. In your rectangular backyard, you know the width of the yard is three less than four times the length. If the perimeter of your yard is 24 yards, what is the width?

Answers

Answer 1

The width of the rectangular backyard is 9 yards.

How to find the width of the rectangle?

The width of the yard is three less than four times the length.

Therefore,

w = 4l - 3

Perimeter of a rectangle = 2l + 2w

where

l = length

w = width

Hence,

24 = 2l + 2(4l - 3)

24 = 2l + 8l - 6

24 = 10l - 6

24 + 6 = 10l

30 = 10l

l = 30 / 10

l = 3 yards

Hence,

w = 4(3) - 3

w = 12 - 3

w = 9 yards

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Related Questions

y= 2/3x+7
x= -4
PLS HELP ASAP

Answers

Answer:

the slope will be

2

3

and the

y

-intercept will be

7

.

Step-by-step explanation:

If b=10, evaluate 40/b A. b=10 B. b=30 C. b=2 D. b=4

Answers

Answer:

d

Step-by-step explanation:

substitute b for 10. you get 40/10. Now simplify it down. 20/5, which simplifies again to 4/1. 4 divided by 1 equals 4, which makes d true. hope this helps

find x or solve for x ​

Answers

Answer:

[tex] \huge \boxed{ \boxed{x = 8}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:rectangleequationPEMDAStips and formulas:every angle of a rectangle is 90°let's solve:

[tex]step - 1 : define \\ 12x - 6 = 90[/tex]

[tex]step - 2 : solve[/tex]

[tex] \tt add \: 6 \: to \: both \: sides : \\ \tt12x - 6 + 6 = 90 + 6 \\ \tt 12x = 96[/tex][tex] \tt divide \: both \: sides \: by \: 12 : \\ \tt \frac{12x}{12} = \frac{96}{12} \\ \tt \therefore x = 8[/tex]

Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $35 each week for food, clothes and movie tickets. How many weeks can Keith withdraw money from his account?

Answers

8 weeks is the correct answer500 - 200 = 3008 x 35 = 280$280 is the closest you can get to $300 without going over.So, 8 weeks is the answer.Please let me know if I am wrong.

Fallon collected data for her favorite TV show. She recorded the number of viewers and the number of weeks since the show premiered. With the data in hand, she created this scatter plot and drew a line of best fit


What are the slope and the y-intercept of the line of best fit?

Answers

Answer:

On the best-fit line for the points {(2,3) (5,7) (1,2) (4,8)}, one point is (0.5,1.25) and another is the y-intercept (0,0.5). Use the formula for the slope of a line, m = (y2 - y1)/(x2 - x1), to find the slope

Step-by-step explanation:

Hope it help

Mark me as brainliest

Answer:

Slope is (6, 10) and (0, 12). The y-intercept is 12.

Step-by-step explanation:

I had this question on Edmentum.

3 Each expression below shows the length and width of
a rectangle in yards. Write each expression in the
correct box according to the area it represents.

Answers

Answer:

less than 1yd²:

2/3x3/5= 2/5

1/4x5/3= 5/12

1/2x9/10= 9/20

equal to 1yd²

1/4x4/1= 1

4/3x6/8= 1

more than 1yd²

2/3x5/3= 1.1

Step-by-step explanation:

2/3x3/5= 2/5

1/4x4/1= 1

2/3x5/3= 1.1

1/4x5/3= 5/12

1/2x9/10= 9/20

4/3x6/8= 1

Answer:

2..........3

--- x ---

3............5

Step-by-step explanation:

goes to area less than 1square yard

what is the least common multiple (LCM) of 7 and 8 plz help ​

Answers

Answer:

56

Step-by-step explanation:

trust me!!

Answer:

The LCM of 7 and 8 is 56

Step-by-step explanation:

Solve each system by graphing y = -3x - 4,y = 1/2 x + 3

Answers

Answer:

answer is x=-2, y=2

Step-by-step explanation:

y=-3x-4,

y=1/2x+3

now plug in any points for x for both equations. I will plug in both x as 0.

y=-3(0)-4

y=-4

(0,-4)

y=1/2(0)+3

y=3

(0,3)

We have points now to plot on a graph.

Continue what I did. Maybe plug in 1 for x for both equations.

Hope this helps!

Answer:

x= [tex]\frac{-8y -6}{7}[/tex]

Step-by-step explanation:

Step 1: Add (-1)/2x to both sides.

−3x − 4y + [tex]\frac{-1}{2}[/tex] x = [tex]\frac{1}{2}[/tex] x + [tex]\frac{-1 }{2}[/tex] x

Step 2: Add 4y to both sides.

[tex]\frac{-7}{2}[/tex] x - 4y + 4y = 3 + 4y

[tex]\frac{-7}{2}[/tex] x = 4y + 3

Step 3: Divide both sides by (-7)/2.

[tex]\frac{-7 }{2}[/tex] x

      = 4y+3

[tex]\frac{-7}{2}[/tex]        [tex]\frac{-7}{2}[/tex]

1 geometry question , multiple choice HELPPP??!!

Answers

Answer:  D) 49 degrees

=====================================================

Work Shown:

You'll need to use a trig ratio. Specifically, we'll be using cosine here

cos(angle) = adjacent/hypotenuse

cos(x) = 13/20

cos(x) = 0.65

x = arccos(0.65)

x = 49.4583981264954 which is approximate

x = 49

The missing angle is approximately 49 degrees

Make sure your calculator is in degree mode. The notation arccos refers to arccosine and it's the same as inverse sine.

8n + ? = 0
A.) - 8/n
B.) 8/n
C.) 1/8n
D.)-8n

Answers

D is the correct answer:)

I need help on this question

Answers

Answer:

The square on the outside of the triangles means the angle is 90. You need to find the base and the hight the divide by 2

Step-by-step explanation:

how many 1/5s are in 20?​

Answers

Answer:

There are 4

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The number of different types of drinks that a barista makes in one week is related to the cost of the drink. A collection of data on the cost of
a particular drink and the number of that drink made over the course of the week is shown in the table below, where x represents the cost of
the drink in dollars, and y represents the number of drinks made at each cost.
X
у
97
84
1.85
2.10
2.45
3.25
66
70
3.50
65
58
3.65
4.15
51
4.45
40
44
4.70
5.10
27
Using a residual plot determine if the following model is a good fit for the data.
y = -11.52 + 120.45
ОА No. The model is not a good fit because the residual plot has a random pattern,
ОВ. No. The model is not a good fit because the residual plot does not have a random pattern
OcYes. The model is a good fit because the residual plot has a random pattern.
OD Yes. The model is a good fit because the residual plot does not have a random pattern.
Reset
Next

Answers

Answer:

Step-by-step explanation:

b

Answer:

it's C bro i just took it

5/x=-9

find the variable

Answers

5/x = -9

5 = -9x (we have multiplied x out from the denominator)

5/-9 = x (divided by -9 to isolate x)

Answer:

x = -5/9

Step-by-step explanation:

5/x = -9

multiply by x on both sides

5 = -9/x

multiply by 1/-9 on both sides

-1/9*5 = -1/9 *-9/x

-5/9 = x

Robert says that the slope of a line passing through (1,7) and (3,9) is equal to the ratio 1-3/7-9 is this correct

Answers

no

to find the slope it is (y2-y1)/(x2-x1)
so in this case it would be (9-7)/(3-1)

will mark brainliest

Answers

(2x+1)+(3x-5)=5x-4 you just have to try some of them out and see which ones work

decide whether -3/12 terminates or repeats when expressed as a decimal ​

Answers

Answer:

Termintates

Step-by-step explanation:

It simplified is -.25, which, is a terminated decimal and does not repeat and go on

Answer:

Terminates

Step-by-step explanation:

first the signs don't matter, just remember to put it back at the end

try dividing it:

3 / 12 = 0 with 30 tenths left over

30 / 12 = 2 with 60 hundreths left over

60 / 12 = 5 with 0 thousandths left over

no more remainders so it terminates

Find the equation of the line that has a y-intercept of 1 and is perpendicular to the graph of the line 2x + y = 4.

Answers

Answer:

y = 1/2x + 1

Step-by-step explanation:

To be perpendicular to a line is to have the product of the slopes be -1. First, we have to put 2x + y = 4 into slope-intercept form to find the slope of the line. We do this by subtracting 2x on both sides to get that y = -2x + 4. Now, the number that multiplied by -2 is equal to -1 is 1/2, so that is the slope of our line. We can substitute these values into the slope-point equation to find the equation. We would get that y - 1 = 1/2 * (x - 0). This simplifies to y = 1/2x + 1.

marianne is a five years younger than her friends if the sum of their age is 61 how old is her friend​

Answers

Step-by-step explanation:

let marianne friend age be x and

marianne age be x - 5

if the sum of their age is 61 I.e

x + (x- 5) = 61

x + x - 5 = 61

2x =61 +5

2x = 66

divide both sides by 2

x = 33

so marianne friend age is 33 and

and marrianne age is 33-5 = 28.

Find the area of the shaded segment of the circle​

Answers

Answer:

≈ 0.8 m²

Step-by-step explanation:

________________________________________________

FORMULA FOR FINDING AREA OF SEGMENT :-

[tex]A = r^{2} [\frac{\alpha }{360} \times \pi - (\sin \frac{\alpha }{2} \times \cos \frac{\alpha }{2} )][/tex]

Where :-

A = Area of the segmentr = Radius of the circleα (alpha) = Angle subtended by arc at the center

________________________________________________

Angle subtended by the minor arc at the center = 360° - 300° = 60°

Radius of the circle = 3 m

Area of the segment =

[tex]3^{2} [ \frac{60}{360} \times \pi - (\sin \frac{60}{2} \times \cos \frac{60}{2})][/tex]

[tex]= 9[\frac{1}{6} \times \pi - (\sin 30 \times \cos 30)][/tex]

[tex]= 9[\frac{\pi }{6} - (\frac{1}{2} \times \frac{\sqrt{3} }{2} )][/tex]

[tex]= 9[\frac{\pi }{6} - \frac{\sqrt{3} }{4} ][/tex]

[tex]= 9[\frac{2\pi - 3\sqrt{3} }{12} ][/tex]

[tex]= \frac{9}{12} \times (2\pi - 3\sqrt{3})[/tex]

( Assuming √3 = 1.73 & π = 3.14 )

[tex]= \frac{3}{4} \times (6.28 - 5.19)[/tex]

[tex]= 0.75 \times 1.09[/tex]

[tex]= 0.8175[/tex]

∴ Area of the segment ≈ 0.8 m² (rounding to the nearest tenth)

I need help with this, anyone nice enough to help? :’)

Answers

Answer:

7m³ - 11m² + 5m + 17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3m³ - 4m² + 8 - (-4m³ + 7m² - 5m - 9)

Step 2: Simplify

[Distributive Property] Distribute negative:                                                  3m³ - 4m² + 8 + 4m³ - 7m² + 5m + 9Combine like terms (m³):                                                                                7m³ - 4m² + 8 - 7m² + 5m + 9Combine like terms (m²):                                                                                7m³ - 11m² + 8 + 5m + 9Combine like terms (Z):                                                                                   7m³ - 11m² + 5m + 17

simplify the expression. 7x^2+3-5(x^2-4) edguneity

Answers

Answer:

2x^2+23.

Step-by-step explanation:

Combine like terms.

This expression simplified is 2x^2+23.

WILL MARK BRAINLIEST! Which statement is true about the data set?

The stem-and-leaf plot below shows the number of pages each student in a class read the previous evening. (see attached)

Which statement is true about the data set?

A) Its median is greater than its mode.

B) It has a range of 52 pages.

C) The value of the first quartile is 13.

D) The data is symmetric.

Answers

Answer:

A I think

Step-by-step explanation:

I think it would be c, cuz 8 plus 5 is 13

Find the height of the trapezoid. A trapezoid. The base lengths are 10 meters and 6 meters. The area is 40 square meters.

Answers

Answer:

5 meters

Step-by-step explanation:

A=a+b/2*h

40=10+6/2*h

40=8h

h=5

Answer:

Step-by-step explanation:

36

The sum of two numbers is 47. twice the first number and three times the second number have a sum of 100. Set up a system of equations to find the numbers

Answers

Answer:

23

Step-by-step explanation:

x + y = 47

2x + 3y = 100

Solving steps

x + y = 47 (-2)

2x + 3y = 100

We multiply the first equation by -2. This is so that x changes to -2x (So it would match the x below). We can then cross it over, since the equation below has 2x and -2x + 2x = 0.

-2x - 2y = -94

2x + 3y = 100

Y = 6

We get y = 6 by subtracting -2y (From the above equation) from 3y. This gives us Y. Afterwards, We subtract -94 (From the above equation) from 100 and that gives us 6. Therefore, y = 6.

To get x. We sub in the value for y into one of the equations and solve.

2x + 3(6) = 100

2x + 18 = 100

We bring over 18 from one side to the other, to get x alone. We have to change 18 to - 18 because it crosses over to the other side.

2x = 100 - 18

2x = 72

x = 72÷2

x = 36.

X = 36

Y = 6

(36, 6)

what is the factored form of 4(3x + 12) + 4? ​

Answers

Answer:

12x + 52

Step-by-step explanation:

Distribute.

(4 • 3x + 4 • 12) + 4

12x + 48 + 4

12x + 52

he airplane Li’s family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane, which inequality can be used to determine how many more people can board?
96 + x Less-than-or-equal-to 149
96 + x Greater-than-or-equal-to 149
96 + x > 149
96 + x < 149

Answers

Answer: Choice A)  96 + x ≤ 149

This is the same as saying "96 + x less than or equal to 149"

====================================================

Explanation:

We start with 96 people already on board. We add on x more people. The x is a placeholder for a positive whole number.

In total, we have 96+x people on the plane. This total must not exceed the max capacity of 149. In other words, the largest value of 96+x is 149.

Since 96+x can be 149 or smaller, we can say 96+x ≤ 149

Answer:

The answer is A

Step-by-step explanation:

I got it right on edge

Pa help po plss...
sa math po​

Answers

Answer:

ok OK OK OK OK OK OK OK OK OK OK OK

6x² + 4x / 6x² + 13x + 6 ( please show work )

Answers

Answer:  6x+4x +13x+6 equal

solve by substitution
1. 6x+ 5y=7 x-y=3
2. 3a +2b =4 2a + b=6
3. 2x + y= 4 4x -y=2

Answers

Answer:

1. y = 11

x = -48

2. a =8

b= -10

3. x= 1

y= 2

Step-by-step explanation:

1 . 6x + 5y = 7

x-y= 3

6x+5y = 7

6x-6y =18

-1y = - 11

6x + 5y = 7

y = 11

6x + 55 = 7

6x = -48

x = -48

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