(6y - 9) + (5 - 3y) have same result with 1/2(6y - 8)
(6y - 8) + (6 - 5y) and (6y - 12) - (5y - 10) have same result with 1/6(6y - 12)
(6y - 8) - (4y - 5) have same result with 1/3(6y - 9)
Explanation:
Left hand side:
(6y - 8) + (6 - 5y)
simplifying:
6y - 8 + 6 - 5y
y - 2
(6y - 9) + (5 - 3y)
simplifying:
6y - 9 + 5 - 3y
3y - 4
(6y - 12) - (5y - 10)
6y - 12 - 5y + 10
y - 2
(6y - 8) - (4y - 5)
6y - 8 - 4y + 5
2y - 3
Right hand side:
1/2(6y - 8) = 1/2 × 2(3y - 4) = 3y - 4
1/3(6y - 9) = 1/3 × 3(2y -3) = 2y - 3
1/6(6y - 12) = 1/6 ×6(y - 2) = y - 2
matching the expression:
(6y - 9) + (5 - 3y) have same result with 1/2(6y - 8)
(6y - 8) + (6 - 5y) and (6y - 12) - (5y - 10) have same result with 1/6(6y - 12)
(6y - 8) - (4y - 5) have same result with 1/3(6y - 9)
Given: Lateral Surface area=156m
Breadth=8m height=6m
⇒ L.S.A=2(bh+lh)=2(l+b)h
⇒156=2(l+8)h
⇒156=2(l+8)×6
⇒l+8=
12
156
=13
∴l=13−8=5m
Hence, length of the room=5m
Answer: 115.6
Step-by-step explanation:
Answer:
4,320ways
Step-by-step explanation:
We are given the following from the questions
Number of paintings = 9
Renaissance paintings= 6
Baroque paintings = 3
Since they are hanging from left to right and we will first hang Renaissance painting before baroque painting, hence;
For Renaissance painting, this can be done in 6! ways
6! = 6*5*4*3*2*1
6! = 720ways
Similarly for Baroque painting, this can be done in 3! ways
3! = 3*2*1
3! = 6ways
The total number of ways to hang the painting = 6!*3!
The total number of ways to hang the painting = 720 * 6
The total number of ways to hang the painting = 4,320ways
Hence there are 4,320ways to hang the paintings
Multiply the person's weight (9 stone) by the conversion factors (14 lb / 1 stone) and (1 kg / 2.2 lb). Please show your work.
