Ok so first you will need 3 bags since 12*2 is 24 that wont be enough for the whole class so 12*3= 36 so now that we figured out how many bags we need now we have to multiply $8.00 by three the answer is $24
(7+x)+x=15
I did trial and error to get x=4.
Answer:
C
Step-by-step explanation:
(4x-5) - (3x-10) = ?
(4x-5) - 1 (3x-10) = ? DISTRIBUTE THE INVISIBLE -1 to (3x-10)
Turns into: 4x - 5 - 3x + 10
Which equals: x + 5
Answer:
(i)
time to bounce in one direction is 0.75 sec
(ii)
time to bounce in other direction is 1.5 sec
(iii)
total time is 2.25 sec
Step-by-step explanation:
Time to bounce in one direction:
we can see that height is increasing till t=0.75sec
so, time to bounce in one direction is 0.75 sec
Time to bound in other direction:
we can see that height is decreasing from t=0.75 to 2=2.25 sec
so, time to bounce in other direction is 2.25-0.75
=1.5 sec
Total time :
We know that
total time = (time to bounce in one direction)+(time to bounce in other direction)
now, we can plug values
total time =0.75+1.5=2.25 sec
Answer:
9 cm
Step-by-step explanation:
Since the container is a cylinder of base diameter d₁ = 12 cm and thus radius r = 12/2 = 6 cm. The water height is 8 cm. The initial volume of water is thus V₁ = πr²h = π × 6² × 8 = 288π cm³.
The sphere of diameter d = 6 cm has radius r₁ = 6/2 = 3 cm. Its volume V₂ = 4πr³/3 = 4π × 3³/3 = 36π cm³
Since the sphere displaces it own volume of liquid, the new volume V = V₁ + V₂ = 288π cm³ + 36π cm³ = 324π cm³
This is the new volume of water in the cylinder. Since the water level rises by h' cm and V = πr²h'
h' = V/πr²
= 324π cm³/π(6)²
= 324π cm³/36π cm²
= 9 cm
So, the water level is 9 cm above the base
