Mike wants to put 150 square feet of artificial turf in his front yard. This is the maximum area
of artificial turf allowed by his homeowners association. He wants to have a rectangular area
of turf with length one foot less than 3 times the width. Find the length and width. Round to
the nearest tenth of a foot.

Answers

Answer 1

Answer:

Step-by-step explanation:

Area of the rectangular area = Length * width

A = LW ...... 1

If he wants to have a rectangular area  of turf with length one foot less than 3 times the width, then

L = 3W - 1 ...... 2

Substitute 2 into 1

A = (2W-1)W

A = 2W^2 - W

Since area = 150sq.ft

150 = 2W^2 - W

2W^2 - W - 150 = 0

Factorize

2W^2 - W - 150 = 0

W = 1±√1+4(300)/2(2)

W =  1±√1201/2(2)

W = 1±34.655/4

W = 35.655/4

W = 8.91375

W = 8.9 (to nearest tenth)

Get the length

L = A/W

L = 150/8.9

L = 16.85

L = 16.6ft

Hence the length is 16.6ft and the width is 8.9ft


Related Questions

Just answer correctly to get brainleist and 10 pts! :)

Answers

Answer:

a.

Step-by-step explanation:

(2, 10) and (4, 10) have the same y value so it's not a function etc. etc.

Answer:

D. The relation represents y as a function of x, because each value of x is associated with a single value of y

Step-by-step explanation:

As long as no one x-value has two solutions, it can be considered a function. The x-values are {0, 2, 4, 6, 8}. Since there isn't any repetition, this can be considered as a function. The fact that 10 is repeated in the y-values doesn't affect that it is a function.

HELP PLEASE
in order!!!

Answers

Answer:

m<6=54 m<4=126

Step-by-step explanation:

A radio station is offering a promotion for a concert. Every 6th caller will receive a T-shirt and every 10th caller will receive a free concert ticket. Which caller will be the first to receive both a T-shirt and a free concert ticket?

Answers

The 30th caller I don’t have anything else to say but my answer has to be longer to send that’s all hopes this helps :)

Hi... can you tell me is this formula is right or wrong?? ​

Answers

Answer:

this formula is right

Sahil has a fish tank in the shape of a cuboid, as shown in the diagram

Answers

Answer:

12

bcz he can't put a 0.725 fish so it will be rounded up back to 12

The greatest number of neon tetra fish he puts in the tank is 12.

What is cuboid?

A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.

Given:

Sahil has a fish tank in the shape of a cuboid, as shown in the diagram.

The tank is 55 cm wide, 28 cm long and height is 33 cm.

And the surface of the water in the tank is 3 cm below the top of the tank.

That means,

to determine the volume,

So, the volume of cuboid

= 55 x 28 x 33

= 50820 cubic centimeters.

And we know 1000 cubic centimeters is 1 liter of water.

So, 50820 = 50.820

And divide by 4

We get the greatest number of neon tetra fish he puts in the tank.

50.820 / 4

= 12.705

≈ 12

Therefore, 12 is the required number for neon tetra fish.

To learn more about the cuboid;

https://brainly.com/question/29568631

#SPJ2


Last month, Juan ate 6 apples, 7 bananas, 4 peaches, and
5 oranges. Write the ratio of Peaches to the total number
of pieces of fruit Juan ate last month as a fraction in
simplest form.

Answers

Answer:

4/18

Step-by-step explanation:

5) y=-2
4x – 3y = 18
This

Answers

Answer:

x=3

Step-by-step explanation:

if y is -2, 3*-2 =-6, 4x-(-6) = 4x+6=18

18-6=12

12/4=3

x=3 I hope you learned something

The diagram below represents which percent?

An area model with 32 shaded sections and 68 unshaded sections.
3.2%
8%
32%
42%

Answers

Answer:

32 percent

Step-by-step explanation:

32 plus 68 =100

32 divided by 100 equals .32 or 32 percent

Answer:

Your answer is C, 32%

Step-by-step explanation:

It is 32% because if there is 32 shaded and 68 unshaded you would count the ones that are shaded which would be 32%.

I participated in a math competition but I did not do very good. Does anybody have some tips?

Answers

Study 5 times on the subject you are focusing on.

find hcf of 12 and 16 using division method

Answers

Question -:

Find HCF of 12 and 16 using division method.

Explanation -:

Step 1

First we will divide the larger number by the smaller number using long division.

Step 2

We will divide till the remainder comes 0.If the remainder is not 0, then make the remainder as the divisor and the divisor as the dividend.

Step 3

If the remainder is 0 then the divisor of the last division is the GCF.

HCF of 12 and 16 is 4.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \scriptsize{ \sf{spbankingandsscseries}}[/tex]

I WILL GIVE YOU BRAINLIEST!!!!!!
Which of the following is equivalent to –(–5.25)?


–5

5

5.25

–5.25

Answers

Step-by-step explanation:

The decimal number 5.25 is equal to the fraction 21/4.

Shanika and Vanesa are comparing their electric bills for the past month. Shanika is on a standard u
is on an interval use plan. Each person's usage is listed on the chart below:
Standard Use Plan
7.5 cents/kWh for the first 400 kWh
10 cents/kWh for the next 400 kWh
12.5 cents/kWh for anything over 800 kWh
Interval Use Plan
On-peak hours - 15 cents/kWh
Off-peak hours - 3 cents/kWh
Both women use 1,325 kWh for the given 30 day period. Vanesa uses 500 kWh during on-peak hours
peak hours. Which person ends up paying more for their utilities? How much more?
a. Vanesa pays $35.88 more than Shanika.
b. Vanesa pays $99.75 more than Shanika.
C. Shanika pays $35.88 more than Vanesa.
d. Shanika pays $99.75 more than Vanesa.

Answers

THE ANSWER IS C. Shanika pays $35.88 more than Vanessa.

Answer:

C

Step-by-step explanation:

EDGE2021

What is the equation of this graphed line?

Enter your answer in slope-intercept form in the box.

Answers

Answer:

Step-by-step explanation:

y=1/2-5x

Answer:

y = -1/3x - 5

Step-by-step explanation:

Using points on the graph to get the equation

Slope intercept form:

y = mx + b

From the graph, point (0, -5) we can see y-intercept is b = -5

An calculating the slope using two points (-6, -3) and (6, -7):

m = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = -1/3

So the line is:

y = -1/3x - 5

20 – 3n > 7n show work

Answers

Answer:

n>5

Step-by-step explanation:

move the 20 onto the other side of the > by subtracting 20 on the left side and adding 20 on the right side

now you have

-3n>7n-20

move the 7n onto the other side the same way. subtract 7n from one side and add it to -3n. now you have

4n>20

this is called adding similar terms or inverse operations what ever you wanna call it. Now you divide N by 4. This is because 4n can be simplified to 4×N and the opposite of multiplication is division. you do the same on the other side.

n/4>20/4.

you are left with n>5

Answer:

n<2

Step-by-step explanation:

Subtract 20 from both sides 20-3n-20>7n-20

Simplify -3n>7n-20

Subtract 7n from both sides -3n-7n>7n-20-7n

Simplify again -10n>-20

multiply both sides by -1 (-10n)(-1) < (-20)(-1)

Simplify 10n<20

Divide both sides by 10 Then you get your answer

HURRY PLEASE HELP ME!!!This graph shows a bicyclist moving at a constant rate. Write and equation for bicycle rider A.

Answers

Answer:

y= 30x

tep-by-step explanation:

The answer is y=30x hope this helps

Ridah has a triangular garden with the sides 28m, 15m and 41m. She has planted rose and marigold plants in her garden. She used two-third of area of the garden for planting rose plants and the rest of the area for marigold. How much area has been used for planting marigold?

Answers

Answer:

Step-by-step explanation:

Madhu bought a washing machine for Rs 13,000. He then sold it for Rs 15,000. He also paid Rs 300 to arrange the delivery of the washing machine at the buyer's house.
How much profit did Madhu make by selling the washing machine?

Answers

cost price=1300

selling price=1500

1500_1300=2000

madhu use 300 from his profit so

2000_300=1700

answer=1700

qual é 33⅓% de 108?​

Answers

0.333 x 108 = 35.96
= 36 (esta é a resposta final, eu não sei se você realmente precisa dela)

H
S
45°
299
N
106
E
29°
А A A

Answers

Answer:

Can you pls write it straight

Step-by-step explanation:

Jennifer says the quadrilaterals below must be congruent because their angles are congruent. Is she correct?

Answers

I've attached the complete question withe the 2 quadrilaterals.

Answer:

Jennifer is not correct because equal angles alone is not a proof of congruency.

Step-by-step explanation:

Now, in test for congruence, we use any of the following criteria;

SSS: Side - Side - Side

SAS: Side - Angle - Side

ASA: Angle - Side - Angle

AAS: Angle - Angle - Side

RHS: Right angle - Hypotenuse - Side

The assumption in the question is that all the angles are equal to determine that the quadrilaterals are congruent.

However, we don't use AAA(Angle - Angle - Angle theorem) as a congruence proof because it's very possible to have all the internal angles equal and yet all the corresponding sides don't have the same length.

Thus, Jeniffer is not correct.

What is the Zero of f ?

Answers

Answer:

(-1, 0)

Step-by-step explanation:

HELPPPPPPP ASAPPPPPP PLEASEEEE

Answers

I believe the answer is 70. Just ask if you want an explanation

70

f(-4)=5(2-3(-4)

f(-4)=10+60

f(-4)=70

PLEASEEE HELP!!!!!
Name the congruent triangles and justify the reason for congruence.
AABC - AFDE by HL
AABC - AEDF by ASA
AABC - AFED by HL
AABC - AFED by ASA

Answers

Answer:

b

Step-by-step explanation:

i just took the test

The solution is, ΔABC ≅ ΔFDE by SAS congruence rule.

The correct option is (1).

What are congruent triangles?

Congruence is a phrase used frequently in mathematics to refer to a harmonious connection, comprehension, or correlation. A geometric figure is said to be congruent or to be in the relation of congruence if it is feasible to superimpose it on another so that their whole surfaces match. Two triangles are said to be congruent when two sides and their included angles in one triangle are equal to two sides and their included angles in the other.

here, we have,

As per the given data:

In ΔABC :

∠A = 63°

AC = 2.2

In ΔFED :

∠F = 63°

FE = 2.2

By using the distance formula, we can find AB and FD.

From the coordinates, as we can see in the diagram

FD = 2 units

Similarly,

AB = 2 units

Now from SAS congruence rule:

AB = FD (Both are 2 units)

∠A = ∠F (given)

AC = FE (given)

Hence, ΔABC ≅ ΔFDE by SAS congruence rule.

To learn more about congruent triangles, click:

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#SPJ7

Please help me I will really appreciate it!!!

Answers

The answer is D

U would subtract a^2 then square both sides to isolate the variable

help me ill give branilyest

At store A, 3 pounds of apples cost $12.
At store B, the cost is given by y = 2x where y is the cost in dollars and x is the number of pounds of apples.
The cost of apples at store C is shown in the graph.

Answer the questions to find out which store's apples are the least expensive.

1. What is the unit price of apples at store A? Explain how you found this unit price.


Write your answer in the space below.















2. What is the unit price of apples at store B? How did you use the equation to find the unit price?


Write your answer in the space below.















3. What is the unit price of apples at store C? How did you use the graph to find the unit price?


Write your answer in the space below.















4. Which store has the lowest unit price for apples?


Write your answer in the space below.

Answers

Answer:

The unit price is the cost per unit of an item or the cost/price for each item.

1) 4$ per pound. By simplifying the proportion (constant ratio) between the cost, and the pounds of apples. 3 pounds of apples cost 12$ → 3/3 pounds of apples cost 12/3$ → 4 dollars for every pound.

2) 2$ per pound. By evaluating the rate of change (change in the y over x or dependent variable over independent) in the equation: y = 2x. y is the cost in dollars, and x is the pounds of apples. So there are 2 pounds (weight) of apples for every dollar.

3) 3$ per pound. Given a graph with a y scaled by 3, and an x scaled by 1 with a graph y = x or 1 unit up for every unit right. This must be equivalent to y = 3x. Where y is labeled as the cost in dollars, and x as the weight in pounds. So there are 3 dollars for every pound of apples.

4) Store B. Because 2 is less than 3 which is less than 4.

Simplify
2(x+7) 2x + 20
- 2 =
x+4
2x + 8

Answers

Answer:

x = 0

Step-by-step explanation:

2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing

2(x+7) would be 2x+14

4(2x+8) would be 8x+32

2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms

2x and 2x can be combined on the left side

x and 8x can be combined on the right side

4x + 14 + 20 - 2 = x + 8x + 32

4x + 32 = 9x + 32 you can now solve this equation

start by subtracting 4x on both sides

32 = 5x +32 now subtract 32 on both sides

0 = 5x so x = 0

Answer:

x = 0

2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing

2(x+7) would be 2x+14

4(2x+8) would be 8x+32

2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms

2x and 2x can be combined on the left side

x and 8x can be combined on the right side

4x + 14 + 20 - 2 = x + 8x + 32

4x + 32 = 9x + 32 you can now solve this equation

start by subtracting 4x on both sides

32 = 5x +32 now subtract 32 on both sides

0 = 5x so x = 0

The perimeter of a rectangular painting is 348 centimeters. If the width of the painting is 82 centimeters, what is its length?
1 centimeters

Answers

Answer:

Step-by-step explanation

Given

The perimeter of a rectangular painting =348 centimeter

the width of the painting=82cm

Solution

Perimeter of the rectangular painting=2(length+width)

2(Length +width)=348

2(Length+82)=348

2l+164=348

2l=348-164

2l=184

Length=184/2

So length =92cm.

Find two consecutive integers whose sum is 73. Which of the following equations could be used to solve the problem?
A. 2x = 73
B. 2 x + 2 = 73
C. x^2 + 1= 73
D. 2x + 1 = 73

Answers

I think it’s A..........

Peter, Bridget and Caroline share some sweets in the ratio 4:3:1. Peter gets 20 sweets. How
many sweets are there altogether?

Please help

Answers

The answer would be 40 because 4:3:1 then if peter has 20 and 4x5=20. 3x5= 15. And 1x5=5 so the final answer would be 20:15:5. ✌

Please someone help me

Answers

m=69 miles

you can find this because if you divide the 9 by 6 as they are matching sides you get 1.5, take that number and multiply it by the 46 and get the 69! hope that helps :D

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