5/8
6/3
7/10
These are all the answers 4/8 is 1/2 and 5/8 is over it there is no half of 3 but 6/3 is 2 and 2 is a whole number it's over 1/2
5/10=1/2 and 7/10 is over it 1/4 isn't an answer because 2/4=1/2 6/12=1/2 but it says over 1/2 and finally 5/12 isn't it because like I said above 6/12 is 1/2
Answer:
$300
Step-by-step explanation:
- 150/12 to figure out how much to install one yard ($12.50)
- 24•12.50=300
The equivalence

means that n-5 is a multiple of 12.
that is
n-5=12k, for some integer k
and so
n=12k+5
for k=-1, n=-12+5=-7
for k= 0, n=0+5=5 (the first positive integer n, is for k=0)
we solve 5000=12k+5 to find the last k
12k=5000-5=4995
k=4995/12=416.25
so check k = 415, 416, 417 to be sure we have the right k:
n=12k+5=12*415+5=4985
n=12k+5=12*416+5=4997
n=12k+5=12*417+5=5009
The last k which produces n<5000 is 416
For all k∈{0, 1, 2, 3, ....416}, n is a positive integer from 1 to 5000,
thus there are 417 integers n satisfying the congruence.
Answer: 417
Answer:
-17x-1
Step-by-step explanation:
From the given information we can write the equation:
-16t^2 +96t + 4 = 112
-16t^2 + 96t + 4 - 112 = 0
-16t^2 + 96t - 108 = 0
simplify, change the signs, divide by -4
4t^2 - 24t + 27 = 0
You can use the qudratic formula but this will factor to
(2t-3)(2t-9) = 0
Two solutions
t = 3/2
t = 1.5 seconds at 112 ft on the way up
and
t = 9/2
t = 4.5 seconds at 112 ft on the way back down
Graphically, (green line is 112 ft)