Seven fewer than a number ( k ) can be expressed mathematically as ( k - 7 ). This means you take the value of ( k ) and subtract 7 from it. For example, if ( k ) is 10, then seven fewer would be ( 10 - 7 = 3 ).
k-7
2k - 7
k + 7
To write the sum of a number k and 7, you would use the mathematical expression k + 7. This expression represents adding the value of k to 7. In algebraic terms, this is known as an addition operation where k is the addend and 7 is the other addend. The result of this addition operation would give you the sum of k and 7.
7 less than k
Potassium's atomic radius is smaller than rubidium's because potassium has fewer energy levels of electrons.
4k = 28 Therefore, 28/4 = 7 k = 7
Any number of the form 84*k, where k is an integer, is evenly divisible.
k is less than or equal to 7
So K > 93...
To find the number of positive integers less than 1,000,000 whose digits sum to 7, we can use the combinatorial method known as "stars and bars." We want to distribute 7 identical "stars" (the sum) into 6 "bars" (the digits), allowing for leading zeros. The number of non-negative integer solutions to the equation ( x_1 + x_2 + x_3 + x_4 + x_5 + x_6 = 7 ) is given by the formula ( \binom{n+k-1}{k-1} ), where ( n ) is the sum and ( k ) is the number of digits. Thus, the number of solutions is ( \binom{7+6-1}{6-1} = \binom{12}{5} = 792 ). Therefore, there are 792 positive integers less than 1,000,000 with digits that sum to 7.
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