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3 years ago

The sum of 5 consecutive integers is 505. what is the third number in this sequence?

2 answers:

8 0

Answer
101

Explanation
Let the first term of the sequence to be a.

1st term = a
2nd term = a+1
3rd term = a+2
4th term = a+3
5th term =a+4

a+(a+1)+(a+2)+(a+3)+(a+4)=505
5a+10=505
5a=505-10
5a=495
a=99

3rd term = a+2
=99+2
= 101

frosja888 [35]3 years ago

6 0

The 5 consecutive numbers are 99,100,101,102 and 103.
Therefore 101 is the third consecutive number.

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Answer:

(b) 10.5 in

Step-by-step explanation:

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Then the height is ...

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2 years ago

What is the following product?

devlian [24]

Answer: Last Option

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Step-by-step explanation:

To make the product of these expressions you must use the property of multiplication of roots:

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we also know that:

$\sqrt[3]{x^3} = x$

$\sqrt[3]{16x^7}*\sqrt[3]{12x^9}\\\\\sqrt[3]{16x^3x^3x}*\sqrt[3]{12(x^3)^3}\\\\x^2\sqrt[3]{16x}*x^3\sqrt[3]{12}\\\\x^5\sqrt[3]{16x*12}\\\\x^5\sqrt[3]{2^4x*2^2*3}\\\\x^5\sqrt[3]{2^6x*3}\\\\4x^5\sqrt[3]{3x}$

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3 years ago

The cost of renting a fishing boat is $25 per hour for the first 7 hours, $10 per hour for the next 10 hours, and $5 per hour fo

yKpoI14uk [10]

Answer: $340

Step-by-step explanation:

To identify the cost of renting the boat for 30 hours, breakdown the 30hours into specific renting hours

i.e 30 hours = (7 hours + 10 hours + 13 hours)

Then calculate each of the renting cost based on the hour breakdown given above

- Since the Cost of renting a fishing boat is $25 per hour for the first 7 hours, then (25 x 7 hours = $175)

- For the $10 per hour for the next 10 hours, then (10 x 10 hours = $100)

- and for $5 per hour for any additional hours. (5 x 13 additional hours = $65)

Now, sum up all of the cost of the hourly breakdown

i.e 30 hours = (7 hours + 10 hours + 13 hours)

= $175 + $100 + $65

= $340

Thus, the cost of renting the boat for 30 hours is $340

5 0

3 years ago

Read 2 more answers

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Eva8 [605]

Answer:

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3 0

3 years ago

Find the circumference and area of a circle with a radius of 3

viktelen [127]

Answer:

circumference is 18.84

area is 28.26

Step-by-step explanation:

circumference of a circle is

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area of a circle is πr²

= 3×3×3.14

= 28.26

use π = 3.14

8 0

3 years ago