Mathematics College

The area of a rectangular wall of a barm is 140
Square feet. its length is 6 feet longer than twice its
width. Find the length and width of the wall of the barn.

Answers

Answer 1

Answer:

length = 20 feet

width = 7 feet

Step-by-step explanation:

This problem can be solved using a system of equations. Using the given information, you can formulate 2 equations:

l*w = 140

l = 2w + 6

In order to solve this system of equations, you can use the Substitution Property of equality to substitute the l in the first equation for (2w + 6) in order to find the width:

where l*w = 140 and l = 2w + 6,

1. (2w + 6)*w = 140

2. 2w^2 + 6w = 140

3. w^2 + 3w = 70

4. w^2 + 3w - 70 = 0

5. (w - 7) (w + 10) = 0

6. w = 7, -10

1. Substitution

2. Simplification

3. Divide both sides by 2

4. Subtract 70 from both sides

5. Factor the left side (find 2 numbers that add to 3 and multiply to -70)

6. Solve for w

The width must be 7 because a width of -10 is impossible. Now, you just need to plug that into the equation to solve for l:

l*w = 140

7l = 140

l = 20

That means that the length is 20 and the width is 7.

Related Questions

what is 5 1/2 plus 5 1/4

Answers

Answer 10.75

......................................

Answer:

10 and 3/4

Step-by-step explanation:

For the fractions, get a common denominator (bottom number): 1/2=2/4

So 2/4 plus 1/4 equals 3/4 and 5+5 equals ten.

10+3/4=10 3/4

Decimal form: 10.75

What is the distance between z1 = 5 - 2i and z2 = 8 + i?

3√2
13.3
2√3
18

Answers

Answer:

d=2√10

Step-by-step explanation:

The distance between the two points will be given by:

d=√[(x-x1)^2+(y-y1)^2]

point z1=(3-2i) has the coordinates of (3,-2)

point z2=(5-8i) has the coordinates of (5,-8)

thus the distance between them will be:

d=√[(-8-(-2)²+(5-3)²)]

d=√[(-6)²+2²]

d=√(36+4)

d=√40

d=2√10

Answer:

3√2

Step-by-step explanation:

distance formula: d = √(a₁ - a₂)² + (b₁ - b₂)²

a = x, b = y

d = √(x₁ - x₂)² + (y₁ - y₂)²

The sum of two square numbers is 15 square. What are the square numbers?

Answers

9^2 + 12^2 = 15^2

so 9,12!

Find the value of y

Will give brainliest
And brainless lol

Answers

Answer:

155

Step-by-step explanation:

- because of the angle rules, (6x+1) = (2x+17)

- with this, you can now solve to get x = 4

- also because of the angle rules, y = 180 - (2x+17)

- replace the x with 4 and calculate and you'll get y = 155

Please help!!
Mach each pair of angle with the correct angle relationship using the diagram

Answers

Answer:

1) Same side exterior angles

2) Corresponding Angles

3) Alternate Interior Angles

4) Same Side Interior Angles

5) Linear Pair

6) Vertical Angles

7) Alternate Exterior Angles

hope this helped! and thanks for uploading the image

Are these ratios equivalent? 38:19 and 2:1 *​

Answers

Answer:

Yes

Step-by-step explanation:

2 times 19=38

1 times 19=19

Answer:

yep it is equivalent by decreased orchard Harvick hdiwbxgcysnabudnd

And again....thank you!

Answers

Answer:

The second one to the left

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

the second graph id the correct one

Step-by-step explanation:

because he asked about the type of the of the food and the number of lunches sold

i hope i helped :)

Mr. Washington purchased three cell phones. Each cell phone cost one hundred fifty dollars. What is the total she paid for the cell phones?

Answers

Answer:

The answer is $450

Step-by-step explanation:

You need to do 150+150+150=450

                          or

150x3=450

Can someone please help, ty!!
(Will mark brainliest)

Answers

I believe its Yellow

PLS HELP ITS 6TH GRADE!
Evaluate the expression for m=4;-48/m

Answers

Answer:

-12

Step-by-step explanation:

Given, m = 4

solution:

=-48/m

=-48/4

=-12

solve the linear system below using substitution


y=2x+2

4x+y=-10

fill the blanks with the solution​

Answers

Answer:

( -2, -2)

Step-by-step explanation:

plug in 2x+2 for y

4x + 2x + 2 = -10

6x +2 = -10

6x = -12

x=-2

y= 2(-2)+2

y = -4+2

y= -2

what are all the angles?​

Answers

1) 137 degrees

2) 43 degrees

3) 137 degrees

4) 43 degrees

5) 43 degrees

6) 137 degrees

7) 43 degrees

8) 137 degrees

180-137= 43

Can someone help with this? You dont really have to solve it (I mean you can if you want to....) But if not, can someone explain how to solve it? Thanks!

Answers

Answer:

43

Step-by-step explanation:

Help please I’m almost done also I’ll mark brainliest

Answers

Answer:

this is a ratio of 4 inches:5 feet.

if one side becomes 30 feet, means that other one is also multiplied by 6.

4 * 6 = 24 or A

pls mark as brainliest

Step-by-step explanation:

A cylindrical mass has a radius of 5 cm and a height of 6 cm. If the mass of the cylinder is 900 grams, what is the density of the cylinder?

Answers

Approximately 1.9 grams per cubic centimeter.

First you calculate the size of the cylinder in centimeters by taking the area of the base and multiplying it by the height, and then you divide the mass of the cylinder by the volume.

Find the slope between the points (4, -2) and (6, -6)!
please help

Answers

(Y2-y1)/(x2-x1)
(-6+2)/(6-4) = -4/2 = -2
The slope is -2
-6- - 2 = -4
6-4=2
-4/2=-2
slope is -2

Are 6 + 10 and 2(3) + 2(5) equivalent expressions? How do you know?

Answers

Yes they are because if you do 6+10= 16 and 2(3) multiplied is 6 and 2(5) multiplied is 10 basically
6+10=16 &
2x3+2x5=16

can you please help me with this question ​

Answers

Answer:

1. A $28.18

2. D -$4.16

Good luck!

(-2) 3 = please hurry

Answers

Answer:

-6

Step-by-step explanation:

It's basically -2 x 3 because the () mean times.

Answer:

-6

Step-by-step explanation:

-2 x 3 = -6

A car travels at a constant speed.

What is the car's speed between checkpoints, expressed as a unit rate?
Use the information given in the picture.

Answers

Answer:

Step-by-step explanation:

Checkpoint A-> time being 1:00pm total miles driven being 120 and

checkpoint B-> time being 3:00pm and the total miles being 208

The distance between two checkpoint A  and B is 208 - 120 = 88 miles

Now the time between the two checkpoints = 3.00 - 1.00 = 2 hours

We need to find car speed between the checkpoints

We know Distance = speed * time

Speed = 44 miles per hour

Answer:

The answer is 1 miles

Step-by-step explanation:

1+1=2

I need helpppp! Btw who ready for thanksgiving break!!!

Answers

Answer:

4

Step-by-step explanation:

two fifth of a certain number plus two is equal to ten​

Answers

Answer:

that no. is 20

Step-by-step explanation:

let us take that certain no. as x

so

2/5. x +2=10

2x/5 = 10-2

2x = 8×5

x= 40/2

x= 20

Blank divided by 7 = 4 Remainder 5

Answers

Answer:

21

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

7 x 4 = 28

33 - 5 = 28

Troy has to order 8 pounds of ham, 15 pounds of cheese, and 12 pounds of turkey. What is the toatal cost of troys order?

Answers

Answer:

93.75

Step-by-step explanation:

Answer:

The answer is $93.75

Step-by-step explanation:

Skip and Jena are selling raffle tickets to raise money for new basketball uniforms. Skip sold 2 tickets for every 7 tickets that Jena sold. If Jena sold 63 tickets how many did Skip sell? Use a double number line and equivalent ratios to justify your answer.


PLEASE HELP ANSWER THIS QUESTION RIGHT I WILL GIVE YOU 1000 PIONTS!!!

Answers

18 bro im big brain remember bro i believe in you

The measure of an angle is 1°. What is the measure of its complementary angle?

Answers

Answer:

89 degrees

Step-by-step explanation:

Here is a number in expanded form. (6 x 100) + (1 x 10) + (7 x 1) + (9 x 1/10) + (2 x 1/1000) Write it in standard form. (Using Decimals) ​

Answers

Answer:

617.902

Step-by-step explanation:

(6 * 100) + (1 * 10) + (7 * 1) + (9 *1/10) + (2 *1/1000)=308951/500

308951/500=617.902

The standard form of given number is 6.17 ×10².

What is standard form?

Standard form is a way of writing down in easy form of very large or very small numbers.

Let E is the standard form of given number

E = (6 × 100) + (1 × 10) + (7 × 1) + (9 ×1/10) + (2 ×1/1000)

E =600+10+7+0.9+0.002

E =617.902

E =0.617 × 10³ = 6.17 ×10²

E = 6.17 ×10²

Hence, the standard form of given number is 6.17 ×10²

Learn more about Standard form

https://brainly.com/question/13139379

#SPJ2

Why is Thomas Nast famous?


He took photographs of immigrants to bring attention to their plight.


He wrote articles calling for an end to segregation in the South.


He helped bring down Boss Tweed and Tammany Hall with his political cartoons.


He campaigned tirelessly for women's right to vote.

Answers

Answer:

C. He helped bring down boss tweed and tammany hall with his political cartoons.

I believe that is the correct answer.

Answer: C.

Step-by-step explanation: Took the test.

what is 4901 and 75 estimated to

Answers

Answer:

5000 and 100

Step-by-step explanation:

PLEASE I NEED HELP I WILL MARK BRAINLYEST!!!!!!!!!!!!!!!!
PLEASE ANSWER NOWW!!!!!!!!!!!!!!




The amount f(x), in dollars, in account A after x years is represented by the function below:

f(x) = 10,125(1.83)

Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year?

Answers

Answer:

The amount is increasing and is increasing by 3.34% each year?

Step-by-step explanation:

Anything times a number higher than 1 will increase. 10125×1.83=18528.75.

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