Answer:
Andrew must run 1 5/12 Laps to complete the race.
Step-by-step explanation:
Total lap run by Michael, Nate, Ben, and Andrew = 4 laps
laps run by Michael = 1 1/3 laps =(3+1)/3 = 4/3 laps
laps run by Nate =1/2 laps
laps run by ben =3/4 laps
Let laps run by Andrew = x
therefore
laps run by Michael + laps run by Nate + laps run by ben + laps run by Andrew = 4 laps
4/3 + 1/2 + 3/4 + x = 4
LCM of 3,2 and 4 is 12
=> (4*4 + 6*1 + 3*3+12x)/12 = 4
=> (16+6+9+12x)/12 = 4
=> 31+12x = 12*4 = 48
=> 12x = 48-31= 17
=> x = 17/12 = 1 5/12
Thus, Andrew must run 1 5/12 Laps to complete the race.
First you distribute the -12 to the (x+5) getting 144=-12x-60.
Next you add 60 to each side getting 204=-12x
Then you divide each side by -12 getting -17=x, which is the answer.<span />
Answer:
| 10 -10 1 |
| 1 -2 -4 |
| -8 13 -24|
Step-by-step explanation:
First multiply each element in matrix A, this gives:
| -6 - 2 -3 |
| 1 -6 -4 |
| -4 5 0 |
Now we multiply each element in matrix B by 4, this gives:
| -16 8 -4 |
| 0 -4 0 |
| 4 -8 24 |
Finally subtract this from the first matrix ( subtracting element by element) gives:
| 10 -10 1 |
| 1 -2 -4|
| -8 13- 24|
Seems to be aritmetic
an=a1+d(n-1) is aritmetic
a1=fist term
d=comon difference
n=which term
a4-a2=2d where d is the common difference
26-14=12
12=2d
6=d
so
a2-6=a1
14-6=8
an=8+6(n-1)
expand
an=8+6n-6
an=6n+2
3rd option
