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Andrew [12]
4 years ago
10

Dan bought a new house with a backyard whose dimensions are 21.8 by 12 feet. The backyard has a triangular garden with an area o

f 34.56 square feet. Dan wants to cover the backyard with seeds so that the grass will grow. If he does not need to cover the garden, how many bags of seed must he purchase to cover the rest of the backyard if one bag covers 16 square feet?
Mathematics
1 answer:
Hoochie [10]4 years ago
7 0
Well first, let's find the total area of the back yard.  Given the dimensions, we can assume the yard is rectangular.
Area = 21.8(12) = 261.6ft²

Now we can find the area that will need to be seeded by subtracting the area of the garden from the total area:
261.6 - 34.56 = 227.04ft²

Finally, we can divide this area by 16ft² to find the number of bags of seed we will need.  
227.04 ÷ 16 = 14.19 bags  or little more than 14 bags.. Looks like we better buy 15 bags of grass seed to do the job..
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SHOW ALL WORK PLEASE
Ainat [17]

Answer:

1. 14%

2. 98%

3. 52%

4. 13%

5. 39%

6. 28%

7. 20%

8. 37%

9. 17%

10. 19%

Step-by-step explanation:

To get a percentage divide the small number by the big number and then multiply by 100.

1. 28/200 = 0.14 * 100 = 14

2. 931/950 = 0.98 * 100 = 98

3. 364/700 = 0.52 * 100 = 52

4. 13/100 = 0.13 * 100 = 13

5. 273/700 = 0.39 * 100 = 39

6. 161/575 = 0.28 *100 = 28

7. 200/1000 = 0.2 * 100 = 20

8. 68/400 = 0.37 * 100 = 37

9. 68/400 = 0.17 * 100 = 17

10. 95/500 = 0.19 * 100 = 19

5 0
3 years ago
Find four consecutive even integers such that seven times the first exceeds their sum by 18.
Ganezh [65]

Answer:

10, 12, 14, 16

Step-by-step explanation:

Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.

Lets assume the first number be "x".

As it is even integers

∴ Second consecutive number will be (x+2)

  Third consecutive number will be (x+4)

  Fourth consecutive number will be (x+6)

Now, as given seven times the first exceeds their sum by 18.

∴ [x+(x+2)+(x+4)+(x+6)]+18 = 7x

solving the equation to find the number.

⇒ [x+(x+2)+(x+4)+(x+6)]+18 = 7x

Opening parenthesis

x+x+2+x+4+x+6+18 = 7x

⇒ 4x+30= 7x

subtracting both side by 4x

⇒ 30= 3x

Dividing both side by 3

∴ x= 10.

Hence, subtituting the value x to find four consecutive even integers.

  First number is 10

  Second consecutive number will be (10+2) = 12

  Third consecutive number will be (10+4)= 14

  Fourth consecutive number will be (10+6) = 16

∴ Four consecutive even integers are 10,12,14,16.

8 0
3 years ago
What are the Factors if 63
Pie

Step-by-step explanation:

63 is a composite number. 63 = 1 x 63, 3 x 21, or 7 x 9. Factors of 63: 1, 3, 7, 9, 21, 63. Prime factorization: 63 = 3 x 3 x 7, which can also be written 63 = 3² x 7.

5 0
4 years ago
Find the length of a rectangle given that the perimeter is 192 feet and the length is 3 times the width.
djyliett [7]

Answer:

The length is 72 feet.

Step-by-step explanation:

<em>Equations</em>

2L+2W=192

L=3W

<em>Solving/Substitution</em>

2(3W)+2W=192

8W=192

W=192/8=24

L=24*3=72

The length is 72 feet.

The width is 24 feet.

<em />

6 0
3 years ago
The manager of a night club in boston stated that 95% of the customers are between the ages of 21 and 27 years. if the age of cu
11111nata11111 [884]
95% of a normal distribution lies within ±1.96 standard deviations of the mean. That is, ±3 years represents ±1.96 standard deviations, so ...
.. the standard deviation is 3/1.96 = 1.53 years.
5 0
3 years ago
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