Step-by-step explanation:
.454 kilograms= 1 pound.
Multiply .454 by 160
4.54
160
--------
000
2724 0<--Place marker
45400<--Double Place Marker
- - - - - - - -
72640 <-- Add
To find decimal point, count decimal place (Number of digits after the decimal on both numbers you multiply together) In this case, it's 2 ( 5 and 4 in 4.54) So, you count two spaces from right to left in your answer and tah dah!
72.640 (Zero isn't needed- just a placemarker)
Hope I was helpful :)
6x + 2y = 24....subtract 6x from both sides
2y = -6x + 24...now divide both sides by 2
y = -6/2x + 24/2...now reduce
y = -3x + 12 <=== slope intercept form of y = mx + b
We are given with the mathematical expression <span>sinx=cos(48) and is asked in the porblem to determine the value of variable x. In this case, we solve first cos 48 which is equal to -0.64. to determine x, we use inverse sin, that is sin-1 (-0.64) = x; x= 42 degrees. x is equal also to 90-48 according to complementary postulate.</span>
The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let
be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be
. From this information we can gather that the cost function for this factory is,

On the other hand, if we let
be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,

Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that

The company has to sell 134 750 units to break even.