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erik [133]
3 years ago
9

Find three consecutive odd integers such that

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
7 0

Answer:

17, 19, 21

Step-by-step explanation:

x = first number

x+2 = second number

x+4 = third number

4x + 3(x+2) + 2(x+4) = 167

simplify:

4x + 3x + 6 + 2x + 8 = 167

combine like terms:

9x + 14 = 167

subtract 14 from each side of the equation:

9x = 153

divide both sides by 9:

x = 17

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A stairway rises 6 feet 4 inches over a horizontal distance of 8 feet 6 inches. What is the diagonal length of the stairway
natali 33 [55]

Answer:

10.6 ft

Step-by-step explanation:

to find the diagonal length of the stairway we can use the pythagorean theorem or a^2 + b^2 = c^2

6'4" is also 6 1/3' or 19/3'

8'6" is also 8 1/2' or 17/2'

now square them both

361/9 + 289/4

make them have the same denominator

1444/36 + 2601/36

add them

4045/36

take the square root

10.6000524 is your answer

10.6 ft

7 0
2 years ago
Which expression is equivalent to the following expression? 10x + 3(8 - 7x)
Paladinen [302]
It is -11x + 24 because you multiply the numbers in the parentheses by 3 then collect like terms 10x +24 - 21x then you do 10x minus 24x and you get -11x+24
7 0
3 years ago
Which expressions are equivalent to 4b
Lena [83]

c and b are your answers

8 0
3 years ago
Read 2 more answers
Vertex of y=2x^2+4x-6
borishaifa [10]

Answer:

(-4) (0)

Step-by-step explanation:

6 0
3 years ago
Justin took a quiz with five multiple choice (A-D) and five true/false questions. How many different ways can he answer the ques
ankoles [38]

Answer:

32,768 ways

Step-by-step explanation:

True/ false questions = 5 ; number of options = 2 (True or false)

Ways of answering = 2^5 = (2 * 2 * 2 * 2 * 2) = 32

Number of Multiple choice questions = 5

Number of options (A - D) = 4 options

Ways of answering = 4^5 = (4 * 4 * 4 * 4 * 4) = 1024

32 * 1024 = 32,768 ways

4 0
3 years ago
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