Age was given instructions to create a rectangular garden that had an area of 45 ft^2. he was told that the length of the garden must be 1 ft less than twice the width. Find the length and width of the garden.

Answers

Answer 1

Answer:

width = 5 ft

length = 9 ft

Step-by-step explanation:

Here, we want to get the length and width of the garden

length is 1 ft less than twice the width

if width = w

length = 2w-1

The product of the two is 45

so, we have it that;

w(2w-1) = 45

2w^2 - w = 45

2w^2 - w -45 = 0

2w^2 - 10w + 9w -45 = 0

2w(w-5) + 9(w-5) = 0

(2w + 9)(w-5) = 0

2w + 9 = 0

or w -5 = 0

w = 5 or-9/2

w cannot be negative, so we = 5

l = 2(5) -1 = 10 - 1 = 9 ft


Related Questions

find the missing length of 26cm 10cm of the right triangle

Answers

Answer:

24cm

Step-by-step explanation:

A^2 + B^2 = C^2 soo 10^ + B^ = 26^2 so 100 + B^2 = 676 subtract 100 from 676. Then take the square root of 576 and you’ll get 24. So B = 24cm

Y = A system of equations. Y equals StartFraction 2 over 3 EndFraction x plus 3. X equals negative 2.X + 3 x = –2

Answers

Answer: The solution is the pair (-2, 5/3)

Step-by-step explanation:

The system of equations is:

y = (2/3)*x + 3

x = -2

When we have a system of equations, we usually start by isolating one of the variables in one of the equations and then replacing it in the other ones (in that way, we can "remove" variables, until we have only one and we can solve the problem)

In this case, we have already isolated the variable x in the second equation, then we can just replace it in the first one, to get:

y = (2/3)*(-2) + 3

y = -4/3 + 3 = -4/3 + 9/3 = (-4 + 9)/3 = 5/3

y = 5/3

Then the solution of this system is

x = -2

y = 5/3

Which also can be represented with the ordered pair (-2, 5/3)

factor completely: ​

Answers

Answer:

[tex]{3 + \frac{1}{5} x} \: \times 3 - \frac{1}{5x} [/tex]

Step-by-step explanation:

by factorization;

27 - 1/125 x^3(3)^3 - (1/5x)^3( 3 + 1/5x ) ( 3 - 1/5x )

[ a^2 - b^2 = (a +b) × (a-b)

Answer:

Step-by-step explanation:

2x4yz² find the degree

Answers

The degree is 2

Hope it helps

will give 60 points and brainliest

Answers

I am not sure what you mean, but x=4

In order to find the value of x, we can write the following statements and reasons:

Triangle PQR:

1. Statement: PS = PS

Reason: Reflexive property of equality

2. Statement: angle PSQ is congruent to angle PSR

Reason: Given

3. Statement: SQ is equal to SR

Reason: Given:

4. Statement: Triangle PSQ is congruent to triangle PSR

Reason: Case SAS of congruency

5. Statement: PQ is congruent to PR, so PR = 8

Reason: Corresponding sides of congruent triangles

Quadrilateral VSTU:

1. Statement: VT = VT

Reason: Reflexive property of equality

2. Statement: angle SVT is congruent to angle UVT

Reason: Given

3. Statement: angle VST is congruent to angle VUT

Reason: Given

4. Statement: Triangle VST is congruent to triangle VUT

Reason: Case AAS of congruency

5. Statement: ST = TU

Reason: Corresponding sides of congruent triangles

So we have 5z = 2z + 3. Solving for z, we have z = 1, so ST = 5z = 5

A library is having a book sale. Hardcover books sell at $5 and paperbacks are $3
each. If buys 12 books and spends exactly $54, how many of each type of book
did she buy?
Please helppppp

Answers

9•5=45 and 3•3=9 so 9+45=54 so 9 hardcovers are bought and 3 paper backs are bought.

The price of a watch was increased by 20% to £198
What was the price before the increase?

Answers

20/100*198 it is simple
198/1.2=165
Hope it helps

An item cost dollars. If the price of the item increases by 11%, tue new price can be represented by the expression +.11 write a new expression

Answers

An item cost P dollars. If the price increases by 11%. The new price can be represented by the expression P+0.11P.

Simplify the expression -(6 - 4p)

Answers

Hey there!

The answer to your question is [tex]-6+4p[/tex]

Given:

[tex]-(6-4p)[/tex]

First, we distribute the negative sign to both terms ([tex]6[/tex] [tex]and[/tex] [tex]-4p[/tex]) This would make the [tex]6[/tex] negative and the [tex]-4p[/tex] positive, so we have:

[tex]-6[/tex] [tex]and[/tex] [tex]4p[/tex]

Add them together and we get:

[tex]-6+4p[/tex]

Have a nice day!

please help is it A, B , or C

Answers

Answer:

its a because 5 x 4 = 20, 5 x 6 = 30 and 5 x 9 = 45

Step-by-step explanation:

THE ANSWER IS A

hope it helps ;)

Trophies for Gunther's soccer team will cost $6.25 each, plus 15 cents for every word on the engraving. Which equation could be used to find the cost, c, of each trophy based on the number of words, w , on the engraving?

Answers

Answer:

Step-by-step explanation:

c = $6.25 + 0.15w

$6.25 represents the fixed cost. it is the cost that does not vary with the number of words

15 cents is the variable cost. it is the cost that varies with the number of words.

to write the equation convert 15 cents to dollars by dividing by 100.

This a morning work and I don't get when they say "Area of a triangle" I'm still working on it, but Im just so confused. Can you help?

Answers

Answer:(b) 100^2in

Step-by-step explanation: Well 1st area means inside so they wanted you to find the inside,  and well the answer is 100 hope it helped :)

HELP PLSSS ASAP!!! HELP ASAP MATH! (BRAINLIST)

What is the measure, in degrees of an angle that represents 50/360 of a circle?

90º

50º

360º

310º

Answers

The measure, in degrees of an angle that represents 50/360 of a circle is 50 degrees.

What is a circle?

A circle is a locus of a point that moves in a plane such that its distance from a fixed point is always constant.

As we know that a circle has a total of 360 degrees all the way around the center.

So, the measure, in degrees of an angle that represents 50/360 of a circle will be =  50/360 * 360 degrees.

the measure, in degrees of an angle that represents 50/360 of a circle will be = 50 degrees.

Therefore, the measure, in degrees of an angle that represents 50/360 of a circle is 50 degrees.

To get more about circle visit:

https://brainly.com/question/24375372

The measure of the angle at the centre of the circle that represents 50/360 of a circle is 50°.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

A complete circle has a 360° angle at the center of it, since the angle we need to calculate is represented by 50/360, therefore, the measure of the angle can be written as,

[tex]\theta = \dfrac{50}{360}\times 360^o = 50^o[/tex]

thus, the measure of the angle at the centre of the circle that represents 50/360 of a circle is 50°.

Learn more about Circle:

https://brainly.com/question/11833983

Sally needs to buy 13 250 mm of edging for her garden. The edging costs $11 per metre. Calculate the total
amount Selly will need to pay for the garden edging.

Answers

13250 mm is 13.25 m
13.25 * $11 = 145.75

change 8.2m into mm!!’

Answers

Answer:

8200mm

Step-by-step explanation:

Answer:

8200

Step-by-step explanation:

All you have to do is take 8.2 meters and multiply it by 100 and get 8200.

Solve for x: 5x-4(х+3)=8

Answers

Answer:

x=20

Step-by-step explanation:

2 [(3x + 1) – (2 - x)

Answers

Answer:

How come their is only one bracket in the equation

Step-by-step explanation:

Answer:

5x + 2

Step-by-step explanation:

2 (3x + 1) - (2 - x)

simplify (use the distributive proprty)

6x + 2 - x

simplify some more

5x + 2

Thats it

Write an equation of the line that has a slope of -8 y-intercept of 2

Answers

Answer:

y=-8x+2

Step-by-step explanation:

What is the line of reflection?

Answers

Answer:

Y Axis

Step-by-step explanation:

The y axis is the best so it reflects off of both sides of the best axis in the world.

Maybe the Y - Axis? Lol.

Evaluate the expression when x = 2 and y = 6, show all your work.

[tex]2x^{3} +3y-4[/tex]

Answers

The answer would be ~30~ because 2*2^3 = 2^4= 16 then 3*6=18 then 16+18-4=30

Hope this helps

Have a great day/night

Feel free to ask any questions

In fraction form EMoDetective

Answers

Answer:

what do u mean?

Step-by-step explanation:

what is the slope formula?


NEED HELP PLZ

Answers

Answer:

y = mx + b

Step-by-step explanation:

Answer:

slope formula is y=mx+b

please help if youre good at math !!

Answers

I think c. Hope this helps
so i’m pretty sure it’s c

How many miles can you go on 28 gallons

Answers

Answer:

depends on how many miles you can go on 1 mile.

Answer:

you can go around 840-1680

Step-by-step explanation:

1 gallon = 30-60 miles

28x30=840 miles

28x60=1680 miles

Your welcome

Tim has completed five math problems and 13 minutes if he continues at the same rate how long will it take him to finish 20 problems

Answers

Answer:

52 minutes

Step-by-step explanation:

it takes him 13 minutes to complete 5 so if he wants  to do 20 problems  do 20 divided by 5 (4) then do 13 times 4=52

If you were to place $5000 in a savings account that pays 6% interest compounded continuously how much money will you have after 4 years?

Answers

Answer:

I think it would come out to be $6312.38

Answer:

The correct answer is $6,356.25.

Step-by-step explanation:

35+ points will give BRAINLIEST
Which function is equivalent to y=2(x+3)^2+5?

Answers

Answer:

2x²+12x+23

Step-by-step explanation:

Y=2(x²+6x+9)+5=2x²+12x+18+5

2x²+12x+23

Nora earns $17 for each hour of yard work. How many hours in all will it take Nora to earn
$34?

Answers

Answer = 2hrs
Explanation is 17(2) = 34

Sarah's heart beats 2,760 times during 20

minutes of rowing. While resting, Sarah records

her heart beating 11 times in 10 seconds.

What is the difference between Sarah's heart

rate when she is rowing versus resting?

Answers


Answer:

When Sarah is resting her heart rate is much lower.

Hope that helps :)

What is the ratio of hexagons to rectangles?
Write your answer as two numbers separated by a colon (for example, 2:3).
Submit

Answers

Answer:

4:6

Step-by-step explanation:

um there is no picture to count from so i will created a random one which was 4:6

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