The area of a rectangular wall of a barn is 119 square feet. its length is 10 feet longer than the width find the length and the width. Find the length and width of wall of the barn

Answers

Answer 1

The length of the rectangular wall of a barn is 7 and the width is 17 feet

Area of the rectangular wall of a barn = 119 square feet

Length of the wall of the barn = width of barn + 10 feet

Let the width of the wall of the barn be x feet

So, the length of the wall of the barn will be x + 10 feet

The area of the rectangular wall of the barn is given by:

Area of the rectangular wall of the barn = Length of the barn * Width of the barn

119 = x*(x+10)

119 = x^2 +10x

0 = x^2 +10x - 119

Using splitting the middle term method

0 = x^2 + 17x - 7x - 119

0 = x(x + 17) - 7(x + 17)

x = 17 or 7.

Since the width is 10 feet more than the length

Therefore, the length of the rectangular wall of a barn is 7 and the width is 17 feet

Learn more about algebra:

https://brainly.com/question/24875240

#SPJ1


Related Questions

What is the solution to the system of equations?
7x-y=6
-7x+y=-6

Answers

Answer:

x= 7/ y+6

Step-by-step explanation:

Add y to both sides.

7x=6+y

The equation is in standard form.

7x=y+6

Divide both sides by 7.

7

7x = 7/y+6

​Dividing by 7 undoes the multiplication by 7.

Step-by-step explanation:

that's what I think it isx=7/y+6

4x = y + 3
8x - 3= 2y
Graph the system

Answers

the lines are parellel

can I get help with this Problem ​

Answers

2x + 2y = 14
3x + 7y = 29

6x + 6y = 42
6x + 14y = 58
-8y = -16
-y = -2
y = 2

Drinks cost $2 each.

6x + 12 = 42
6x = 30
x = 5

Tacos cost $5 each

At the movie theatre, child admission is 5.50 and adult admission is 9.20. On Monday, three times as many adult tickets as child tickets were sold, for a total sales of 662.00 . How many child tickets were sold that day?

Answers

Answer is 20 child tickets

Step by step

Let child tickets be “C”
Let adult tickets be “A”

We know
Adult tickets = 3 Child tickets
Equation 1
A = 3C

We know C = 5.50 and A = 9.20 and the total is 662

Equation 2
5.50C + 9.20A = 662

Substitute equation 1 value of A into the equation and solve

5.50C + (9.20)(3C) = 662

5.50C + 27.60C = 662

33.10C = 662

Divide both sides by 33.10 to solve for C

33.10 /33.10 C = 662

C = 20

20 child tickets sold

We can solve for adult tickets and check our work

Equation 1
A = 3C
Substitute C value into equation

A = (3)(20)

Adult tickets = 60

We know C = 5.50 and A = 9.20 and the total is 662

5.50C + 9.20A = 662

(5.50)(20) + (9.20)(60) = 662

110 + 552 = 662

662 = 662

We are correct they equal
Problem solved!!



center at (2, -2) and twice the area of the circle (x, -7)² + (y, -7)² =7​

Answers

Answer:

[tex](x-2)^2+(y+2)^2=14[/tex]

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where:

(a, b) is the center of the circle.r is the radius of the circle.

Given equation:

[tex](x-7)^2+(y-7)^2=7[/tex]

Therefore:

center = (7, 7)radius = √7

Area of a circle

[tex]\sf A=\pi r^2[/tex]

where:

r is the radius.

Therefore, the area of a circle with radius √7 is:

[tex]\implies \sf Area=\pi \left(\sqrt{7}\right)^2=7 \pi\:\:square\:units[/tex]

Therefore, a circle with twice the area would be:

[tex]\implies \sf Area = 2 \cdot 7 \pi = 14 \pi \:\: square\:units[/tex]

Therefore, its radius would be:

[tex]\begin{aligned}\implies \sf \pi r^2 & = \sf14 \pi\\\sf r^2 & = \sf 14\\\sf r & = \sf \sqrt{14}\end{aligned}[/tex]

So the equation of a circle with a center at (2, -2) and a radius of √14 is:

[tex]\implies (x-2)^2+(y-(-2))^2=\left(\sqrt{14}\right)^2[/tex]

[tex]\implies (x-2)^2+(y+2)^2=14[/tex]

if DF = 9x-39 find EF
DE = 47
EF = 3X+10

Answers

The length of the line segment EF is 106.

The distance between the end points of DF is equal to 9x-39.The distance between the end points of DE is equal to 47.The distance between the end points of EF is 3x + 10.Applying the logic that the line segments are a part of the same straight line, we can conclude thatThe length of the line segment DF is equal to the sum of the lengths of the line segments DE and EF.DF = DE + EF.9x - 39 = 47 + (3x + 10)9x - 6x = 47 + 10 + 393x = 96x = 32The length of the line segment EF is 3*32 + 10.The length of the line segment EF is 96 + 10.Thus, the length of the line segment EF is 106.

To learn more about distance, visit :

brainly.com/question/15256256

#SPJ1

find values for x so that the perimeter of the figure is less than 100 meters

Answers

Answer:

x=21

Step-by-step explanation:

21*2+25*2=92

Answer:

x < 23

Explanation:

perimeter of a rectangle = 2(length + width)

Here given:

Length = x + 4Width = x

Setting equation:

[tex]\sf \rightarrow 2(x + 4 + x) < 100[/tex]

[tex]\sf \rightarrow 2(2x + 4) < 100[/tex]

[tex]\sf \rightarrow 4x + 8 < 100[/tex]

[tex]\rightarrow \sf 4x < 100 - 8[/tex]

[tex]\sf \rightarrow4x < 92[/tex]

[tex]\sf \rightarrow x < 23[/tex]

Simplify the expressions:
−8y³ x 5y8

Answers

When multiplying terms with exponents, the exponents add up. Exponents 3 and 8 wii equal 11.

I hope this helps.

Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.

Step-by-step explanation:

You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.

Hope this helps! Have a good day :)

Enter the value of 3/4(8.8)=

Answers

Answer:

6.6 is the answer

Step-by-step explanation:

Hope it helps you

PLEASE ANSWERING THIS QUESTION QUICKLY!

When f(x)=9x^2-x-2, evaluate f(-3)

f(-3)= (blank)

Explain your answer!

Show your work!

Do not spam answers!

No nonsense answers!

No incorrect answers!

Thanks!

Answers

Answer:

f(-3)= 9(-3)^2+3-2= 9(9)+3-2= 81+1 = 82

f(-3) = 82
Explain answer
f (x) = 9x little 2- x -2
f (-3)= 9 x(-3) little 2-(-3)-2
f(-3)=82
Hope it helps

Decide what values of the variable cannot possibly be solutions for the equation. Do not solve.

Answers

By inspecting the denominator, the values of x cannot be solutions of the rational equation are x₁ = - 3 and x₂ = 2.  

What values does lead to an indetermination in a rational equation?

A rational equation is an expression of the P(x) / Q(x), where P(x) and Q(x) are the equations of the numerator and the denominator functions. The rational equation becomes undefined for all x-values such that Q(x) = 0. Then, we must look up for all values of x such that:

x² + x - 6 = 0

x² + [3 + (- 2)] · x - 6 = 0

x² - 2 · x + 3 · x - 6 = 0

x · (x - 2) + 3 · (x - 2) = 0

(x + 3) · (x - 2) = 0

x₁ = - 3 ∨ x₂ = 2

The values of x cannot be solutions of the rational equation are x₁ = - 3 and x₂ = 2.  

To learn more on rational equations: https://brainly.com/question/28402898

#SPJ1

7th- grade question
7. Billy cut the grass for 3/5 of an hour on Monday and 3/10 of an hour on
Tuesday. What fraction of an hour did he spend cutting grass for the two
days?
A. 1/5
B. 2/5
C. 5/10
D. 9/10

Answers

Answer:

The answer is c because if you multiply 3/5 and 3/10 by doing butterfligt

You get hired for a job through ACME Employment Agency. You signed a contract that requires you to pay 20% of your first 6 weeks pay. The job pays you $42,700 per year. How much must you pay ACME for their services?

Answers

Assuming you get paid every week.
Total num of weeks in a year = 52
Therefore weekly salary = 42,700/52 = 821.15
Salary of first 6 weeks = 821.15 * 6 = 4926.92
20% of first 6 weeks salary = 0.2 * 4926.92 =985.38

You must pay the ACME $985.38

How many different​ 10-letter words​ (real or​ imaginary) can be formed from the following​ letters? E, T, A, R, N, I, T, C, F, R Question content area bottom Part 1 enter your response here ​ten-letter words​ (real or​ imaginary) can be formed with the given letters.

Answers

Answer:

10! or 3628800 words

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

Given 10 letters and we are looking for the number of 10-letter words.

This is about the permutation of 10:

[tex]_{10}P_{10} = 10! = 3628800[/tex]

IF YOUR GOOD AT MATH PLEASE HELP ME PLEASE!

Answers

Here are the inequalities:

x ≥ 8

x < 3

x ≤ 3

x ≤ 8

x < 8

x ≥ 3

What are the inequalities?

Here are inequality signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

for example :

2 < 3 means 2 is less than 3

3 >2 means 3 is greater than 2

Steps to interpret an inequality graph :

If the circle above the number is colored, the inequality sign to use is either ≥ or ≤.

If the circle above the number is not colored, the inequality sign to use is either < or >.

If the arrow is pointing to the left, the inequality sign would either be ≤. or <.

If the arrow is pointing to the right, the inequality sign would either be ≥ or >.

To learn more about inequality, please check: https://brainly.com/question/5031619

#SPJ1

Multiply.
9/4 ⋅ 14

A. 23/4
B. 28
C. 63/2
D. I don't know.

Answers

Answer:

C. 63/2

Step-by-step explanation:

[tex] \frac{9}{4} \times 14 \\ = \frac{9}{4} \times \frac{14}{1} \\ = \frac{9 \times 7}{2} = \frac{63}{2} \\ please \: if \: found \: helpful \: rate \: brainliest.[/tex]

The answer is 63/2

I got 100% on the test

I hope this helps!

Proof that this answer is correct and not fake

Add (4) and (−15) if right i will give brainliest

−11

−19

19

11

Answers

-11 is the answer to this question

Answer:-11

Step-by-step explanation:

-15 + 4 = -11

Eli runs a distance of 3 miles in 2/5 of an hour. jess runs a distance of 4/5 mile in 1/10 of an hour. who had the faster speed

Answers

Jess had a faster speed of 8 miles/hour

Given:

3 miles in 2/5 hour

4/5 miles in 1/10 hour

To find the quotient, we must switch to the inverse approach,

where 2/5 becomes 5/2 and 1/10 becomes 10/1.

For Eli:

A distance of 3 miles is covered in 2/5 of an hour.

3 miles equals 2/5*1

3 miles equals 2/5 hour

The inverse amount is multiplied as

3*5/2 miles = 1 hour.

7.5 miles

Eli moves at a 7.5 mph speed.

For Jess:

1/10 of a mile is covered in 4/5miles.

1/10 * 1 hour times 4/5 miles

1/10 hour equals 4/5 miles.

The inverse number is multiplied as follows: 4/5 * 10/1 = 1 hour.

40 miles at a speed of 5 miles per hour.

1 hour Equals 8 miles

Jess's speed is 8 miles per hour.

Hence, Jess had a faster speed of 8 miles per hour

To know more about Algebra visit:

brainly.com/question/13715639

#SPJ9

Evaluate-nx + x when x = 2.

Answers

Answer:

-2n + 2

Step-by-step explanation:

They give you the X value which is 2

All you do is substitute

-2n + 2

Hope this helped

Kiara and Donovon attend different middle schools. They both went to their schools’ winter carnivals. Kiara paid a $5 entrance fee and bought several tickets costing $0.75 each for games and rides. Donovon paid a $7 entrance fee and bought several tickets costing $0.50 each for games and rides. How many tickets, , must Kiara and Donovan each buy in order for the cost of attending their school carnivals to be the same?

Answers

Using linear functions, it is found that they have to buy 8 tickets for the costs to be the same.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For the functions in this problem, we consider that:

The entrance fee is the intercept.The cost for carnivals(games/rides) is the slope.

Hence the cost functions for Kiara and Donovon are given, respectively, by:

K(x) = 5 + 0.75x.D(x) = 7 + 0.5x.

The costs will be the same when:

K(x) = D(x)

5 + 0.75x = 7 + 0.5x.

0.25x = 2

x = 2/0.25

x = 8.

They have to buy 8 tickets for the costs to be the same.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

NEED OF IMMEDIATE HELP

Answers

It is biased because there is over 100 answers there on the graph..If he asked 100 workers then there should only be 100 not 150…

Answer:

There are no sampling errors, as all numbers add up to 100, however, there is a bias, as the highest number is 52 for movies, and the person who conducted the survey was a movie theater manager to his own customers.

Express 60 as the product of its prime factors
Write the factors in as ascending order and give your answer in index form

Answers

Answer:

2^2 × 3 × 5

Step-by-step explanation:

hope this works :)

A cube-shaped box has a side length of 6n³ centimeters. Amelia has several cube-shaped blocks with a side length of 2n centimeters that she needs to store in the box. what is the volume of one block? what is the volume of the box​

Answers

The volume of blocks is 8n³ cm³ and volume of box is 216 n⁹ cm³.

According to the question we have been given that the

  side length of the cube shaped box = 6n³ cm

  side length of the cube shaped blocks = 2n cm

We need to find the volume of the box and the blocks.

The formula for the volume of cube is

                      V = (s)³ cubic units.

     where, s = side length of the cube

Now putting the required values in the above formula we get

  volume of box = (6n³)³ cm³

                         = 216 n⁹ cm³  

 volume of the blocks = (2n)³ cm³

                                   = 8n³ cm³

Hence the volume of blocks is 8n³ cm³ and volume of box is

216 n⁹ cm³.

Learn more about volume of cube here : https://brainly.com/question/25248189

#SPJ9

help me out please!!!!​

Answers

Answer:

I believe the Answer is C.

Step-by-step explanation:

HELPPPOOOOMEEEEEEW PLEASE

Answers

Answer: 124 degrees

Step-by-step explanation:

JKL=YKL+JKY

10x+14=6x-6+64

10x+14=6x+58

4x+14=58

4x=44

x=11

JKL=10x+14

JKL=10(11)+14

JKL=110+14

JKL=124 degrees

Please Help Me! Will be brainlest


E=-7g^4+3g^2h^2-11h^4

F=6g^4-13g^2h^2+8h^4

E+F=

Answers

The addition of the given expression "E = - 7g⁴ + 3g²h² - 11g⁴" and "F = 6g⁴ - 13g²h² + 8h⁴" is "- g⁴ - 10g²h² - 3g⁴"

Exponent

E = - 7g⁴ + 3g²h² - 11g⁴

F = 6g⁴ - 13g²h² + 8h⁴

E + F = (- 7g⁴ + 3g²h² - 11g⁴) + (6g⁴ - 13g²h² + 8h⁴)

= - 7g⁴ + 3g²h² - 11g⁴ + 6g⁴ - 13g²h² + 8h⁴

collect like terms

= -7g⁴ + 6g⁴ + 3g²h² - 13g²h² - 11g⁴ + 8h⁴

evaluate

= - g⁴ - 10g²h² - 3g⁴

Therefore, the addition of the given expression "E = - 7g⁴ + 3g²h² - 11g⁴" and "F = 6g⁴ - 13g²h² + 8h⁴" is "- g⁴ - 10g²h² - 3g⁴"

Learn more about exponent:

https://brainly.com/question/11975096

#SPJ1


A 75% antifreeze solution is to be mixed with a 90% antifreeze solution to get 360 liters of a 85% solution. How many liters
of the 75% and how many liters of the 90% solutions will be used?

Answers

In linear equation , 240 liters of 90% solutions will be used.

What are a definition and an example of a linear equation?

A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.

Let x be the quantity of 75% antifreeze solution and y be the quantity of 90% antifreeze solution,

Since, the total quantity of the mixture = 360,

⇒ x + y = 360 ----- (1),

Also, the resultant solution is of  85% antifreeze solution,

⇒ 75 % of x + 90% of y = 85% of 360

0.75x + 0.90y = 0.85 × 360

0.75x + 0.90y = 306

75x + 90y = 30600 -----(2),

Equation (2) - 75 × equation (1),

We get,

15y = 3600

⇒ y = 240

Hence, 240 liters of 90% solutions will be used.

Learn more linear equation

brainly.com/question/11897796

#SPJ9

7 grade

1. Andrea walked 1/2 miles in 1/3 of an hour at a constant speed. What was that speed?

A. 1 miles per hour

B.1.25 miles per hour

C.1.5 miles per hour

D.2.5 miles per hour

Answers

Answer:

C

Step-by-step explanation:

0.5 of a mile in 20 minutes

60/20=3

0.5*3=1.5

Correct answer is C

{x€N | 25 ≤ x² < 50}

Answers

Answer:

x = { 5; 6; 7}

Step-by-step explanation:

25 ≤ 25 < 36 < 49 < 50

=> x² = {25; 36; 49}

Because x€N => x = {5; 6; 7}

The sum of a daughter and mother's age is 55. The age of the daughter is the
mother's age reversed. Find the age of the daughter if the age of the mother is
greater than 40 years.

Answers

The daughter is 14. And the mother is 41
Other Questions
Which of these would be an example of an internal conflict? 23. Cul de las siguientes acotaciones es correcta para el enunciado:"Oye, huele como a zopilote"?A) (los zopilotes son apestosos).B) (la mujer era quejumbrosa).OC) (hace un gesto de disgusto).OD) (dijo y sac al zopilote). The adverb in the following sentence isHe collects monthly for the paper. Discuss the history of terrorism. Calculate the volume of this regular solid.Intro8 cmWhat is the volume of TLRound at the end to the nearest tenth.cmDone 2. In which year was more plastic recycled than combusted with energy recovery? *O A. 2000O B. 2010O C. 2018D.Enone of the years The library loans 4 times as many non-fiction books as it does fiction books. Write a rule for the relationship between the two variables. Use n for non-fiction and f for fiction. which pattern of speech organization would be best if you are giving a speech about different types of jobs available for a medical assistan How could men change their Social standing in the Qing & Ottoman Empires? the health care provider (hcp) prescribes an intramuscular injection of vitamin k for a term neonate. the nurse explains to the mother that this medication is used to prevent which problem? use your knowledge of the development of mans claims to his rights to create a timeline of history that shows one event led to the next. parliament claims the rights of citizens with the petition of right. feudal lords force king john to sign the magna carta. the english bill of rights expands more rights to commoners. reset next Which of the following quantities is equivalent to 3.7 cm? A. 3.710 km B. 3.710 m C. 3.710 mm D. 3.710 mm E. 3.710 m GIVING BRAINLEST PLEASE 1. According to Lincoln, what motives did General Cass and Judge Douglas have for supporting Nebraskaism? In addition to the Bill of Rights,___________ other amendments have been passedsince the Constitution was ratified. A. 17.B. 10C. 7D. 27 In matters of religion, Americans were Concerned that one religion would become more prominent than another. More inclined to be members of an Anglican congregation. More tolerant than their European counterpart. Less tolerant than their European counterpart. What is the value of x in this figure? Enter your answer in the box. hexagon Using the periodic table above and your knowledge of patterns and trends on the table, which of the following elements is the most reactive? (1 pt)*1 pointTitanium (Ti, #22)Silicon (Si, #14)Oxygen (O, #8)Argon (Ar, #18) the primary responsibility of the president and the executive branch is the [blank] of laws. qizlet complte avec " Nous" ou " on"habitons Alexandria - 12(x+12) + 1177 = 10 + 15