The rectangle below has an area of x^2+11x+28x 2 +11x+28x, squared, plus, 11, x, plus, 28 square meters and a length of x+7x+7x, plus, 7 meters. What expression represents the width of the rectangle?

Answers

Answer 1

Answer:

[tex]Width = x + 4[/tex]

Step-by-step explanation:

Given

Shape: Rectangle

[tex]Area = x^2 + 11x + 28[/tex]

[tex]Length = x + 7[/tex]

Required

Determine the width

For a rectangle:

[tex]Area = Length * Width[/tex]

Substitute values for Length and Area

[tex]x^2 + 11x + 28 = (x + 7) * Width[/tex]

Factorize the expression on the left hand side

[tex]x^2 + 7x + 4x + 28 = (x + 7) * Width[/tex]

[tex]x(x + 7) + 4(x + 7) = (x + 7) * Width[/tex]

[tex](x + 7)(x + 4) = (x + 7) * Width[/tex]

Divide both sides by x + 7

[tex]Width = x + 4[/tex]


Related Questions

y=x-12 y=13 solve for x

Answers

Answer:

Step-by-step explanation:

x - 12 = 13

x = 25

y = 12

Answer:

x=25

Step-by-step explanation:

y=x-12....eq1

y=13.... eq2

Substituting eq2 in 1:-

13=x-12

x=12+13=25

the area of a parallelogram is 96cm^2 of the figure is 6 cm. What is the height?​

Answers

The height is 16cm here is the formula in a picture

Write each percent as a fraction in simplest form 2 2/5%

Answers

Answer:

12/5%

Step-by-step explanation:

12/5 %

that's it cuz u can't divide them

A polling company reported that 33​% of 2302 surveyed adults said that they play basketball. Complete parts​ (a) through​ (d) below.a. What is the exact value that is 33% of 2302?b. Could the result from part a be the actual number of adults who said that they play football? why or why not?c. What could be the actual number of adults who said that they play football?d. Among the 2302 respondents, 272 said that they only play hockey. what percentage of respondents said that they only play hockey?

Answers

Answer:

(a) The exact value that is 33% of 2302 is 759.66.

(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball.

(c) The actual number of adults who said that they play basketball is 760.

(d) 11.82% of respondents said that they only play hockey.

Step-by-step explanation:

We are given that a polling company reported that 33​% of 2302 surveyed adults said that they play basketball.

(a) The exact value that is 33% of 2302 is given by;

[tex]33\% \text{ of } 2302[/tex] = [tex]\frac{33}{100}\times 2302[/tex]

                   = 759.66

(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball because the value in part (a) is in fractions or in decimals and the number of people can't be in fractions. It must be a whole number.

(c) The actual number of adults who said that they play basketball is 760. {As 759.66 rounded to one decimal point}

(d) It is given that among the 2302 respondents, 272 said that they only play hockey.

Percentage of respondents who said that they only play hockey is given by;

=  [tex]\frac{272}{2302}\times 100[/tex]  = 11.82% ≈ 12%

a) The exact value of [tex]33[/tex]% of [tex]2302[/tex] is,

[tex]=\frac{33}{100}\times 2302[/tex]

[tex]=759.66[/tex]

b) [tex]759.66[/tex] is not the actual number of adults who said that they play football as the actual number should be a whole number and not a rational number with decimal values.

c) The actual number could be a rounded one i.e. [tex]760[/tex].

d) Let [tex]272[/tex] be [tex]x[/tex]% of [tex]2302[/tex].

[tex]\Rightarrow \frac{x}{100}\times 2302=272\\\Rightarrow x=\frac{272\times 100}{2302} \\\Rightarrow x=11.8158 \ or \ 11.82[/tex]%

Therefore, [tex]11.82[/tex]% of respondents said that they only play hockey.

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Find the slope of the line passing through each of the following pairs of points: (7, −3), (8, −7)

Answers

Answer:

m=-4

(the slope is negetive 4)

Step-by-step explanation:

Answer:

[tex]-4[/tex]

Step-by-step explanation:

Start with point-slope form:

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

Identify your values.

[tex]x_1=7\\x_2=8\\y_1=-3\\y_2=-7[/tex]

Substitute.

[tex]\frac{-7-(-3)}{8-7}[/tex]

The [tex]-3[/tex] becomes positive as it is being multiplied by a negative.

[tex]\frac{-7+3}{8-7}[/tex]

Combine like terms.

[tex]\frac{-4}{1}[/tex]

Rewrite.

[tex]-4[/tex]

find the difference. 2g/g^2-g-6 - 1/g-3​

Answers

Answer:

2g   -      1

g²-g-6     g-3

2g        -  1

(g-3)(g+2)  g-3

take lcm

2g- 1(g+2)

(g-3)(g+2)

g-2

g²-g-6

Step-by-step explanation:

Step-by-step explanation:

answer is g-2/ g^2-g-6

mark this as brainliest!

how many million miles are between the earth and sun ?​

Answers

91 million miles (146 million km)

write the converse of the following statement

if it stops raining then I will go to the park​

Answers

If it’s stops raining.

To calculate simple interest, the amount of interest, I, can be found using this formula, where P is the principal, r is the interest rate, and t is time: I=Prt Which formula can be used to determine the interest rate when the other variables are known? a.) r=IPt b.)r=I/Pt c.)r=IP/t d.) r=Pt/I

Answers

Answer:

b

Step-by-step explanation:

I = Prt  Solve the equation for r

I  =  Prt   Divide both sides by Pt to get r on one side of the equation by itself

Pt      Pt     Cancel the P and t on right side as P/P and t/t = 1

This leaves:    I = r   or r = I

                       Pt                 Pt

The interest rate formula with other known variables is R=I/PT. Therefore, the correct answer is option B.

The given simple interest formula is I=PRT.

Where, P is the principal, r is the interest rate, and t is time.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

To calculate the interest rate:

By rearranging the formula I=PRT, we get

R=I/PT

Therefore, the correct answer is option B.

To learn more about the simple interest visit:

https://brainly.com/question/25845758.

#SPJ4

1/3 - 1/2 x 1/2 ?? Help please

Answers

Answer:

1/2

Step-by-step explanation:

1

3

1

2

(1)

2

=

1

3

1

2

2

=

1

3

1

4

=

1/12

HELP NOW!! QUES^TION IN PICTURE

Answers

Answer:

Its b

Step-by-step explanation:

I did the unit test

ITSSSSSSSS B okkkkkkk

What is the additive inverse of t ? *

Answers

Answer:

-t

Step-by-step explanation:

Additive inverse of t:

t*-1 = -t

-t would be the inverse!

g=4a - 4, for a
how do u solve that.

Answers

Answer: g -4/a

Step-by-step explanation:

The sum of two consecutive whole numbers is 171, What are the two numbers?

Answers

Answer:

85 + 86 = 171

Step-by-step explanation:

Just divide 171 by 2 = 85.5, so it pretty clear the rest is just logic.

(85.5 - 0.5) + (85.5 + 0.5) = 171

The table shows a relationship between X^ - values. Which statement describes the pattern created by the values ?

Answers

Answer:

is that i-ready

Step-by-step explanation:

What is the ratio of the circumferences for two circles with areas 6pi m2 and 150pi m2?

1:10
1:5
1:25
1:50

Answers

Answer:

c

Step-by-step explanation:

This would be 1:25 (C)

How many thousands are in 30 hundreds

Answers

Answer:

3

Step-by-step explanation:

30 hundreds = 30*100 which = 3000 and 3000/1000 = 3

Answer:

3

Step-by-step explanation:

30x100=3000 is the answer to solving your problem

Adam borrowed money to buy a new car. The bank now has a lien on the car. What could happen if Adam doesn't make his payments on time?
A.
The bank could sell the car.
B.
The bank could lend him more money.
C.
The bank could exchange his new car for an old one.

Answers

Answer:

A. The bank could sell the car

Step-by-step explanation:

Answer:

A. the bank could sell the car

the reason is when he falls behind on payments the bank will take the car and sell it to get their money back i think

PLS HELP The lines below are parallel. If the slope of the green line is -3/4, what is the slope of the red line?​

Answers

Answer:

-3/4

Step-by-step explanation:

Surely it's the same since they're parallel??

Please someone help! It’s not very complicated
Show how u got the answer!

Answers

Answer:

1891

Step-by-step explanation:

night 1: 4000 seats- 2950 seats= 1050 empty.

night 2: 4000 seats- 3159 seats= 841 empty.

1050+841= 1891 empty seats for the two nights.

Hope this helps! ;)

Answer:

total seats for two night= 4000*2=8000

seat occupied= 3159+2950= 6109

Total empty seat= 8000-6109=1891

Step-by-step explanation:

evaluate the expression when y=3
y²-7y-4​

Answers

Answer:

-16

Step-by-step explanation:

3^2-7(3)-4

Lou drives at 65 mi/h. Write an expression for the number of miles that Lou drives t hours.

Answers

Answer:

The expression for the number of miles that Lou drives t hours is t*65

Step-by-step explanation:

Two quantities are directly proportional when, when one of them is multiplied or divided by a number, the other is multiplied or divided respectively by the same number.  That is, the relationship between the magnitudes is direct when one magnitude increases and so does the other (or when one magnitude decreases, so does the other).

The direct rule of three is used when the problem deals with two directly proportional quantities and is used to solve proportionality problems between three known values ​​and one unknown, establishing a proportional relationship between all of them as follows:

a ⇒ b

c ⇒ x

So [tex]x=\frac{c*b}{a}[/tex]

In this case the rule of three can be applied in the following way: if in 1 hour Lou travels 65 miles, in t hours how much distance does he travel?

[tex]distance=\frac{t*65 mi}{1 h}[/tex]

distance=t* 65

The expression for the number of miles that Lou drives t hours is t*65

A square-shaped park has an area of 324 yd2. What are the dimensions of the park?

Answers

Answer:

18 yards

Step-by-step explanation:

[tex]\sqrt{324}[/tex] = 18

Answer:

the dimensions are 81

Step-by-step explanation:

A 3-column table with 3 rows. Column 1 is labeled Scale factor with entries one-half, 1, 3.2. Column 2 is labeled Width with entries A, 10 feet, C. Column 3 is labeled Length with entries B, 18 feet, 57.6 feet.

The value of A is .
answer: 2,5,8,20

The value of B is .
answer: 8,9,27,36

The value of C is .
answer: 20,22,30,32

for Edg

Answers

Answer:

A=5

b=9

c=32

Step-by-step explanation:

The residual value when x = 3 for a function y = 2.69x - 7.95 is 0.12

What is an equation?

An equation is an expression that shows the relationship between two or more number and variables.

Here, we have,

Given the equation:

y = 2.69x - 7.95

When x = 3:

y = 2.69(3) - 7.95 = 0.12

The residual value when x = 3 for a function y = 2.69x - 7.95 is 0.12

Find out more on equation at:

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complete question;

A data set is shown in the table. The line of best fit modeling the data is y = 2.69x – 7.95.

A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries negative 5.1, negative 3.2, 1.0, 2.3, 5.6.

What is the residual value when x = 3?

–0.88

–0.12

0.12

0.88

an ice machine makes 1 1/2 pounds of ice every 1/2 hour. witch graph shows this proportional relationship?​

Answers

Answer:

4th one

Step-by-step explanation:

The graph that represents the situation is required.

The correct option is option 2.

Here the [tex]x[/tex] axis denotes the number of hours and

[tex]y[/tex] axis denotes the pounds of ice.

The given ordered pair is

[tex](\dfrac{1}{2},1\dfrac{1}{2})=(0.5,1.5)[/tex]

At zero hours the ice produced will be zero so, the third and fourth options are incorrect.

The only graph where the line passes through [tex](0.5,1.5)[/tex] is option 2.

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Help please, I will give a brainly to whoever has it done first

Answers

Answer:

297/40 or 7.425

Step-by-step explanation:

Hope this helped

To find the volume you got to multiply W by H and L

State whether the data described below are discrete or continuous, and explain why.
The number of car accidents on a given stretch of highway each year
Choose the correct answer below.
O A. The data are continuous because the data can take on any value in an interval.
OB. The data are discrete because the data can take on any value in an interval.
C. The data are continuous because the data can only take on specific values.
D. The data are discrete because the data can only take on specific values.

Answers

Answer: D. The data are discrete because the data can only take on specific values.

Step-by-step explanation:

Discrete data refers to data that has a specific value in a specific period and so can be counted as opposed to continuous data that cannot be counted as it goes on to infinity. An example of continuous data would be the height of students in a class. This is continuous because a person's height could be 1.02325845...... metres.

The number of car accidents on a particular stretch of highway can be counted and the data can only take on a specific value thereby making it discrete data.

In this exercise we have to use the knowledge of distance to understand which the best alternative corresponds to car accidents, in this way we find that:

Letter D. The data are discrete because the data can only take on specific values.

Discrete information in visible form refers to data that bear a distinguishing value fashionable a distinguishing period accordingly can be check in order as opposite to continuous information in visible form that cannot be deem as it continue to infinity.

An instance of constant data hopeful the height of person actively learning fashionable a class. This is constant cause a person's crest could be 1.02325845 metres.

The number of vehicle driven on streets accidents in contact a particular stretch of heavily traveled maybe have importance and the data can only oppose a particular financial worth by that making it discrete information in visible form.

See more about distance at brainly.com/question/989117

a. Write 60,000,000 in words.

Answers

Answer:

The answer is sixty million.

BRAINLIEST ASAP! PLEASE. HELP ME :) I need help with part 2 of the question.

Answers

Part 2:

-4a + 2 + 11a = 5a + 3 + 2a

~Combine like terms

7a + 2 = 7a + 3

~Subtract 2 to both sides

7a = 7a - 1

~Subtract 7a to both sides

0 = 1

Therefore, there are no solutions.

Best of Luck!

-4a+2+11a=5a+3+2a
7a+2=7a+3
2=3 where 2 is not equal to 3, which the relationship of these equation are invalid.

Hence the solution set is a empty set since there is no solution available.

Hope this can help.

a equal t added to 258


write the sentence as an equal ​

Answers

Answer:

A=t+258

Step-by-step explanation:

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