Graham has enough fencing to enclose a rectangular garden with a perimeter of 140 feet. If the width of his garden is 20 feet less than the length, what is the width of the garden?

Answers

Answer 1

Answer:

Width = 25 feet

Step-by-step explanation:

Perimeter of a rectangle = 2L + 2W

W = L - 20

P = 140

Hence,

140 = 2L + 2(L - 20)

140 = 2L + 2L - 40

Collect like terms

140 + 40 = 4L

180 = 4L

L = 180/40

L = 45 feet

Length = 45 feet

Width = L - 20 feet

=( 45 - 20) feet

= 25 feet


Related Questions

CORRECT ANSWER GETS BRAINLIEST !
Vana lives 6 miles from the library and 18 miles from the museum . To the nearest mile . What is the shortest distance from the museum to the library ?
A.16mi
B.17mi
C.19mi
D.20mi

Answers

Answer:

C

Step-by-step explanation:

I just took the quiz :D

May I have Brainiest???


PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

1.75=5n or 5n=1.75

Step-by-step explanation:

There are 5 n's on the bottoms so you are doing 5 times n (5n) and then 1.75 is on the top so the equation has to equal 1.75

Answer:

5n=1.75

Step-by-step explanation:

the image, the area of the tape diagram indicating 1.75 is equal to the sum of the areas of all five parts in the diagram such that each part indicates n.

here, we have assumed that  1.75 represents an area of the first rectangle , and n represents the area of each of the small rectangle

Can someone please explain how to find the answer? My old teacher didn’t do it this way and I’m lost :/

Answers

Answer:

the triangle means "change in". so triangle x means the change in the x values and triangle y means change in y values so yeah mental calculate the difference

A local specialty store sells two brands of yogurt. Brand A is a fruit yogurt that comes in a 12-ounce container for $2.88. Brand B is a fruit yogurt that comes in a 16-ounce container for $4.48. Which one is a better buy: Brand A or Brand B?

Answers

Answer:

0.04

Step-by-step explanation:

Brand A:

so x is equal to 0.24

Brand B:

so x is equal to 0.28

Now the difference of cost would be Brand B - Brand A which would give you 0.04.

3x-2(x+5)=14 then x

Answers

3x-2 (x+5) =14
3x -2x -10 = 14
x -10 =14
10. 10. add 10 to both sides
x = 24
:)

Answer:

x = 24

Step-by-step explanation:

3x-2(x-5)=14

remove the parentheses using distributive property

3x-2x-10=14

collect like terms

x-10=14

move constant to the right side and change the sign

x=14+10

calculate ( add the numbers together)

x = 24

Betty bought 3 packages of chocolate cupcakes and 7 packages of vanilla cupcakes. Each package contains 24 cupcakes. Which equation is NOT a way to find c, the number of cupcakes Betty bought in all?

Answers

Answer:

The equation to find the number did cupcakes bought in all =

= 3c + 7c

= c(3 + 7)

The total number Betty bought in all = 240 cupcakes.

Step-by-step explanation:

Let the amount of cupcakes in a package be represented by c

Betty bought 3 packages of chocolate cupcakes and 7 packages of vanilla cupcakes.

The equation to find the number did cupcakes bought in all =

3 × c + 7 × c

= 3c + 7c

= c(3 + 7)

Each package contains 24 cupcakes

The total number = 3(24) + 7(24)

= 240 cupcakes.

Joseph has 1/2 of a sub left after lunch. He eats 1/4 of this amount for snack. what fraction of a whole sub did Joseph eat for snack

Answers

Answer:

Step-by-step explanation:

I believe the answer would be 1/4 of the sub. Because they asked about the whole sub. And it says he ate 1/4 of the amount of that half of the sub for snack. So out of the whole sandwich it would be 1/4!

If it’s not the answer your looking for you can take it off...

But...

Hope it helps

OMGGG CAN YALL ANSWER THIS !

In a newspaper, it was reported that the number of yearly robberies in Springfield in 2012 was 90, and then went down by 50% in 2013. How many robberies were there in Springfield in 2013?​

Answers

Answer:

m                        

Step-by-step explanation:

                                              m

Answer:

There were 140 robberies in Springfield in 2012.

Step-by-step explanation:

Let's marked (named) robberies in 2012 with x, which is worth 100%

196 robberies in 2013 worth 100% + 40% = 140%

Now we will make proportion

x : 196 = 100 : 140

When we multiply external and internal members we get

140 x = 196 · 100 => 140 x = 19600 => x = 19600/140 = 140

x = 140 robberies in 2012

question in the picture!!

looking for the answer of 1) , 2) and 3)

show your work using numbers!!

Answers

1) 6/25 is .24 or 24%
2) 15/50 is .3 or 30%
3) 12/40 is .3 or 30%

Answer:

1. 24%

2. 30%

3. 30%

Step-by-step explanation:

1. 100%/25= 4%   4%*6=24%

2. 100%/50= 2% 2%*15=30%

3.  100%/40=2.5% 2.5%*12= 30%

Pls help it's due tonight​

Answers

Answer:

6.25 colonies of bacteria per +pH change from 7 to 9

Step-by-step explanation:

It seems to go from 57.5 to 70 or maybe 57 or 58

Either way I will go with my guess of 57.5

Rate of Change= (70-57.5)/(9-7)=(12.5)/(2)=6.25 rate of change for colonies of bacteria per positive pH change from 7 to 9

molly bought a lunch special that was originally $14 today it is on sale for 20% off what is the sale price of the lunch special

Answers

$14*.20= $2.80

The sale price is $2.80
14 * .20 = 2.80
14 - 2.80 = 11.20
The sale price is $11.20

2. Which system of inequalities are represented by the graph below:
a) y 2x + 4
y<-x + 4
b) y> 2x + 4
y <-X + 4
c) Y S-2x + 4
y>X-2
d) y 2x + 4
YS-X+4
tem of equations have?

Answers

Answer:

12

Step-by-step explanation:

Use the slope-intercept form y=mx+b to find the slope m and y-intercept b

.

Slope: 12

y-intercept: (0,−2)

Create a 5th degree trinomial that has a constant term of 3.

Answers

Answer:

[tex]2x^5+3x^2+3[/tex] is a trinomial having with:

three terms degree 5 and The constant term '3'

Step-by-step explanation:

Considering the trinomial

[tex]2x^5+3x^2+3[/tex]

Any polynomial with 3 terms is a trinomial, so it is a trinomial.

It is clear that '5' is the highest power of the 'x' variable. so, the polynomial has a degree of 5.

'3' is the constant term. The reason is that any term with no variable is called a 'constant' term. So, '3' is the constant term.

Therefore, [tex]2x^5+3x^2+3[/tex] is a trinomial having with:

three terms degree 5 and The constant term '3'

find x (11x-1) (20x-3) 151

Answers

Answer:

x=5 I think

Step-by-step explanation:

just search it up online

A rectangle has a perimeter of 100 inches, and

one side has length x. Express the area of the

rectangle as a function of x.


Use the function in part a to find the dimensions of the rectangle with permitter 100 inches and the largest possible area

Answers

Answer:

a. A = 50x - x² b. length = 25 inches and width = 25 inches and the maximum area is 625 in²

Step-by-step explanation:

a. The perimeter of a rectangle P = 2(L + W) where L = length and W = width. Now, given that P = 100 inches and W = x, substituting these into the equation, we have

P = 2(L + W)

100 = 2(L + x)

dividing both sides by 2, we have

100/2 = L + x

50 = L + x

making L subject of the formula, we have

L = 50 - x

Now, the are of a rectangle A = LW. Substituting the values of L and W, we have

A = LW

A = (50 - x)x

A = 50x - x²

b. To find the largest possible area of rectangle with perimeter 100 inches, we differentiate A and equate it to zero to find the value of x that maximizes A.

So, dA/dx = d(50x - x²)/dx

dA/dx = d50x/dx - dx²/dx

dA/dx = 50 - 2x

dA/dx = 0 ⇒ 50 - 2x = 0

50 = 2x

dividing both sides by 2, we have

x = 50/2

x = 25

To find it this gives maximum value for A, we differentiate A twice.

d²A/dx² = d(50 - 2x)/dx

d²A/dx² = d50/dx - d2x/dx

d²A/dx² = -2

Since d²A/dx² = -2 < 0, so x = 25 gives maximum value for the area, A.

Since W = x = 25 in and L = 50 - x. So, L = 50 - 25 = 25 in

So, the maximum area A = LW = Lx = 25 in × 25 in = 625 in²

The dimension with perimeter 100 inches that give maximum area are length = 25 inches and width = 25 inches and the maximum area is 625 in²

Jade's car used 2 gallons to travel 46 miles. How many gallons of gas would she need to travel 207 miles?

Answers

Answer:

9 gallons

Step-by-step explanation:

2/46 = 0.04347826086 gallon per mile

0.04347826086 x 207 miles =

9 gallons

what is 5 times 10 to the sixth power times 5 times 10 to the seventh power in scientific notation

Answers

Answer:

The Answer for this question in scientific notation is:

2.5e+14

Answer:

5 · [tex]10^{13}[/tex]

Step-by-step explanation:

hope this helps

Tracy spends $97 on her cell phone bill this month. Her bill is usually around the same amount each month. If she wants to include an estimate of her cell phone bill in her monthly budget, what amount should she use? Round to the nearest ten.

Answers

Answer:

$100

Step-by-step explanation:

97 is rounded to 100 because the last digit is more that 5.

I hope this helped, please mark Brainliest, thank you!

300% of 82 is what number?

Answers

Answer:246

Step-by-step explanation:

Translate the sentence six less than the product of four and a number is -2 into an equation

Answers

Answer:

4x-6=-2

Step-by-step explanation:

This is the mathematical form of the equation.

Find the surface area of the prism

Answers

Answer:

the answer is 29

Step-by-step explanation:

Chandler wants to raise 200$ to buy a new gaming system. He already has 80$ and plans to save 40$ a week. How many weeks will it take chandler to raise enough money to buy his gaming system?

Answers

Answer:

3 weeks

Step-by-step explanation:

Step one:

given data

expected amount =$200

cash already at hand=$80

savings per week=$40

let the number of weeks be x

Step two:

the linear function for the situation is the same as the equation of a straight line

y=mx+c------1

200=4x+80

solve for x

200-80=40x

120=40x

divide both sides  by 4

x=120/40

x= 3 weeks

Chandler will save for 3 weeks

can someone help me please

Answers

Answer:

6 (x)

Step-by-step explanation:

Solve the equation. If exact roots cannot be found, state the consecutive integers between which the roots are located.


x = -3 and 1
x = -2
No real roots.
x = 3 and -1

Answers

Answer:

No real roots.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

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

Algebra II

Imaginary Roots: √-1 = i

Step-by-step explanation:

Step 1: Define

-3x² + 2x = 1

Step 2: Rewrite in Standard Form

Subtract 1 on both sides:                    -3x² + 2x - 1 = 0

Step 3: Define

a = -3

b = 2

c = -1

Step 4: Find roots

Substitute in variables:                    [tex]x=\frac{-2\pm\sqrt{2^2-4(-3)(-1)} }{2(-3)}[/tex]Exponents:                                       [tex]x=\frac{-2\pm\sqrt{4-4(-3)(-1)} }{2(-3)}[/tex]Multiply:                                            [tex]x=\frac{-2\pm\sqrt{4-12} }{-6}[/tex]Subtract:                                           [tex]x=\frac{-2\pm\sqrt{-8} }{-6}[/tex]

Here we see that we cannot take the square root of a negative number. We will get no real roots and only imaginary ones.

What is the minimum value for the function shown in the graph?


(pls help asap thank you :^)

Answers

The minimum value for the function is -6

Which number is rational?

1. –2.1010010001...
2. –0.8974512...
3. 1.2547569...
4. 5.3333333...

PLEASE HELP ITS A UNIT TEST AND TIMED

Answers

Answer:

4.) 5.3333333....

Step-by-step explanation:

Rational numbers are either repeating decimals:

[tex]\frac{1}{3}= 0.333333333....[/tex]

Include terminating decimals:

[tex]\frac{1}{8}= 0.125[/tex]

Are all numbers that can be written as a quotient of integers:

[tex]\frac{a}{b},b\neq 0[/tex]

Options (1), (2), and (3) are neither repeating, terminating, and can't be written as a quotient of integers.

Option (4) has repeating decimals, so this is rational.

:Done

I think the correct answer would be option 4. 5.3333333...

A newspaper is rolled into a cylindrical shape of approximate diameter 4cm It is wrapped for posting with a strip of paper which goes about 2 1/2 times round the newspaper Use the value 3 for π to find the approximate length of the wrapping paper. And 2. Calculate the total surface area of a solid cone of slant hight 10cm and base diameter 10 cm.Use the value 3.14 for π

Answers

Answer:

30 cm

[tex]863.5\ \text{cm}^2[/tex]

Step-by-step explanation:

d = Diameter of cylinder = 4 cm

n = Number of times the strip of paper is turned = [tex]2\dfrac{1}{2}=2.5[/tex]

Diameter of the cylinder will be approximately equal to the diameter of the paper wound. Length of one turn will be circumference of the paper

Circumference of the paper

[tex]c=\pi d\\\Rightarrow c=3\times 4\\\Rightarrow c=12\ \text{cm}[/tex]

Total length of the paper will be the number of turns multiplied by the length of one turn

[tex]l=nc\\\Rightarrow l=2.5\times 12\\\Rightarrow l=30\ \text{cm}[/tex]

Length of the strip of paper is 30 cm.

2.

l = Slant height = 10 cm

d = Base diameter = 10 cm

r = Radius of base = [tex]r=\dfrac{d}{2}=\dfrac{10}{2}=5\ \text{cm}[/tex]

Total surface area of cone is given by

[tex]S=\pi r^2+\pi rl\\\Rightarrow S=\pi r(r+rl)\\\Rightarrow S=3.14\times 5(5+5\times10)\\\Rightarrow S=863.5\ \text{cm}^2[/tex]

The total surface area of cone is [tex]863.5\ \text{cm}^2[/tex].

Reflections of the coordinate plane homework 3

Answers

Answer:

can we have more info please?

Step-by-step explanation:

A circle has a diameter of 26 mm. What Is Its circumference?

Use 3.14 for 1, and do not round your answer. Be sure to Include the correct unit in your answer

Answers

The circumference is 81.681


The formula for circumference is 2 x pi x radius


In order to find the radius you need to divide 26 by 2


26 divide by 2 is equal to 13


2 x 3.14 x 13= 81.681 or 26pi

find the value of x that makes m|n

Answers

Answer:

x = 60°

Step-by-step explanation:

Two parallel lines will have the same angle if another line intersects them. That means 2x+15° = 135°.

2x = 120°

x = 60°

Answer:

opposite number of -18

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