Answer:
After 15 minutes, the temperature of both the furnaces will be same.
Step-by-step explanation:
Let 
be the minutes when the temperature of both becomes same.
Now, as per question:
Temperature of the furnace after minutes that is cooling at the rate of 15 degree per minute is given as:
Temperature of the furnace after minutes that is heating at the rate of 5 degree per minute is given as:
Now, equating both the temperatures, we get
Therefore, after 15 minutes, the temperature of both the furnaces will be same.
Answer:
It takes the runner 3 hours to run 15 miles.
Hopefully, this is helpful!
Answer:
1 month
Step-by-step explanation:
249 is the amount she spends for buying the kitten, (299-50=249) which she only has to pay once.
20 is the amount she has to spend every month, the rate of change.
The problem can be modeled with the general equation:
y = 20x + 249
In this equation, x the the time in months and y is the amount of money spent.
Substitute 250 for y.
y = 20x + 249
250 = 20x + 249 <= isolate x to get the number of months
1 = 20x
x = 1/20
Carol will only spent money every month, not for 1/20 of a month.
It will only take Carol 1 month to spent $250.
Check answer:
Substitute x for 1
y = 20x + 249
y = 20(1) + 249
y = 269
269 is more than 250 already.
9514 1404 393
Answer:
√629 ≈ 25.08
Step-by-step explanation:
The distance formula is useful for this.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((-12 -13)² +(6 -8)²) = √(625 +4) = √629 ≈ 25.08
The distance between the points is about 25.08 units.
