Answer:
1.6-5 2. 42 3. 36/66
Step-by-step explanation:
Answer:
The cost of producing the article is -3500 (Negative cost)
Step-by-step explanation:
The given parameters are
The ratio of the profit to material cost to production labor = 5:7:13
The amount of the material cost = 840 + Labor cost
Let the total cost = X
Therefore, we have;
The fraction of the total cost that is material cost = 7/(5 + 7 + 13) = 7/25
Therefore, the material cost = 7/25 × X
The fraction of the total cost that is labor cost = 13/(5 + 7 + 13) = 13/25
Therefore, the labor cost = 13/25 × X
However, the amount of the material cost = 840 + Labor cost, which gives;
7/25 × X = 13/25 × X + 840
7/25 × X - 13/25 × X = 840
-6/25 × X= 840
X = 840/(-6/25) = 840×(-25/6) = -3500
The cost of producing the article = -3500.
Answer:
Approximately 42 times larger
Step-by-step explanation:
The diameter of a sphere is 2,160 mm.
The diameter of a second sphere is 7,520 mm.
To see how many times larger is the diameter of second sphere is than the diameter of the second sphere, we divide to get:


To see how many times larger the volume is, we cube both sides

This implies that

Therefore the volume of the second sphere is approximately 42 times larger
Answer:
They would get 12oz of soup
Step-by-step explanation:
First, you would do 16x6 because you want to find the total amount of soup you have.
Next, after finding how much you have in total 96oz you then divide by how many people in this case is 8 then you get your answer.
Answer with Step-by-step explanation:
We are given that:
tanA = 0.45
tanA= 
= 
⇒
=0.45
⇒
=
⇒
=
⇒ AC= 20
Hence, by pythagoras theorem
AB²=AC²+BC²
AB²=20²+9²
AB²=481
⇒ AB=21.9 units
Hence, the approximate length of AB is:
22 units