Find two condecutive odd integers such that the smaller one is twelve more than one-third the larger

Answers

Answer 1

Answer: Let be x and x + 2 two consecutive odd integers;
You have the equation : x = 12 + ( x + 2 ) / 3 ;
(3x) / 3 = 36 / 3 + ( x + 2 ) / 3 ;
(3x) / 3 = ( 38 + x ) / 3 ;
3x = 38 + x ;
2x = 38 ;
x = 19 ;
The numbers are 19 and 21 .

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Which of these is a subset of rational number

Answers

Subsets of rational numbers are like whole numbers, integers, and fractions :) hope this helps

Subsets of rational numbers are like whole numbers, integers, and fractions i hope i am the brainliest i need it for the next rank

Pls help
Pls help
Pls gelp

Answers

Answer:

Step-by-step explanation:

A backyard pool has a concrete walkway around it that is 3 feet wide on all sides. The total area of the pool and the walkway is 950 ft2. If the length of the pool is 8 feet longer than the width, find the dimensions of the pool.

Answers

Answer:

$x \approx 21.080\,ft$ , $y = 29.080\,ft$

Step-by-step explanation:

The total area of the pool and the walkway is:

$(x + 6\,ft)\cdot (y + 6\,ft) = 950\,ft^(2)$

$(x + 6\,ft)\cdot (x + 14\,ft) = 950\,ft^(2)$

$x^(2) + 20\cdot x + 84\,ft^(2) = 950\,ft^(2)$

$x^(2) + 20\cdot x - 866\,ft^(2) = 0$

The roots of the second-order polynomial is:

$x_(1) \approx 21.080\,ft$ and $x_(2) \approx -41.081\,ft$

The only possible root is:

$x \approx 21.080\,ft$

The other dimension of the pool is:

$y = x + 8\,ft$

$y = 21.080\,ft + 8\,ft$

$y = 29.080\,ft$

What is the distance from (−3, 1) to (−1, 5)? Round your answer to the nearest hundredth.3.60
4.12
4.47
5.66

Answers

Answer: 4.47 is the correct one :)

Answer:

4.47

Step-by-step explanation:

took the test

What is the value of 7 to the fifth power? A. 35 B. 78,125 C. 2,401 D. 16,807

Answers

The answer is D equaling 16,807

D because all you really have to do is 7*7*7*7*7

One of the community service groups is going to plant a garden. 2/3 of the space will be used for vegetables. 1/4 of the vegetable space will be used for tomatos. what fraction of the garden will be used for tomatoes? draw a picture below.

Answers

Answer:

1/6 of the vegetables space will be used for the tomatoes

Answer:

1/12 of the Garden

Step-by-step explanation:

When adding fractions, the denominators need to be the exact same number. Therefore, you need to find the LCM. The LCM of 3 and 4 is 12, so all the denominators will be 12.

2/3 * 4/4 = 8/12

1/4 * 3/3 = 3/12

8/12 + 3/12 = 11/12

Now you need to subtract it from 1 (the garden).

12/12 - 11/12 = 1/12

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