Answer:
7.25 and 10.75 Hours
Step-by-step explanation:
Total hours Nalia and Lisa worked = 18 Hours
Nalia worked 3.5 hours then Lisa which is 
hours
⇒
Lisa has worked for 7.25 hours
Nalia has worked for = 7.25 + 3.5 = 10.75 hours
Answer: 6 dogs
Step-by-step explanation:
If 100 treats will feed 15 dogs, then that means that the number of treats that each dog requires is:
= 100/15
= 6.67 treats
If 6.67 treats will feed one dog then the number of dogs that will be fed by 40 is:
= 40 / 6.67
= 6 dogs
Answer:
y=−x+573, x+y=573
Step-by-step explanation:
Answer: x=2
Explanation:
9(x+1)=25+x
9x+9=x+25
8x+9=25
8x=16
X=2
Answer:
After 2 minutes the temperature of the hot chocolate will be 149.46 degrees Fahrenheit.
Step-by-step explanation:
We are going to use the Newton's law of cooling to solve this exercise. The Newton's law of cooling states that the amount of heat lost by a body is proportional to the difference of temperature between the body and the enviroment. We are going to use the following function :
T(t)=T_{0}+(T_{i}-T_{0}).e^{-kt}T(t)=T
0
+(T
i
−T
0
).e
−kt
Where ''T(t)'' is the temperature of the body that depends of the variable ''t'' which is time.
Where T_{0}T
0
is the temperature of the surroundings
In this case T_{0}T
0
is the temperature of the freezer
Where T_{i}T
i
is the initial temperature of the body which is cooling. In this case, T_{i}T
i
is the temperature of the hot chocolate
And where ''k'' is a constant. In this case, k=0.12k=0.12 is a data of the exercise
If we replace all the values in the equation and replacing t=2minutest=2minutes
⇒
T(2minutes)=0+(190-0).e^{-(0.12).(2)}T(2minutes)=0+(190−0).e
−(0.12).(2)
T(2minutes)=(190).(e^{-0.24})=149.46T(2minutes)=(190).(e
−0.24
)=149.46
We find that the temperature of the hot chocolate after 2 minutes is 149.46 degrees Fahrenheit
