MODELING REAL LIFE A green roof is like a traditional roof but covered with plants. Plants used for a green roof cost $0.75 per square foot. The roof shown is 40 feet long. How much does it cost to cover both sides of the roof?

Answers

Answer 1

Answer:

$1200

Step-by-step explanation:

Let the roof be square shaped

Area of the roof = L²

L is the side length of the roof

Given

L = 40ft

Area of the roof = 40²

Area of the roof = 1600ft²

If plants used for a green roof cost $0.75 per square foot, this means

1 ft² = $0.75

Let the cost needed to cover both sides of the roof be y, hence;

1600ft² = y

Divide both expressions

1/1600 = 0.75/y

y × 1 = 0.75×1600.

y = 0.75×1600

y = 1200

Hence it will cost $1200 to cover both sides of the roof


Related Questions

Work out
m
and
c
for the line:
y
=
9
x

Answers

Answer:2

Step-by-step explanation:

2

For line y = 9x, m = 9 and c = 0

What is the slope-intercept form of the line?

"y = mx + c, where m is the slope of the line and c is the y-intercept of the line."

What is slope of the line?

"It is the change in y coordinate with respect to the change in x coordinate."

What is y-intercept?

"It is a point at which a line intersects the Y-axis."

For given question,

We have been given an equation of line y = 9x

By comparing above equation of line with the slope-intercept form of line,

m = 9 and c = 0

This means the slope of the line y = 9x is 9 and the y-intercept is 0

Therefore, for line y = 9x, m = 9 and c = 0

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Dan invests £800 into his bank account.
He receives 5% per year simple interest.
How much will Dan have after 3 years?
Give your answer to the nearest penny where appropriate.​

Answers

Answer:

p=£800

r=5%

t=3years

Step-by-step explanation:

simple interest=ptr/100=£800×5×3/100=£120

Answer:

sorry dont know answer :C

Step-by-step explanation:

Please help me with this homework

Answers

Answer:

(i) Not true for any cases, (ii) True for some cases, (iii) True for some cases, (iv) True for all cases.

Step-by-step explanation:

Now we proceed to check each statement in terms of concepts of function from Analytical Geometry:

(i) Two lines that have the same y-intercept and the same slope intersect at exactly one point.

False, two lines that have the same y-intercept and the same slope intersect at every point. Both lines are coincident. (Answer: Not true for any cases)

(ii) Two lines that have the same y-intercept intersect at exactly one point.

Conditionally true, two lines that have the same y-intercept intersect at exactly one point if and only if slopes are different. (Answer: True for some cases)

(iii) Two lines that have the same slope do not intersect at any point.

Conditionally true, two lines that have the same slope do not intersect at any point if and only if they share the same y-intercept. (Answer: True for some cases)

(iv) Two lines that have two different slopes intersects at exactly one point.

True, two lines that have two different slopes intersects at exactly one point no matter what y-intercepts they have. (Answer: True for all cases)

HELP ASAP!!!
Use Pythagorean Theorem to solve. Round to the nearest tenth •
33 cm
х
55 cm

Answers

Answer:

x= 44 cm

Step-by-step explanation:

[tex] {55}^{2} = {33}^{2} + {x}^{2} \\ {x}^{2} = 3025 - 1089 \\ {x}^{2} = 1936 \\ x = \sqrt{1936} = 44[/tex]

(multiple choice) plz help me!!

Answers

[tex]8 \sqrt{5} is \: the \: length[/tex]

Step-by-step explanation:

[tex]( {16})^{2} = ( {x})^{2} - ( {8})^{2} \\ 256 = {x}^{2} - 64 \\ 256 + 64 = {x}^{2} \\ \sqrt{320} = \sqrt{ {x}^{2} } \\ 8 \sqrt{5} = x[/tex]

Based on the information, determine which sides of quadrilateral ABCD must be parallel m angle A= 67°, m angle b = 120°, m angle c=73°, m angle d =100°

Answers

Answer:

None of the sides are parallel.

Step-by-step explanation:

Quadrilaterals are all figures or shapes bounded by four sides. Some common examples are: square, rectangle, trapezium, rhombus, parallelogram etc.

Two or more lines are said to be parallel, if none of the lines meet when extended till infinity. i.e they are at [tex]180^{o}[/tex] to one another.

Given a quadrilateral ABCD with the measures of angles as given, none of its sides would be parallel.

PLSS HELP the length of a rectangle is 3 meters greater than 2 times the width the perimeter of a rectangle is 30 m what is the length of the rectangle​

Answers

Answer:

Width: 4 meters. Length: 11 meters

Step-by-step explanation:

If you do it correctly, the length should be 3 more greater than 4*2. 4*2= 8 +3= 11. Your perimeter= 30 meters. 11+11 accounting for both long sides of the rectangle= 22. Accounting for both sides of the width, so 4*2=8 + our 22= 30 meters. Yw.

The length of the rectangle​ width 4 meters and length 11 meters.

If you do it correctly,

The length should be 3 more greater than

What is the perimeter of a rectangle?

P=2(l+w)

L= Length

W = Width

4*2. 4*2= 8 +3= 11.

Your perimeter= 30 meters.

11+11 accounting for both long sides of the rectangle= 22.

Accounting for both sides of the width,

So 4*2=8 + our 22= 30 meters.

Therefore we get the length of a rectangle is  11 meters.

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ou just purchased a brand new car for $45,000. The car depreciates by about 7% each year.



Which expression shows the value of the car in x years.


y=45,000(0.93)xy is equal to 45 comma 000 times 0 point 9 3 to the x th power

y=45,000(0.97)xy is equal to 45 comma 000 times 0 point 9 7 to the x th power

y=45,000(1.07)^xy=45,000( 1.0 7^x)

y=45,000(1.7)^x

Answers

Each year the car depreciates at a rate of 7% per year. Each year the car will depreciate by the amount of $3,150per/year.
3150(#of years) would give you the the amount if the cars worth in that time spand

Can someone explain this

Answers

Answer:

Jatziry 10%, Kwa 11.1% , Miguel 12.5% , Gina 13%

convert all into percentages

Geometry
Help please

Answers

Step-by-step explanation:

14x+y=60

4x-6= 10

4x= 16

x= 4

56+y=60

y= 4

20 POINTS

Solve for p.

98 = 4p + 38

Answers

Answer:

98= 4p + 38

4p = 38 - 98

4p = - 60

P = - 60/4

P = -15

Answer:

p=15

Step-by-step explanation:

98=4p+38

(98-38)=4p

60=4p

(60/4)=(4p/4)

15=p

Factorise
12x2 + 16x

Answers

Answer:

Answer is 4x(3x2+4x)

Step-by-step explanation:

12x2+16x

4(3x2+4x)

4x(3x+4)

I hope it's helpful!

Tom needs to buy a wood board long enough to cut into 4 pieces,
each of which needs to measure 8.5 inches. Estimate to the nearest inch
7
how long of a board Tom needs to buy.
A. 36 inches
B. 32 inches
C.40 inches
D. 9 inches

Answers

The answer is A. 8.5 times 4 = 36

add 3 to h, then subtract 9 from the result

Answers

Answer:

3h-9

Step-by-step explanation:

you can't fit it into an equation because 1, i dont  a image of it and 2, you can't subtract a number from a coefficient/variable

2 to the power of 4 x 2 to the power of 5 =

Answers

Answer:

Answer is 512.

Step-by-step explanation:

I hope it's helpful!

Mariah had 2 2/4 bags of soil to use in her garden. After her gardening she had 3/4 of a bag left. How much soil did she use?

Answers

Answer:

[tex]\frac{7}{4}[/tex] of a bag of soil

Step-by-step explanation:

Given: Mariah had [tex]2\frac{2}{4}[/tex] bags of soil to use in her garden. After her gardening, she had [tex]\frac{3}{4}[/tex] of a bag left

To find: quantity of soil used.

Solution:

Quantity of soil in the garden = [tex]2\frac{2}{4}=\frac{10}{4}[/tex] bags of soil

Quantity of soil left = [tex]\frac{3}{4}[/tex] of a bag

Quantity of soil used [tex]=\frac{10}{4}-\frac{3}{4}=\frac{7}{4}[/tex] of a bag of soil.

What is the area of the composite shape?

Answers

I really don’t know dude just here for free points
Explanation: step by step

Because the graph below is misleading, which magazine appears to have about four times the circulation of circuitry today?
a. American Ampersand
b. Waffle all World
c. Fossil Week
d. None of them​

Answers

Answer:

A. American Ampersand

Step-by-step explanation:

Question is asking for what appears to be four times the circulation and American Ampersand appears to be four times the circulation.

Since the graph below is misleading, a magazine which appears to have about four times the circulation of circuitry today is: A. American Ampersand.

What is a graph?

A graph can be defined as a type of chart that is typically used for the graphical representation of data such as magazine circulation in a country, by using both the horizontal and vertical lines, which are called x-axis and y-axis respectively.

By critically observing the misleading graph above, we can deduce that American Ampersand is a magazine which appears to have about four times the circulation of circuitry today because its bar is the smallest among others.

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-7 2/3 + (5 1/2) + 8 3/4 = Need the answer asap

Answers

Answer:

answer is 7898tI don't know either thank very much for the points though

16 m - 14
???????????help

Answers

Umm... 16(m-14)?
16m-224

If it is 16m-14, I’m not sure how to solve without more information.

A water tank in the shape of a pyramid has a rectangular base with dimensions of 10 feet by 15 feet. The height of the rectangular pyramid is 12 feet. Water fills half the volume of the water tank. How many more cubic feet of water is needed to finish filling the water tank?
(Explanations are appreciated along with your answer.)

Answers

600ft³ will be the required volume

Volume of pyramid

The formula for calculating the volume of the rectangular prism is expressed as:

V = 1/3lwh

Given the following information

l = 10 feet

w = 15feet

h = 12 feet

Get the volume

V = 1/3(10 * 15 *12)

V = 1/3(1800ft³)

V = 600ft³

Hence 600ft³ will be the required volume

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2) Richard, Henry and Gavin share some sweets in the ratio 4:1:3. Richard gets 7 more sweets
than Gavin. How many sweets does Henry get?​

Answers

Answer:

6

Step-by-step explanation:

Richard gets 7 more sweets than Gavin which would probably make Richard have the most so in total he should have around 8 whilst Gavin has 1 so right now we have 4:1:?. Basing off the fact that Richard would have the most sweets Henry would have to have 6 sweets to be able to divide half of it for 3. 4:1:3

Write an equation of a line that passes through the point (1, 2) and is perpendicular to the line y=-1/4x+2​

Answers

Answer:

y = 4x - 2 would be the equation

Sketch the image of A (-3,5) after the described glide reflection.
Translation: (x, y)=(x - 2, y + 5)
Reflection: in y =4



Plz HELP me out I really don’t understand this!

Answers

Answer:

Translation (x, y) = (x - 2, y + 5)

(x, y) = (x - 2, y + 5)

(-3, 5) = (-3 - 2, 5 + 5)

(-3, 5) = (-5, 10)

So this means that point A' (-5, 10) is your translation of point A (-3, 5) .

Now let us look at the reflection. It says to reflect across the y = 4. Basically you will draw a horizontal straight line on 4. Count how many units is point A (-3, 5) is. Then do it on the other side of the line. Point A' (-3, 3) is reflected across y = 4 of point A (-3, 5).

Hope this helps, thank you !!

Last week, John ran 10 miles. If John runs 35 percent farther this week, then how many more miles did he run this week?

Answers

10*.35=3.5 more miles

100% = 1.0
50% = .50
......

Please help, will mark brainliest ​

Answers

Answer: 10

Step-by-step explanation:

Question A:

The formula to find the hypotenuse is c²=a²+b²

So you would insert the numbers into the formula which would be c²=8²+6²

8²=64

6²=36

36+64=100

So c²=100

Then you want to find c on its own so you have to square root 100.

The square root of 100 is 10.

You have to use this method for the rest of the triangles.

The hypotenuse of the triangles are solved

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides of the triangle are

a)

a = 8

b = 6

Now , From the Pythagoras Theorem , The hypotenuse² = base² + height²

c = √ ( 8 )² + ( 6 )²

c = √100 ≈ 10

b)

a = 11

b = 7

c = √170 ≈ 13.0

c)

a = 13

b = 6

c = √205 ≈ 14.3

Hence , the hypotenuse of the triangles are solved

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a cars value starts at $32,000. After 1 year, it is worth $27,200. What is the decay factor?

Answers

Answer:

15% × 7 = 1.05

32,000 - 1.05 = 31,998.95

31,998.95 ‐‐‐‐‐> 31,999

$31,999

(If you don't need to simplify, the answer would be $31,998.95, but I did it just incase you do)

Step-by-step explanation:

A quantity with an initial value of 6900 grows exponentially at a rate
of 40% every 8 hours. What is the value of the quantity after 2.75
days, to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

2.75 days * (24 hours)/day = 66 hours

6900(1.40)^(66/8) = 119,765.72

Answer:

110765.72

Step-by-step explanation:

A bucket holds 2 1/2 gallons of water. Ryan fills it 3 1/4 times with the water from a barrel. How much water was in the barrel?

Answers

Answer:

8 1/8 gallons

Step-by-step explanation:

2 1/2 = 5/2

3 1/4 = 13/4

(5/2)(13/4) = 65/8 = 8 1/8 gallons

Which of the following constants can be added to x ^2 - x to form a perfect square trinomial?
1/4
1/2
1

urgent

Answers

Answer:

Its 1/4 boys dont worry i got you

Step-by-step explanation:

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