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What are 4 consecutive even integers where the product of the two smaller number is 72 less than the product of the two larger numbers?
12, 10, 8 and 6 (in descending order).Let the highest number equal a.We are told that ab - cd = 72However, as the numbers are consecutive even integers we also know that:b = a - 2c = a - 4d = a - 6thus we can use this to write the above equation in terms of only one variable, a, as:(a * (a - 2)) - ((a-4) * (a-6)) = 72(a2 - 2a) - (a2 - 10a + 24) = 72 (Remember that as we expand the second bracket in the next step we will multiply each term by the minus outside the bracket giving:)a2 - 2a - a2 + 10a - 24 = 72 (Now we can continue to simplify to get:)8a - 24 = 728a = 96a = 12Once we have a value for "a" we have a value for all the variables:a = 12b = 10c = 8d = 6As a proof, if we wish, we can substitute these values back into the original equation to get:ab - cd = 72(12 * 10) - (8 * 6) = 72120 - 48 = 72.
The square of certain number exceeds 24 by 5 times the numberwhat is the number?
120 there the number
What is -8d plus 8d?
-8d + 8d = 0
What is the nth term in the arithmetic sequence?
It is a + 8d where a is the first term and d is the common difference.
What does - 8d-3w equal?
11
What is 8d equals 5d plus 18?
8d = 5d+18 8d-5d = 18 3d = 18 d = 6
What is 8d in math?
8D in Mathematics is a site offering classes in ABACUS Math.
What is the answer of 8d-3d equals 65?
8d-3d =65 plus work
What are the factors of d2 plus 8d plus seven?
d2 + 8d + 7 = (d + 7) (d + 1)
What is 2d plus 11e plus 8d plus 11e in algebra?
2d + 11e +8d + 11e = 10d + 22e
What is cunny?
A ladies jinie! 8D
What is the binary 100?
100b = 8d
What is the LCM of 8 an d?
8d
What is 8d - 10?
18
