Appearance
question:After cleaning the living room once a week, it takes Kitty 5 minutes to pick up toys and straighten the living room, 20 minutes to vacuum the floor, seating, and drapes, 15 minutes to clean the windows, and 10 minutes to dust the furniture. How much time has Kitty spent cleaning just the living room after 4 weeks?
answer:Kitty spends 5 minutes picking up toys and straightening the living room, so after 4 weeks, she has spent 5 minutes/week x 4 weeks = 20 minutes on this task. She spends 20 minutes vacuuming the floor, seating, and drapes, so after 4 weeks, she has spent 20 minutes/week x 4 weeks = 80 minutes on this task. She spends 15 minutes cleaning the windows, so after 4 weeks, she has spent 15 minutes/week x 4 weeks = 60 minutes on this task. She spends 10 minutes dusting the furniture, so after 4 weeks, she has spent 10 minutes/week x 4 weeks = 40 minutes on this task. In total, Kitty has spent 20 minutes + 80 minutes + 60 minutes + 40 minutes = 200 minutes cleaning just the living room after 4 weeks. 200 The answer is: 200
question:There is a very large room that has 4 tables, 1 sofa and 2 chairs that have 4 legs each. There are also 3 tables with 3 legs each, 1 table with 1 leg, and 1 rocking chair with 2 legs. How many legs are there in the room?
answer:There are 4 tables with 4 legs each, so there are 4*4 = 16 table legs There is 1 sofa with 4 legs, so there are 1*4 = 4 sofa legs There are 2 chairs with 4 legs each, so there are 2*4 = 8 chair legs There are 3 tables with 3 legs each, so there are 3*3 = 9 table legs There is 1 table with 1 leg, so there is 1*1 = 1 table leg There is 1 rocking chair with 2 legs, so there are 1*2 = 2 rocking chair legs Adding up all the legs, there are 16+4+8+9+1+2 = 40 legs in the room 40 The answer is: 40
question:What is the x-intercept of the line perpendicular to the line defined by 3x-2y = 6 and whose y-intercept is 2?
answer:First, we need to find the slope of the line defined by 3x-2y=6. To do this, we can rewrite the equation in slope-intercept form: y = frac{3}{2}x - 3. From this form, we can see that the slope of the line is frac{3}{2}. Since the line perpendicular to this line will have a slope that is the negative reciprocal of frac{3}{2}, the slope of the perpendicular line is -frac{2}{3}. We also know that the y-intercept of the perpendicular line is 2. Using the slope-intercept form y=mx+b, we can write the equation of the perpendicular line as y = -frac{2}{3}x + 2. To find the x-intercept, we set y to 0 and solve for x. 0 = -frac{2}{3}x + 2 frac{2}{3}x = 2 x = frac{2}{frac{2}{3}} x = frac{2}{1} cdot frac{3}{2} x = boxed{3} The answer is: 3
question:Fatima has a piece of cloth that is 100 square inches big. She has decided to cut the cloth in half. She plans on keeping half and donating the other half. If she does this 2 times, then how much cloth will she have donated?
answer:The first time Fatima cuts the cloth in half, she will donate half of the cloth, which is 100/2 = 50 square inches. After the first donation, Fatima will have 100/2 = 50 square inches of cloth left. The second time Fatima cuts the remaining cloth in half, she will donate half of the remaining cloth, which is 50/2 = 25 square inches. So, in total, Fatima will have donated 50 + 25 = 75 square inches of cloth. 75 The answer is: 75