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7nadin3 [17]
3 years ago
13

the sum of 3 consecutive integers is 29 less than 5 times the smallest number. find the three numbers

Mathematics
1 answer:
allochka39001 [22]3 years ago
6 0

x + x + 1 + x + 2 = 5x - 29

Combine like terms.

3x + 3 = 5x - 29

Subtract 3x from both sides.

3 = 2x - 29

Add 29 to both sides.

32 = 2x

Divide both sides by 2.

16 = x

<h3>The first digit is 16.</h3><h3>The second digit is 17.</h3><h3>The third digit is 18.</h3>
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Step-by-step explanation:

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2 years ago
Select the correct answer.
Liono4ka [1.6K]

Answer:

Option C.

Step-by-step explanation:

It is given that,

Total number of applicants = 9

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We need to select 3 applicants out of 9. So, the required number of ways is

^9P_3=\dfrac{9!}{(9-3)!}

^9P_3=\dfrac{9\times 8\times 7\times 6!}{6!}

^9P_3=9\times 8\times 7

^9P_3=504

Therefore, there are ^9P_3=504 ways the positions can be filled because the order in which the applicants are chosen matters.

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3 years ago
The net of the right circular cylinder shown is made of
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So

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Option D

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2 years ago
Please help me this is a Math 3 post test really important last day of the quarter
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7 0
3 years ago
Help I need it now!!<br> T14= 46, and t20= 100, find t3, t7, and tn
Vinil7 [7]

Answer:

t_3 = -53\\\\\\t_7 = -17\\t_n= -80 +9n

Step-by-step explanation:

Arithmetic sequence:

       \sf \boxed{t_n=a+(n-1)d}

Here a is the first term and d is the common difference.

      t_{14}= 6    ⇒  \sf a + 13 d = 46  ------------(I)

     \sf t_{20} = 100 ⇒   a + 19d = 100 ---------(II)

Subtract equation (I) from (II)

(I1)    a + 19d = 100

(II)    a + 13d   =  46

      <u>-    -            -</u>

               6d = 54

                d = 54 ÷ 6

                 \sf \boxed{d = 9}

Substitute d = 9 in equation(I) and find 'a',

    a + 13*9= 46

     a + 117  = 46

              a = 46 - 117

              a = -71

         

\sf t_3 = -71 + 2*9

   = -71 + 18

   = -53

          \sf t_7 = -71 + 6*9

              = -71 + 54

              = -17

\sf t_n= -71 + (n-1)*9

    = -71 + 9*n - 1 *9

    = -71 + 9n - 9

    = -71 - 9 + 9n

     = - 80 + 9n

   

   

5 0
1 year ago
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