To answer this question, one method that can be used is to convert all the fractions to decimal form so it is easier to compare them to each other. This can be done by simply dividing, since the fraction sign means division. 7÷8=0.875 3÷8=0.375 7÷5=1.4 4÷5=0.8 So, the only pair of numbers in which the fraction is equivalent to the decimal is in answer B.
Note that the ratio asked for is the number of people who ordered milk to the number who ordered juice. The number of people who ordered coffee does not matter here. This compares 10 to 25, and the order is important here. Since the ratio is with the number of people who ordered milk first, the 10 must come first. So, the ratio is 10 to 25, but the ratio can be written in simpler form by dividing both numbers in the ratio by 5, to get the ratio: 2 to 5
Looking at the chart, a pattern can be seen in the relationship between the number of gills and the number of fluid ounces. Each number of gills in the first column, when multiplied by 4, gives the number of fluid ounces in the second column. So, f equals 4 times g, or f = 4g.
The formula for the area of trapezoids is not necessarily needed here to do this problem. Since the relationship between the area, A, and the height, h, can be seen in the chart, looking at the third and fourth columns to see if there is a pattern will show a relationship between the variables. Each value in the area column is equal to 6 times the value in the height column. So, we get A=6h.
The angles opposite each other in a parallelogram are equal in measure. So, ∠R has an equal measure to ∠T, or 35°. The sum of the measures of these two angles is 35 + 35 = 70. The sum of the measures of all four angles of a quadrilateral is 360°. We subtract 360 – 70 to get 290. So, 290° is the sum of the measures of the other two equal angles, ∠S and ∠V. Then we divide 290 by 2 to get 145. We know that ∠V has a measure of 145°.
