The answer is 160
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Answer:
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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:
A: 
B: 
Step-by-step explanation:
<u>A:</u>
Our expression is
. We need to find some common factors. Clearly, we can see that both terms share the x² part, so we can definitely take that out:


Let's see if 96 is divisible by 6:
96 ÷ 6 = 16; since there's no remainder / the remainder is 0, we know 96 is divisible by 6, so we can also factor out 6:


Thus, the answer to part A is
.
<u>B:</u>
Look at the
part of the above factored expression. Notice that it is a difference of squares (because
and 16 = 4²), so we can write this as:


Now take a look at the
part. Again, it's a difference of squares because
and 4 = 2², so rewrite that as:


Put it all together:

Thus, the answer to part B is
.