If they are equal, write "equal". $$ \begin{array}{r}\text { Standard Units of Weight } \ 1 \text { pound (lb) }=16 \text { ounces (oz) } \ 1 \text { ton }(\mathrm{T})=2,000 \text { pounds (lbs) }\end{array} $$ 1. 12 lbs or 180 oz 2. 2 T or $$ 3,800 \mathrm{lbs} $$ 3. $$ 5,320 \mathrm{lbs} $$ or 5 T 160 oz or 10 lbs 32 lbs or 510 oz

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UpStudy AI · Accepted Answer

Check the equality by following steps:
- step0: Check the equality is true or false:
  $$32=\frac{510}{16}$$
- step1: Reduce the fraction:
  $$32=\frac{255}{8}$$
- step2: Multiply both sides of the equation by LCD:
  $$32\times 8=\frac{255}{8}\times 8$$
- step3: Simplify the equation:
  $$256=255$$
- step4: Check the equality:
  $$\textrm{false}$$
Solve the equation $$ 12=180/16 $$.
Check the equality by following steps:
- step0: Check the equality is true or false:
  $$12=\frac{180}{16}$$
- step1: Reduce the fraction:
  $$12=\frac{45}{4}$$
- step2: Multiply both sides of the equation by LCD:
  $$12\times 4=\frac{45}{4}\times 4$$
- step3: Simplify the equation:
  $$48=45$$
- step4: Check the equality:
  $$\textrm{false}$$
Solve the equation $$ 2*2000=3800 $$.
Check the equality by following steps:
- step0: Check the equality is true or false:
  $$2\times 2000=3800$$
- step1: Multiply the numbers:
  $$4000=3800$$
- step2: Check the equality:
  $$\textrm{false}$$
Solve the equation $$ 5320=5*2000 $$.
Check the equality by following steps:
- step0: Check the equality is true or false:
  $$5320=5\times 2000$$
- step1: Multiply the numbers:
  $$5320=10000$$
- step2: Check the equality:
  $$\textrm{false}$$
Solve the equation $$ 160=10*16 $$.
Check the equality by following steps:
- step0: Check the equality is true or false:
  $$160=10\times 16$$
- step1: Multiply the numbers:
  $$160=160$$
- step2: Check the equality:
  $$\textrm{true}$$
Let's analyze each comparison step by step:

1. **12 lbs or 180 oz**:
   - To compare, we convert 12 lbs to ounces:
     $$
     12 \text{ lbs} = 12 \times 16 \text{ oz} = 192 \text{ oz}
     $$
   - Since $$ 192 \text{ oz} \neq 180 \text{ oz} $$, this comparison is **not equal**.

2. **2 T or 3,800 lbs**:
   - Convert 2 tons to pounds:
     $$
     2 \text{ T} = 2 \times 2000 \text{ lbs} = 4000 \text{ lbs}
     $$
   - Since $$ 4000 \text{ lbs} \neq 3800 \text{ lbs} $$, this comparison is **not equal**.

3. **5,320 lbs or 5 T**:
   - Convert 5 tons to pounds:
     $$
     5 \text{ T} = 5 \times 2000 \text{ lbs} = 10000 \text{ lbs}
     $$
   - Since $$ 5320 \text{ lbs} \neq 10000 \text{ lbs} $$, this comparison is **not equal**.

4. **160 oz or 10 lbs**:
   - Convert 10 lbs to ounces:
     $$
     10 \text{ lbs} = 10 \times 16 \text{ oz} = 160 \text{ oz}
     $$
   - Since $$ 160 \text{ oz} = 160 \text{ oz} $$, this comparison is **equal**.

5. **32 lbs or 510 oz**:
   - Convert 32 lbs to ounces:
     $$
     32 \text{ lbs} = 32 \times 16 \text{ oz} = 512 \text{ oz}
     $$
   - Since $$ 512 \text{ oz} \neq 510 \text{ oz} $$, this comparison is **not equal**.

### Summary of Results:
1. 12 lbs or 180 oz: **not equal**
2. 2 T or 3,800 lbs: **not equal**
3. 5,320 lbs or 5 T: **not equal**
4. 160 oz or 10 lbs: **equal**
5. 32 lbs or 510 oz: **not equal**
- 12 lbs and 180 oz: not equal - 2 T and 3,800 lbs: not equal - 5,320 lbs and 5 T: not equal - 160 oz and 10 lbs: equal - 32 lbs and 510 oz: not equal

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