Answer:
3.7 hours
Step-by-step explanation:
Pat could do the job alone in 8 hours.
Patti could do the job alone in 7 hours
Output = Rate * time
Let the rate at which pat does the work = Rp
Let the rate at which Patti does the work = Rt
Let X be the total output
Rp * 8 = X
Rp = X/8
Rt * 7 = X
Rt = X/7
If both pat and Patti pick apples, we have
(Rp+Rt)T = X
(X/8 + X/7)T = X
[(7X + 8X)/56]T = X
[X(7+8)/56]T = X
Divide both sides by X
[(7+8)/56]T = 1
(15/56)T = 1
T = 56/15
T = 3.7 hours
if u download photomath and take a picture of each problem it will give u a solution to each problem along with the steps of how they got that answer
Answer:
B. 16 feet
Step-by-step explanation:
Hope it helped!
Given <span>20 yards for $30.00, unit rate = $30 / 20 yards = $1.5 per yard
Given 40 yards for $45.00, unit rate = $45 / 40 yards = $1.13 per yard
Given 50 yards for $70.00, unit rate = $70 / 50 yards = $1.4 per yard
Given 65 yards for $85.00, unit rate = $85 / 65 yards = $1.31 per yard
The best deal is the cheapest rate which is 40 yard for $45.00
</span>
Answer: C. 13,839 (the answer is not among the given options, however the result is near this value)
Step-by-step explanation:
The exponential decay model for Carbon-
14 is given by the followig formula:
(1)
Where:
is the final amount of Carbon-
14
is the initial amount of Carbon-
14
is the time elapsed (the value we want to find)
On the other hand, we are told the current amount of Carbon-14 is 
, assuming the initial amount of Carbon-14 is 
:
(2)
This means: 
(2)
Now,finding from (1):
(3)
Applying natural logarithm on both sides:
(4)
(5)
(6)
Finally:
This is the age of the paintings and the option that is nearest to this value is C. 13839 years
