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.
In order to solve the given expression follow these steps:
1. Take the square roots on both sides in order to get rid of the power on the left side:
√(x-5)² = ±√3
x - 5 = ±√3
2. add 5 on both sides:
x-5 + 5 = 5 ±√3
x = 5 ±√3
Then, the solution is x = 5 ±√3
What is it??? there is no paper attached
Answer:
Adult ticket = $11
Children ticket = $9
Step-by-step explanation:
Let the price of adult tickets be x and let the price of children's ticket be y
For the first day, the equation of sales can be put as
3x + 12y = 141..........1
For the second day, the equation of sales can be put as:
13x + 6y = 197............2
We then take these two equations together and solve simultaneously.
3x + 12y = 141.......1
13x + 6y = 197........2
Solving by elimination method, we Multiply through equation 1 by 13 and multiply through equation 2 by 3.
39x + 156y = 1833.........3
39x + 18y = 591..............4
Then subtract equation 4 from equation 3
138y =1242
y = 9
Substitute "y=9" into equation 1 to find x
3x + 12(9) =141
3x + 108 = 141
3x = 141 - 108
3x = 33
x = 11
Hence,
Price of adult ticket = $11
Price of children ticket = $9
