First use distributive property on -3(t+5), which would be -3t minus -15.
Then, add all like terms: -3t-15+4t+2 ---> -3t+4t+2-15 --> t-13.
t-13=8, add 13 to both sides. This cancels the -13 and makes 8 to 21.
Therefore, t=21
I think the answer is 1.First, find the least common denominator, which is 6. Then, multiply the numerator and denominator by the same number to get 6 as the denominator.
is multiplied by 6 to get
.
is multiplied by 3 to get
.
is multiplied by 6 to get
. Since
is closest to
, 1 is the answer. Hope this helps!
Answer:
W = 2747,1 [J]
Step-by-step explanation:
Chain is 64 meters long with mass 24 Kg
Then weight of the chain is p = 24 * 9.8
p = 235.2 [N] N = kg*m/s²
And by meter is 235,2 / 64 = 3.675
Total work has two component
- work to lift the 13 top meters of chain W₁
W₁ = ∫₀ᵇ F(y) dy
- work to lift last ( 64 - 13 ) meters 51 W₂
W₂ = 3.675 * 51 * 13 Kg m² /s² [J]
W₂ = 2436,53 [J]
We need to calculate W₁
W₁ = ∫¹³₀ mgy dy ⇒ W₁ = ∫¹³₀ 3,675 ydy
W₁ = 3,675* ∫¹³₀ ydy W₁ = 3,675* y²/2 |₀¹³
W₁ = 3,675* 84,5 [J]
W₁ = 310,54 [J]
And total work W
W = W₁ + W₂
W = 310,54 + 2436,53 [J]
W = 2747,1 [J]
Answer:
58
Step-by-step explanation:
As there are 12 teams in the league and each teams plays every other team twice per season. so, the total number of matches in the league will be 132.
let the matches won by home team = 'x'
given,
number of matches drawn = 34
matches won by the away team = x - 18
Now, according to the question,
⇒ total matches = matches drawn + matches won by home team + matches won by away team
⇒ 132 = 34 + x + x -18
⇒ x = 58
The first one x is greater than and equal to 34
