null (A)

Answer:

46 customers

Step-by-step explanation:

If the number of original customers is n, we can write the following equation:

98 = 2n + 6

92 = 2n

46 = n

Answer:

a simple interest rate of 4.5%

Answer:

236,000

Step-by-step explanation:

When rounding to thousands, if the hundred is 500 or over, you round up. If it is less, round down.

Answer:

Hey! The answer is 236,000.... steps will be below!

Step-by-step explanation:

Since there is 5,674 it is more closer to 6,000 than 5,000

So we change the number to 236,000

ANSWER TO YOUR QUESTION: 236,000

Hope this helps! :)

⭐️Have a wonderful day!⭐️

Answer:

7.81

Step-by-step explanation:

its a triangular shape

let x = 4 + 2 = 6

let y = 5

length between two points = h

h² = x² + y²

h² = 6² + 5²

h = sqrt of 61

h = 7.81

Answer:

[tex]\frac{-89}{40}[/tex]

As a Proper Fraction: -2[tex]\frac{9}{40}[/tex]

Step-by-step explanation:

So i assume the fraction sits like this:

[tex]\frac{-5}{8}[/tex] + [tex]\frac{-8}{5}[/tex]

This essentially becomes:

[tex]\frac{-5}{8}[/tex]  -  [tex]\frac{8}{5}[/tex]

Now multiply the denominators for a LCM (Lowest common denominator)

8*5 = 40

And now multiply the top parts with the respective denominator (-5 * 5) and (8 * 8)

So Now you get

[tex]\frac{-25}{40}[/tex] -  [tex]\frac{64}{40}[/tex]

and now that u have same denominators, just subtract -25 - 64  and get -89

Final Simplified answer: [tex]\frac{-89}{40}[/tex]

As a Proper Fraction: -2[tex]\frac{9}{40}[/tex]

Answer:

work is shown and pictured

Answer:

The length is 5.5 inches

Step-by-step explanation:

The area of a rectangle is

A = lw

66 =  l * 12

Divide each side by 12

66/12 = l

5.5 = l

The length is 5.5 inches

Answer:

5.5 inches

Step-by-step explanation:

Length times width is the area so

12*width =66

same as

66/12=5.5 inches

Ask more questions in the comments if you are still confused.

Answer:

Range of wages is £140 to £525.

Mean wage = £226

Step-by-step explanation:

Given:

Weekly wages paid to the staff are :

£245, £140, £525, £163, £195, £174 and £140.

To find:

Range of these wages = ?

Mean wage = ?

Solution:

First of all, let us learn about the range of wages and mean wage.

Range of wages has a minimum pay and a maximum pay.

Here, if we have a look £140 is the minimum pay and

£525 is the maximum pay.

So, range of wages is £140 to £525.

Mean wage means the average of all the wages given to the staff.

Mean is defined as the formula:

[tex]\text{Average/Mean =} \dfrac{\text{Sum of all the observations}}{\text{Number of observations}}[/tex]

Here, Sum of all observations mean sum of the wages of all the staff members.

Number of observations mean the number of staff members i.e. 7 here.

Applying the formula:

[tex]\text{Average/Mean =} \dfrac{\text{245+140+525+163+195+174+140}}{\text{7}} \\\Rightarrow \text{Average/Mean =} \dfrac{\text{1582}}{\text{7}}\\\Rightarrow \text{Average/Mean =} 226[/tex]

So, the answer is:

Range of wages is £140 to £525.

Mean wage = £226

A - No

B - No

C - Yes

D - Yes

.

C and D are alternate exterior angles