Answer:
10
Step-by-step explanation:
deoends how many pieces each pizza has. if it has 8 pieces each it would be 8×5=40
(1 lb 6 oz) + (1 lb 4 oz) + (12 oz) = 2 lb 22 oz.
16 oz = 1 lb, so the quantity (1 lb - 16 oz) evaluates to zero. This lets us rewrite the sum as (2 lb + 22 oz) +(1 lb - 16oz) =
3 lb 6 oz
Answer:
The fan = x = 400
The heater = y = 3600
Step-by-step explanation:
Let the cost price of
The fan = x
The heater = y
Aaya bought a fan and a heater for Rs 4,000.
x + y = 4000
x = 4000 - y
He sold the fan at a profit of 25%
25% × x = 0.25x
And the heater at a loss of 5%.
5% × x = 0.05y
If he gained 7% on his total outlay, at
Hence:
0.25x + 0.05y = 7% × 4,000
0.25x + 0.05y = 280
Note:
x = 4000 - y
Hence:
0.25(4000 - y) + 0.05y = 280
1000 - 0.25y + 0.05y = 280
Collect like terms
-0.25y + 0.05y = 280 - 1000
-0.20y = -720
y = -720/0.20
y = 3600
x = 4000 - y
x = 4000 - 3600
x = 400
Hence, the price that he bought each item is given as:
The fan = x = 400
The heater = y = 3600
Answer:
B(-6, 0)
Step-by-step explanation:
You want to find B such that ...
(B -A) = (3/4)(C -A) . . . . the required distance relation
4(B -A) = 3(C -A) . . . . . . multiply by 4
4B = 3C +A . . . . . . . . . . add 4A, simplify
Now, we can solve for B and substitute the given coordinates:
B = (3C +A)/4 = (3(-6, -2) +(-6, 6))/4 = (-24, 0)/4 = (-6, 0)
The coordinates of point B are (-6, 0).
Answer:
a) is demonstrated below, b) T=1.462N, c) T=14.6N
Step-by-step explanation:
a) Refer to the attached diagram.
Since the bird is standing in the middle of the line and each half is a straight line, Ta=Tb, so we will call the tension T=Ta=Tb and Tay=Tby
By trigonometry Tay=Ta·Sinθ
Since the system is in equilibrium W=Tay+Tby then:
W=2·Tay=2·Ta·Sinθ=2·T·Sinθ
Since W=mg, being m the mass of the bird and g, gravity:
Isolating T, we demonstrate that
b) Replacing θ=5º, m=0.026kg and g=9.8m/s² in the last equation, we can get the tension in Newtons:
c) With θ=0.5º