Andre is setting up rectangle tables for a party. He can fit 6 chairs around a single table. Andre lined up 10 tables end to end
and tries to fit 60 chairs around them, but he is surprised when he cannot fit them all. 1. write an equation for the relationship between the number of chairs c and the number of tables t a. the tables are apart from each other: b. the tables are placed end to end????? plz help I so stuck plzzzz
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Answer:
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
<u /><u />
<u />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Cross-multiply:
- Distribute 0.35:
- Multiply:
- Isolate <em>x</em> term:
- Isolate <em>x</em>:
- Rewrite:
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute:
- Multiply:
- Subtract:
- Evaluate:
Conditional statement is a statement with a hypotesis and a conclusion:
or mathematically .
Converse statement of is statement
.
If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse:
.
Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive:
.
Example:
1. Conditional statement: If I am sleeping, then I have closed eyes. (true)
2. Converse statement: If I have closed eyes, then I'm sleeping. (not necessarily true)
3. Inverse statement: If I'm not sleeping, then I haven't closed eyes. (not necessarily true)
4. Contrapositive statement: If I haven't closed eyes, then I'm not sleeping. (true)