Find the missing factor. Does anybody know the answer 8b*2+7b-1= (b+1) ( )

Answers

Answer 1

Answer:

[tex]8b^2+7b-1=(b+1)(8b-1)[/tex]

The missing factor is: [tex](8b-1)[/tex]

Step-by-step explanation:

Given expression:

[tex]8b^2+7b-1=(b+1)(_-)[/tex]

To find the missing factor of the given expression.

Solution:

In order to factor the given term, we will split the middle term into two terms such that the product of the two terms is equal to the product of the first and last term of the expression.

The product of first and last term for the expression is = [tex](8b^2)(-1)=-8b^2[/tex]

The middle term = [tex]7b[/tex] which can be split into  [tex](8b-b)[/tex] as their product = [tex]-8b^2[/tex]

Thus, the expression can be rewritten as:

⇒ [tex]8b^2+8b-b-1[/tex]

We will factor in pairs by taking GCF.

⇒ [tex]8b(b+1)-1(b+1)[/tex]

Factoring the whole expression by taking the common factor.

⇒ [tex](b+1)(8b-1)[/tex]

Thus, the missing factor is: [tex](8b-1)[/tex]


Related Questions

If 3 boxes can hold 27 books, how many boxes can hold 108 books?

Answers

1 box holds 9 so u divide 108 by 9 to get 12.

U can also multiply 3 and 27 until u get 108.  First divide 108 by 27 and get 4. so u then multiply 4 times 3 to get 12.

Answer:

Step-by-step explanation:

No of books that 3 boxes can hold = 27 books

No of boxes required =(3/27) * 108 = 3*108 / 27 =  3 *4 = 12

12 boxes are required

EXPLAIN HOW 28*4/7 IS CORRECT AND (28 / 7) x 4 IS NOT. I'M GIVING 100 POINTS AND I NEED ANSWERS

Answers

Step-by-step explanation:

[tex]28\cdot\dfrac{4}{7}=\dfrac{28}{1}\cdot\dfrac{4}{7}=\dfrac{28\cdot4}{1\cdot7}\\\\\text{simplify 28 and 7 (divide both by 7)}\\\\=\dfrac{28\!\!\!\!\!\diagup^4\cdot4}{1\cdot7\!\!\!\!\diagup_1}=\dfrac{4\cdo4}{1\cdot1}=\dfrac{16}{1}=16[/tex]

[tex]\dfrac{28}{7}\cdot4=(28:7)\cdot4=4\cdot4=16[/tex]

[tex]\text{Both expressions give the same result.}[/tex]

[tex]28\cdot\dfrac{4}{7}=\dfrac{28}{7}\cdot4\\\\28\cdot\dfrac{4}{7}=\dfrac{28}{1}\cdot\dfrac{4}{7}=\dfrac{28\cdot4}{1\cdot7}=\dfrac{28\cdot4}{7\cdot1}=\dfrac{28}{7}\cdot\dfrac{4}{1}=\dfrac{28}{4}\cdot4[/tex]

Your question:

EXPLAIN HOW 28*4/7 IS CORRECT AND (28 / 7) x 4 IS NOT

It all depends on the content of the question for which these expressions are.

Qestion:

Mr. Chang’s class has 28 students, 4/7 of whom are girls. Which equation shows how to determine the number of girls in Mr. Chang’s class?

Correct is 28 * 4/7.

(You calculate a fraction of a number).

28/7 * 4 - gives the same result. But the expression does not match the content of the question.

You are right they both give the same answer just a different problem

Harry is comparing the cost of a fresh lobster dinner at two different restaurants. The first restaurant charges $15 for the meal, plus $4 per pound for the lobster he picks. At the second restaurant, Harry would pay $3 per pound for the lobster, in addition to $38 for the meal. Harry realizes that, in theory, dinner at both restaurants could cost the same amount if the lobster had a certain weight. How much would Harry pay for his dinner? What is the weight?

Answers

Answer:i’m not sure but i think it’s around 10-11 for per pound for the lobsters.

Step-by-step explanation:

15$ + 4per lobster = 19$ and 38$+$3=41 so it should be around that amount of 22

he would pay $107

and it would weigh 23 pounds

Step-by-step explanation:

15+4p=x

38+3p=x

15+4p=38+3p

subtract 3p from both sides

15+p=38

subtract 15 from both sides

p=23

15+4(23)=107

38+3(23)=107

All of the x values or inputs are called what?

Answers

Domains are X values. Domains are inputs. Ranges are functions. Ranges are Y values.

two years ago, the howards bought a van for $27,500. today the value of the van has decreased 35%. what is the value of the van now?

Answers

Answer: $17,875

Step-by-step explanation:

take 27,500 and multiply it by 35% or .35

27500 x .35= 9625

take 9625 and subtract it from the initial value

27500 - 9625= 17875

Answer:

35 × $27500 = $9625

100 1

= $27500-$9625

=$17875

What is the standard form of this complex number?

1 / (3 - sqrt-4)

A. 3/13 + 2/13i
B. 3/5 + sqrt-2/5
C. 3 - 2i
D. 3 + 2i

Answers

Answer: A

Step-by-step explanation:

The standard form of this complex number is A. 3/13 + 2/13i

=3+2i/9-4(-1)

=3+2i/9+4

=3+2i/13

What is an example of a complex number?

Complex numbers in mathematics. Complex numbers are numbers expressed in the form of a + ib. Here, a and b are real numbers, and "i" is an imaginary number called "iota". The value of i = (√-1). For example, 2 + 3i is a complex number, 2 is a real number (Re), and 3i is an imaginary number.

Complex numbers are numbers that consist of two parts: real and imaginary. Complex numbers are more complex mathematical components such as algebra. They can be applied to many aspects of real life, especially electronics and electromagnetism.

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Anna baked
3
33 batches of cookies with
c
cc cookies in each batch. She then ate
8
88 cookies!
How many cookies does Anna have left?
Write your answer as an expression.

Answers

Answer:

expression for cookies  Anna have 3c- 8

Step-by-step explanation:

Given:

Number of cookie batches Anna baked = 2

Number of cookies in each batch = c

Number of cookies Anna ate  = 8

To Find:

An expression representing the number of cookies left with Anna

Solution:

Let the expression representing the number of cookies left with Anna be y

First let us find the total number of cookies Anna baked

She baked 3 batches of cookies and each batch had c cookies in it

So,

Total number of cookies Anna baked =  number batches X Number of cookies in each batch

=>[tex]3 \times c[/tex]

=> 3c

Now Anna ate 8 from 3c cookies, so she will be left with

=>3c-8 cookies

So , y = 3c- 8

Complete each of the ratios on the table show calculations

Answers

Answer:

From left to right:

2, 4, 32

Step-by-step explanation:

Using the one column which is completed, determine the ratio of yellow to blue by reducing to lowest terms.

yellow to blue = 8 to 16

8 and 16 are both divisible by 8. 8/8 = 1 and 16/8 = 2

8 to 16 = 1 to 2

This means there is half as much yellow paint as there is blue paint. If said backwards, there is double the amount of blue paint as there is yellow paint.

In the first two columns, yellow paint is blue paint divided by 2.

4/2 = 2

8/2 = 4

In the last column, blue paint is yellow paint times 2.

16 X 2= 32

All of the ratios yellow to blue are:

2 to 4

4 to 8

8 to 16

16 to 32

If 16 is added to 1/3 of a number the result is 3 times the number what is the number?

Answers

Answer: The number is 6

Step-by-step explanation:

Let the number be x,

1/3 of the number is the same as 1/3 of x , so from the first statement , we have

16 + [tex]\frac{1}{3}[/tex]x = 3x

Multiplying the equation through by 3 , we have

48 + x = 9x

48 = 9x - x

48 = 8x

divide through by 8

therefore :

x = 6

Therefore : the number is 6

Part A : How long will it take you to pay a $600000 loan at 3.7% yearly interest if you continue to make monthly payments of $2500 per month?

Part B : How much money will you have paid in total after you are done paying the above loan with its respective interest rate? AND, based on your answers, how much money did the bank make in profit?

DO ALGEBRAICALLY!!! PLEASE AND THANK YOU!!!

Answers

Answer:

Part A: 2.159 years.Part B: $647929.8. $47929.8

Step-by-step explanation:

Part A:

Let, it will take x years to pay.

According to the question,

[tex]2500\times12x = $600000 + $600000 \times \frac{3.7x}{100} \\12x = 240(1 + \frac{3.7x}{100})\\x = 2(1 + \frac{3.7x}{100})\\0.926x = 2\\x = 2.159[/tex]

Part B:

Total money that needs to be paid is [tex]600000(1 + \frac{3.7\times 2.159}{100} )[/tex] = $647929.8.

The bank made $47929.8 in profit.

Rebecca has a monthly plan that charges her $45.50 each month for unlimited talk and text. For each gigabyte of data that she uses, she has to pay an additional $5.25. If the cost of her bill is represented by variable C and the number of gigabytes is represented by the variable g, write an equation that represents this situation.

Answers

Answer:

C = $5.25g + $45.50

Step-by-step explanation:

The $45.50 is her monthly bill and does not change. The additional fee determines on the amount of gigabytes she used which is undetermined, using the variable g. It cost $5.25 per gigabyte. C is her total/the bill.

Answer:

C = $5.25g + $45.50

Step-by-step explanation:

if point A(-6,-2) of a trapezoid is moved through the translation (x+1, y-3) what will coordinates of A1 be?

Answers

Answer:

A1(-5,-5)

Step-by-step explanation:

given : A(-6,-2)

simply apply the translation to the coordinates above

A1 ( -6 + 1, -2-3) = A1(-5,-5)

how does this polynomial identity work on numerical relationships?
(y + x) (ax + b)

Answers

Answer:

Let us take 'a' in the place of 'y' so the equation becomes

(y+x) (ax+b)

Step-by-step explanation:

Step 1:

(a + x) (ax + b)

Step 2: Proof

Checking polynomial identity.

(ax+b )(x+a) = FOIL

(ax+b)(x+a)

ax^2+a^2x is the First Term in the FOIL

ax^2 + a^2x + bx + ab

(ax+b)(x+a)+bx+ab is the Second Term in the FOIL

Add both expressions together from First and Second Term  

= ax^2 + a^2x + bx + ab

Step 3: Proof

(ax+b)(x+a) = ax^2 + a^2x + bx + ab

Identity is Found .

Trying with numbers now

(ax+b)(x+a) = ax^2 + a^2x + bx + ab

((2*5)+8)(5+2) =(2*5^2)+(2^2*5)+(8*5)+(2*8)

((10)+8)(7) =(2*25)+(4*5)+(40)+(16)

(18)(7) =(50)+(20)+(56)

126 =126

(Score for Question 1: ___ of 5 points)

1. In a candy shop, jellybeans which sell for $2.50 a pound are mixed with skittles which sell for $4 a pound to form a jellybean-skittles mix that sells for $3.50 a pound. How much of each are used to make 30 pounds of the mixture?


(a) Write a system of linear equations that models this situation.

(b) Use the substitution or elimination method to solve for how many pounds of jellybeans and how many pounds of skittles are used to make the 30-pound mixture.

Hint:

Equation one will represent that jellybeans and skittles will equal a total amount of pounds.

Equation 2 will represent that cost of each individual component (added together) equal the total cost of a 30-pound mixture.

Answer:

(Score for Question 2: ___ of 5 points)

2. Sam and Kevin both worked hard over the summer. Together they earned a total of $425. Kevin earned $25 more than Sam.

(a) Write a system of equations for the situation. Use s for the amount Sam earned and k for the amount Kevin earned.

(b) Solve the system of equations.

Answer:

3. (Score for Question 3: ___ of 5 points)

Solve the system of equations by substitution.


6 = −4x + y

−5x − y = 21


Answer:


Solve the system by the elimination method.


2x + y = 20

6x – 5y = 12


Answer:


please help me immediately please!!! whoever answers this gets marked brainliest

Answers

Answer:

The separated values of x and y from the given equation is [tex]x=\frac{13-3y}{4}, y=1-\frac{4}{13}x[/tex]

Step-by-step explanation:

Given equation is [tex]4 x+3y=13[/tex]

Now to find the separated values of x and y with the given equation.

Now find the value of x and so we have to separate the value x from the given equation

[tex]4x+3y=13[/tex]

[tex]4x=13=3y[/tex]

[tex]x=\frac{13-3y}{4}[/tex]

Therfore [tex]x=\frac{13-3y}{4}[/tex]

Now find the value of y and so we have to separate the value y from the given equation

[tex]4x+13y=13[/tex]

[tex]13y=13-4x[/tex]

[tex]y=\frac{13-4x}{13}[/tex]

[tex]y=\frac{13}{13}-\frac{4x}{13}[/tex]

[tex]y=1-\frac{4}{13}[/tex]

Therefore [tex]y=1\frac{4}{13}x[/tex]

The separated values of x and y from the given equation is

[tex]x=\frac{13-3y}{4}, y=1-\frac{4}{13}x[/tex]

Subtract these polynomials.
(2x2 + 4x + 3) - (4x2 - 2x-3) =
O A. - 2x2 + 2x+0
O B. 6x2 + 6x + 6
O C. 6x2+2x+ 0
O D.-2x2+68+6

Answers

Answer:

B.   -2x2 + 6x + 6.

Step-by-step explanation:

(2x2 + 4x + 3) - (4x2 - 2x-3)   Distribute negative over the parentheses:

= 2x2 + 4x + 3 - 4x2 + 2x + 3

= 2x2 - 4x2 + 4x + 2x + 3 + 3

=  -2x2 + 6x + 6.

Final answer:

The correct answer to the polynomial subtraction question is D. -2x^2 + 6x + 6, obtained by changing the sign of each term in the second polynomial and then combining like terms.

Explanation:

To subtract the given polynomials, we remove the parentheses and change the sign of each term in the second polynomial before combining like terms:

(2x2 + 4x + 3) - (4x2 - 2x - 3)

= 2x2 + 4x + 3 - 4x2 + 2x + 3

Now, combine like terms:

(2x2 - 4x2) + (4x + 2x) + (3 + 3)

= -2x2 + 6x + 6

The correct answer is D. -2x2 + 6x + 6.

using distributive property-2(n+9)

Answers

Answer: -2n + -18

Explanation: Let's simplify this problem using the distributive property.

The first thing we want to do is to distribute or multiply the -2 by each of the terms inside the set of parentheses.

So we get -2 (n) + -2 (9) and this simplifies to -2n + -18.

A function has an input of -6. What is the output if the function rule is y = 2x - 1?

Answers

A function has an input of -6. The output of function is -13

Solution:

Given that function has a input of -6

To find: output of function

Given function rule is y = 2x - 1

The input of the function is "x" and output of function is "y"

By substituting the given input value of "x" in the function rule, we will get the output of function

y = 2x - 1

Plug in x = -6 in above function rule

y = 2(-6) - 1

y = -12 - 1

y = -13

Therefore the output of function is -13

Trina's car uses 10 gallons of gas to travel 120 miles. If she has 5 gallons of gas in the tank, how much more gas will she need to drive 204 miles?​

Answers

Answer: 12 gallons

Step-by-step explanation:

Use proportion to estimate how much gas she needs for 204 miles.

10:120=x:204

204*10=120x

x=2040/120

x=17 gallons

For 204 mile trip Trina needs 17 gallons of gas. She has 5 gallons.

17-5=12

She will need 12 gallons of gas.

ASAP Need this answer, would appreciate it.

Answers

Answer:

Let's begin by explaining the following:

The magnitude of any number (a charge in this particular case) is the distance this number has from 0 on the number line.

Now, since according physics a distance can never be negative, the magnitude of a number will always be positive. This means the magnitude of these given charges will always be positive, no matter if they are negative, positive or neutral.

Having this clarified, let's answer:

Element A has a charge of +5 and its magnitude is +5

Element B has a charge of -3 and its magnitude is +3

Element C has a charge of 10 and its magnitude is +10

When Steve woke up. His temperature was 102º F. Two hours later it was 3º lower. What was his temperature then?

Answers

Answer:

Steve's temperature now is 99 degrees.

Step-by-step explanation:

102 degrees- 3 degrees=

99 degrees.

Final answer:

Steve's temperature was 102º F when he woke up. Two hours later, his temperature had dropped by 3º F, thus making his temperature 99º F.

Explanation:

The subject of this question is a real-life mathematics reasoning task about temperature change. Based on the given information, Steve's initial temperature when he woke up was 102º F.

According to the problem, Steve's temperature decreased by 3º after two hours.

To find Steve's temperature after the decrease, you simply have to subtract this decrease from the original temperature. So you calculate 102º F - 3º F, which equals 99º F. Therefore, Steve's temperature two hours later was 99º F.

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An employee earns $175 for 15 hours work.
Assuming he is paid by the hour, how much will this employee earn in 18 hours?

Answers

Answer:

$210

Explanation:

175/15 = 11.67

11.67x18 = 210

The amount of money that employees earn in 18 hours with the same rate of change will be $210.

What is the rate of change?

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

An employee earns $175 for 15 hours of work.

Per hour earning = $175/15

Earning in 18 hours will be, 175/15 x 18 = $210

Hence "The amount of money that employees earn in 18 hours with the same rate of change will be $210".

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5. Statistical Literacy What terminology do we use for the probability of

rejecting the null hypothesis when it is true? What symbol do we use for

this probability? Is this the probability of a type I or a type II error?

Answers

Answer:

The correct option is type I error.

Step-by-step explanation:

Consider the provided information.

Type I error is the error occur when we reject the true null hypothesis,

Type II error is the error occur when we fail to reject false null hypothesis.

Now consider the provided information.

The symbol do we use for  this probability is type I error.

Hence, the correct option is type I error.

For the following equation, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the equation. Be sure to include at least two terms from the word bank. Word Bank sum difference product quotient equal variable solution inverse add subtract multiply divide more than less than greater than inequality greater than or equal to less than or equal to equation negative
x/2 + 3 = -5

Answers

Answer:

The solution for the equation is x equal to -16

Step-by-step explanation:

Let's find the solution for x in the equation given:

x/2 + 3 = -5

Multiplying by 2 at both sides of the equation, we have:

x + 6 = -10

Subtracting 6 at both sides of the equation, we have:

x + 6 - 6 = - 10 - 6

x = - 16

The solution for the equation is x equal to -16

Terms used: multiply, subtract, solution, equal to, equation

Final answer:

To solve the equation x/2 + 3 = -5 for x, subtract 3 from both sides to get x/2 = -8. Then multiply both sides by 2 to isolate x, giving the solution x = -16.

Explanation:

To find the solution for the variable x in the given equation x/2 + 3 = -5, we need to use the inverse operations of addition and division. Firstly, we need to eliminate the +3 from the left-hand side of the equation. We apply the inverse operation to addition which is subtraction. Therefore, we subtract 3 from both sides of the equation. This calculates to: x/2 = -5 -3. This can be simplified to x/2 = -8.

Secondly, to solve for the variable x we then need to remove the division by 2 and to do this, we multiply each side of the equation by 2 (the inverse operation of division) because x divided by 2 multiplied by 2 is equal to x. Hence the new equation becomes: 2*(x/2) = 2*-8 and simplifying gives us x = -16.

This process shows that the solution to the equation x/2 + 3 = -5 is x = -16.

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If half the positive difference between 4.81 and 2.25 is multiplied by 0.32, what is the result?

Answers

Answer:0.4096 (Zero and Four Thousand Ninety-Six Ten Thousandths.)Step-by-step explanation:

The distance between 4.81 and 2.25 is 2.56.

Divide 2.56 by 2.

2.56 / 2 = 1.28.

Then multiply 0.38 by 1.28.

128 x 32 = 4096, then move the decimal 4 times to the left.

4096.

The decimal is behind the 6, you need to move the decimal in front of the 4.

Therefore, your result is 0.4096.

Write the equation of the line with a slope of 5 and the point (2, 6) in slope-intercept form

Answers

Answer:

y = 5x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 5, thus

y = 5x + c ← is the partial equation

To find c substitute (2, 6) into the partial equation

6 = 10 + c ⇒ c = 6 - 10 = - 4

y = 5x - 4 ← equation of line

A pizza restaurant charges a flat fee for a plain cheese pizza. There is an extra charge for any additional toppings. The cost of a pizza can be I determined from the equation C = 0.5m + 5, where m is the number of
additional toppings and C is the cost of the pizza ordered. What are the
interpretations of slope and y-intercept in the equation?
A
slope: cost per additional topping
y-intercept: cost of the plain pizza
B. slope: cost per additional topping
y-intercept: cost of the first topping
C. slope: cost of the plain pizza
y-intercept: cost per additional topping
D. slope: ratio of cost of additional topping to the cost of the plain pizza
y-intercept: cost of an additional topping

Answers

The slope of 0.5 represents the cost per additional topping, while the y-intercept of 5 represents the cost of the plain pizza. Option A provides the correct interpretations.

To interpret the slope and y-intercept of the equation C = 0.5m + 5, where  C  represents the cost of the pizza and m represents the number of additional toppings:

A. The correct interpretation is:

- Slope: The slope of 0.5 represents the cost per additional topping. This means that for each additional topping added to the pizza, the cost increases by $0.5.  

- Y-intercept: The y-intercept of 5 represents the cost of the plain pizza without any additional toppings. This is because when m = 0 (no additional toppings), the cost of the pizza is $5, which is the flat fee for the plain cheese pizza.

To confirm:

- When m = 0, the equation becomes C = 0.5(0) + 5 = 5 , which is the cost of the plain pizza without any additional toppings.

- When m = 1, the equation becomes C = 0.5(1) + 5 = 5.5, indicating that the cost increases by $0.5 when one additional topping is added.

Therefore, option A correctly interprets the slope and y-intercept of the equation.

PLEASE HELP ME ASAP!!!! (I included the picture below with the question!!!)
I WILL GIVE BRAINLIEST! PLEASE SOLVE FAST!

Answers

Answer:

[tex]x=30^o[/tex]

Step-by-step explanation:

step 1

Find the measure of angle KNL

we know that

[tex]m\angle KNL+m\angle LNM+m\angle ONM=180^o[/tex]----> by straight angle

we have

[tex]m\angle LNM=45^o[/tex] ---> given problem

[tex]m\angle ONM=105^o[/tex] ---> given problem

substitute the given values

[tex]m\angle KNL+45^o+105^o=180^o[/tex]

[tex]m\angle KNL+150^o=180^o[/tex]

[tex]m\angle KNL=180^o-150^o[/tex]

[tex]m\angle KNL=30^o[/tex]

step 2

Find the value of x

In the right triangle KNL

we know that

[tex]m\angle KNL+m\angle NKL=90^o[/tex] ----> by complementary angles

we have

[tex]m\angle KNL=30^o[/tex]

[tex]m\angle NKL=2x[/tex]

substitute

[tex]30^o+2x=90^o[/tex]

[tex]2x=90^o-30^o[/tex]

[tex]2x=60^o[/tex]

[tex]x=30^o[/tex]

Alberto recently opened a barbecue restaurant in Midtown. He paid for seven large tables to be delivered to the restaurant. If Alberto paid a delivery fee of
$95.45 and each table cost $235.75, what is the total amount Alberto paid?
$1,650.25
$1,626.00
$1,745.70
$1,554.80

Answers

Option C

Total amount paid by Alberto is $ 1745.7

Solution:

Given that Alberto paid for seven large tables to be delivered to the restaurant

Alberto paid a delivery fee of  $95.45

Cost of 1 table = $ 235.75

To find: total amount Alberto paid

cost of seven tables = cost of 1 table x 7

[tex]\text {cost of seven tables }=235.75 \times 7=1650.25[/tex]

Total amount paid = cost of seven tables + delivery fee

Total amount paid = 1650.25 + 95.45

Total amount paid = 1745.7

Thus total amount paid by Alberto is $ 1745.7 Therefore option C is correct

Paul brought and sold a computer .he wrote his business activity as followers cost price of computer =$1064 marked price of computer =$1399 discount on marked price =5%

Answers

Answer:

Profit = $265.04.

Selling price = $1329.05

Step-by-step explanation:

Paul brought a Computer at a cost price of $1064.

Now ,

The marked price of the computer is given as $1399.

Also,

He is giving a total discount of 5% on  the marked price of the computer i.e., $1399.

So, The selling price of computer will become 95 percent of $ 1399 which equals  $1329.05.

Thus Paul sold the computer at a profit of $1329.05 - $1064

= $265.04.

Answer:

A) selling price of computer is $1329.05

B) Profit is $265.05

C) Profit percentage = 24.9%

Step-by-step explanation:

Given as :

The cost price of computer = c.p = $1064

The marked price of computer = m.p = $1399

The marked percentage discount = d = 5%

Let The selling price of computer = s.p

Now, According to question

discount% = [tex]\dfrac{m.p - s.p}{m.p}[/tex]

Or, d% =  [tex]\dfrac{m.p - s.p}{m.p}[/tex]

Or, 5% =  [tex]\dfrac{1399 - s.p}{1399}[/tex]

Or,  [tex]\dfrac{5}{100}[/tex] = 1 -  [tex]\dfrac{s.p}{1399}[/tex]

Or,  [tex]\dfrac{s.p}{1399}[/tex] = 1 - [tex]\dfrac{5}{100}[/tex]

Or,  [tex]\dfrac{s.p}{1399}[/tex] =  [tex]\dfrac{95}{100}[/tex]

∴  s.p = [tex]\dfrac{95}{100}[/tex] × 1399

Or, s.p = $1329.05

So,The selling price of computer = s.p = $1329.05

Now, Profit = selling price - cost price

or, p = s.p - c.p

Or, p = $1329.05 - $1064

∴ Profit = $265.05

Now, Profit % = [tex]\dfrac{\textrm profit}{c.p}[/tex]

Or, p% =  [tex]\dfrac{\textrm 265.05}{1064}[/tex]

∴  p% = 0.249

i.e p = 0.249 × 100

So, profit percentage = 24.9%

Hence, A) selling price of computer is $1329.05

B) Profit is $265.05

C) Profit percentage = 24.9%    Answer

Daniel is selecting a sock from his drawer.
He chooses a sock at random, does not
replace it, and then selects a second sock at
random. What is the probability that Daniel
selected a solid sock both times?

Answers

Answer:15/28

Step-by-step explanation: Ive had this question before That is the answer :)

Final answer:

To find the probability of selecting a solid sock both times from Daniel's drawer, multiply the probabilities at each step independently to get 1/105 or approximately 1% in total.

Explanation:

To calculate the probability of selecting a solid sock both times, you need to consider the independent probabilities at each step.

Probability of selecting a solid sock the first time is 1/7.

Probability of selecting a match for the second sock from the remaining socks would be 1/5.

Continuing this pattern, the total probability of selecting a solid sock both times is 1/105 or about 1%.

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