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natita [175]
2 years ago
8

Mrs. washington has a small fenced-in, rectangular play area behind her house for her dog. there is 80 feet of fencing around th

e perimeter of the play area, and the width is 14.8 feet. mrs. washington needs to buy new sod to cover the entire area of play space. if sod costs $1.50 per square foot, how much will it cost mrs. washington to buy enough sod for the entire play area?
Mathematics
1 answer:
Alla [95]2 years ago
6 0

Answer:

$1118.88

Step-by-step explanation:

Lets start by finding all sides of the perimeter to get an accurate measure of the area.

We know the width is 14.8 feet, that means the opposite side also equals 14.8 feet.

Now the other two sides must sum to 50.4 (80-(14.8*2)) and be equal, so we can divide 50.4 by two to get 25.2 for the other two sides.

Now we can calculate area by multiplying one from each side:

14.8*50.4=745.92

Now to find the price of required sod, multiply the area by cost per square foot

745.92*1.50=1118.88

Therefore it will cost 1118.88 dollars to cover the entire area in sod.

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Nataly_w [17]

Answer:

  • aₙ = 2n² + n + 1

Step-by-step explanation:

We observe that the difference of terms is 4, 7 and 15 and next level difference is 4. It means the sequence is quadratic.

<u>We can compare this with simple quadratic sequence </u>

  • 1, 4, 9, 16

<u>and find out that doubling each term gives us </u>

  • 2, 8, 18, 32

This is close to our sequence, write the terms as follows to find exact rule

<u>The first term: </u>

  • a₁ = 4  = 2*1² + 2 = 2*1² + 1 + 1

<u>The second term</u>

  • a₂ = 11  = 2*2² + 3 = 2*2² + 2 + 1

<u>The third term:</u>

  • a₃ = 22 = 2*3² + 4 = 2*3² + 3 + 1

<u>The fourth term:</u>

  • a₄ = 37 = 2*4² + 5 = 2*4² + 4 + 1

<u>The nth term as per observation above is:</u>

  • aₙ = 2n² + n + 1
8 0
3 years ago
What is 235 divided by 5?
Alex Ar [27]
The answer to this question is: 47
4 0
3 years ago
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Cara has $25 to buy dry pet food a pound of dog food costs $2 and treats are $1 apiece if she buys 9 pounds of food the greatest
zzz [600]

Cost of each pound of dog food = $2 .

Total cost of 9 pounds of dog food = 9 * 2 = $18.

Let us assume number of treats she can buy = t.

Cost of each treat = $1.

Cost of t number of treats = 1*t = 1t .

Total money Cara has = $25.

We can setup an inequality as,

Total cost of dog food + total cost of t number of treats ≤ 25.

18 + 1t ≤ 25.

Subtracting 18 from both sides, we get

18 + 1t -18  ≤ 25-18.

1t ≤ 7 or t ≤ 7.

So, she can purchase 7 or less treats.

5 0
3 years ago
What is 20 increased 30%.
Reptile [31]
<span>When 20 is increased by 30% of itself 

</span><span>When 20 is added to by (30% OF 20)
</span><span>
20 + (30% x 20)

</span><span>20 + (0.3 x 20) 
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20 + (6) 

</span>26
5 0
3 years ago
Liam has a bag that contains pineapple chews, cherry chews, and lime chews. He
dsp73

The probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

We have:

Liam performs the experiment 62 times

Total number of outcomes = 62

A pineapple chew was selected 58 times.

A cherry chew was selected 2 times.

A lime chew was selected 2 times.

Now, the probability that the next chew Liam removes from the bag will be cherry chew:

P = 2/62

P = 1/31

P = 0.0322  or 0.03

Thus, the probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.

Learn more about the probability here:

brainly.com/question/11234923

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5 0
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