Answer:
1
Step-by-step explanation:
Answer: 7(3m - 7n)
<u>Step-by-step explanation:</u>
Factor each term then see what value(s) they have in common:
21m - 49n
∧ ∧
3 · 7 · m 7 · 7 · n
Both terms have a 7 in common. What is left over after removing the 7?
21m: 7(3m)
49n: 7(7n)
GCF: 7 Leftovers: 3m <em>and</em> 7n
Factored form of expression is: 7(3m - 7n)
Answer:
and
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the equilibrium solutions
We have:
To solve this, we first equate and to 0.
So, we have:
Factor out R in
Split
or
or
Factor out W in
Split
or
Solve for R
Make R the subject
When , we have:
Collect like terms
Solve for W
When , we have:
Collect like terms
Solve for R
So, we have:
When , we have:
So, we have:
Hence, the points of equilibrium are:
and
Answer: The net weight of the pigs of the truck is 1 ton 868 pounds 12 ounces.
The weight of the empty truck is 7 tons 254 pounds 10 ounces.
Step-by-step explanation:
Since we have given that
The gross weight of a truck containing 30 pigs = 8 tons 1123 pounds 6 ounces
Average weight of one pig = 95 pounds 10 ounces
Now,
We know that
So,
Similarly,
So, Net weight of the pigs in the truck
So, the net weight of the pigs of the truck is 1 ton 868 pounds 12 ounces.
Now, we'll find the weight of the empty truck is given by
Hence, the weight of the empty truck is 7 tons 254 pounds 10 ounces .