Answer: t is less than or equal to 7.
Step-by-step explanation:
6t - 3 is less than or equal to 39.
Add 3 to both sides.
6t is less than or equal to 42.
Divide by 6.
t is less than or equal to 7.
65+55=120
120÷2=60
So, it take them 60mins if they worked together.
Answer:
A princess is stuck at the top of a tower that is 20 ft tall. To get down she shoots an arrow with rope attached into the ground and it lands 15 ft away from the tower. how long is the rope to safely guide her onto the ground.
Step-by-step explanation:
using the Pythagorean theory which is a squared plus b squared equals c squared you will see that 20 squared plus 15 squared will equal 625. Once you have that answer you find the square root of 625 which will give you your overall answer of 25.
The second one:
3^7 x 3^(86/10) x 3^(9/1000)
That is because when you multiply powers with the same base ( in this case they are all 3), you just leave the base as it is and add the exponents
so it is basically 3^(7 + 86/100 + 9/1000) which is 3^7.869
Answer:
At least 401 chosen guests
Step-by-step explanation:
Represent those with same birth day with Same
So:
Represent number of people with n
There are 365 days in a year and 364 days out of these days is not your birthday.
So, there the probability that n people do not share your birthday is 
i.e.
Solving further, we have that:
We're calculating the probability that .
So, we have:
Collect Like Terms
Take natural logarithm (ln) of both sides
Apply laws of logarithm
Multiply through by -1
Solve for n
Reorder
(approximated)
This implies that n = 401, 402, 403 .....
i.e
So, at least 401 people has to be invited
