The figures below show sketches of Earl's and Dylan's flower gardens. If the perimeter of each of their gardens is the same, what is the length and width of Earl's garden?​

The Figures Below Show Sketches Of Earl's And Dylan's Flower Gardens. If The Perimeter Of Each Of Their

Answers

Answer 1

Answer:

[tex] length = 12 ft [/tex]

[tex] width = 8 ft [/tex]

Step-by-step explanation:

Earl's garden:

[tex] length = (x + 6) ft [/tex]

[tex] width = (x + 2) ft [/tex]

[tex] perimeter = 2(length) + 2(width) [/tex]

[tex] perimeter = 2(x + 6) + 2(x + 2) [/tex]

[tex] perimeter = 2x + 12 + 2x + 4 = (4x + 16) ft [/tex]

Dylan's garden:

[tex] length = (2x - 2) ft [/tex]

[tex] width = (x + 4) ft [/tex]

[tex] perimeter = 2(length) + 2(width) [/tex]

[tex] perimeter = 2(2x - 2) + 2(x + 4) [/tex]

[tex] perimeter = 4x - 4 + 2x + 8 = (6x + 4) ft [/tex]

Generate an equation to solve for the value of x.

Since the perimeters of both gardens are the same, therefore:

[tex] 6x + 4 = 4x + 16 [/tex]

Collect like terms

[tex] 6x - 4x = - 4 + 16 [/tex]

[tex] 2x = 12 [/tex]

Divide both sides by 2

[tex] x = 6 [/tex]

Earl's garden:

[tex] length = (x + 6) ft [/tex]

Plug in the value of x

[tex] length = 6 + 6 = 12 ft [/tex]

[tex] width = (x + 2) ft = 6 + 2 = 8 ft [/tex]

Answer 2

Answer:

l: 12ft

w: 8ft

Step-by-step explanation:

 


Related Questions

x2y4(x2 - 16) - 9y4(x4 - 16)


simplify

Answers

Step-by-step explanation:

given the expression

[tex]x^22y^4(x^2 - 16) - 9y^4(x^4 - 16)[/tex]

we proceed by opening the brackets

[tex]x^2y^4(x^2 - 16) - 9y^4(x^4 - 16) \\\\x^4y^4-16x^2y^4-9x^4y^4+144y^4\\\\[/tex]

collet like terms we have

[tex]x^4y^4-16x^2y^4-9x^4y^4+144y^4 \\\\x^4y^4-9x^4y^4-16x^2y^4+144y^4 \\\\8x^4y^4-16x^2y^4+144y^4[/tex]

factoring we have

[tex]8x^4y^4-16x^2y^4+144y^4\\\\8y^4(x^4-2x^2)+144y^4[/tex]

1.45 rounded to the nearest hundredth

Answers

Answer:

1.45

Step-by-step explanation:

1.45 is already rounded to the nearest hundredth..

Answer:

1.45 (no need to round)

Step-by-step explanation:

When looking at this question we can clearly see that there are only 2 numbers behind the decimal.

We know that the number closet to the decimal is the tenths place.

And that the number second closet to the decimal is the hundredths place.

And that the number third closet to the decimal is the thousandths place.

Since there is no thousandths place we can't round the 5 up.

Which is why your answer is 1.45

What is the measure of c?
Angles are not necessarily drawn to scale.
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trig
20
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66
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2
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Answers

9514 1404 393

Answer:

  114°

Step-by-step explanation:

Angles LOM and MON are a linear pair, so are supplementary.

  x + 66 = 180

  x = 180 -66 = 114

The measure of ∠x is 114°.

open this n help me out

Answers

Answer:

you need to stop cheating or your not going to learn anything BOI

SHAPE UP BOI

Divide number 184 in 1:2:5 ratio

Answers

Answer: 184:368:920

Explanation: 920x0.4 is 368

d+7-8+e=j.............

Answers

Sorry but that’s not even an expression

Answer:

d-1+e=j

Step-by-step explanation:

d+7-8+e=j

subtract the like terms.

7-8=-1

d-1+e=j

Hope this helps.

solve for p
19/20=3p/18

Answers

Answer:

p=5.7

Step-by-step explanation:

Cross multiply.

Answer:

p = 5.7

Step-by-step explanation:

Given

[tex]\frac{19}{20}[/tex] = [tex]\frac{3p}{18}[/tex] ( cross- multiply )

60p = 19 × 18 = 342 ( divide both sides by 60 )

p = [tex]\frac{342}{60}[/tex] = [tex]\frac{57}{10}[/tex] = 5.7

Jenny is organising a barbecue. There are 30 bread rolls in a pack. There are 16 sausages in a pack. She needs exactly the same number of bread rolls as sausages. What is the smallest number of each pack she must buy?

2. Tom, Sam and Matt are doing a show by counting drum beats .They decided to donate the collecting money for the poor children for their studies. Tom hits a snare drum every 2 beats. Sam hits a kettle drum every 5 beats. Matt hits a bass drum every 8 beats. Tom, Sam and Matt start by hitting their drums at the same time. How many beats is it before Tom, Sam and Matt next hit their drums at the same time? What value you can see in their act

Answers

Answer:

She need to buy 8 packs of rolls and 15 packs of sausages! The LCM is 240 so you would need to find out how many packs or rolls and how many packs of sausages equal 240!

Step-by-step explanation:

Is it a proportional or not proportional

Answers

Answer:

it is

Step-by-step explanation:

Answer:

Not Proportional, you're correct

Elijah opens a savings account with $60. Each week after, he deposits $25. In how many weeks will he have saved $600?

Answers

Answer:

25w + 60= 600

25w= 540

w=21.6

Step-by-step explanation:

First make the equation

1. Subrtract 60 from each side

2. Now divide 25 on both sides

3. now you have the answer

I GOT A DECIMAL SO MAYBE ROUND OR PUT THAT EXACT ANSWER.

Answer:

24

Step-by-step explanation:

What I did was divide 600 by 25 and got 24.So, Elijah has $600 after 24 weeks                                                                              

Please help??? Thank you !!

Answers

Answer:

54w-9

Step-by-step explanation:

the box to the right is -1 because you are multiplying 6w-1 by 9 (the box next to the blank one on the bottom). the other blank box below the 6w is going to be 54w since you multiply 6w and 9 to get that. therefore, 9(6w-1) is 54w-9.

SURFACE AREA HELP ASAP!!

Answers

Answer:

Step-by-step explanation:

can you get a bigger picture pls

the picture isn’t clear enough to see

Find the value of g (-2) if g(x) = x3 - x

Answers

Answer: -6

Step-by-step explanation:

See attached picture

What are the solution(s) of x2-4-0?

X=-4 or X-4
X=-2 or X= 2
X=2
X=4

Answers

Answer:

X = - 2 or X = 2

Step-by-step explanation:

*completing the square*

X^2 - 4 = 0

X^2 = 4

X = +-√4

x = +-2

x= -2, 2

*factoring*

X^2 - 4 = 0

(x-2)(x+2) = 0

|. |

x = 2, x = -2

________________________________

(x-2)(x+2) = x(x+2) - 2(x+2) = x^2 + 2x - 2x - 4 = x^2-4

Three teachers equally shared StartFraction 4 Over 5 EndFraction of a flat of paper that was donated to the school. What fraction of the flat of paper did each teacher receive? StartFraction 4 Over 45 EndFraction of the flat StartFraction 4 Over 15 EndFraction of the flat StartFraction 14 Over 45 EndFraction of the flat StartFraction 12 Over 15 EndFraction of the flat

Answers

Answer:

b

Step-by-step explanation:

Find the distance between (3,4) and (4,-6).

Answers

Answer:

The answer is

[tex] \sqrt{101} [/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3,4) and (4,-6)

The distance between them is

[tex]d = \sqrt{ ({3 - 4})^{2} + ({4 + 6})^{2} } \\ = \sqrt{ ({ - 1})^{2} + {10}^{2} } \\ = \sqrt{1 + 100 } \: \: \: \: \: \: \: \: \: \\ = \sqrt{101} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

[tex] \sqrt{101} [/tex]

Hope this helps you

hellllllpp mmmmeeeeee

Answers

Answer: quick math boi

Step-by-step explanation: photo maths

An irrational number between 2 and 2.5

Answers

Answer:

Irrational number between 2 and 2.5 = √2*2.5 = √5

Step-by-step explanation:

2 < √5 < 2.5

We know that √5 is an irrational number.

So, √5 is the required irrational number between 2 and 2.5.

The measure of an angle is 63°. What is the measure of its supplementary angle?

Answers

Step-by-step explanation:

[tex]63 + x = 180 \\ x = 180 - 63 \\ x = 117 \\ so \: the \: supplemetary \: angle \: of \: 63 \: deg \: is \: 117 \: deg.[/tex]

i hope i have been useful buddy.

good luck ♥️♥️♥️♥️♥️

What is the median of this set of values?
6, 8, 10, 8, 4, 2, 12

A. 4
B. 6
C. 7
D. 8

Answers

Answer:

D.8

Step-by-step explanation:

In order to find median you need to find the middle number of the set by crossing each one out until you get to the middle. I hope this helps!

Ssolve y=2x+4. y=-3-1

Answers

substitute y:
-3-1=2x+4
-4=2x+4
Minus 4 on both side
-8=2x
Divide 2 in both side
-4=x

Noah is buying a pair of jeans and using a coupon for 10%off. The total price is $56.70 which includes $2.70 in sales tax. Noah’s purchase can be modelled by the equation
x-0.1x+2.70=56.70
what does the solution to the equation mean in this situation?
How can you verify that 70 is not a solution but 60 is the solution?

Answers

Answer:

See below.

Step-by-step explanation:

So, we know that Noah's purchase can be modeled by the equation:

[tex]x-0.1x+2.70=56.70[/tex]

Part 1)

The solution to the equation will be the value of x.

In this case, x will represent the original price of the jeans.

We know that Noah has a coupon for 10% off the original price of the jeans.

So, 0.1x will represent how much of the original price Noah gets a a discount on.

Therefore, (x - 0.1x) represents the total cost of the jeans after the coupon.

So, x is our original price of the jeans.

Part 2)

To verify that 70 is not a solution, we can simply substitute 70 for x and check whether or not the equation is true. So:

[tex](70)-0.1(70)+2.7\stackrel{?}{=}56.70[/tex]

Multiply:

[tex]70-7+2.7\stackrel{?}{=}56.7[/tex]

Subtract:

[tex]63+2.7\stackrel{?}{=}56.7[/tex]

Add:

[tex]65.7\neq56.7[/tex]

However, we can verify that 60 is the solution by substituting. So, substitute 60 for every x:

[tex](60)-0.1(60)+2.7\stackrel{?}{=}5.7[/tex]

Multiply:

[tex]60-6+2.7\stackrel{?}{=}56.7[/tex]

Subtract:

[tex]54+2.7\stackrel{?}{=}56.7[/tex]

Add:

[tex]56.7\stackrel{\checkmark}{=}56.7[/tex]

So, 60 is indeed the solution and is the value of x.

So, this means that $60 was the original price of the jeans.

Answer:

$60

Step-by-step explanation:

i did it on paper

-4x+1/3+2-x/5=



the dashes are fraction things the 3 and the 5 are denominators I have the answere I just wanna check.​

Answers

Answer:

-21x/5 + 7/3

Step-by-step explanation:

-4x + 1/3 + 2 - x/5

= -4x - x/5 + 1/3 + 2

= -(20x+x)/5 + (1+6)/3

= -21x/5 + 7/3

One half of the area of the square is
shaded. What is the area of the shaded
region?

Answers

Answer:

Step-by-step explanation:

1/2

Luke drove 260 miles in 4 hours. If he continued at the same rate, how far would he travel in 18 hours?

Answers

Answer:

1170 miles in 18 hours.

Step-by-step explanation:

Answer:

1170

Step-by-step explanation:

260 ÷4 = 65

65×18=1170

When two parenthesizes are near each other what does that mean

Answers

Answer:

I think it is Brackets

Step-by-step explanation:

Good luck

I NEED HELP QUICK!!


Solve the solutions of the inequality -|x - 2| + 9 < 6

Answers

Answer:

x<-1 or x>5

Msg me if you need step

<3

Red

Help me pleaseee.....

Answers

Answer:

titutex=cos\alp,\alp∈[0:;π]

\displaystyle Then\; |x+\sqrt{1-x^2}|=\sqrt{2}(2x^2-1)\Leftright |cos\alp +sin\alp |=\sqrt{2}(2cos^2\alp -1)Then∣x+

1−x

2

∣=

2

(2x

2

−1)\Leftright∣cos\alp+sin\alp∣=

2

(2cos

2

\alp−1)

\displaystyle |\N {\sqrt{2}}cos(\alp-\frac{\pi}{4})|=\N {\sqrt{2}}cos(2\alp )\Right \alp\in[0\: ;\: \frac{\pi}{4}]\cup [\frac{3\pi}{4}\: ;\: \pi]∣N

2

cos(\alp−

4

π

)∣=N

2

cos(2\alp)\Right\alp∈[0;

4

π

]∪[

4

;π]

1) \displaystyle \alp \in [0\: ;\: \frac{\pi}{4}]\alp∈[0;

4

π

]

\displaystyle cos(\alp -\frac{\pi}{4})=cos(2\alp )\dotscos(\alp−

4

π

)=cos(2\alp)…

2. \displaystyle \alp\in [\frac{3\pi}{4}\: ;\: \pi]\alp∈[

4

;π]

\displaystyle -cos(\alp -\frac{\pi}{4})=cos(2\alp )\dots−cos(\alp−

4

π

)=cos(2\alp)…

1

Top

Display

2cy + 8m = 2f solve for c

Answers

Answer:

c=(f-4m)/2y

Step-by-step explanation:

2cy = 2f -8m

divde both sides by 26

c=(2f-8m)/2y

simplify

c=(f-4m)/y

When you roll two number cubes, what are the odds, in simplest form, in favor of getting two numbers less than 3?


A• 1:8

B• 8:1

C• 1:9

D• 9:1

(Worth 30+ Points)

Answers

Answer:

c

Step-by-step explanation:

If two number cubes are rolled, the odds in favor of getting two numbers less than 3 is 1 : 9.

What is the probability?

Probability determines the odd that an event would happen. The odd the event occurs is 1 and the odd that the event does not occur is 0.

Odds in favor of getting two numbers less than 3 = (numbers less than 3 / total numbers) x (numbers less than 3 / total numbers)

2/6 x 2/6 = 1/9

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ2

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