The length of the garden is 10 feet more than twice its width. The perimeter of the garden is 170 feet.
What are the length and width of the garden?

Answers

Answer 1

Answer:

The width of the garden is 25 feet

The length of the garden is 60 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle

= P = 2L + 2W

Where L = Length, W = Width

The length of the garden is 10 feet more than twice its width.

P = 170

L = 2W + 10

Hence,

170 = 2(2W + 10) + 2W

170 = 4W + 20 + 2W

Collect like terms

170 - 20 = 6W

150 = 6W

W = 150/6

W = 25 feet

The width of the garden is 25 feet

Remember

L = 2W + 10

L = 2(25) + 10

L = 50 + 10

L = 60 feet

The length of the garden is 60 feet


Related Questions

please solve!

y-2/5y

Answers

3/5y because y is the same as 1y and 1 - 2/5 = 3/5

(6)(-18)(5)= (-18)(6)(5)

Answers

It’s either 5 or true

Find the sum of 4.5 x 10^2 and 6 x 10^3 and show work please

Answers

Answer:

6.45 × 10³

Step-by-step explanation:

4.5 × 10² + 6 × 10³ = 0.45 × 10³ + 6 × 10³ = (0.45 + 6) × 10³ = 6.45 × 10³

Answer:

450 and 6000

Step-by-step explanation:

4.5 × 10²

4.5 × 100

450

6 × 10³

6 × 1000

6000

Refer to the spinner. Find the odds of the spinner not landing on an even number.
• 1:3
•1:1
•2:1
•1:2

Answers

Answer is Choice B.   1:1

Explanation:

We have three numbers that aren't even, and they are {1,3,5}

There are three numbers that are even, and they are {2,4,6}

The odds in favor of not getting an even number is 3:3 = 1:1

To list the odds in favor, you write the number of ways to get what you want, followed by a colon, then the number of ways to get what you don't want. In this case, both counts are 3. The ratio 3:3 reduces to 1:1 after dividing both parts by 3.

Answer:

1:1

Step-by-step explanation:

how many odd sections are even: 3

how many sections are not even: 3

the odds are 3 : 3= 1:1

odds are what you expect to come out versus what you don't expect(favorable to un favorable).

confusion comes in when talking about probability

probability is what you want to come out versus the total chances whether odd or even(favorable to total outcomes). eg

in this example

the probability of it not landing on the even number is:

number of odd sections=         3     =   1:2

number of total outcomes=     6

‼️IM GIVING OUT BRAINLIEST ‼️

Elsa used the multiplication table below to write ratios that are equivalent to StartFraction 12 Over 4 EndFraction.

A multiplication table.

One number is missing from the equivalent ratio, as shown.

StartFraction blank Over 12 EndFraction

What is the missing number?
6
18
24
36

Answers

Answer: 24

Step-by-step explanation:

On a test with 30 questions, Bill answered 80% correctly. How many
answers did he get wrong?

Answers

Answer:

30 X .8=24 30-24=6 bill got 6 questions wrong

Please hurry. Thank you in advance

Answers

Answer:

The value of x in this equation is -23

Step-by-step explanation:

The given equation is:

[tex]-x-8 = 15[/tex]

The given equation is a linear equation in one variable. The solution of the equation requires isolating x on one side of the equation.

Properties of equality will be used to find the solution.

Using Addition property of equality

Adding 8 on both sides

[tex]-x-8+8 = 15+8\\-x = 23[/tex]

Multiplication property of equality

Multiplying both sides by -1

[tex]x = -23[/tex]

Verification:

[tex]-x-8 = 15\\-(-23)-8 = 15\\23-8 = 15\\15 = 15[/tex]

Hence,

The value of x in this equation is -23

You have given an equal sided triangle with side length a. A straight line connects the center
of the bottom side to the border of the triangle with an angle of α. Derive an expression for
the enclosed area A(α) with respect to the angle (see drawing

Answers

Answer:

Where α is an acute angle (first figure)

The area of the shaded triangle = ((√3)·a²/4)·sin(α)·csc(120 - α))

Where α is an obtuse angle (second figure)

The required area of the shaded region = (√3)·a²/4 + (√3)·a²/4)·sin(α)·sec(α + π/6)

Step-by-step explanation:

Where α is an acute angle (first figure)

The given parameters are;

The given triangle = Equilateral Triangle

Let the sides of the equilateral triangle = 2·a

Therefore;

The measure of each interior angles of the given triangle = 60°

Let c represent the side of the shaded triangle opposite ∠α and b represent the side of the shaded triangle opposite ∠60° and c, represent the third side of the shaded triangle, we have;

The sides of the equilateral triangle = 2·a

By sine rule, we have;

c/sin(α) = b/sin(60°) = a/sin(180 - (60 + α)) = a/sin(120 - α))

b = sin(60°) × a/sin(120 - α)) = (√3)/2 × a/sin(120 - α))

The area of the shaded triangle = 1/2 × a × b × sin(α) = 1/2 × a × (√3)/2 × a/sin(120 - α)) × sin(α) = ((√3)·a²/4)·sin(α)·csc(120 - α))

The area of the shaded triangle = ((√3)·a²/4)·sin(α)·csc(120 - α))

Where α is an obtuse angle (second figure)

The required area of the shaded region = The area of the equilateral triangle - The area of the small unshaded triangle, with base side a and interior angles, (180° - α), 60° and ((180 - (180° - α) - 60°) = ) α - 60°

The area of the unshaded triangle is found as follows;

By sine rule, we have;

c/sin(180° - α) = b/sin(60°) = a/sin(α - 60°)

b = sin(60°) × a/sin(α - 60°) = (√3)/2 × a/sin(α - 60°)

The area of the unshaded triangle = 1/2 × a × b × sin(α) = 1/2 × a × (√3)/2 × a/sin(α - 60°) × sin(α) = -((√3)·a²/4)·sin(α)·sec(α + π/6)

The area of the shaded triangle =  -((√3)·a²/4)·sin(α)·sec(α + π/6)

The required area of the shaded region = 1/2×a²·sin(60°)  - (-((√3)·a²/4)·sin(α)·sec(α + π/6))

The required area of the shaded region = (√3)·a²/4 + (√3)·a²/4)·sin(α)·sec(α + π/6)

Which fraction is equivalent to negative 1 over 6 ? (1 point) 6 over negative 1 negative 6 over 1 negative 6 over negative 1 1 over negative 6 I will give you the brainiest too

Answers

Answer:

1 over negative 6

Step-by-step explanation:

okay so first you said you had negative 1 over 6, this can be written as -1/6.

You then had -6/1 twice and finally you had 1 over negative 6, which can also be written as -1/6.

Ask questions if you are confused

Answer:

1 over negative 6

Step-by-step explanation:

okay so first you said you had negative 1 over 6, this can be written as -1/6.

You then had -6/1 twice and finally you had 1 over negative 6, which can also be written as -1/6.

The table shows the mileages x (in thousands of miles) and the selling prices y (in thousands of dollars) of several used automobiles of the same year and model.
Mileage, x: 22 14 18 30 8 24
Price, y: 16 17 17 14 18 15
a.) Use a graphing calculator to find the equation of the line of best fit. Round the slope to the nearest tenth and y-intercept to the nearest integer.
y=
b.) Identify the correlation coefficient. Round to the nearest thousandth.
r=
Interpret the correlation coefficient.
the data show a ___ ___ correlation.

Answers

Answer:

ŷ = -0.18363X + 19.71681

-0.9685

Step-by-step explanation:

Given the data:

Mileage, x: 22 14 18 30 8 24

Price, y: 16 17 17 14 18 15

Using the online regression calculator :

The regression equation obtained is :

ŷ = -0.18363X + 19.71681

Where ;

y = predicted variable

- 0.18363 = slope or gradient

X = predictor variable

19.71681 = intercept

The correlation Coefficient R = -0.9685

This signifies a strong negative relationship between the x and y variable.

The line of best fit has an equation of:

y = -0.1875x + 19.625

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let x represent the mileages (in thousands of miles) and y the selling prices(in thousands of dollars) of used automobiles.

Plotting the points using geogebra graphing calculator, the line of best fit has an equation of:

y = -0.1875x + 19.625

Therefore the slope is -0.1875 and the y intercept is 19.625

Find out more at: https://brainly.com/question/11324911

3(6d-24)=6(12+3d)
i need help

Answers

Answer:

No solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

3(6d−24)=6(12+3d)

Step 1: Simplify both sides of the equation.

3(6d−24)=6(12+3d)

(3)(6d)+(3)(−24)=(6)(12)+(6)(3d)(Distribute)

18d+−72=72+18d

18d−72=18d+72

Step 2: Subtract 18d from both sides.

18d−72−18d=18d+72−18d

−72=72

Step 3: Add 72 to both sides.

−72+72=72+72

0=144

Answer:

There are no solutions.

What is the image of (2, 3) after a reflection over the line y = -x?

Answers

Answer:

(-2,-3)

Step-by-step explanation:

this is because when any point is flipped over y=-x, it makes both y and x negative.

hope this helps :)

n-7<15 then graph on number line

Answers

Answer:

n<22

Step-by-step explanation: That is the best i can do it

At the grocery store, 5 pounds of ham costs $21.65. How much would 50 pounds of ham cost?

Answers

Answer:

$216.50

Step-by-step explanation:

Set up a proportion

5/21.65= 50/x

The seating capacity of the school gym is 550. So far, there are 210 fans at a basketball game. How many
more fans could attend the game?

Answers

Answer:

340 more fans

Step-by-step explanation:

550 - 210 = 340

p.s. There shouldn’t be anyone at a basketball game anyway.

what sports do you play?​

Answers

Answer:

football

Step-by-step explanation:

also known as soccer

Find the slope given the two points:
(3, 70) , (15, 90)

Answers

Answer:

x= 5/3

Step-by-step explanation:

i need help with this question i dont know what to do or what its asking

Answers

What's the question???

Please be more specific on what question you’re asking next time

which is smaller -6 or 5

Answers

Answer:

-6

Step-by-step explanation:

on a number labled for example -10 through 10, -6 would be lower then 5

Scotty buys 10 bananas for $15. At this rate, how much will Scotty pay for 3 bananas?

Answers

Find what each banana costs by dividing the $15 dollars between the 10 bananas 15/10=$1.5 then times by 3 to get how much 3 bananas cost $1.5*3= $4.50

Which Lines Are Parallel if M<4 = m<5? Justify Your Answer.

Answers

Answer:

Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. That means angle 1 = angle 5 as well.

When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6, and so forth. Since we know angle 1 = angle 5, we can conclude that r and s are parallel.

Answer:

The other person is correct!

Step-by-step explanation:

( I wanted to give them credit because if I put close to what they put I would be reported for Plagiarism so I Just wanted to say they are correct!) :)

do this to get brainiest!

(click on the image to see clearly)

Answers

Answer: 8. 3^4+n^4, 9. 7^3+m^4, and 10. s+2t^3.

Step-by-step explanation:

Answer:

8. 4n + 12

9. 6m + 28

10. 3s + 6t

Step-by-step explanation:

8. As can be seen in the image, there are four sides that are n long and four sides that are 3 long. This can represented like this:

4n + 3(4)

Simplify the expression:

4n + 12

9. In this figure, there are 3sides with the length 7 and 4 sides with the length m. However, the length of the top of the figure seems to be unknown. Its length is the same as the length of the bottom half of the figure, which is 2m and one 7. So, add two more m and one more 7 to our expression. Now our expression looks like this:

6m + 7(4)

Simplify:

6m + 28

10.There are 3 sides with length s + 2t. This can be represented like this:

3(s + 2t)

Multiply the 3 by both terms in the parentheses:

3 * s = 3s

3 * 2t = 6t

The simplified expression is:

3s + 6t

Hope this helps :)

3/8 + 1/8 - 2/7 + 1/4

Answers

Answer:

0.46428571428

Step-by-step explanation:

Answer:

13/28

Step-by-step explanation:

3/8 + 1/8 = 4/8 = 1/2 = 0.5

1/2 - 2/7 = 3/14 = 0.214285714286

3/14 + 1/4 = 13/28 = 0.464285714286

13/28 or 0.464285714286

Hope this helps! <3

Can someone help me with this, please???


2. Describe in words what you will do to solve this. You do not need to solve it. -3x = 12
I know I need to determine what you have to add or subtract to 13 to get 12, but how do you get rid of the -3?

Answers

Answer:

-3x=12

-3x/-3=12/-3

X=-4

You are taking part in a 10 km charity walk. It takes you 3.25 hours to complete the walk. What was your average walking speed, in km per hour? Round your answer to the nearest​

Answers

Answer:

3.077 km/hr (though your question did not specify where to round to)

Step-by-step explanation:

10km/ 3.25 hr

does anyone do savvas realize

Answers

Answer:

Yes, I do for my Spanish class!

Do you have any questions about it?

Does anyone else like online.... oooor is just me

Answers

online what? if you mean online school yeah i kinda like it better

HELPPPPPPPPPPPPPP!!!!!!

Answers

Answer:

I love and want to see you in your underwear

Step-by-step explanation:

PLEASE ANSWER FAST !!

Answers

Answer:

Obviously condensation

Step-by-step explanation: because it is

What is the difference of the expression (1 + 4i) − (−16 + 9i)?

Answers

Answer:

Step-by-step explanation:

(1+4i)-(-16+9i)

1+4i+16-9i

17-5i

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