waifuhaditallte
Step-by-step explanation:
Like terms are those terms, which have the common variable with same powers.
The number of like terms in the given expression are 3, which is
. the option 3 is the correct option.
<h3>What is like terms?</h3>
In the algebra or the algebraic expression the like terms are those terms, which have the common variable with same powers.
Given information-
The given expression in the problem is,
![14 x -14 y+ 7 - x+ z+ 2 x](https://tex.z-dn.net/?f=14%20x%20-14%20y%2B%207%20-%20x%2B%20z%2B%202%20x)
The given expression is the algebraic expression which 3 number of unknowns variables.
There is total 6 terms in the given expression. In which 5 terms consists the variables and one term is constant.
In the given expression,
- The total number of terms with variable x are 3 which are,
.
- The total number of terms with variable y is 2 which is
.
- The total number of terms with variable z is 1 which is
.
- The total number of constant terms is 1 which is 7.
Thus the number of like terms in the given expression are 3, which is
. the option 3 is the correct option.
Learn more about the like terms here;
brainly.com/question/1779134
Answer:
- 8 small houses; 0 large houses
- 80 small houses; 0 large houses
Step-by-step explanation:
a) The maximum number of houses Sam can build in 24 hours is 8, so the constraint is in construction, not decoration. For each small house Sam constructs, he makes $10/3 = $3.33 per hour of work. For each large house Sam constructs, he makes $15/5 = $3.00 per hour. The most money is to be made by building only small houses.
Sam should make 8 small houses and 0 large houses in 24 hours.
__
b) If Sam works 8-hour days, then he can complete at most 80 small houses. The constraint remains in construction, so the answer is the same: build only small houses.
_____
If Sam works more than 16 2/3 hours per day, he can build 100 large houses or more, so the constraint moves to decoration. The decorator makes more money by decorating large houses, so all the effort should go to construction of large houses.
If Sam works between 10 and 16 2/3 hours per day, the best revenue will come from some mix. The problem statement is unclear as to how many hours Sam works in 30 days.
Answer:
-32
Step-by-step explanation: