answer:1. **Understanding the New Offer**: The store offers two free windows for every six purchased. This implies for every eight windows considered (six purchased + two free), the cost is only for six windows. 2. **Calculating Individual Savings**: - **Dave's Purchase**: Dave needs 10 windows. - Without the offer, he would pay 10 times 100 = 1000 dollars. - With the offer, Dave buys 6 windows, gets 2 free, and buys 4 more windows (which makes him eligible for no additional free ones as it requires 6 for the offer). He pays for 10 windows: 10 times 100 = 1000 dollars. - Dave's savings: 1000 - 1000 = 0 dollars. - **Doug's Purchase**: Doug needs 12 windows. - Without the offer, Doug would pay 12 times 100 = 1200 dollars. - With the offer, Doug buys 6 windows and gets 2 free, then repeats the same for another 6 purchased for 2 more free. Thus, he pays for 12 windows but only buys 10: 10 times 100 = 1000 dollars. - Doug's savings: 1200 - 1000 = 200 dollars. 3. **Calculating Combined Savings**: - **Combined Purchase**: Dave and Doug together need 10 + 12 = 22 windows. - Without the offer, they would pay 22 times 100 = 2200 dollars. - With the offer, they buy 18 windows (6 + 6 + 6) and get 6 free. Thus, they pay for 18 windows: 18 times 100 = 1800 dollars. - Combined savings: 2200 - 1800 = 400 dollars. 4. **Comparing Separate vs. Combined Purchases**: - Total savings if purchased separately: Dave's 0 + Doug's 200 = 200. - Savings if purchased together: 400. - Additional savings when purchasing together: 400 - 200 = 200. Conclusion: They save an additional 200 dollars by purchasing together compared to buying separately. The final answer is boxed{textbf{(C)} , 200}

answer:In one hour, the hour hand moves one large division, so the angle turned is -30°. In two hours, the hour hand moves two large divisions, so the angle turned is -60°. Therefore, the correct answer is boxed{text{B}}. The clock face is divided into 360°, split into 12 large divisions, each large division being 360°÷12=30°, from which the answer is derived. This problem examines the characteristics related to the clock face and angles. The clock face is divided into 12 large divisions, each large division is further divided into 5 small divisions, thus the face is divided into 60 small divisions in total, with each small division corresponding to an angle of 6°. When the minute hand completes one rotation, which takes 60 minutes, the hour hand moves one large division, i.e., the hour hand moves 30°.

answer:Let's calculate each number: A is 7 greater than 32, so A = 32 + 7 = 39. B is a number of 3 groups of 10 and 3 units, so B = (3 * 10) + 3 = 30 + 3 = 33. C is 9 less than 50, so C = 50 - 9 = 41. Now, let's compare the numbers: A = 39 B = 33 C = 41 The smallest number among A, B, and C is B, which is boxed{33} .

answer:Let's denote the monthly car insurance payment that Jessica made last year as ( C ). Last year, Jessica's total annual expenses were: - Rent: ( 1000 times 12 = 12000 ) dollars - Food: ( 200 times 12 = 2400 ) dollars - Car insurance: ( C times 12 ) So, the total expenses last year were ( 12000 + 2400 + 12C ). This year, her expenses are: - Rent: ( 1000 times 1.30 times 12 = 1300 times 12 = 15600 ) dollars - Food: ( 200 times 1.50 times 12 = 300 times 12 = 3600 ) dollars - Car insurance: ( C times 3 times 12 = 36C ) So, the total expenses this year are ( 15600 + 3600 + 36C ). According to the information given, Jessica pays 7200 more this year than last year. Therefore, we can set up the following equation: [ 15600 + 3600 + 36C = (12000 + 2400 + 12C) + 7200 ] Simplifying both sides of the equation: [ 19200 + 36C = 19200 + 12C ] Subtracting ( 19200 ) from both sides: [ 36C = 12C + 7200 ] Subtracting ( 12C ) from both sides: [ 24C = 7200 ] Dividing both sides by 24: [ C = frac{7200}{24} ] [ C = 300 ] So, Jessica paid boxed{300} for car insurance each month last year.