square root six over square root 7 multiplied by square root 14 over square root 3.

square root six over square root 7 multiplied by square root 14 over square root 3.

unknown values: x

equation: x = (sqrt(6)/sqrt(7)) * (sqrt(14)/sqrt(3))

answer: 2

if 4 is added to the square of a composite integer, the result is 14 less than 9 times that integer. find the integer.

unknown values: n

equation: 4 + n^2 = 9*n - 14

answer: 6

Two positive whole numbers differ by 5. When one is added to twenty times the smaller number, the result is the same as the square of the bigger number. Find two pairs of numbers for which this statement is true.

unknown values: x,y

equation: x - y = 5

equation: 20*y + 1 = x^2

answer: {9; 4} or {11; 6}

How many four-digit numbers can be formed using the digits 0,1,2,3,4,5,6,7,8, and 9 if the first digit cannot be 0? Repeated digits are allowed.

unknown values: n

equation: n = 9 * 10 * 10 * 10

answer: 9000

a two digit number is equal to four times the sum of its digits. If it is increased by 3, the resulting number is equal to three times the sum of its digits. Find the original number.

unknown values: n

equation: n = 10*a + b

equation: n = 4(a + b)

equation: n + 3 = 10*c + d

equation: n + 3 = 3(c + d)

equation: is_digit(a, b)

answer: 24

the equation is 10x - 19 = 9 - 4x.What's the value of x?

unknown values: x

equation: 10*x - 19 = 9 - 4*x

answer: 2

Twelve less than 2 times a number is equal to 15 minus 7 times the number.

unknown values: n

equation: 2*n - 12 = 15 - 7*n

answer: 3

the sum of 2 consecutive integers and their product is 271. find the integers?

unknown values: n,n+1

equation: n + (n+1) + n(n+1) = 271

answer: 15; 16 or -18; -17

The sum of the 32 terms in an arithmetic series is 5488 and the first term is 1. Find the last term in the series.

unknown values: x

equation: 1 + (32-1)*d = x

equation: (1+x)*32/2 = 5488

answer: 342

Find the reciprocal of (-1/2)(8/4)(12)

unknown values: x

equation: x * (-1/2)(8/4)(12) = 1

answer: -1/12 | -0.083