8 divided by 1/4 will be equal to which value?

8 divided by 1/4 will be equal to which value?

unknown values: x

equation: x = 8 / (1/4)

answer: 32

The numerator of a certain fraction is 4 times the denominator. If 6 is added to both the numerator and denominator, the resulting fraction is equivalent to 2. whAt was the original fraction.

unknown values: f,n,d

equation: f = n/d

equation: n = 4*d

equation: (n+6)/(d+6) = 2

answer: 12/3

Find two consecutive odd integers such that 4 times the smaller added to 3 times the larger gives a sum of 601.

unknown values: x, y

equation: x % 2 = 1

equation: x + 2 = y

equation: 4*x + 3*y = 601

answer: 85; 87

The sum of two numbers is 20, and their sum is to their difference as 10 is to 1. What are the numbers?

unknown values: x, y

equation: x + y = 20

equation: (x + y) / (x - y) = 10/1

answer: 11; 9

if 5^21 x 4^11= 2 x 10^n what is the value of n?

unknown values: n

equation: 5^21 * 4^11= 2 * 10^n

answer: 21

Find the sum of a geometric sequence whose first term is 54, whose last (nth) term is 2, and whose common ratio is 1/3.

unknown values: s

equation: s = 54 * ((1/3)^n - 1) / (1/3 - 1)

equation: 2 = 54 * (1/3)^(n-1)

answer: 80

Find the sum of the terms in the geometric series with a_1 = -9, r = -4, and a_n = 9,216?

unknown values: s

equation: 9216 = (-9)*(-4)^(n-1)

equation: s = (-9) * ((-4)^n - 1) / (-4 - 1)

answer: 7371

What is the 7th term of the geometric sequence where a1 = -4 and a5 = -1,024?

unknown values: x

equation: -1024 = -4*r^(5-1)

equation: x = -4*r^(7-1)

answer: -16384

Suppose f(x)=4x-2 and g(x)=-2x+1. Find the value of f(5)/g(-3)?

unknown values: v

equation: v = (4*5-2) / (-2*(-3)+1)

answer: 18/7 | 2.571

One number is 3 less than a second number. Twice the second number is 12 less than 5 times the first. Find the two numbers."/>