Answer:
32º
Step-by-step explanation:
Fº-32 ×5/9
5/9Fº-160/9
5/9Fº =160/9
(5Fº)9=9(160)
45Fº=1440
divide both sides by 45
Fº=32
You can simply collect terms, subtract the constant and divide by the x-coefficient. It is generally considered easier to do those steps if you eliminate fractions first (multiply by 12).
Multiply by 12
... 4(x -1) +3(x +5) = 6
... 4x -4 +3x +15 = 6 . . . . . eliminate parentheses
... 7x +11 = 6 . . . . . . . . . . . .collect terms
... 7x = -5 . . . . . . . . . . . . . . subtract the constant 11
... x = -5/7 . . . . . . . . . . . . . divide by the x-coefficient
_ _ _ _ _ _ _
Here it is the other way.
... x(1/3 +1/4) +(-1/3 +5/4) = 1/2
... (7/12)x + 11/12 = 1/2 . . add the fractions to finish collecting terms
... x + 11/7 = 6/7 . . . . . . . multiply by 12/7
... x = -5/7 . . . . . . . . . . . subtract 11/7
At the third step here, you could subtract 11/12 before doing the multiply. You get the same answer, but you have to do the extra conversion of 1/2=6/12.
So,
If you do some simple division, you will find how much each cm costs in each cake.
20cm cake = 67.5 cents/cm
25cm cake = 93.75 cents/cm
Assuming that you cannot order fractions of cakes, the best deal would be to order 5 of the 20cm cakes.
Cost = 13.50 * 5 = $67.50
You will have to pay $67.50 for the cakes if you want the best deal.
Answer:
Step-by-step explanation:
Given that a rock is thrown vertically upward from the surface of an airless planet. It reaches a height of 
where t is expressed in seconds
The rock goes upto a height where the velocity becomes 0 and then it starts falling down by gravity
Velocity at time t = s'(t) = 
This becomes 0 when t =15 seconds
Hence at 15th second the rock starts falling and upto
s(15) =
metres high it goes
The time taken to reach highest point is = 15 seconds.