a rectangular deck has a area of 320 ft squared. the length of the desk is 4 feet longer than the width. find the dimensions of the desk. Solve by completing the square.

Answers

Answer 1
Because l•w= area, area= 320, l=w+4
width • (width +4)= 320

Distribute the multiplication over addition and move all to the left side.
w^2 +4w-320=0
(w-16)•(w+20)=0 yet, The product of two things is 0 if one is 0 or both are 0 so
w-16=0 so w=16 and
w+20=0 so w= -20

Now the width or length could not be negative so we discard the solution w=-20.

Answer
width= 16 inches
length =16+4=20

Verify
w•l=320
16•20=320✔️






Related Questions

Which calculation will give the total surface area of the solid figure? These are the answers that you can choose from.
  5 × 6 × 6 square inches 
6 × 5 × 5 square inches
 
6 × 5 × 5 × 5 square inches
 
5 × 6 × 6 × 6 square inches

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6x5x5 square inches because there are 6 squares and the formula is 5x5

How to find the area of a circle if given the circumstance

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A=1/((4)(3.14))*C^2
Use the formula above... C=Cir

Help me on this question

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Infinite, because if you simplify the answer, you get 4x+3=4x+3
And that means anything can be a solution

Assessment items Item 10 Find the missing values in the ratio table. Then write the equivalent ratios. Towels 14 7 Blankets 8 16 Equivalent ratios are 14: , 7: , and :

Answers

The ratios are 14:16, 7:8, and one more equivalent one is 3.5:4. 
They all equal the fraction 7/8. Hope this helps!

harry can water 2 1/4 acres of cornfields in 1 day. How many acres of cornfields can he water in 3 2/3 days

Answers

First, you would divide 2 1/4 by 1. After you have gotten the total, multiply that times 3 2/3.
8 1/4 acres of cornfields. 

Bc, 2 1/4 times 3 2/3 equals 8 1/4

the number of club members is at least 25

Answers

i think your answer is

x(number of club members) is equal(=) or larger(>) to 25

im not sure its right though

If s = 1 over 2 unit and A = 12s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)

Answers

 For this case we have the following expression:
 [tex]A = 12s ^ 2 [/tex]
 Where, the value of s is given by:
 [tex]s = 1/2 [/tex]
 So, replacing values we have:
 [tex]A = 12 (1/2) ^ 2 [/tex]
 Rewriting we have:
 [tex]A = 12 (1/4) A = 12/4 A = 3 units ^ 2[/tex]
 Answer:
 the value of A, in square units is:
 3 square units

Answer:

The value of A is 3 square units.

Step-by-step explanation:

Given: [tex]s=\frac{1}[2}[/tex] unit  and A is given by [tex]A=12s^2[/tex]

We have to find the value of A.

Consider the given formula [tex]A=12s^2[/tex]

Put [tex]s=\frac{1}[2}[/tex]

We get,

[tex]A=12(\frac{1}{2})^2[/tex]

Simplify, we have,

[tex]A=12\cdot\frac{1}{4}[/tex]

Further simplify, we have,

[tex]A=3[/tex]

Thus, The value of A is 3 square units.

Use pictures or words to explain what shapes can be put together to make a hexagon shape.

Answers

Triangles are the easiest shape to make a hexagon out of. You can do this by lining up 6 triangles where each base of the triangle lines up.

The perimeter of a triangle is 51 cm.The length of its sides are conservative odd integers. Find the length of all three sides.

Answers

The middle of 3 consecutive odd integers that add to 51 will be 51/3 = 17.

The side lengths are 15 cm, 17 cm, 19 cm.

What is the area of 14km and 12km and 8km and 5km and 4km and 9km

Answers

To find area, you multiply the length and width together.

14km and 12km 
area = 14 x 12 = 168 square km

8km and 5km
area = 8 x 5 = 40 square km

4km and 9km
area = 4 x 9 = 36 square km

Final answer:

Calculate the sum of areas of squares with given side lengths to find the total area.

Explanation:

Area of a Square:

Calculate the area of each square:

14 km x 14 km = (14)² = 196 km²

12 km x 12 km = (12)² = 144 km²

8 km x 8 km = (8)² = 64 km²

5 km x 5 km =  (5)² = 25 km²

4 km x 4 km = (4)² = 16 km²

9 km x 9 km =  (9)² = 81 km²

Sum of Areas:

Add the areas of all squares together:

196 km² + 144 km² + 64 km² + 25 km² + 16 km² + 81 km² = 526 km²

Therefore, the total area is 526 km².

m/18=24/15
how do I do this problem?

Answers

m/18 = 24/15
15m = 18 * 24
15m = 432
m = 28.8

Find the value of X.
A. 4 square root of 3
B. 8 square root of 3
C. 8
D. 16

I feel like it may be C but my gut says ask for some help.

Answers

Answer: 
Choice B) 8*sqrt(3)

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

Explanation:

First we need to find y
It turns out we can set up the proportion 
4/y = y/12
since the two inner smaller triangles are similar triangles

Solve for y by cross multiplying
4/y = y/12
4*12 = y*y
48 = y^2
y^2 = 48
y = sqrt(48)

Now use this y value to find x
Use the pythagorean theorem. Focus on the smaller triangle on the right side
a^2 + b^2 = c^2
y^2 + 12^2 = x^2
(sqrt(48))^2 + 12^2 = x^2
48 + 144 = x^2
192 = x^2
x^2 = 192
x = sqrt(192)
x = sqrt(64*3)
x = sqrt(64)*sqrt(3)
x = 8*sqrt(3)

So that's why the answer is choice B

Determine if the side lengths 2.1in,4in,7.9in form a triangle

Answers

Nope.

They don't meet the requirements of the triangle inequality.
2.1 + 4 = 6.1 < 7.9
The triangle inequality requires the sum of any two sides be greater than the third side.

write the expression 7b - 3(b - 1) in simplest form

Answers

7b - 3(b-1)
7b - 3b - 3(-1) ... distributive property
7b - 3b + 3
(7b - 3b) + 3
(7 - 3)b + 3
4b + 3

----------------

Answer: 4b + 3

Use exactly whats shown

Which expression represents the product of 3 and (5/4 n + 1.8)

Answers

the value of your question is 6

The correct expression is:

[tex]\[ \text{C) } 3.75n + 5.4 \][/tex]

To find the product of 3 and [tex]\( \left(\frac{5}{4}n + 1.8\right) \)[/tex] , we multiply 3 by each term inside the parentheses:

[tex]\[ 3 \times \frac{5}{4}n = \frac{15}{4}n \][/tex]

[tex]\[ 3 \times 1.8 = 5.4 \][/tex]

Now, combine the two results:

[tex]\[ \frac{15}{4}n + 5.4 \][/tex]

To express this in a more common form, we can rewrite [tex]\( \frac{15}{4} \)[/tex] as 3.75:

[tex]\[ 3.75n + 5.4 \][/tex]

So, the correct expression is:

[tex]\[ \text{C) } 3.75n + 5.4 \][/tex]

Complete correct question:

Which expression represents the product of 3 and (5/4n + 1.8)?

A) 5.55n

B) 9.15n

C) 3.75n + 1.8

D) 3.75n + 5.4.

If f(x)=3x^2-4 and g(x)=x+2, find (f-g)(x)

Answers

3x^2 - 4 - ( x + 2)= 3x^2 - 4 - x - 2

3x^2 - x - 6 is the answer which is c

Which of the following is the inverse of the statement "if I like carrots, then I like vegetables

Answers

If I don't like carrots, then I don't like vegetables 

Answer:

f I don't like carrots, then I don't like vegetables  

Step-by-step explanation:

Help please ASAP giving out brainliest

Answers

For the left you’re rising 6 & running -2. For the right your rising -6 & running 2.

What is an equation that represents 4 1/4 as a sum of whole numbers and unit fractions

Answers

Final answer:

The equation that represents 4 1/4 as a sum of whole numbers and unit fractions is simply 4 + 1/4. This approach demonstrates the decomposition of a mixed number into its integral and fractional components.

Explanation:

To represent 4 1/4 as a sum of whole numbers and unit fractions, we can break it down into its components. This fraction essentially means 4 plus 1/4. The whole number part is straightforward, and the fraction part can be represented as a unit fraction. Thus, 4 1/4 can be expressed as the sum 4 + 1/4.

In mathematics, when decomposing mixed numbers into a sum of whole numbers and fractions, it’s essential to clearly distinguish between the integral and fractional parts. For example, similar numbers like 5 1/3 would decompose into 5 + 1/3. This helps illustrate how mixed numbers can be broken into more straightforward components, making them easier to work with in various mathematical operations and providing a bridge to understanding fractional expressions and addition.

Answer:

  4 1/4 = 1 + 3 + 1/6 + 1/12

Step-by-step explanation:

You want an equation that represents 4 1/4 as the sum of whole numbers and unit fractions.

Whole numbers

The whole number portion of 4 1/4 is 4. The number 4 can be represented as a sum of whole numbers (plural) several ways:

  4 = 0 + 4
  4 = 1 + 3
  4 = 2 + 2

  4 = 0 + 1 + 3
  4 = 1 + 1 + 2

  4 = 1 + 1 + 1 + 1

Of course, any quantity of the whole number 0 can be added to any of these sums. We have shown a couple of instances of that.

In our answer here, we choose the representation to be 4 = 1 +3.

Unit fractions

A unit fraction is a fraction with a numerator of 1. In the mixed number 4 1/4, the fraction portion, 1/4, is already a unit fraction. The problem statement here asks for a representation involving "unit fractions" (plural). We can divide 1/4 into any number of equal unit fractions:

  1/4 = 1/8 + 1/8 . . . . 2 equal unit fractions

  1/4 = 1/12 + 1/12 + 1/12 . . . . 3 equal unit fractions

This latter representation suggests a way to use unequal unit fractions to represent 1/4:

  1/4 = (1/12 + 1/12) +1/12 = 2/12 +1/12 = 1/6 +1/12

Using these two unit fractions, our equation can be written ...

  4 1/4 = 1 + 3 + 1/6 + 1/12

what value is most affected by an outlier, the median or the ranhe? explain. can you see these effects in a dot plot

Answers

The range. An outlier is a set of data that changes the overall look of everything. Let's say you had the numbers 2, 3, 5, and 19.  19 is the outlier. To find the range, you subtract the largest number by the smallest, making the range of this set of numbers 17. If we didn't have 19, our range would be 3. The median would be 3, without the outlier, and with the outlier it would be 4. Hope this helps ;)

Prove that the triangles shown below are similar and provide a similarity statement

Answers

The triangles are similar because two angles have the same measurements

How do u solve 63=-9d?

Answers

-9d = 63
you divide both side by -9

sooo...

d = -7

A car travels 444 km in 7 hours (with a constant speed).How far can it travel in 5 hours (with the same speed)?

Answers

first divide to find the unit rate to find out how far they travel in one hour. then multiply the unit rate with the hours to get the miles traveled
Final answer:

The car can travel 317.15 km in 5 hours given its speed remains constant at 63.43 km/h which is calculated based on the 444 km it travels in 7 hours.

Explanation:

To solve this problem, we need to calculate the rate of speed of the car first. The speed of the car is found by dividing the total distance by the time.
So, the speed will be 444 km / 7 hours = 63.43 km/h.

With this constant speed, we can determine how far the car could travel in 5 hours by multiplying the speed by the time:
Thus, the distance it can travel in 5 hours is 63.43 km/h * 5 h = 317.15 km.

Learn more about Distance calculation here:

https://brainly.com/question/34212393

#SPJ2

The stem-and-leaf plot represents the distances, in miles, people in an office drive to work each morning.

How many people drive 20 miles or fewer to work?



Enter your answer in the box.


Answers

The answer should be 7. 7 People drive 20 miles of fewer to work. 
You can tell, by looking at the number of numbers across from the "1" in the "Stem" section.
Hope this helps!:)
~Scarlett

Answer: it is 7.7

Step-by-step explanation:

trust me the person abuv me is right i did the quiz and got 100% i swear!

give them a round of applause! wooo i would give branliest but it dost let me.

What is 56% written as a ratio?

Answers

56 written as a ratio is 56/100

That’s the proper fraction


If it asked for improper, it can be 56/10 or 56/1 etc
Hey there! :D

You can write it as:

56:100, since 56% is out of 100. 

Simplify it by 2. 

28:50 

14:25 <=== simplest ratio 

I hope this helps!
~kaikers

Evan and Sam were playing basketball. Evan made 2/3 of his shots. Sam made 2/4 of his shots. Who made more shots? Explain

Answers

Hello,

The answer is "Evan 2/3".

Reason:

2   2
_> 
3   4 

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Val’s go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 1 gallon of gas, to fill the go cart tank. 1 gallon = 231 inched cubed

Answers


[tex]v = bh[/tex]

[tex]v = (15.4 \times 10) \times 3[/tex]

[tex]v = {462} \: inches \: ^{3} [/tex]

~~

[tex]462 \div 231 = 2[/tex]

~~

It will take 2 full gas cans to fill it up!!

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

what is 3x-2y=-3 on a graph

Answers

Answer:

MY ANSWER IS ON THE PHOTO OR DOWNLOAD LINK

PLEASE MARK ME  AS BRAINLIEST

Step-by-step explanation:

how long will it take for the pool to completely full with water? (explain why so i understand)

Answers

First, you find out how much can be filled in 1 minute. Then you divide that into 120 to get your answer. 
To find out how much can be filled in 1 minute, take the time and divide it into the volume. We'll use the second row (2 minutes and 8 gallons.)
8/2=4. So it takes 1 minute to fill 4 gallons. Now, you just divide 4 into 120. 
120/4=30
It takes 30 minutes to fill the pool up to 120 gallons. 
120 it the awnser ok

write the next number in this pattern. 10, 11, 20, 21, 30, 31

Answers

The answer to that number pattern is 40,41,50,51
 The answer is 40,41 I mean it's not that hard to find the pattern.
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