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prohojiy [21]
3 years ago
6

What is the answer to this equation t+t+t=12

Mathematics
1 answer:
OLEGan [10]3 years ago
3 0

Answer:

t = 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

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

t + t + t = 12

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

  1. Combine like terms (t):                    3t = 12
  2. Divide 3 on both sides:                   t = 4

<u>Step 3: Check</u>

<em>Plug in t into the original equation to verify it's a solution.</em>

  1. Substitute in <em>t</em>:                    4 + 4 + 4 = 12
  2. Add:                                    8 + 4 = 12
  3. Add:                                    12 = 12

Here we see that 12 does indeed equal 12.

∴ t = 4 is a solution of the equation.

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Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation c
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Answer:

c + h = 5 and

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Step-by-step explanation:

Assume that Mike bought only cookies and hot dogs.

The total can be represented as:

Cookies + Hot\ Dogs = 5 --- (1)

And the amount spent can be represented as:

Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55 --- (2)

Required

Determine the system of equation

Let c represents the number of cookies and h, number of hot dogs.

Cookies + Hot\ Dogs = 5 implies c + h = 5

And

Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55

Cost of cookies = 0.75 * c

Cost of hot dogs = 1.10 * h

So, we have:

0.75c + 1.10h = 4.55

Hence, the equations are:

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0.75c + 1.10h = 4.55

Solving for c and h

Make c the subject in c + h = 5

c = 5 - h

Substitute 5 - h for c in 0.75c + 1.10h = 4.55

0.75(5- h) + 1.10h = 4.55

3.75- 0.75h + 1.10h = 4.55

3.75 +0.35h = 4.55

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0.35h = 4.55 - 3.75

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Recall that:

c = 5 - h

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