Let r = usual driving rate
let t = usual driving time
We need to figure out t
The distance she covers in her usual time at her usual rate is r*t
The distance she covers in her new time at her new rate is:
(1+t)*((2/3)r)
Set this equal to each other and solve for t.
rt = (2/3)r + (2/3)rt
(1/3)rt = (2/3)r
(1/3)t = (2/3)
t = 2
So her usual time is 2 hours. (There's probably a faster way to do this)
Answer:
700 miles
Step-by-step explanation:
Given:
Scale of the map is 
∴ 
Distance of Susan from mount Shasha on the map is 7 inch.
Therefore, Number of miles = 
Hence, Susan must travel 700 miles to reach her destination.
For the given sequence, we can note that:
when we multiply a previous term by 1/4, we get the next term where:
2 * 1/4 = 1/2
1/2 * 1/4 = 1/8
1/8 * 1/4 = 1/32
Therefore, we can say that our sequencer here (r) is equal to 1/4
The general formula to represent this sequence is:
an = a1 * r^(n-1) where :
an represent the nth term that we want to find
a1 represents the first term in the sequence = 2
r is the sequencer = 1/4
n represents the order of the term in the sequence
Based on the above, the equation will be:
an = 2 * (1/4)^(n-1)
Answer: 1/20?
Step-by-step explanation: if they’re all different colors and it’s 10 then pulling out blue has a 1/10 chance so pulling it again would be 1/20
