Answer:
Constant of proportionality should be 48.
Step-by-step explanation:
Given that a small pie factory needs to ship 360 pies a day to stay profitable. 180 pies are baked every 3 hours. Of the baked pies, 20% go directly to freezer storage and 80% are loaded on a truck for delivery.
Now we need to find about what is the constant of proportionality for the number of pies baked and loaded on a truck for delivery.
Number of baked pies = 180
Number of pies loaded on truck for delivery = 80% of baked pies
= 0.80(180)= 144 in 3 hours.
So number of pies loaded per hour = 144/3= 48
Hence constant of proportionality should be 48.
Answer:
$52.50
Step-by-step explanation:
To find the total cost, we need 105% of $50. Multiply;
$50 × 1.05 = $52.50
The total cost is $52.50
Answer:
Step-by-step explanation:
<span>3[2(6 + 4)-8]+8÷2
Inner most bracket (6 + 4):
= </span><span>3[2(10)-8]+8÷2
Multiplication within the bracket (2(10)):
</span>= 3[20-8]+8÷2
Bracket (20 - 8):
= 3[12]+8÷2
Multiplication (3(12)):
= 36+8÷2
Division (8÷2):
= 36+4
Add (36 + 4):
=40
Answer: 40
The drawing seems to suggest that angles BFA, AFE and EFD span a straight angle, just like angles BFC and CFD
This means that you have

But we know that both BFA and EFD measure 70 degrees, so the equation becomes
![[tex]70+AFE+70=180 \iff AFE + 140 = 180](https://tex.z-dn.net/?f=%20%5Btex%5D70%2BAFE%2B70%3D180%20%5Ciff%20AFE%20%2B%20140%20%3D%20180)
So, if you subtract 140 from both sides, you have
