Morley cunningham computed the unit price of an 8-count package of hamburger buns and found them to be $0.03 more per bun than the unit price of a 10-count package. if the 8-count package costs $0.45 less than the cost of the 10-count package, find the cost of the 10-count package.

Let the cost of each bun in 8 count package is x and the cost of each bun in 10 count package is y.

It is given that the unit price of an 8-count package of hamburger buns is $ 0.03 more than the unit price of a 10-count package. So we can write the equation:

x = y + 0.03           (1)

The 8-count package costs $0.45 less than the cost of the 10-count package. We can write this in equation as:

8x = 10y - 0.45     (2)

Using the value of x from (1) in equation (2) we get:

8(y + 0.03) = 10y - 0.45

8y + 0.24 = 10y - 0.45

0.24 + 0.45 = 10y - 8y

0.69 = 2y

y = $ 0.345

This means the unit price of 10 count package of hamburger buns is $ 0.345. So the cost of entire pack will be 10 x 0.345 = $ 3.45 

Thus, the cost of 10-count package is $3.45

The american colonies would have been ruled by a king.

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )