3t + 7 = 2 +5t , then find the value of t.
2 answers:
Answer:
t = 5/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
3t + 7 = 2 + 5t
<u>Step 2: Solve for </u><u><em>t</em></u>
- [Subtraction Property of Equality] Isolate <em>t</em> terms: 7 = 2 + 2t
- [Subtraction Property of Equality] Isolate <em>t</em> term: 5 = 2t
- [Division Property of Equality] Isolate <em>t</em>: 5/2 = t
- Rewrite: t = 5/2
Answer:
<h2>t = ⁵⁄₂ or 2.5</h2>
Explanation:
3t + 7 = 2 + 5t
- <em>Simplify both sides of the equation</em>
3t + 7 = 5t + 2
- <em>Subtract 5t from both sides</em>
3t + 7 − 5t = 5t + 2 − 5t
−2t + 7 = 2
- <em>Subtract 7 from both sides</em>
−2t + 7 − 7 = 2 − 7
−2t = −5
<em>Divide both sides by -2</em>
−2t / -2 = −5 / -2
t = ⁵⁄₂
- <em>Turn the fraction into a decimal</em>
t = 2.5
t = ⁵⁄₂ or 2.5
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Adults = 9
Children = 2
Let x be the number of adults.
11-x is the number of children.
22x + 15(11-x) = 228
22x + 165 - 15x = 228
22x - 15x = 228 - 165
7x = 63
7x / 7 = 63 / 7
x = 9 number of adults.
11 - x = 11 - 9 = 2 number of children.
To check:
22x + 15(11-x) = 228
22(9) + 15(11-9) = 228
198 + 30 = 228
228 = 228
(not my answer btw)
=1001.5
Go .5 below and .5 above this answer to get your consecutive integers.
Therefore the answer is 1001 and 1002.
