Answer:
x = -1/2
Step-by-step explanation:
This question can be solved by applying the laws of indices
In a^n, a - base
n - index
Given
9^x = 1/3
According to the laws of indices, a/b = b^(-a)
Hence we can write, 1/3 = 3^(-1)
9^x = 3^(2x)
Again according to the laws of indices,
a^b = a^n can be written as;
b = n
That is, if in an equation the bases are the same, the indices are also equal.
So we can write,
3^(2x) = 3^(-1)
2x = -1
Divide both sides of the equation by 2, the coefficient of x
2x/2 = -1/2
x = -1/2
Answer:
x=1
Step-by-step explanation:
3x+8x-8=3
11x=3+8
11x=11
x=11/11
x=1
4 * 151 = 604
The jogger will burn 604 calories after an hour of jogging.
Answer: 8n
Step-by-step explanation: 5n + 3n
Answer:
16 hours
Step-by-step explanation:
let t be time, n the number of computers and w the number of workers, then
t = 
← k is the constant of variation
To find k use the condition n = 30, w = 6 and t = 10 , then
10 = 
( multiply both sides by 6 )
60 = 30k ( divide both sides by 30 )
2 = k
t = 
← equation of variation
When w = 5 and n = 40 , then
t = 
= 
= 16 hours
