One container of fertilizer covers 900 square feet. A property has a rectangular backyard that is 30 feet long and 20
feet wide. The front yard is triangular with a base of 24 feet and a height of 12 feet. What percentage of the container
will be used on the property? Round to the nearest percentage.

Answers

Answer 1

Answer:

82.67% of the fertilizer will be used on the property.

Step-by-step explanation:

Area of Plane Figures

The backyard described in the problem has two parts: One with a rectangular shape of 30 feet by 20 feet. The other with a triangular shape with a base of 24 feet and a height of 12 feet.

The area of a rectangle is calculated by:

[tex]A_r=L*W[/tex]

And the area of a triangle is:

[tex]\displaystyle A_t=\frac{B*H}{2}[/tex]

All the backyard will be covered by fertilizer coming from a container with a capacity of 900 square feet.

The total area of the backyard is the sum of the area of the rectangle Ar and the area of the triangle At as follows:

[tex]A_r=30*20=600\ ft^2[/tex]

[tex]\displaystyle A_t=\frac{24*12}{2}=144\ ft^2[/tex]

The total area of the backyard is:

[tex]A=600\ ft^2+144\ ft^2=744\ ft^2[/tex]

To find the percentage of the container, we calculate:

[tex]\displaystyle \frac{744}{900}*100\%=82.67\%[/tex]

82.67% of the fertilizer will be used on the property.


Related Questions

Select all pairs of vertical angles in the following image.

Answers

The vertical angles are:

4 & 2

1 & 3

I don’t understand this .

Answers

Answer:

C

Step-by-step explanation:

I need help .. ASAP .

Answers

Answer:

x = 12 degrees

Step-by-step explanation:

(9x-4)+(6x+4)=180                 Linear Pair Theorem

15x=180                                  Simplified

180/15 = x                               Division Property of Equality

x = 12 degrees                       Simplified

Hope this helped! ;)

A recycling center was offering cash for different types of recyclables. For each pound of copper they paid $1.48, for each pound of aluminum they paid $1.55, and for each pound of plastic they paid $0.30. Jesse took in 50 pounds of copper, 15 pounds of aluminum and 10 pounds of plastic. How much money was he paid for his recyclables?

Answers

Answer:

100.25

Step-by-step explanation:

You multiply the amount the copper cost by however many pounds of it he brought in you do this to the others as well but of course theres different numbers for example it would be like this.

Copper=1.48x50=$74.00

Aluminum=1.55x15=$23.25

Plastic=0.30x10=$3.00

Then add those numbers together to get the amount of money he made off of his recyclables. Which the number you would get is 100.25 Hope this helps!!

Answer:

100.25

Step-by-step explanation:

You multiply the amount the copper cost by however many pounds of it he brought in you do this to the others as well but of course theres different numbers for example it would be like this.

Copper=1.48x50=$74.00

Aluminum=1.55x15=$23.25

Plastic=0.30x10=$3.00

Then add those numbers together to get the amount of money he made off of his recyclables. Which the number you would get is 100.25 Hope this helps!!

solve for x 5x-4_>12 and 12x+5<_-4

Answers

Answer:fgh

Step-by-step explanation:

which sentence describes is mistake pls answer?!?!?

Answers

Answer:

I think the answer is B

Step-by-step explanation:

he would need to factor 4x² in order to get his answer not just 4x

The sum of a number and 3 is 8

Answers

Answer:

5

Step-by-step explanation:

Scientists sprayed a cold virus in the noses of 153 people. After five days, 135 people became infected with the cold virus. What percentage of the people became infected? Round to the nearest percent.
PLS I NEED HELP II WILL MARK BRAINLIST Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A48%
B92%
C88%
D73%

Answers

Answer:

88% of people were infected by the cold virus

Step-by-step explanation:

153/135 multiplied by 100 will give the answer to be 88.235%. round to nearest percent is 88%

Dave buys a baseball for $15 plus an 8% tax. Mel buys a football for $20 plus an 8% tax. What is the difference in the amount Dave and Mel paid, including tax? Round your answer to the nearest cent.

Answers

Answer:  $5.40

Step-by-step explanation:

First we will find the tax amount for Dave by multiplying 8% by 15.

8% * 15 =  1.2  

Now add it to the original price of the baseball which is 15.

15 + 1.2= 16.20  This means Dave paid $16.20 in total.

Now find the tax amount for Mel.

20 * 8% = 1.6  

Add 1.6 to the original price which is $20.

1.6 + 20 = 21.60    

Mel also paid $21.60 in total.

To find the difference  we need to subtract the lowest amount from the highest amount.

21.60 - 16.20 = 5.40

at school 2 out of every 5 student in the 6th grade are members of the band. What will be the ratio of the number of 6th graders that are not members of the band

Answers

Answer:

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

Select the correct answer. What is the product of and ? A. 9/5 B. 2 C.175/30 D/29

Answers

Step-by-step explanation:

the answer is c i took the test btw

What is the product of -3 1/3 and -8 7/10

C.175/30

what is 8.341 x 10 to the 5th power​

Answers

Answer:

834100

Step-by-step explanation:

1. Move the decimal FIVE times to the right

8.341 ----> 834100.

2. Solution

834100

Which of the following equations is true? 42=14−2 42=−4−2 42−4−2= −1 42+4−2= 0

Answers

Answer:

b. your welcome

Converting 14 in to centimeters

Answers

Answer:

35.56

Step-by-step explanation:

multiply the length value by 2.54

Answer:

35.56 cm.

Step-by-step explanation:

multiply the length value (the number) by 2.54

Parallelogram JKLM has angle measures J(2 x +9) and M(6 x -1) determine the measure of angle k

Answers

Answer:

Step-by-step explanation:

The sum of opposite angle and sides of a parallelogram is 180 . If a parallelogram JKLM has angle measures J(2 x +9) and M(6 x -1), then <J + < M = 180

Substitute:

2 x +9+6x-1 = 180

collect like terms;

2x+6x+9-1 = 180

8x+8 = 180

8x = 180-8

8x = 172

x = 172/8

x = 21.8°

For the shape to be a quadrilateral, then the measure of angle k must 128 degrees

For quadrilateral PQRS to be an actual quadrilateral, then:

[tex]K = M[/tex] --- opposite angles of quadrilateral[tex]J + M= 180[/tex] --- adjacent angles of quadrilateral

[tex]J + M = 180[/tex] implies that:

[tex]2x + 9 + 6x -1 = 180[/tex]

Collect like terms

[tex]2x + 6x = 180 -9 +1[/tex]

[tex]8x = 172[/tex]

Divide both sides by 8

[tex]x = 21.5[/tex]

We have:

[tex]K = M[/tex]

This becomes

[tex]K = 6x -1[/tex]

Substitute 21.5 for x

[tex]K = 6\times 21.5 -1[/tex]

[tex]K = 129 -1[/tex]

Subtract 1 from 129

[tex]K = 128[/tex]

Hence, the measure of angle K must be 128 degrees

Read more about quadrilaterals at:

https://brainly.com/question/25696839

10 POINTS
Find the area of each circle. Round to the nearest tenth.

Answers

Answer:

were ate circles I'm suppose to use

Step-by-step explanation:

where is the circles

Solve for y
5/8y = -1

Answers

Answer:

y = -8/5

Step-by-step explanation:

Step 1: Write equation

5/8y = -1

Step 2: Solve for y

Divide both sides by 5/8: y = -8/5

Step 3: Check

Plug in y to verify it's a solution.

Substitute: 5/8(-8/5) = -1Multiply: -40/40 = -1Divide: -1 = -1

Determine the length of x and y. Round your answer to the nearest tenth, if necessary.

X =

Y =

Answers

X=EF Y=DF thats what i think it is

If a quadratic function has the rule
f(x) = (x – h)? + k,

what will cause a horizontal translation?
A, changing the value of h
B, changing the value of k​

Answers

A. changing the value of h

A. Changing the value of h will cause horizontal translation.

What is transformation ?

Transformations are of many types like translation, rotation, reflection and dilation.These transformations are of two types rigid transformation where the shape and size of image and pre image remains same and another one is non-rigid transformation in which size changes but shape of doesn't change.

We know that a quadratic function can be represented by a 2D co ordinate which has x axis and y axis.

Given a function f(X) = ( x - h) + k will cause horizontal transformation of h units to the left.

learn more about transformation here :

https://brainly.com/question/11709244

#SPJ2

What is answer to 3 divided by eleven twelveths

Answers

Answer:

Step-by-step explanation:

The answer is 3.27

8x + 4y= 12
2x+ y= 3

Answers

are you suppose to find x or y? or both?

X + 7y = 49
Enter your answer a

Enter your answer as a order pair

Answers

Answer:

x-intercept(s):  ( 49 , 0 )

y-intercept(s):  ( 0 , 7 )

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y .

the estimated world population in 2011 was 7 x 10^9. Of the total population, 682 million of those people were left handed. Approximately what percentage of the world population is left handed according to the 2011 estimation

Answers

Answer:

9.74%

Step-by-step explanation:

Total population

7 × 10^9

Let handed population

682 000000

Percentage of left handed population

100%×682000000 / (7×10^9) =6.82×10^10/ (7 × 10^9) % =68.2/7 % = 9.74%

Answer:

9.7 %

Step-by-step explanation:

estimated world population in 2011 = 7x10⁹

left handed = 682,000,000

find:

Approximately what percentage of the world population is left handed according to the 2011 estimation

percentage = left handed population

                            total population

                    =       682,000,000  

                           7,000,000,000

                    =     0.682

                            7.0

                    =  9.7 %

8x^2 - 48x = -104. Write the equation so that a = 1: x^2 + _____ x = _____

Answers

Answer:

4 x = 6

Step-by-step explanation:

4x = - 6

51.7 is 400% of what number​

Answers

Answer:

51.7 / 4 = 12.925

Step-by-step explanation:

In an hour, the pastry-cook made of one order.
How many orders does he make in 3 hours?​

Answers

Answer:

3?

Step-by-step explanation:

It would be 3 since he took 1 hour in one order it would take another 3 hours to complete 3 other orders. Sorry if I'm wrong. :)

If y= 4.8 when x= 2.4, what is y when x = 2.05?

Answers

Answer:

4.1

Step-by-step explanation:

The art club had an election to select a president. 80 out of the 100 members of the art club voted in the election. What percentage of the members voted?

Answers

Answer: 80% of the members voted

Archie is taking a course in probability theory. Discussion sessions with the class TA (teaching assistant) conflict with Archie's trips to the beach. Archie has to decide between attending TA sessions, which might help him do better in the probability course, and going to the beach.
Archie learns that 93% of past students who did not attend TA sessions received a grade of B or below in the course. Archie also learns that 11% of past students received a grade higher than B. After some thought, Archie decides to attend the TA sessions. Not all of his classmates share his decision; in fact, only 4 out of every 18 of his classmates attend discussion sessions with the TA. Compute the probability that Archie will receive a grade higher than a B in the course.

Answers

Answer:

The probability that Archie will receive a grade higher than a B in the course is 0.2164.

Step-by-step explanation:

We are given that Archie learns that 93% of past students who did not attend TA sessions received a grade of B or below in the course. Archie also learns that 11% of past students received a grade higher than B.

Let B = event that the student received a grade higher than B.

and T = event that the student discussion sessions with the TA.

So, P(B) = 0.11 and P(T) = [tex]\frac{4}{18}[/tex] = 0.22

Also, the probability that the students who did not attend TA sessions received a grade of B or below in the course = P(B'/T') = P(not B/not T) = 0.92

Now, we have to find the probability that Archie will receive a grade higher than a B in the course given he attended the discussion sessions with the TA = P(B/T)

As we know that the conditional probability formula is given by;

                           P(B/T) = [tex]\frac{\text{P}(\text{B} \bigcap \text{T})}{\text{P(T)}}[/tex]

Now, as it is given that P(not B/not T) = 0.92

So, [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{\text{P(not T)}} =0.92[/tex]

      [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{1 - \text{P(T)}} =0.92[/tex]

      [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{1 - 0.22}} =0.92[/tex]

[tex]{\text{P}(\text{not B} \bigcap \text{not T})} =0.92\times 0.78[/tex]

[tex]{\text{P}(\text{not B} \bigcap \text{not T})}[/tex] = 0.7176

Also, [tex]{\text{P}(\text{ B} \bigcup \text{ T})}= 1 - {\text{P}(\text{not B} \bigcap \text{not T})}[/tex]

[tex]{\text{P}(\text{ B} \bigcup \text{ T})}[/tex] = 1 - 0.7176 = 0.2824  

Now, the formula for [tex]{\text{P}(\text{ B} \bigcup \text{ T})}[/tex] is given by;

[tex]{\text{P}(\text{ B} \bigcup \text{ T})} = \text{P(B)} + \text{P(T)} - {\text{P}(\text{ B} \bigcap \text{ T})}[/tex]

0.2824 = 0.11 + 0.22 - [tex]\text{P(B} \bigcap \text{T})[/tex]

[tex]\text{P(B} \bigcap \text{T})[/tex] = 0.33 - 0.2824 = 0.0476

Now, the required probability P(B/T) = [tex]\frac{\text{P}(\text{B} \bigcap \text{T})}{\text{P(T)}}[/tex]

                                                         = [tex]\frac{0.0476}{0.22}[/tex] = 0.2164

Hence, the probability that Archie will receive a grade higher than a B in the course is 0.2164.

2x-y+7whenx= -5andy-2.

Answers

Answer:

-1

Step-by-step explanation:

2x-y+7

Let x = -5 and y = -2

2(-5) -(-2) +7

-10 +2 +7

-10 +9

-1

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