Answer:
For the problem we have:
Sam had 14 people at the party.
The party lasted for 4 hours.
He paid $2 for each person's skate rental and 3 for each person's entry ticket.
Suppose we want to know how much Sam spent on the party.
But we do not know if the $2 of the skate rental are per hour or per two hours, or in total, for example, if the amount is per hour, then the total amount for each skate is $2*4 = $8, so in the case that the rental depends on the time, we can not solve this problem because we do not have enough information.
If the $2 are fixed (do not depend on the time that the party lasted) then the fact that the party lasted for 4 hours does not matter.
We can calculate as 14 persons* ($2 + $3) each = 14*$5 = $70, then you can see that in this case the 4 hours data is not necessary
Step-by-step explanation:
let the number be a
so,
17+a
Answer: the 32nd term is - 3
Step-by-step explanation:
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 15.6
d = 15 - 15.6 = 14.4 - 15 = - 0.6
n = 32
The explicit formula for the arithmetic sequence is
Tn = 15.6 - 0.6(n - 1)
We want to determine the value of the 32nd term, T32. Therefore,
T32= 15.6 - 0.6 (32 - 1)
T32 = 15.6 - 18.6
T32 = - 3
The output is a ratio of sides of a triangle.
Answer:
r = 225 Mil/h speed of the airplane in still air
Step-by-step explanation:
Then:
d is traveled distance and r the speed of the airplane in still air
so the first equation is for a 4 hours trip
as d = v*t
d = 4 * ( r + 25) (1) the speed of tail wind (25 mil/h)
Second equation the trip back in 5 hours
d = 5 * ( r - 25 ) (2)
So we got a system of two equation and two unknown variables d and
r
We solve it by subtitution
from equation (1) d = 4r + 100
plugging in equation 2
4r + 100 = 5r - 125 ⇒ -r = -225 ⇒ r = 225 Mil/h
And distance is :
d = 4*r + 100 ⇒ d = 4 * ( 225) + 100
d = 900 + 100
d = 1000 miles
