Answer:
The expression to find Carey's hourly rate is: 
. Carey's hourly rate is $10.
Step-by-step explanation:
Anderson receives 1 more than half of carey's hourly rate. If we call Anderson's rate by "a" and Carey's by "c", we can express this phrase in the following equation:
We want to find the Carey's rate, therefore we need to isolate the "c" variable.
Since Anderson earns $6, then we can find Carey's rate:
Answer:
Step-by-step explanation:
Given
See attachment for farm
Required
The cost of fencing the farm
First, calculate the radius of the farm.
The radius is represented with AC.
So, we have:
---- distance formula
So, we have:
Hence:
--- radius
Calculate the circumference of the circle
If 1 yard costs $30, 31.4 yards will cost:
Answer:
Step-by-step explanation: add the equations
2x² = 30
x² = 15
y² = 12 - 15
= -3
x4 -y4 = 15² - (-3)²
= 216
Answer: the rate uphill is 6 mph.
The rate downhill is 10 mph
Step-by-step explanation:
Let x represent the rate at which the jogger ran uphill.
The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph
Time = distance/speed
if the jogger can runs 5 miles downhill, then the time taken to run downhill is
5/(x + 4)
At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is
3/x
Since the time is the same, it means that
5/(x + 4) = 3/x
Cross multiplying, it becomes
5 × x = 3(x + 4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
x = 6
The rate downhill is 6 + 4 = 10 mph
