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2 years ago

A rectangular park had a perimeter of 18 miles. It is 7 miles wide. What is the area of the park?

1 answer:

7 0

Perimeter = 18 miles
Perimeter = 2a + 2b
2a + 2b = 18

a = ?
b = 7

18 = 2a + 2*7
18 = 2a + 14
2a = 18 - 14
2a = 4
a = 2

Area = a * b
Area = 2 * 7 = 14 miles2

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The product of 3 consecutive odd numbers is 3,315. Enter a simplified expression for finding the numbers. Let n be the first odd

grin007 [14]

Answer:

$n^3+6n^2+8n=3315$

Step-by-step explanation:

Let n be the first odd number.

The 2nd consecutive odd number would be $n+2$ and 3rd consecutive odd number would be $n+2+2=n+4$ .

We have been given that the product of 3 consecutive odd numbers is 3,315. The product of 3 consecutive odd numbers would be $n(n+2)(n+4)$ .

Now we will equate the product with 3315 as:

$n(n+2)(n+4)=3315$

Let us simplify the left side of equation.

$(n\cdot n+n\cdot 2)(n+4)=3315$

$(n^2+2n)(n+4)=3315$

Now, we will apply FOIL to find the product of left side as:

$n^2\cdot n+n^2\cdot 4+2n\cdot n+2n\cdot4=3315$

$n^3+4n^2+2n^2+8n=3315$

$n^3+6n^2+8n=3315$

Therefore, our required equation would be $n^3+6n^2+8n=3315$ .

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Answer:

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