Answer:
3/14
Step-by-step explanation:
Express the beds as a fraction of the total output.
Beds = 15
Total output = 30 + 25 + 15 = 70
Proportion that is beds = 15/70
15/70 = 3/14
Well you could divide 120 into 20 and get 6 so the length and width could be 20 as one and 6 as the other
(3x²-2x-4)(2x²+x-3)=3x²(2x²+x-3)-2x(2x²+x-3)-4(2x²+x-3)=
=6x⁴+3x³-9x²-(4x³+2x²-6x)-(8x²+4x-12)=
=6x⁴+3x³-9x²-4x³-2x²+6x-8x²-4x+12=
=6x⁴-x³-x²+2x+12
Answer:
The initial speed is approximately 104.3 km
Step-by-step explanation:
Let Distance = 240 km
Time = ?
Speed =
Since
Speed = Distance/Time
Distance = Speed × Time
When arrival is late:
240 = S×T
When arrival is on time:
240 = (S+5)×T2
But 40minutes = 2/3 hours
So,
T2 = T - 2/3
240 = (S+5)×(T - 2/3)
240 = ST - 2S/3 + 5T - 10/3
ST - 2S/3 + 5T = 240 + 10/3
S(T - 2/3) + 5T = 730/3
S(T - 2/3) = 730/3 - 5T
S = (730/3 - 5T)/(T - 2/3)
But 240 = ST
S = 240/T
240/T = (730/3 - 5T)/(T - 2/3)
(T - 2/3)/T = (730/3 - 5T)/240
1 - 2/3T = 730/720 - 5T/240
1 + 73/72 = (2/3 + 5/24)T
145/72 = (7/8)T
T = 145/72 × 8/7
= 1160/504
T = 145/63
S = 240/S
= 240×63/145
= 3024/29
≈ 104.3km
Value of x is 21
Step-by-step explanation:
- Step 1: Find x given that ∠NLW = 90° and is equal to 1/3(12x + 18)
⇒ 90 = 1/3(12x + 18)
⇒ 270 = 12x + 18
⇒ 252 = 12x
∴ x = 252/12 = 21