Based on the information provided, let's solve each part step by step.
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Find the value of x and the quotient:
- You have a subtraction problem represented as: \(374 - 330 = 44\).
- The left section states a reference of \(3\) tens (30) plus the integer part from the leftovers which equals \(44\).
- Based on the hints, the \(x\) value could represent something in those tens.
- Analyzing the options:
- a: The value of \(x\) is \(3\); the quotient is \(33\). (Not valid for \(44\))
- b: The value of \(x\) is \(4\); the quotient is \(34\). (Not valid for \(44\))
- c: The value of \(x\) is \(3\); the quotient is \(43\). (Not valid for \(44\))
- d: The value of \(x\) is \(4\); the quotient is \(44\). (Valid, as \(44\) matches the result)
Answer: d. The value of x is 4; the quotient is 44.
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Area of a rectangle and its width:
- Area = Length × Width → \(836\) sq ft = \(38\) ft × Width.
- To find Width, divide the area by length: \[ \text{Width} = \frac{836}{38} ≈ 22 \text{ ft}. \]
Answer: e. 22 ft.
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Total number of miles driven by Mr. Lopez:
- If Mr. Lopez drives \(12,000\) miles each year for \(5\) years: \[ \text{Total miles} = 12,000 \times 5 = 60,000 \text{ miles}. \]
Answer: j. 60,000 miles.
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Estimate the quotient:
- The specific numbers were missing, but typically, to estimate the quotient, round the numbers involved to the nearest whole number or easier number to divide. Depending on the context, please provide the division problem.
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Kevin's earnings:
- If Kevin earns \(9.65\) per hour and works \(19\) hours: \[ \text{Earnings} = 9.65 \times 19 = 183.35 \text{ dollars}. \]
Hence, Kevin earns $183.35 last week.
If there is any part where additional details are needed or more specific questions to clarify, please provide them!
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