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question:a poll of 1200 people, 30% of them do not like radio, and 10% of those who do not like radio also do not like music. How many people in the poll do not like both radio and music?
answer:We start by finding the number of people who do not like radio. 30% of 1200 is (0.30)(1200) = 360 people. Next, we find the number of people who do not like both radio and music. 10% of the people who do not like radio is (0.10)(360) = 36 people. Therefore, there are boxed{36} people in the poll who do not like both radio and music. The answer is: 36
question:The area of a rectangle is 432 square centimeters. What would the new area be if the length of the rectangle was decreased by 10% and the width of the rectangle was increased by 10%? Express your answer to the nearest whole number.
answer:Let the original length of the rectangle be l and the original width be w. We have lw=432. If the length is decreased by 10%, the new length would be 0.9l. If the width is increased by 10%, the new width would be 1.1w. The new area of the rectangle is (0.9l)(1.1w)=0.99lw. Substituting lw=432, we have 0.99(432)=boxed{428}. The answer is: 428
question:Annie brought 20 brownies to school. She gave half of them to the school administrator to put in the faculty lounge. Of the remaining brownies, she gave half to her best friend, Carl, and another two to her friend, Simon. How many brownies did she have left?
answer:Annie gave half of the brownies, so she gave away 20/2 = 10 brownies to the school administrator. She had 20 - 10 = 10 brownies remaining. She gave half of the remaining brownies, so she gave away 10/2 = 5 brownies to her best friend, Carl. She had 10 - 5 = 5 brownies remaining. She gave another two brownies to her friend, Simon, so she had 5 - 2 = 3 brownies left. 3 The answer is: 3
question:f the river flowing through Moreland is initially five feet deep in mid-May and becomes 10 feet deeper by mid-June, how deep is the river by mid-July when it is three times deeper than it was in mid-June?
answer:If the river is initially five feet deep and becomes 10 feet deeper by mid-June, then it is 5 + 10 = 15 feet deep by mid-June. If the river is three times deeper than it was in mid-June by mid-July, then it is 15 x 3 = 45 feet deep by mid-July. 45 The answer is: 45