The area of a storage shed floor is 20 ft2. The length is 3 more than twice the width. Find the dimensions of the storage shed floor

Answers

Answer 1

Answer:

2.5 ft wide8 ft long

Step-by-step explanation:

The given relation between length and width can be used to write an expression for area. The equation setting that equal to the given area can be solved to find the shed dimensions.

__

Given relation

Let x represent the width of the shed. Then the length is (2x+3), and the area is ...

  A = LW

  20 = (2x+3)(x) . . . . . area of the shed

__

Solution

Completing the square gives ...

  2x² +3x +1.125 = 21.125 . . . . . . add 2(9/16) to both sides

  2(x +0.75)² = 21.125 . . . . . . . write as a square

  x +0.75 = √10.5625 . . . . . divide by 2, take the square root

  x = -0.75 +3.25 = 2.50 . . . . . subtract 0.75, keep the positive solution

The width of the shed is 2.5 feet; the length is 2(2.5)+3 = 8 feet.


Related Questions

Point A has coordinates (4, -1)
Point B has coordinates (9, 7)
Work out the coordinates of the midpoint of the line AB.

Answers

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\qquad B(\stackrel{x_2}{9}~,~\stackrel{y_2}{7}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 9 + 4}{2}~~~ ,~~~ \cfrac{ 7 -1}{2} \right)\implies \left(\cfrac{13}{2}~~,~~\cfrac{6}{2} \right)\implies \left( 6\frac{1}{2}~~,~~3 \right)[/tex]

if a thing is not a flower, then it is not a plant.
shorthand

Answers

Answer:

False, plants can be anything, take grass and trees and cacti, plant just need photosynthesis.

Step-by-step explanation:

You see, plants aren't based on if they are a flower or not

A quantity p varies jointly with r and s. which expression represents the constant of variation, k? prs startfraction p over r s endfraction startfraction r s over p endfraction p r s

Answers

Answer:

  k = p/(rs)

Step-by-step explanation:

The equation that represents p varying jointly with r and s will be ...

  p = k·r·s . . . . . . . . for some constant of variation k

__

Solving this equation for k gives ...

  k = p/(rs) . . . . . divide by the coefficient of k

Find the sale price Original price: $50 Discount: 15% Sale price: $​

Answers

I hope that i helped ;D

What is the answer to 3²x9

Answers

Answer:

81

Step-by-step explanation:

[tex]3^{2} =9[/tex]

[tex]9(9)=81[/tex]

About 1.37x10^7 people in South America speak English.
English is the primary language for about 3.7 x 10^6 of the
people. About how many times as much people speak
English as their primary language?

Answers

Answer:

1 x 106

Step-by-step explanation:

you invest 5,000 in a bank for 2 years at a 3% interest rate.

Answers

Answer:

If simple interest: $5,300

If compounding interest: $5,304.50

Step-by-step explanation:

**As you haven't specified if the interest is simple or compounding, I have provided both**

Simple interest

[tex]\sf Formula:A = P(1 + rt)[/tex]

where:

A = final amountP = principalr = interest rate (in decimal form)t = time (in years)

Given:

P = 5000r = 3% = 0.03t = 2

Substituting the given values into the formula and solving for A:

[tex]\implies \sf A = 5000(1 + 0.03 \cdot 2)[/tex]

[tex]\implies \sf A = 5000(1.06)[/tex]

[tex]\implies \sf A = 5300[/tex]

Compound interest

[tex]\sf Formula:A=P(1+\frac{r}{n})^{nt}[/tex]

where:

A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Given:

P = 5000r = 3% = 0.03n = 1t = 2

Substituting the given values into the formula and solving for A:

[tex]\implies \sf A=5000(1+\frac{0.03}{1})^2[/tex]

[tex]\implies \sf A=5000(1.03)^2[/tex]

[tex]\implies \sf A=5304.5[/tex]

Answer:

Step-by-step explanation:
Let's say interest is I
Investment (deposit)is D=5000
Time T=2yrs
and rate R =3% thus
I=D×R/100×T
5000×3/100×2
I=300

6 sprinklers are shown on gridlines. each sprinkler has a diameter of 6 feet. the irrigation design for a new backyard is shown with six sprinkler heads and two walkways. which statement is true of this design? the area covered by each sprinkler head is approximately 113.10 ft2. the area covered by all the sprinkler heads together is approximately 169.64 ft2. every square foot of the yard will be watered with this design. the sprinklers would cover more area if they were in a straight line.

Answers

The area covered by all the sprinkler heads together is approximately 169.64 ft2.

We have given

6 sprinklers are shown on gridlines.

Each sprinkler has a diameter of 6 feet.

The irrigation design for a new backyard is shown with six sprinkler heads and two walkways.

One sprinkler has a diameter of 6 feet.

So the radius is 3.

The area for one sprinkler is given by,

What is the formula for the area of the circle?

[tex]A=\pi r^{2}[/tex]

[tex]A=3.14\times 3^2\\A=28.26[/tex]

So the area covered by one sprinkler is 28.26 feet ^2.

For six sprinkler is given by

[tex]=6\times 28.26[/tex]

=169.64 ft^2

The answer is B.

The area covered by all the sprinkler heads together is approximately 169.64 ft2.

To learn more about the area visit:

https://brainly.com/question/3948796

Answer:

b

Step-by-step explanation:

Somebody pls help! Im really confused and this is due soon!!!

Answers

I think it’s 28 sorry if it’s wrong

Last year, 351 children signed up to play football in Johnston County. Each single team had 27 players on its roster.

How many football teams were there in Johnston County?
13 teams

14 teams

15 teams

16 teams

Answers

Answer:

13 teams

Step-by-step explanation:

You have 351 children, and each team has 27 players.
Putting this into an equation you get:

351 ÷ 27 = x
x = 13

point b has coordinates (3,1). the x-coordinate of point a is -6. the distance between point a and point b is 15 units. what are the possible coordinates of point a?

Answers

Answer:

(-6,-11).

Step-by-step explanation:

Hope this helps! Have a great day.

What is the median of set A

Answers

Answer:

30

Step-by-step explanation:

10,10,20,20,20,20,30,30,30,30,40,50,50,60

The two numbers in the middle are 30 and 30.

30 + 30=60

60/2=30

Hope it Helps

1.24$
6.43$
2.13$
with these numbers i need to round to the nearest dollar (SHOW WORK PLS) estimate total cost.

Answers

Answer:

$10

Step-by-step explanation:

1.24+6.43+2.13= 9.8

9.8 rounded to the nearest dollar is $10.

You can do it a different way, rounding the numbers before adding.

this would be:

1.3+6.4+2.1= 9.8

Either way, you get the same number. 9.8

And 9.8 rounded to the nearest dollar is $10

All the best, -Crispin

Answer:

$1.00

$6.00

$2.00

The estimated cost is $9.00

Step-by-step explanation:

1.24 = The 2 in 1.24 is smaller than 5 so you round down

6.43 = The 4 in 6.43 is smaller than 5 so you round down

2.13 = The 1 in 2.13 is smaller than 5 so you round down

13. Namir purchased fuel for his farm truck that cost $79.17. He gave the clerk a $100 bill. How much change should Namir receive?

Answers

Answer:

$20.83

Step-by-step explanation:

cost of fuel purchased =$79.17

amount given to the clerk= $100

amount of change she should receive= 100-79.17

= $20.83

how many milliseconds are in a year

Answers

Answer:

3.154e+10

Step-by-step explanation:

The milliseconds unit number 31,536,000,000.00 ms converts to 1 yr, one calendar year.

Or for how many milliseconds is 365 days in a year?

The answer is one Year is equal to 31557600000 Milliseconds.

Answer:

3.154e+10, 30 billion milliseconds are in one calendar year.

Please I need help and I'm struggling on this question ​

Answers

Answer:

D

Step-by-step explanation:

The combined expenses for year 3 and 4 are 600,000 + 700,000 which equal 1,300,000. The combined income for year 3 and 4 are 400,000 + 600,000 which equal 1,000,000. 1,300,000 (the combined expenses for year 3 and 4) is also 300,000 greater than 1,000,000 (the combined income for years 3 and 4)

Write a word problem that must be solved with division and includes 2/7 as the dividend and 4 as the divisor.

Answers

The word problem is

A Cake has 2/7 part left.iF it's shared between 4persons how much each get ?

Let's solve it

Let each get x

x=2/7÷4x=2/7×1/4x=1/14

Answer:

See below ~

Step-by-step explanation:

Mitch is given 2/7 of a cake as a prize for winning a contest. He would like to share it among him and his 3 friends. How much of a whole cake do each of them get?

Solving

Cake in hand = 2/7Number of people = 4Cake per person = Cake in hand / no. of peopleCake per person = (2/7) / 4Cake per person = 2/28 = 1/14 of the cake

Which of the following does NOT describe x-4?

x decreased by 4
4 less than x
xless than 4
the difference of x and 4

Answers

Answer:

x less thsn 4

Step-by-step explanation:

hope it helps

Answer: C. x less than 4

Step-by-step explanation:  X is not the variable being subtracted, and 4 is the variable being subtracted, therefore the answer is C. x less than 4 because this does not describe x - 4

write an equation for each hyperbola.
vertices (0,2),(0,-2)
foci (0, +/- square root of 5)

Answers

Check the picture below, so the hyperbola looks more or less like so, hmmm so is a vertical one, so is opening towards the y-axis, meaning the fraction that is positive is the one with the y-variable, its traverse axis length is 4 units, from +2 to -2, meaning that a = 2, and the distance either focus to the center is √5, so

[tex]\textit{hyperbolas, vertical traverse axis } \\\\ \cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h, k\pm a)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ a=2\\ c=\sqrt{5} \end{cases}\qquad \cfrac{(y- 0)^2}{ 2^2}-\cfrac{(x- 0)^2}{ b^2}=1[/tex]

[tex]\sqrt{5}=\sqrt{2^2+b^2}\implies 5=4+b^2\implies 1=b^2\implies \sqrt{1}=b\implies 1=b \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(y- 0)^2}{ 2^2}-\cfrac{(x- 0)^2}{ 1^2}=1\implies \cfrac{y^2}{4}~~ - ~~x^2~~ = ~~1[/tex]

A lender estimates the closing costs on a home loan of $90,000 as listed below. closing cost charge loan origination $180 title insurance $365 attorney’s fees $795 inspection $300 recording fees $120 escrow $980 the actual closing costs were: closing cost charge loan origination $180 title insurance $340 attorney’s fees $830 inspection $375 recording fees $150 escrow $1,000 evaluate the lender's good faith estimate as a percentage of the loan amount. a. the lender made a very good estimate; it was within 0.25% of the actual closing costs. b. the lender made a fairly good estimate; it was between 0.25% and 0.5% from the actual closing costs. c. the lender made a somewhat poor estimate; it was between 0.25% and 0.5% from the actual closing costs. d. the lender made a very poor estimate; it was between 0.5% and 0.75% from the actual closing costs.

Answers

Based on the details above, the lender's good faith estimate is one that is within 0.25% of the actual closing costs.

What is good faith estimate?

A Good Faith Estimate commonly referred to as GFE, is known to be a kind of situation where a lender is given to a person  as one request or apply for a  form of reverse mortgage.

Note that the Lenders often needs a Good Faith Estimate (GFE) for about a period of three business days one getting the loan application. This will explain your loan terms and costs linked with the loan.

From the above, , the lender's good faith estimate is one that is within 0.25% of the actual closing costs and thus can tell the costs linked with the loan.

Learn more about good faith  from

https://brainly.com/question/24725464

Answer:

is D. the lender made a very poor estimate; it was between 0.5% and 0.75% from the actual closing cost

Step-by-step explanation:

I saw the answer on quizlet

ten less than 40% of a number is -4

Answers

Answer:

Number is "n" (.40* n)-10=-4

Step-by-step explanation:

i found this off of the Internet hope this helps

Find the perimeter. Do not use decimals, units of measurement (ex. ft, mi,
yd, etc.) or commas in your answer.

Answers

76 yd

This is very simple

Perimeter is the sum of all the outer sides

22yd + 22yd + 16yd +16yd

This will give you

76yd

Answer: 76

Step-by-step explanation: Perimeter is 2(length +breadth)

2(22+16)

A cylinder has a volume of 612. If the radious is multiplied by 3, what would the new volume be?​
ANSWER IS NEEDED NOW!!

Answers

Answer:

the new volume is

v = 5508

Mya and Ashley are buying tickets to the art show. Adult
tickets cost $3 more than the student tickets. Mya buys 7
tickets and 6 adult tickets. Ashley buys 15 student tickets and
1 adult ticket. They both spend the same amount of money
on their tickets. What is the price of one adult ticket?

Answers

Answer:

$8

Step-by-step explanation:

a: adult tickets

s: student tickets

Mya: 7s + 6(3+s)

Ashley: 15s + 1(3+s)

Mya: 7s + 6(3+s) –> 7s + 18 +6s –> 13s +18

Ashley: 15s + 1(3+s) –> 15s + 3 + s –> 16s +3

13s + 18 = 16s +3

15 = 3s, divide 3 from both sides so s = 5

so students tickets cost $5

since adult tickets cost $3 more than student tickets:

($3 + $5) = $8 for an adult ticket.

Answer:

the answer is $8

Step-by-step explanation:

Pls give ana brainiliest she deserves it.:)

What is the measure of angle x?



Enter your answer in the box.

m∠x=
°

Answers

Answer:

x = 61°

Step-by-step explanation:

x = 180 - (37 + 82)

Angles in a triangle add up to 180°.

x = 180 - 119

x = 61°

If someone answers this question, the next one i'll ask with be 100 points

Answers

[tex]\text{The two angles are supplementary, so their sum is}~ 180^{\circ} \\\\m\angle A + m\angle B =180\\\\\implies 2x-14+3x-6 = 180\\\\\implies 5x -20 = 180\\\\\implies 5x = 180+20\\\\\implies 5x = 200\\\\\implies x =\dfrac{200}5\\\\\implies x = 40\\\\\text{Hence, the measure of angle A is}~ m\angle A = (2\cdot 40 -14)^{\circ} = 66^{\circ}[/tex]

Let Tn, be the number of dots in figure.
How many dots are there in figure 30?

Look at the picture (don't mind of the highlighted ones).​

Answers

Answer:

4294967293 dots

Step-by-step explanation:

Figure 1 has 5 dots.

Figure 2 has 13 dots.

Figure 3 has 29 dots.

Subtract and find different of each term:

13-5 = 829-13 = 16

Let [tex]\displaystyle \large{b_n}[/tex] be sequence of difference (and the sequence appears to be geometric.)

So for [tex]\displaystyle \large{b_n}[/tex], find the common ratio which is 2.

Hence, [tex]\displaystyle \large{b_n = 8(2)^{n-1}}[/tex] - recall geometric sequence formula below:

[tex]\displaystyle \large{a_n = a_1r^{n-1}}[/tex]

The sequence of difference [tex]\displaystyle \large{b_n=8(2)^{n-1}}[/tex] can be simplified to:

[tex]\displaystyle \large{b_n=2^3(2)^{n-1}}\\\displaystyle \large{b_n=2^{n+2}}[/tex]

Now to find the original sequence:

[tex]\displaystyle \large{a_n = a_1 + \sum_{k=1}^{n-1}b_k}[/tex]

Hence:

[tex]\displaystyle \large{T_n=5+\sum_{k=1}^{n-1}8(2)^{k-1}}[/tex]

Recall:

[tex]\displaystyle \large{\sum_{k=1}^{n-1} a_1r^{n-1} =a_1\left( \dfrac{1-r^{n-1}}{1-r}\right)}[/tex]

Therefore:

[tex]\displaystyle \large{T_n=5+\sum_{k=1}^{n-1}8(2)^{k-1}}\\\displaystyle \large{T_n=5+8\left(\dfrac{1-2^{n-1}}{1-2}\right)}\\\displaystyle \large{T_n=5+8\left(\dfrac{1-2^{n-1}}{-1}\right)}\\\\\displaystyle \large{T_n=5+8(-1+2^{n-1})}\\\displaystyle \large{T_n=5-8+8(2)^{n-1}}\\\displaystyle \large{T_n=2^{n+2}-3}[/tex]

Therefore, the sequence for 5,13,29 is [tex]\displaystyle \large{2^{n+2}-3}[/tex].

Therefore, in figure 30:

[tex]\displaystyle \large{T_{30}=2^{30+2}-3}\\\displaystyle \large{T_{30}=2^{32}-3}\\\displaystyle \large{T_{30}=4294967293}[/tex]

Therefore, there are 4294967293 dots in figure 30

Luis forma una torre con seis dados normales colocados sobre una mesa, tal como se muestra en la figura. Considerando que él puede moverse alrededor de la mesa, ¿Cuántos puntos cómo mínimo son visibles para él?

Answers

El número de puntos visibles para el será de 84.

Sumas

Dado que Luis forma una torre con seis dados normales colocados sobre una mesa, para determinar cuántos puntos cómo mínimo son visibles para él se debe realizar el siguiente cálculo:

La suma de la cara del dado ubicada boca abajo, más su contraria, siempre dará 7. Por ende, en tanto 1 + 2 + 3 + 4 + 5 + 6 - 7 = 14, y 14 x 6 es igual a 84, el número de puntos visibles para el será de 84.

Aprende más sobre sumas en https://brainly.com/question/16620242

Answer:El número de puntos visibles para el será de 84.

Step-by-step explanation:

solve the inequality |x-1|+x<=5

Answers

Step-by-step explanation:

1st solution

When x-1 is positive

x-1+x≤5

2x-1≤5

2x≤6

x≤3

x-1≥0

x≥1

Solution: x€[1,3]

2nd solution

When x-1 is negative

-(x-1)+x≤5

-x-1+x≤5

-1≤5

0≤5

x-1<0

x<1

Solution: x€(-infinity, 1)

13 The diagram shows a square photo being placed right in the middle of a rectangular frame with an area of (x2 + 10x + 24) cm2. Given the length of the photo is x cm. 2 cm ? ? 2 cm The empty spaces on both sides of the photo have the same length. Find the length of each empty space.​

Answers

Answer:

Length of empty space=3cm

Step-by-step explanation:

YOU CAN FIND THE COMPLETE SOLUTION IN THE GIVEN ATTACHMENT

I HOPE IT HELPED YOU

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