She worked as a carpenter for 12 hours and as a blacksmith for 18 hours.
Assuming you mean she earned $20 as a carpenter and $25 as a blacksmith per hour, with a total of 30 hours for $690,
let c represent carpenter hours and b for blacksmith hours.
20c + 25b = 690
c + b = 30
Subtract b from each side so that c = 30 - b
Plug this value into the first equation
20(30 - b) + 25b = 690
600 - 20b + 25b = 690
600 + 5b = 690
5b = 90
b = 18
To find c, plug this value of b into the other equation
c + 18 = 30
c = 12
If we deal with Natural numbers then the range is
1 ≤ p ≤ 5
Answer:
31.76 ft and 58.64 ft
Step-by-step explanation:
The radius measures between 13 feet and 24 feet.
The wheel is able to turn 7π/9 radians before getting stuck.
We need to find the range of distances that the wheel could spin before getting stuck. That is, the length of arc.
Length of an arc is given as:

where θ = central angle = 7π/9 radians
r = radius of the circle
Therefore, for 13 feet:

For 24 feet:

The wheel could spin between 31.76 ft and 58.64 ft before getting stuck.
2/72 = 36
2/36 = 18
2/18 = 9
3/9 = 3
3/3 = 1
so now as you can see we have 3 number which is divided by 2 and 2 numbers which is divided by 3. so it becomes, 3*2√2 = 6√2 is final answer.
Answer:
Part 1)
Henry's location is at the ordered pair 
Libray's location is at the ordered pair 
Part 2) Henry is 5 city blocks at the left of the library and 7 city blocks up of the library
Step-by-step explanation:
Part 1) Write the ordered pairs that represent Henry and the Library
we have that
Henry's location is at the ordered pair 
Libray's location is at the ordered pair 
Part 2) Describe Henry's location relative to the library
Observing the graph
Henry is 5 city blocks at the left of the library and 7 city blocks up of the library