Answer: it will take a combined rate of 2.67 hours
Step-by-step explanation:
Father can do the job on the farm in 6 hours. This means that the father's unit rate of working will be 1/6
The older son can do it in 8 hours. This means that the older son's rate of working will be 1/8
The younger son can do same job in 12 hours. This means that the younger son's working rate is 1/12
When they work together, they will be working simultaneously. It means that their unit rates are additive. The combined unit rates will be
1/6 + 1/8 + 1/12 = (20 + 15 + 10)/120
45/120
Assuming it takes t hours for them to complete the work while doing it together. Their combined unit rate will be 1/t
45/120 = 1/t
45t = 120
t = 120/45 = 2.67 hours
Answer:
2
Use the prime factorization:
7 * 5 * 1 = 35
7 * 5 * 2 = 70
Answer:
1.3°F * 10 = 13°F
10.2°F
Step-by-step explanation:
Given that:
Temperature on the ground = - 2.8°F
Change in temperature per 1000 ft rise = 1.3°F
Change in temperature after the plane ascends 10000 ft
Change in temperature per 1000ft rise * (10000/1000)
1.3°F * 10 = 13°F
B.) Temperature at 10,000 feets
Temperature on ground + change in temperature at 10,000ft
-2.8°F + 13°F
= 10.2°F
Let x represent amount invested in the higher-yielding account.
We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be 
.
We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.
, where,
I = Amount of interest,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
We are told that interest rates are 6% and 10%.
Amount of interest earned from lower-yielding account: 
.
Amount of interest earned from higher-yielding account: 
.
Let us solve for x.
Therefore, the man invested $30,000 at 10%.
Amount invested in the lower-yielding account would be 
.
Therefore, the man invested $60,000 at 6%.
