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Alex73 [517]
3 years ago
8

The sum of 5 consecutive odd integers is 2,555. What is the sum of the first, third, and last integer?

Mathematics
1 answer:
Lilit [14]3 years ago
8 0

Answer:

The sum of the first, third, and last integer is 1533.

Step-by-step explanation:

<u><em>Step 1: You need to create a equation first:</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8 = 2555

<u><em>How did I make the equation?</em></u>

If n is odd number, n + 2 must be the consecutive odd number

5 , 5 + 2 , 5 + 4 , 5 + 6 , 5 + 8

5, 7, 9, 11, 13  ALL CONSECUTIVE ODD NUMBERS

<u><em>Step 2: Simplifying the equation</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8 = 2555

5n + 20 = 2555

<u><em>Step 3: Solving the equation, with explanation</em></u>

5n + 20 = 2555       Subtract 20 on both sides

        5n = 2535        Isolate the variable by dividing 5 on both sides

          n = 507

<u><em></em></u>

<u><em>Step 4: Plug in the value</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8

507,  507 + 2 , 507 + 4 , 507 + 6 , 507 + 8

507, 509, 511, 513, 515

<u><em>Step 5:  Solve the sum of the first, third, and last integer</em></u>

507 + 511 + 515 = 1533

<u><em>Step 6: THE ANSWER</em></u>

1533

<h3><u><em>Hope this helps!!! </em></u></h3><h3><u><em>Please mark this as brainliest!!! </em></u></h3><h3><u><em>Thank You!!! </em></u></h3><h3><u><em>:)</em></u></h3>
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I = -425x^2 + 45500x - 650000
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3 years ago
Can someone solve m - 4m= -6 step by step please?
marta [7]

Answer:

m = 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

m - 4m = -6

<u>Step 2: Solve for </u><em><u>m</u></em>

  1. Combine like terms:                    -3m = -6
  2. Divide -3 on both sides:              m = 2

<u>Step 3: Check</u>

<em>Plug in m into the original equation to verify it's a solution.</em>

  1. Substitute in <em>m</em>:                     2 - 4(2) = -6
  2. Multiply:                                 2 - 8 = -6
  3. Subtract:                                -6 = -6

Here we see that -6 does indeed equal -6.

∴ m = 2 is the solution to the equation.

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3 years ago
MIDDLE SCHOOL MATH BRAINLEIST AND 5 STARS AS SOON AS YOU ANSWER!!!!!!!! PLEASE HELP AND THANKS SO MUCH IM SUPER GRATEFUL!!!!!!!!
antoniya [11.8K]

Answer:

1.76

Step-by-step explanation:

The formula is l x w x h

2 x 2.2 x 0.2 = 0.88

The prisms are the same so

0.88 + 0.88 = 1.76

7 0
3 years ago
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