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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 a 8d nail?
An 8d nail is a type of common nail used in construction and woodworking, where "8d" refers to its size and weight classification. The "d" stands for "penny," a historical term that indicates the length of the nail, with an 8d nail measuring approximately 2.5 inches long. It is typically used for framing, attaching plywood, and other general carpentry tasks. The gauge of an 8d nail is usually around 0.131 inches in diameter.
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 the answer of 8d-3d equals 65?
8d-3d =65 plus work
What is 8d in math?
8D in Mathematics is a site offering classes in ABACUS Math.
How long is an 8d nail?
An 8d nail is typically 2.5 inches long. The "d" in 8d refers to the penny weight system, where the number indicates the length of the nail in inches. Therefore, an 8d nail is commonly used in construction and woodworking applications for framing and other projects.
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
How do you simplify 3d plus 8d-d-5?
3d + 8d - d - 5 = 10d - 5 = 5*(2d - 1)
What is cunny?
A ladies jinie! 8D
