Answer:
stop telling people to do your homework on canvas!
Step-by-step explanation:
Answer:
200 sets of 10 can be ordered to complete the order of 2,000 cakes.
Step-by-step explanation:
Total numbers of cupcakes to be ordered = 2,000
The number of cupcakes in 1 set = 10
So, 
= 
or, Number of cupcake sets = 200
Hence, 200 sets of 10 can be ordered.
Answer:
Step-by-step explanation:
Cost = Area Cylinder body* cost * 0.03 cm^3 + Area of 2 lids*cost 0.06 of cm^3
Volume = 300 cm^3
Volume = Base *h
Volume = pi * r^2 * h = 300
h = 300/(pi * r^2 )
Area material = 2*pi * r * h * 0.03 + 2 pi r^2 * 0.06
Area material = 0.06*pi * r * 300/(pi* r^2) + 0.12 * pi * r^2
dmaterial/dr = (-1)18 r^-2 + 0.12 pi * 2*r
dmaterial/dr = -18 r^-2 + 0.24 pi * r
The minimum occurs when the right side = 0
18/r^2 = 0.24 *pi r
18 = 0.24*pi * r^3
18/(0.24 * pi) = r^3
23.89 = r^3
cube root (23.89) = cuberoot(r^3)
r = 2.88 cm
h = 300/pi * r^2
h = 300/(3.14 * 2.88^2)
h = 11.52
This isn't much of a check but we can try it.
Volume = 3.14 * 2.88^2 * 11.52
Volume = 302.01 which considering all the rounding is pretty close.
Here's a graph that confirms my answer.
Answer:
26
Step-by-step explanation:
We know that the entire angle measures 66 degrees.
Therefore, angle y plus 40 degrees must equal 66.
In an equation:

To solve for y, subtract 40 from both sides:

So, the measure of angle y is 26 degrees.
And we're done!
Answer:
27.91 pretzels.
Step-by-step explanation:
Knowing that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:
33 x 1/3 = 11
89 / 2.5 / 11 = X
35.6 / 11 = X
3.236 = X
3/4 = 0.75
3.236 x 1.5 x 5.75 = X
4.854 x 5.75 = X
27.91 = X
Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.