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What is the ratio of the sum of two numbers whose product is 21 to their difference?
Two specific cases of pairs of numbers whose product is 21 are: 1 x 21 and 3 x 7. The ratio of their sum to their difference is: 1 x 21 ... (21+1):(21 - 1) = 22:20 = 11 : 10, and 3 x 7 ... (3+7):(7-3) = 10:4 = 5 : 2. To find a general formula, let the larger number be x and the smaller be 21/x. Their sum is x + 21/x = (x^2 +21)/x Their difference is x - 21/x = (x^2 -21)/x Ratio of sum to difference is [(x^2+21)/x] / [(x^2-21)/x] = [(x^2+21)/x] * [x/(x^2-21)] = (x^2+21)/(x^2-21) Check: This formula produces the results found above.
Kira Hans and Abdul sent a total of 74 text messages during the weekend Abdul sent 2 times as many messages as Kira Hans sent 10 fewer messages than Kira How many messages did they each send?
Let say that Kira sent x messages, so that Hans sent x - 10 messages, and Abdul sent 2x messages. Since they sent 74 messages altogether we have:x + (x - 10) + 2x = 744x - 10 = 744x - 10 + 10 = 74 + 104x = 844x/4 = 84/4x = 21 Kira's messagesx - 10 = 21 - 10 = 11 Hans's messages2x = 2(21) = 42 Abdul's messagesCheck:
What plus 14 makes -21?
X+14=-21 X=-21-14 X=-35 is your answer.
What is 22 x 21 x 33 in linear dimensions?
22, and 21, and 33. 22 x 21 x 33, as a single entity is a measure of volume and cannot be converted to a linear measure.
Which number goes into 21 and 28?
When figuring out what number goes both into 21 and 28, you should look at the factor paris. 21: 1 x 21, 3 x 7 28: 1, 28, 2 x 14, 4 x 7 7 goes into both 21 and 28.
