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

Find the area of the parallelogram

Answers

Answer:

A = 99.84 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 9.6 and h = 10.4 , then

A = 9.6 × 10.4 = 99.84 cm²

Step-by-step explanation:

We can see that this parallelogram is two right angles joined side by side. Normally the area of a parallelogram is Base x Height.

But let's make an exception.

For the first right angle. The area = 1/4(b+h)

¼(10.4+9.6) = 5cm²

We see that the base of the triangle is flipped and the angles correspond

so, the area would be 5cm² * 2

= 10cm²

The manger of a water park keeps track of the amount of money collected, M, and the number of tickets,T, each day.

Answers

Answer: The variable t us the dependent variable because it affects the amount of money collected, m, each day.

A company has two warehouses that are 360 miles apart. A truck leaves Warehouse A and heads towards Warehouse B traveling at 45 miles per hour. At the same time, a truck leaves Warehouse B and heads towards Warehouse A traveling at 60 miles per hour. How long will the trucks be driving before they meet each other on the road?
between 1 and 2 hours
between 2 and 3 hours
between 3 and 4 hours
between 4 and 5 hours

Answers

Answer:

Between 3 and 4 hours

Step-by-step explanation:

Let's turn the sentence into an equation, suppose that both trucks will be traveling at a constant rate, let x be the number of hours truck A has been traveling, and let y be the number of hours truck B has been traveling. Then we can set up the equation:

[tex]45x+60y=360[/tex]

Both of these terms must add up to 360 since that will be the point where both trucks will meet. To solve this, we can use a graphing calculator:

(see picture)

Since both trucks left the warehouses at the same time, we need that:  [tex]x=y[/tex]

And the point in the graph that x=y is around 3.42 and 3.44, so we can conclude that both trucks must be traveling for 3-4 hours for them to meet on the road.

I hope this helps.

help I have foreign parents.....they will literally disown me if I fail - ♥️​

Answers

Answer:m∠1 = 51°Step-by-step explanation:

We know that:

Total degrees of triangle: 180°

Using this clue, we can find m∠1.

=> 67 + 62 + m∠1 = 180=> 129 + m∠1 = 180=> m∠1 = 180 - 129=> m∠1 = 51°Conclusion:

We have finally found the answer to the missing angle. The answer is 51°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

help please anybody PLEASE​

Answers

Answer:

18 dimes

Step-by-step explanation:

Since Leon has ”16 fewer than” it’s a symbol to subtract

34-16=18

Answer:

34-16=18 leon has 18 dimes

Step-by-step explanation:

hope this helps

How to rationalize the denominator that is a radical.

Answers

Answer:

Option B is the correct answer, 3√2

2(x + 3) = x-4

What does X equal !!!

Answers

Answer x =-10

Step-by-step explanation:

:)

What is the solution for x if

Answers

Answer: the answer is B which is x < -1

Step-by-step explanation: trust me bro and happy holidays :)

Answer:

[tex]\huge\boxed{B)\ x<-1}[/tex]

Step-by-step explanation:

Solve this inequality the same way you would solve an equation: by isolating x.

Simply subtract 6 from both sides to get -4x > 4.   Then merely divide both sides by -4 to get x < -1.  (Notice that when dividing by a negative number, you must flip the sign of the inequality.)

Hope it helps :)

A bag contains
80
balls.
The ratio of red to blue balls is
3
:
7

Find how many red and blue balls there are.

Answers

Answer:

24 red balls 56 blue balls

Step-by-step explanation:

We can use the ratio as percentages

30% of 80 is 24 red balls, and then we do 80-24=56 to calculate blue balls

PLEASE HELP QUESTION IN PICTURE. (15 POINTS)

Answers

2x-9 + 5x-3 + 2x-2 = 9x-12 so it’s D

Which expressions are equivalent when m = 1 and m = 4? 5 m minus 3 and 2 m 5 m 3 m 4 and m 4 2 m 2 m 7 and 3 m minus 3 m 5 m 3 and 4 m 2 2 m.

Answers

Answer:

Step-by-step explanation:

The expressions that are equivalent when m = 1 and m = 4 is;

Option B: 3m + 4 and m + 4 + 2m

We are given m = 1 and m =4;

A) 5m - 3 and 2m + 5 + m

B) 3m + 4 and m + 4 + 2m

C) 2m + 7 and 3m - 3 + m

D) 5m + 3 and 4m + 2 + 2m

For option B; 3m + 4 and m + 4 + 2m

Let's put m = 1

3(1) + 4 = 7

Also, 1 + 4 + 2(1) = 7

Similarly, let us put 4 for m to get;

3(4) + 4 = 16

Also, 4 + 4 + 2(4) = 16

In both cases, the expressions are equivalent and as such option B is the right one.

Read more about algebra simplifications at; https://brainly.com/question/4344214

4.5% of it is 23% of 45

Answers

Answer:

230

Step-by-step explanation:

23% of 45 = 10.35

10.35 / 4.5 = 2.3

2.3 x 100 = 230

Step-by-step explanation:

it will be equal 230 as in the shown photo

simply 5(x-y)+2(x+y)​

Answers

Answer:

5x-5y+2x+2y

7x-3y

That's it

Using the digits 1 to 9, without repeating any numbers, place a digit in each box that will create 3 equivalent ratios.

Answers

6:3 = 14:7 = 58:29

hope this is helpful!

There is 46% hard working Elfs in the North Pole. there is 300 elfs in north pole. How many elfs are hard working

Answers

Answer:

138 hard working elfs

Step-by-step explanation:

the 46% of 300 is 138

Answer:

There is 138 Hard working Elves at the North Pole.

Step-by-step explanation:

300× 0.46= 138

√16 + 9 equals √16 + √9
true or
False

Answers

Answer:

True

Step-by-step explanation:

Form a number with: 3 in the tens place, 4 in the thousands place, 6 in the ones place, 9 in the hundreds place, and 5 in the ten thousands place.

Answers

54,936


Hope this helps!

Laura is going to invest in a business. There is a 50% chance that she will make $8000, a 40% chance that she will lose $4000, and a 10% chance that she will break even (make $0). What is the expected value for Laura's investment?

Answers

Based on the various probabilities of outcomes, the expected value of the investment is $2,400

The expected value can be calculated as:

= ∑ (Probability of event happening x Payoff if event happens)

The expected value here is therefore:

= (50% x 8,000) + (40% x -4,000) + (10% x 0)

= $2,400

In conclusion, the expected value is $2,400.

Find out more at https://brainly.com/question/13412627.

ANSWER. Robert takes a roast out of the oven when the temperature of the roast is 165 F. After 15 minutes, the temperature of the roast drops to 135 F. The temperature of the room is 70 F. How long does it take for the temperature of the roast to drop to 110 F?

ANSWER IS 34

Took the test :)

Answers

umm!! that’s great to hear- was there any help you needed?

Solve.
[tex] \frac{ \sqrt{5} + \sqrt{3} }{ \sqrt{5} - \sqrt{3} } + \frac{ \sqrt{5} - \sqrt{3} }{ \sqrt{5} + \sqrt{3} } [/tex]
Solve.



Answers

Step-by-step explanation:

Hope it will help you a lot.

if you can answer any of these that would be great !

Answers

Answer:

Step-by-step explanation:

number 2) 0

Can someone plz help me? :(

Answers

the answer to your question is B.) 12x

A volunteer group picked up 3 times as many plastic bottles as cans in their community. The number of papers they picked up was 15 more than of the number
of cans. If the volunteers picked up 288 cans, how many more plastic bottles than papers did they pick up?

Answers

try 4,320 for your answer

I WILL GIVE 20 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY

Answers

Answer:

I believe it is 30.

Step-by-step explanation:

on the screenshot it shows 18, 24, 30, meaning 30 is the answer

Write the equation 5x + 2y = -6 in general form.

Answers

Answer:

[tex]5x+2y+6=0[/tex]

Step-by-step explanation:

General equations are in the form [tex]Ax + By + C = 0[/tex]

So you can add 6 to both sides to make:

[tex]5x+2y+6=0[/tex]

What did the British hope to achieve by establishing the Dominion of New England? a stronger colonial stance against New France more self-government in the colonies firmer control over an increasingly independent New England the reestablishment of royal control over New York and New Jersey

Answers

Answer:

Britain's goal with the Dominion of New England was to conglomerate all the governance of the colonies under one governor, a governor that would be able to properly enforce British laws. Before the Dominion was created, New England colonies were ruled under individual charters that allowed for self-government.

Step-by-step explanation:

5 |2x + 6| = 25 what is x

Answers

Step-by-step explanation:

මාපාංක සුලු කිරිම.

l xl means ± x .

then |2x+6| = ±(2x+6)

for positive no;

5 (2x+6) = 25

10x + 30 = 25

10x = -5

x = -1/2

for negative no;

5(-2x - 6) = 25

-10x - 30 = 25

-10x = 55

x = - 11/2

otherthan that I observed.

5 |2x + 6| means only consider about the positive number. i think it called as amplitude.

then you have to calculate by considering only considering plus value.

How ever in my openion is first method is correct. i have doubt about that. so you have to discuss your teacher dear. to find correct way.

Mario and Andrew's hourly charge for mowing lawns is shown.

Mario: $8.25/h
Andrew: $5.85/h
Suppose Mario and Andrew each worked for 20 hours. About how much more money did Mario earn?

Answers

about $40 explanation. in this problem you need to round and multiply so round each number 8.25 rounds to 8 and 5.85 rounds to 6 multiply each by 20 and then subtract the greater number by the less number.

What is the percent of decrease from 100 to 38?

Answers

Answer: 62

Step-by-step explanation:

100 - x = 38

x =62

What is the Square root of -18

Answers

Answer:

3i square root 2

Step-by-step explanation:

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