Answer:
-2.5
Since he already has saved more money than he needs its going to be a negative.
Step-by-step explanation:
1. Create a equation
a. The equation must equal 240 because we know that is the total Jack is saving for
b. He already has 260$ so we must add it within the equation
c. We add 8x because we know he gets 8$ a week but since we dont know how many weeks we will use the variable x
8x + 260 = 240
2. Get x by itself. Do this by subtracting 260 to both sides of the equal sign
8x= -20
3. Divide 8 to both sides of the equal sign
x=-2.5
Answer:
a) Check Explanation
b) α = - 0.32 rad/s²
Step-by-step explanation:
a) The first drop rises higher than the second drop because the speed of the tire has reduced from what it was during the first turn to a lower value during the second turn. This will most likely be due to how bicycle tires are set up, plenty frictional elements to tamper and reduce the speed of the bike until it is pedalled again.
Note that the speed with which the drops of water rise are both equal to the corresponding tangential speeds of the tire at those points in time. And since the tangential speed of the tire reduces in between turns, the height travelled by the drops too, reduces.
b) To calculate the angular acceleration for the two cases.
The kinetic energy of the drops of water while on the tire is converted to the energy used to attain the respective heights that they attain.
(1/2)mv² = mgh
v = √(2gh)
For the first drop
h₁ = 54.0 cm = 0.54 m
r = 0.381 m
v₁ = √(2gh₁)
v₁ = √(2×9.8×0.54) = 3.253 m/s
w₁ = (v₁/r)
w₁ = (3.253/0.381) = 8.538 rad/s
For the second drop
h₂ = 51.0 cm = 0.51 m
r = 0.381 m
v₂ = √(2gh₂)
v₂ = √(2×9.8×0.51) = 3.162 m/s
w₂ = (v₂/r)
w₂ = (3.162/0.381) = 8.300 rad/s
Using the equations of angular motion,
w₂² = w₁² + 2αθ
θ = 2π
8.3² = 8.538² + 4π (α)
α = -0.32 rad/s²
Negative because it is angular deceleration
Hope this Helps!!!
Answer:
7 games
Step-by-step explanation:
Ricardo has 2 cases with x number of games in each. This means 2x is the amount of video games in both. He gives away 4. He now has 2x-4 and has 10 left. This is 2x-4=10. Solve for x.
2x - 4 = 10
2x = 14
x=7