A rectangular garden is 20 ft longer than it is wide. Its area is 800 ft 2 . What are its dimensions?

Answers

Answer 1
Our equation for the area of a rectangle is l x w = A (length times width equals area)
We know that l=w+20 so we can plug this into our equation.
It is now, (w+20) x w =800
We can then solve for w
w^2 +20w =800
We can subtract 800 on each side to get
w^2 +20w - 800 =0
We then factor to get
(w-20)(w+40)=0
This gives us w =20 and w = -40
Width cannot be negative so our width will be 20 feet
Since our length is 20 more than this, then our length will be 40feet
So the dimensions of the rectangle are 20 ft wide by 40 ft long

Related Questions

The charge for a bicycle repair was $9.28 for parts, 1/4 hour of labor at $18 per hour, and a $2 shop fee. What was the total cost (c) of the repair?​

Answers

Answer:

15.78

Step-by-step explanation:

4 goes into 18 (4 quarters in 1 hour), 4.5 then 4.50+ 9.28+2= $15.78

Express q/4p−q/p as a single fraction

Answers

Answer: -3q/4p

I hope this helps

The fraction q/4p−q/p as a single fraction is −3q/4p.

We are given that;

The fraction= q/4p−q/p

Now,

A fraction represents a part of a number or any number of equal parts.

To express q/4p−q/p as a single fraction, we need to find a common denominator for the two fractions and subtract them. The least common multiple of 4p and p is 4p, so we can multiply the second fraction by 4/4 to get an equivalent fraction with the same denominator:

q/4p−q/p = q/4p−(q/p)(4/4) = q/4p−4q/4p

Now we can subtract the fractions by subtracting the numerators and keeping the denominator:

q/4p−4q/4p = (q−4q)/4p = −3q/4p

Therefore, by the fraction answer will be −3q/4p.

Learn more about fraction;

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Help I cannot figure this question out.

Answers

Answer:

B. x = -1 ± i

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Standard Form: ax² + bx + c = 0FactoringQuadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

Algebra II

Imaginary Numbers: √-1 = i

Step-by-step explanation:

Step 1: Define

x² + 2x = -2

Step 2: Identify Variables

Rewrite Quadratic in Standard Form [Addition Property of Equality]:        x² + 2x + 2 = 0Break up Quadratic:                                                                                        a = 1, b = 2, c = 2

Step 3: Solve for x

Substitute in variables [Quadratic Formula]:                                                [tex]\displaystyle x=\frac{-2 \pm \sqrt{2^2-4(1)(2)}}{2(1)}[/tex][√Radical] Evaluate exponents:                                                                     [tex]\displaystyle x=\frac{-2 \pm \sqrt{4-4(1)(2)}}{2(1)}[/tex]Multiply:                                                                                                           [tex]\displaystyle x=\frac{-2 \pm \sqrt{4-8}}{2}[/tex][√Radical] Subtract:                                                                                        [tex]\displaystyle x=\frac{-2 \pm \sqrt{-4}}{2}[/tex][√Radical] Factor:                                                                                        [tex]\displaystyle x=\frac{-2 \pm \sqrt{-1}\sqrt{4}}{2}[/tex][√Radicals] Simplify:                                                                                       [tex]\displaystyle x=\frac{-2 \pm 2i}{2}[/tex]Factor:                                                                                                             [tex]\displaystyle x=\frac{2(-1 \pm i)}{2}[/tex]Divide:                                                                                                             [tex]\displaystyle x = -1 \pm i[/tex]

Please help it’s for homework

Answers

Answer:

y=10x+4

The slope is 10 and the y-intercept is 4.

Let me  know  if this helps!

y=10x+4 have a good day

Factor Completely:

16x8−81y8

Answers

Answer:

Step-by-step explanation:

16x⁸ - 81y⁸ is the difference of squares.

16x⁸ - 81y⁸ = (4x⁴)² - (9y⁴)² = (4x⁴ + 9y⁴)(4x⁴ - 9y⁴)

Note that 4x⁴ - 9y⁴ is also the difference of squares.

4x⁴ - 9y⁴ = (2x²) - (3y²)² = (2x² + 3y²)(2x² - 3y²)

16x⁸ - 81y⁸ = (4x⁴ + 9y⁴)(2x² + 3y²)(2x² - 3y²)


25% of 275 is 68.85​

Answers

Answer:

Step-by-step explanation:

no its not

its 68.75

HELPPP!!!!!! WILL BE MARKED BRAINLIEST AND GET 60 POINTSS!!!!!
FIND THE INTERVAL OF THE CONVERGENCE

Answers

Answer:

Interval of convergence is 0 </= x < 1

Step-by-step explanation:

interval of convergence is 0 = x < 1

sorry if it’s wrong i haven’t done this in a while.

find the ratio of 20 : 50

Answers

Answer:

20:50

20/50=40%

Solve for c.
a(c- b) =d

Answers

the answer to your question would be...
___________________________________
answer: c = d/a + b

(please give thanks if i am correct)

Answer:

c=[tex]\frac{d}{a}[/tex]+b

Step-by-step explanation:

a(c-b)=d

c-b=[tex]\frac{d}{a}[/tex]

c=[tex]\frac{d}{a}[/tex]+b

Hope this helps! :)

A large western state consists of 4390 million acres of land. Approximately 16% of this land is federally owned. Find the number of acres that are not federally owned.

Answers

1408.5 acres this is the answer

Answer:

1408.5 acres

Step-by-step explanation:

What is the y-intercept of the graph? 15 points

Answers

Answer:

5

Step-by-step explanation:

bro its literally on the graph lol just check where the line touches the y axis

Answer:

5

Step-by-step explanation:

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

20 minus 8 help
.... 6×7. 2 differt questions answer separately

Answers

20-8=12

6x7=42

i shall say this is correct

Answer:

43.2

Step-by-step explanation:

Use distributive property to remove the parenthesis for:
(1-y+x)(-6)

Answers

-6+6y-6x

there ya go can u please give me brainliest

Answer:

Step-by-step explanation:

Multiply -6 to the first bracket so it would be

-6+6y-6x This is the answer

HELP MEEE 5(−4) = 15-4x

Answers

Answer:

8.75

Step-by-step explanation:

What is the recursive formula for this sequence . 10,14,18,22,26,...

Answers

X+4 it is add 4 digit

The sum of two numbers is 80.6. One of
the numbers is 9 times the other. What
are the two numbers?

Answers

X+y= 80.6
9x=y
Then x+9x=10x=80.6
X=8.06
Y=72.54

What is the minimum value points of z=30x+40y subject of x+y<=140 x>=45 y>=32 20x+10y>=1500

Answers

9514 1404 393

Answer:

  minimum z: 3050

Step-by-step explanation:

The attached graph shows the feasible region as a white space. The dashed lines at its edges are part of the solution set. The vertex closest to the origin is the one that minimizes z: (x, y) = (59, 32).

The minimum value of z is ...

  30·59 +40·32 = 3050

HELP ME PLZ ASAPPPPPP

Answers

Answer:

[tex](x,y) =(-4,-3)[/tex] --- Vertex

[tex]x = -4[/tex] --- Axis of symmetry

Step-by-step explanation:

Given

[tex]y = -6(x + 4)^2 - 3[/tex]

Solving (a): The vertex

For an equation written in

[tex]y = a(x - h)^2 + k[/tex]

The vertex is:

[tex](x,y) = (h,k)[/tex]

By comparison:

[tex]y = a(x - h)^2 + k[/tex]  and [tex]y = -6(x + 4)^2 - 3[/tex]

[tex]-h =4[/tex]       [tex]k = -3[/tex]

[tex]h =-4[/tex]         [tex]k = -3[/tex]  

So, the vertex is:

[tex](x,y) =(-4,-3)[/tex]

Solving (b): The axis of symmetry

For an equation written in

[tex]y = a(x - h)^2 + k[/tex]

The axis of symmetry is:

x = h

In (a):

[tex]h =-4[/tex]

So:

[tex]x = -4[/tex]

please help me asap!!!!

Answers

Answer:

there's no picture info here...

Step-by-step explanation:

Find the volume of the figure below. Round to the nearest tenth it needed. Please help

Answers

Answer:

1,060.8 mm³

Step-by-step explanation:

Volume of the triangular prism = ½*bhl

Where,

b = 12 mm

h = √(12² - 6²) ≈ 10.4 mm (pythagorean theorem)

l = 17 mm

Plug in the values

Volume = ½*12*10.4*17

Volume = 1,060.8 mm³

Camden is using his cell phone to watch videos. He has 4/5 of the battery life remaining. Each video takes 1/9 of the battery life.
How many full videos can Camden complete before his phone loses its battery life?

Answers

Answer: 31 videos

Step-by-step explanation:

Steven drew Rectangle EFGH. Then, he drew a translation of it, Rectangle E'F'G'H'.
Line segment FG is 3 inches. The distance from E to E' is 5 inches.
a) How long is F'G' ?

Answers

Answer:

can you show a picture

bsbsnsnd

If 100 oil makes 45 petroleum gas, how much oil will make 20 petroleum gas?

Answers

Answer:

44 oil make 20 petroleum gas

Step-by-step explanation:

100 ÷ 45 = 2.2

2.2 oil makes one petroleum gas

20 x 2.2 = 44

Greg feeds his dog 2/3 pounds of dog food for each meal. Greg has just bought 18 pounds of dog food. For how many years will the food last? Write your answer in simplest form

Answers

Answer:

24

Step-by-step explanation:

24 divuded by .75 = 32 Meals

please help me ,38 points for 2-7 this is 7th grade 1 step equation word problems

2) Alyssa is baking a cake. The recipe calls for 9 cups of flour. She already put in 4 cups. How many more cups does she need to add ?

3) After eating at the restaurant, Sara, Tom, and Keith decided to divide the bill evenly. If each person paid 45 dollars, what was the total of the bill ?

4) Tim had 15 peaches left at his roadside fruit stand. He went to the orchard and picked more peaches to stock up the stand. There are now 68 peaches at the stand, how many did he pick?

5) Keith received 52 dollars for his birthday. He went to a sporting goods store and bought a baseball glove, baseball, and bat. He had 47 dollars left over, how much did he spent on the baseball gear?

6) Last week Tim had 38 dollars. He washed cars over the weekend and now has 91 dollars. How much money did he make washing cars ?

7) There were 6 roses in the vase. Jessica cut some more roses from her flower garden. There are now 16 roses in the vase. How many roses did she cut?​

Answers

Answer:

the answer would be the equilibrium of 28.59295

Maureen's drink coaster has a diameter of 12 centimeters. What is the coaster's area?

Answers

Answer: 113.1 cm

Step-by-step explanation:

Area of circle: (pi) * r^2
Find radius: 12/2 = 6
Assuming pi = 3.14
3.14 * 6^2 = 3.14 * 36 = 113.04
The area is 113.04

Find the interest on $4,000 at 3% for 4 months.

Answers

Answer:

$80 interest will be owed for 4 months

Step-by-step explanation:

P is the principal amount, $4000.00.

r is the interest rate, 8% per year, or in decimal form, 8/100=0.08.

t is the time involved, 3....month(s) time periods.

Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.

Do this by dividing your time, 3- month(s), by 12, since there's 12 months in 1 year.

So, t is 0.25....year time periods.

To find the simple interest, we multiply 4000 × 0.08 × 0.25 to get that:

A circular walk is 1.5 meters wide, if the outer circumference is 72 meters, what is the inside diameter of the walk?​

Answers

9514 1404 393

Answer:

  about 19.92 meters

Step-by-step explanation:

The circumference is ...

  C = πd

  72 m = πd . . . . . for outer diameter d

  d = (72 m)/π

The inner diameter is 3 meters shorter, so is ...

  inner diameter = (72/π) m - 3 m ≈ 19.92 m

What’s b I have to type it in

Answers

Answer: solve the problems and then divide it

Step-by-step explanation:

Please help me!!
A. Identify the quadrant point C is in. B. Identify the point that is on an axis. Which axis is it?

Answers

Answer:

Quadrant 2, x-axis

Step-by-step explanation:

Point C is on top left side of the x-y graph, which is quadrant 2.

An axis refers to line, so the x axis the is horizonal line, as it says on the right end of it.  The y axis is the vertical line, noted at the top of the line.

The only line that's on a line is point D and it's on the x-axis.

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