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Find three consecutive integers such that one-third the sum of the largest and the smallest is equal to the middle integersfind three consecutive integers such that one-third the sum of the largest and the smallest is equal to the middle integers

Answers

  • Réponse publiée par: kurtiee

    1. 3n+3

    2. -4n-7

    3. 4n+2

    4. 8n-16

    Step-by-step explanation:

  • Réponse publiée par: aimeedelacruz24

    1. 7 and 2

    2.11 and 4

    3.4,5 and 6

    4.5,11 and 5

    5.The length is 12 and the width is 7

  • Réponse publiée par: elaineeee

    1. The integers are 35, 36 and 37

    2. The even integers are 8 and 10

    3. The number is 1

    Step-by-step explanation:

    1.)The sum of three consecutive integers is 108.Find the integers.

    Find: three consecutive integers

    Let,

    x = 1st#x + 1 = 2nd#x + 2 = 3rd#

    Equation:

    sum of three consecutive integers is 108

    Solve: for 1st# x

    x + x + 1 + x + 2 = 108

    3x + 3 = 108

    3x = 108 - 3

    3x = 105

    3x/3 = 105/3

    x = 35

    Solve for 2nd# x + 1

    x + 1 = 35 +1

    = 36

    Solve for 3rd# x + 2

    x + 2 = 35 + 2

    = 37

    Check:

    x + (x + 1) + (x + 2) = 108

    35 + 36 + 37 = 108

    108 = 108

    2.)Find two consecutive even integers such that if five times the first is equal to four times the second.

    Find: two consecutive even integers

    Let,

    x = 1st even integerx + 2 = 2nd even integers

    Equation:

    two consecutive even integers, if five times the first is equal to four times the second

    Solve for 1st even integer (x)

    5(x) = 4(x + 2)

    5x = 4x + 8

    5x - 4x = 8

    x = 8

    Solve for 2nd even integer

    x + 2 = 8 + 2

    = 10

    Check:

    if x = 8, x + 2 = 10

    5(x) = 4(x + 2)

    5(8) = 4(10)

    40 = 40

    3.)Four times a number increased by 8 is less than or equal is to 12

    Find: a number

    Let,

    x = the number

    Equation:

    four times a number -> 4xincreased by 8 -> +8is less than or equal to 12 -> < 12

    Solve:

    4x + 8 \leqslant 12 \\  \:  \:  \:  \:  \:  \:  \:  \:  4x \leqslant 12 - 8 \\  \:  \:  \:  \:  \:  \:  \:  \: 4x \leqslant 4 \\   \:  \:  \:  \:  \:  \:  \: \frac{4x}{4}  \leqslant  \frac{4}{4}  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x \leqslant 1

    check:

    if x = 1

    4(x) + 8 \leqslant 12 \\ 4(1) + 8 \leqslant 12 \\  \:  \:  \:  \:  \:  \: 4 + 8 \leqslant 12 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 12 \leqslant 12

  • Réponse publiée par: Rosalesdhan

    9 and 4

    14 and 16

    5 and 7

    I don't think number 11 is possible because if you add two odd numbers the sum should be even number

    9

    5

    9 and 11

    4, 5 and 6

    Step-by-step explanation:

    STAN S B 1 9

  • Réponse publiée par: RoseTheShadowHunter

    ano tanong?

    Step-by-step explanation:

    1 2 3= 6

    6+2= 8

    cube of 8 = 2

  • Réponse publiée par: pataojester10

    answer:

    1. Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108.

    2. Consecutive means an unbroken sequence or following continuously so that consecutive integers follow a sequence where each subsequent number is one more than the previous number. If x is an integer, then x + 1 and x + 2 are two consecutive integers.

    3. Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6=108.

    Report me if I'm wrong #CarryonLearning
  • Réponse publiée par: stacy05

    answer:

    hindi kopo alam yong sagut sorry

  • Réponse publiée par: trizianichole20

    No real answer.

    Step-by-step explanation:

    Let's assume the least of the numbers you need is n,

    The next number should be n + 1, the next after that is n + 2

    then we add the three to sum 130

    n + n + 1 + n + 2 = 130

    3n + 3= 130

    We subtract 3 both sides to isolate n

    3n = 130 - 3 = 127

    Divide both sides by 3 to get the actual value of n

    \frac{3n}{3} = \frac{127}{3} = 42.33

    Since 42.33 isn't an integer, there isn't really a real answer to this question

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Find three consecutive integers such that one-third the sum of the largest and the smallest is equal...