We need to use 60 yards of fencing to enclose a rectangular shaped garden the length is 30 yards less than twice the width. Find the dimensions of the garden.

Answers

Answer 1

Answer:

W = 16 2/3 yards

L = 3 1/3 yards

Step-by-step explanation:

A rectangle will consist of two sides with length L, and two more sides with length W.  Area will be W*L.

We are told that L is 30 yards less than 2W:

L = 2W - 30

We also learn that we have 60 yards of fencing for the perimeter, which is 2L + 2W.

Therefore, we can write:  2W + 2L = 60 yards.

I see the words "need to use," so I must conclude that all of the fencing must be used.  This sounds like a domestic issue.

Let's use L=2W-20 in the equation 2W + 2L = 60:

2W + 2L = 60

2W + 2(2W-20) = 60

2W + 4W-40 = 60

6W =100

W = (100/6) = 16 2/3 yards

L = 2W - 30

L = 2(16+(2/3)) - 30

L = 33 1/3 - 30

L = 3 1/3 yards

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

Is the length 30 yards less than twice the width?

2W = 33.33

33.33 - 3.33 = 30 yards  YES


Related Questions

PLEASE ANSWER QUICKLY 100 POINTS!!!! Simplify the expression below. (See picture below) What is the numerator of the simplified expression?

Answers

Answer:

13N+26/9n-26/3

Step-by-step explanation:

Answer:

13N+26/9n-26/3

Step-by-step explanation:

Mark as brainliest

HELP HELP ME PLS I AM RUNNING OUT OF TIME!!!! HERE IS MY PROBLEM:
An attorney drove 9 1/4 miles from his home to a clients home and another 4 3/5 miles to get to his office. How far did he drive in total?​

Answers

Answer:

Step-by-step explanation:

To write fractions with a common denominator, you will most likely need to scale some numbers up! I will explain how.

Let's try it with the fractions

2

3

and

3

12

12 is larger than 3, so we will have to multiply the 3 by some number to equal 12. (We are really finding the Least Common Multiple of the two denominators!) To do this, you have to multiply the 3 by 4, because 3x4=12. But now the numerator doesn't match the denominator. When you scale the denominator up, you have to scale the numerator up too! So the 2 must be multiplied by 4 also.

Now you have the following:

8

12

and

3

12

These fractions now have common denominators! Now they're all set for adding or subtracting fractions.

Try another:

2

6

and

3

5

: The least common multiple of 6 and 5 is 30. (the product of the denominators)

Transform each fraction by multiplying by "1":

2

6

5

5

=

10

30

and

3

5

6

6

=

18

30

One last problem:

4

9

and

7

6

What is the least common multiple of 9 and 6? Could you use 54? Absolutely, but it is not the LEAST number that you could use. How about 18? YES!

4

9

2

2

=

8

18

and

7

6

3

3

=

21

18

Ready to go...

Hope this helped!

Find the m, b, and write the equation for the following graph:

Answers

Answer:

y = 3, m=0, b=3

Step-by-step explanation:

Hi there! If you look at the graph, we have a horizontal like crossing through y=3. your m value will be 0 as there is no slope. For your b value, it will be 3 as the y-intercept is 3.

I hope this helps!

If two terms of an arithmetic sequence are a11 = 23 and a15 = −5, what is a28?

Answers

The value of a28 given a11 = 23 and a15 = −5 is -96

Given:

a11 = 23

a15 = −5

Where,

a1 = first term

d = common difference

a11 = a + 10d = 23

a15 = a + 14d = -5

a + 10d = 23 (1)

a + 10d = 23 (1)a + 14d = -5 (2)

subtract (1) from (2) to eliminate a

14d - 10d = -5 - 23

4d = -28

d = -28 / 4

d = -7

Substitute d = -7 into (1)

a + 10d = 23 (1)

a + 10(-7) = 23

a - 70 = 23

a = 23 + 70

a = 93

So,

a28 = a + 27d

= 93 + 27(-7)

= 93 + -189

= 93 - 189

= -96

Therefore, the value of a28 given a11 = 23 and a15 = −5 is -96

Learn more about arithmetic sequence:

https://brainly.com/question/6561461

At the Coyotes' football game yesterday, the Coyotes scored 6 points for every 1 point scored by their opponent, the Rams. Pick the diagram that models the ratio in the story. If the Coyotes scored 42 points, how many points did the Rams score

Answers

Answer:

The Rams scored 7 points.

Step-by-step explanation:

42/6 = 7

since the Coyotes scored 42 points, you would divide that score by however many they would get for every 1 point the Rams would get.

What is an equation of the line that passes through the points (4, -1) and (-8, -7)?

Answers

Answer:

y=-1/2x - 3

I think this is it, its been a while though.

The perimeter of the figure below is 140 ft.
Find the length of the missing side.

Answers

Answer:

9.2 ft

Step-by-step explanation:

140 - 9.6 - 10.2*8 - 19.8*2 = 9.2

mark me as brainliest PLEASE

Rationalize the denominator 1/ (5-2√3)​

Answers

Explanation :-

At first, we have to multiply the numerator and the denominator and the denominator's inverse such that (a-b)(a+b) = a² - b² is formed in the denominator.

Denominator = 5-2√3Rationalizing factor = 5 + 2√3

[tex]\qquad[/tex]_________________________

[tex]\bf Multiplying\:by\:\: \purple{ \dfrac{5+\sqrt{3}}{5+\sqrt{3}}}\\[/tex]

[tex]\qquad[/tex][tex] \longrightarrow \bf \dfrac{1}{5 - 2\sqrt{3} } \times \dfrac{5 + 2\sqrt{3} }{5 + 2\sqrt{3} }\\ [/tex]

[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{1(5 + 2\sqrt{3}) }{(5 - 2\sqrt{3})(5 + 2\sqrt{3}) } [/tex]

[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{5 + 2\sqrt{3} }{ {(5)}^{2} - (2 \sqrt{3})^{2} } [/tex]

[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(5 \times 5) - (2 \times 2 \times \sqrt{3} \times \sqrt{3} )} [/tex]

[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(25) - (12)} [/tex]

[tex]\qquad[/tex][tex] \purple{ \longrightarrow \bf \dfrac{5 + 2 \sqrt{3} }{13} } [/tex]

[tex]\qquad[/tex]_________________________

Answer is 2/(5+√13)

Rationalize the denominator 1/ (5-2√3)

May I please receive help?

Answers

Are you looking for a acute angle?

Answer:

Its right angel

Step-by-step explanation:

Sorry if m wrong

Please help I need help by the end of today

Answers

Answer:

  A.  x = 7, y = 3

Step-by-step explanation:

The triangles are congruent by HL if the hypotenuses are congruent, and if the marked legs are congruent.

  3x -1 = 6y +2 . . . . hypotenuses are congruent

  2x = 5y -1 . . . . . . .legs are congruent

Subtracting 2 times the first equation from 3 times the second gives ...

  3(2x) -2(3x -1) = 3(5y -1) -2(6y +2)

  6x -6x +2 = 15y -3 -12y -4

  9 = 3y . . . . . . . . . . . add 7 and simplify

  y = 3 . . . . . . . . divide by 3

This value of y matches only answer choice A.


A stainless steel gas grill is list priced at $495. The manufacturer offers a series discount of 25/20/10 to wholesalers and a 25/20 series discount to
retailers. What is the difference between the prices?

Answers

Answer:200$

Step-by-step explanation:

pls help!! the answers are written but can someone explain how to find the angles step by step? I already know how to find the hypotenuse length.

Answers

There are a few options we can take. One way is to use the tangent ratio to tie together the opposite and adjacent sides, and then apply the inverse tangent (aka arctangent) to get the angle itself.

Let x be the upper left acute angle, and y be the lower right acute angle.

We can say

tan(angle) = opposite/adjacent

tan(x) = 16/5

x = arctan(16/5)

x = 72.645975 approximately

x = 72.6

and also

tan(angle) = opposite/adjacent

tan(y) = 5/16

y = arctan(5/16)

y = 17.3540246

y = 17.4

Note how x+y = 72.6+17.4 = 90. The two acute angles of any right triangle are complementary, meaning they always add to 90. So if you found x, then you can compute y = 90-x without needing the tangent ratio.

Your calculator needs to be in degree mode when using the arctangent function, which is denoted as [tex]\tan^{-1}[/tex] on many graphing calculators.

A company pays its employees $26 for every 4 hours of overtime worked in a day.

Mike works 9 hours of overtime and is paid $53.
Rachael works 8 hours of overtime and is paid $52.
Tom works 17 hours of overtime and is paid $442.
John works 16 hours of overtime and is paid $100.


Which employee receives an appropriate payment for the hours of overtime worked, according to the given unit ratio?

Answers

Answer:

John

Step-by-step explanation:

Can someone please help me with this one? Tysm!!

Answers

Answer:

-26

Step-by-step explanation:

well add the negative numbers first so you get

-17-18=(-35)

then you add 9 so its (-35)+9=26

Answer:

Step-by-step explanation:

-17 + 9 +(-18) = -8 -18 = -26 final answer

On a scale drawing, a statue is 8.3 inches tall. The scale factor is 212. Find the actual height of the statue.

Answers

Answer:

1759.6

Step-by-step explanation:

8.3 multiplied by 212 i think

Is the relationship between the temperature scales proportional?Why or why not?

Answers

Answer: No, see explanation below

Step-by-step explanation:

For the relationship between the temperature scales to be proportional, the ratio (the number we get when dividing the given temperature in Celsius by the temperature in Fahrenheit) has to be constant.

[tex]\frac{0}{32}=0\\\frac{10}{50}=0.2\\\frac{20}{68}=0.29[/tex]

In the example, I give, we can see that is not the case. It applies to any value as well, therefore the relationship between the temperature scales is NOT proportional

Please help me

if v=6, w=-9, and x=7

Answers

Answer:

im sorry but r u even trying..... bc i just answer one of ur questions

Step-by-step explanation:

-19

(-9)^2 = 81
3(6) + (7) = 25
(-9) + (6-1) = -4

Now solve. 81-5= 76
76\ -4 = -19

Calculate the area of trapezium CDEF.

Answers

Answer:

i think 24 cm² is answer good luck

expand: -4(2x + 2) +3​

Answers

Answer:

-8x-8+3

-8x-5

that is the answer for this question and I will send you the link to mp3 and

A bicycle has a listed price of $588.95 before tax. If the sales tax rate is 8.25% , find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

$637.54

Step-by-step explanation:

The cost is $588.95 and the tax is 8.25%, which needs to be turned into a decimal by moving the decimal 2 places to the left. .0825. Now multiply 588.95 x .0825 and that gives you the tax: $48.59 after rounding. Now add the tax to the price: 588.95 + 48.59 = $637.54.

What are the outliers for 7,1,9,9,12,25,9,7,7,

Answers

The outliers are 1 and 25.

а 5. Protein Bar A has 15 grams of protein in
a 40 gram bar. Protein Bar B has 20 grams of protein in a 60 gram bar. Which bar has more protein per gram?​

Answers

The answer is Protein Bar A

when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter​

Answers

Answer:

125 cm

Step-by-step explanation:

when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter​?

A Regular polygon is a polygon with all sides of equal length

so

25 * 5 = 125 cm

anybody help please hehehe​

Answers

Answer:

It is the second one 20^247

Step-by-step explanation:

Monty Ricker obtained a used car loan of $6,000.00 at 8% for 36 months. The monthly payment is $ 187.80. The balance of the loan after 12 payments is $ 4,159.90. The balance after the 34th payment is $ 380.60.

Answers

Answer:

What is the intrest for the 13th payment?

Answer:  What is the interset

Step-by-step explanation:

Make y the subject of the formula
5y - 4h = 18

Answers

Answer:

[tex]\displaystyle \large{y=\frac{18+4h}{5} }\\[/tex]

Alternatively, you can use [tex]\displaystyle \large{y=\frac{18}{5}+\frac{4h}{5} }\\[/tex] as an answer.

Step-by-step explanation:

To make y as the subject of equation, we have to find a way to isolate y-variable.

First, add 4h both sides of equation which we obtain:

[tex]\displaystyle \large{5y-4h+4h=18+4h} \\\displaystyle \large{5y=18+4h}[/tex]

Next, we divide both sides by 5 so we can finally have y-isolated equation and thus it becomes the new subject of equation.

[tex]\displaystyle \large{\frac{5y}{5} =\frac{18+4h}{5} }\\\displaystyle \large{y=\frac{18+4h}{5} }[/tex]

Thus the answer is y = (18+4h)/5

Alternatively for solution, you can separate the fraction which we obtain a valid alternative solution.

[tex]\displaystyle \large{y =\frac{18}{5} +\frac{4h}{5} }\\[/tex]

Either one of these solutions work.

_______________

Let me know in the comment if you have any questions.

Giving brainliest
Write the inequality that represents the possible values for x

Answers

Answer:

6x +12 < 10

Step-by-step explanation:

guys please (number 3)

Answers

Answer:

500 < c < 1,700

Step-by-step explanation:

Can you help me please

Answers

I think it’s 32? i dont know good luck

Does any one mind helping me on this question I have struggle solving it

Answers

answer for (a) attached.

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(They say he cheats at cards.)And his footprints are not found in any file of Scotland Yard's.And when the larder's looted, or the jewel-case is rifled,Or when the milk is missing, or another Peke's been stifled,Or the greenhouse glass is broken, and the trellis past repair -Ay, there's the wonder of the thing! Macavity's not there!And when the Foreign Office find a Treaty's gone astray,Or the Admiralty lose some plans and drawings by the way,There may be a scrap of paper in the hall or on the stair -But it's useless to investigate - Macavity's not there!And when the loss has been disclosed, the Secret Service say:`It must have been Macavity!' - but he's a mile away.You'll be sure to find him resting, or a-licking of his thumbs,Or engaged in doing complicated long-division sums.Macavity, Macavity, there's no one like Macavity,There never was a Cat of such deceitfulness and suavity.He always has an alibi, and one or two to spare:At whatever time the deed took place - MACAVITY WASN'T THERE!And they say that all the Cats whose wicked deeds are widely known(I might mention Mungojerrie, I might mention Griddlebone)Are nothing more than agents for the Cat who all the timeJust controls their operations: the Napoleon of Crime! what color is monosaccharides Negative and positive test. 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