A. Which of the following are leap years? 1994 1952 2002 2004 2010 2012 2016 2028

The correct answer is: 1952, 2004, 2012, 2016, 2028 Explanation A year is a leap year if it is divisible by 4, except that years divisible by 100 are leap years only if they are also divisible by 400. None of the years listed are century years, so we only need to check divisibility by 4. Steps: Check 1994: $$1994\div4=498.5\Rightarrow\text{not divisible by 4 (not leap)}$$ Check 1952: $$1952\div4=488\Rightarrow\text{divisible by 4 (leap)}$$ Check 2002: $$2002\div4=500.5\Rightarrow\text{not divisible by 4 (not leap)}$$ Check 2004: $$2004\div4=501\Rightarrow\text{divisible by 4 (leap)}$$ Check 2010: $$2010\div4=502.5\Rightarrow\text{not divisible by 4 (not leap)}$$ Check 2012: $$2012\div4=503\Rightarrow\text{divisible by 4 (leap)}$$ Check 2016: $$2016\div4=504\Rightarrow\text{divisible by 4 (leap)}$$ Check 2028: $$2028\div4=507\Rightarrow\text{divisible by 4 (leap)}$$ Therefore, the leap years in the list are 1952, 2004, 2012, 2016, 2028.

The correct answer is: $0.7\text{ cm}$ Explanation To convert millimeters to centimeters, use the fact that $1\text{ cm} = 10\text{ mm}$, so each millimeter is $0.1\text{ cm}$. Steps: $1\text{ cm} = 10\text{ mm}$ $1\text{ mm} = \frac{1}{10}\text{ cm} = 0.1\text{ cm}$ $7\text{ mm} = 7 \times 0.1\text{ cm} = 0.7\text{ cm}$ Therefore, $7\text{ mm} = 0.7\text{ cm}$.

The correct answer is: No — 167 cm is about 5'5.75" (approximately 5'6"). Explanation We convert centimeters to inches then to feet + inches. Steps: Convert to inches: $167\div2.54\approx65.748\text{ in}$ Convert to feet and remaining inches: $65.748\div12=5\text{ ft }$ with remainder $65.748-5\times12\approx5.748\text{ in}$ So $167\text{ cm}\approx5\text{ ft }5.748\text{ in}\approx5'5.75''$. For comparison: $5'5''=65\text{ in}=65\times2.54=165.1\text{ cm}$, so 167 cm is about $1.9\text{ cm}$ taller than 5'5".

How Many Cups or in a Pint

The correct answer is: 1 pint = 2 cups (US liquid) Explanation In US customary (liquid) measures: $1\text{ pint}=16\text{ fl oz}$ and $1\text{ cup}=8\text{ fl oz}$. Steps: $1\text{ pint}=16\text{ fl oz}$ $1\text{ cup}=8\text{ fl oz}$ $16\div8=2$ → $1\text{ pint}=2\text{ cups}$ Notes (other systems): Imperial (UK) pint is larger: $1\text{ imperial pint}\approx568.261\text{ mL}$, and a US cup is $236.588\text{ mL}$, so $568.261\div236.588\approx2.403$ US cups. If you use a metric "cup" (commonly $250\text{ mL}$), then $1\text{ US pint}=473.176\text{ mL}\approx1.89$ metric cups. If you tell me which system (US liquid, US dry, imperial, or metric cup) you need, I can give the exact conversion you want.

The correct answer is: $61.235\text{ kg}$ Explanation Convert pounds to kilograms using the exact conversion $1\text{ lb}=0.45359237\text{ kg}$. Steps: Apply the conversion: $$135\times0.45359237=61.23496995$$ Round to a reasonable precision: $$61.23496995\approx61.235\text{ kg}$$ Therefore, $135\text{ lb}\approx61.235\text{ kg}$ (about $61.23\text{ kg}$ if rounded to two decimal places).

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164cm.What is my heigh

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164cm.What is my heigh

Q: 164cm.What is my heigh

The correct answer is: $1.64\text{ m}$ (about $5\text{ ft }4.6\text{ in}$) Explanation You gave your height as 164 cm. Converting centimeters to meters and to feet+inches shows your height in those common units. Steps: First step: $$164\text{ cm}=\frac{164}{100}\text{ m}=1.64\text{ m}$$ Second step: $$1\text{ in}=2.54\text{ cm}\Rightarrow 164\div2.54\approx64.5669\text{ in}$$ Final step: $$64.5669\text{ in}=5\text{ ft }+(64.5669-60)\text{ in}=5\text{ ft }4.5669\text{ in}\approx5\text{ ft }4.6\text{ in}$$ Therefore, 164 cm = $1.64\text{ m}$, which is about $5\text{ ft }4.6\text{ in}$. Would you like this rounded differently (e.g., to the nearest inch)?

Answer

100% (3 rated)

The correct answer is: $1.64\text{ m}$ (about $5\text{ ft }4.6\text{ in}$)

Explanation

You gave your height as 164 cm. Converting centimeters to meters and to feet+inches shows your height in those common units.

Steps:

First step: $$164\text{ cm}=\frac{164}{100}\text{ m}=1.64\text{ m}$$
Second step: $$1\text{ in}=2.54\text{ cm}\Rightarrow 164\div2.54\approx64.5669\text{ in}$$
Final step: $$64.5669\text{ in}=5\text{ ft }+(64.5669-60)\text{ in}=5\text{ ft }4.5669\text{ in}\approx5\text{ ft }4.6\text{ in}$$

Therefore, 164 cm = $1.64\text{ m}$, which is about $5\text{ ft }4.6\text{ in}$. Would you like this rounded differently (e.g., to the nearest inch)?

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