The correct response is:
3 inches rise for every foot in length
Explanation:
To derive the rate of change, we need to compute the difference in height and the difference in distance. The rate of change is expressed as rise/run, or
(change in height)/(change in length).
The respective heights at the specified points are 18 inches and 12 inches, resulting in a change of 18-12 = 6 inches.
The corresponding lengths at those points are 6 feet and 4 feet, yielding a change of 6-4 = 2 feet.
This implies our rate of change is (6 inches)/(2 feet), which simplifies to (3 inches)/(1 foot), indicating a rise of 3 inches for each foot of incline on the driveway.
Starting with the equation Y - 4x = 7, we can express y as y = 4x + 7. Now, substitute this expression into the second equation 2y + 4x = 2:
2(4x + 7) + 4x = 2,
which simplifies to 8x + 14 + 4x = 2. After that, we gather like terms:
12x = 2 - 14,
yielding 12x = -12, hence x = -1. Plugging x into the equation y - 4(-1) = 7 also reveals:
y + 4 = 7,
which gives y = 3. Thus, the solution arrives at (-1, 3).
Given that,
Julia completes a 20-mile bike ride in 1.2 hours.
The distance Julia covers is 20 miles and her time taken is 1.2 hours.
Therefore, Julia's speed = 
= 16.67 mph
Katie finishes the same 20-mile ride in 1.6 hours.
Katie’s distance is 20 miles and her time is 1.6 hours.
Hence, Katie's speed = 
= 12.5 mph
To determine how much faster Julia rides compared to Katie, subtract Katie’s speed from Julia’s speed.
Thus, 16.67 mph minus 12.5 mph equals 4.17 mph, approximately 4.2 mph.
Consequently, Julia cycles 4.2 mph faster than Katie.
Response:
The monthly income of Kim's business is $10,000.
Every month, Kim spends $3,000 on non-employee costs.
To achieve a monthly profit of $2,000, the highest possible expenditure for employees is calculated as follows:
10000 - 3000 - 2000 = 5000
With the cost of each employee being $1,000 a month, Kim can hire a maximum of 5000/1000 = 5 employees.
Hope this is useful
:)
$125,060,000
one-hundred twenty-five million, and sixty thousand dollars
Also, 125.06 expressed as a fraction is 6253/50, if that representation is acceptable.
You can refer to it as 125.06 million dollars when using the figure from the prompt.
