3. 8+5
4. 2x - 8
Step-by-step explanation:
3. for example : 5 more than the number means
x+5 so that's how we get the answer as 8+5
4. This can be explained in two folds firstly, for example: 2 less than the number means x-2.
secondly;7 times the number means 7x so therefore we get our final answer as 2x - 8
taking 2 to the other side ⇒
= 5 x 2
3x=10
taking 3 to the other side ⇒ x =
x = 3.34
Answer:
- b ≤ 10, which means <em>number of books less than or equal to 10.</em>
Explanation:
In mathematical language a<em> constraint</em> is a limitation on the values that a variable can take.
In this case, the constraint is given by the fact that there are 10 books in the reading list from which Henry can choose to read this week.
So, the number of books that he can read is 1, 2, 3, ..., 10 (at most). This is, 10 books is an upper bound.
To represent an upper bound, you use the inequality symbol ≤, which means less than or equal to.
Henry can read as many as 10 books, so that is less than or equal to 10.
If you call b the number of books, the constrain may be written as:
constraint is a condition of an optimization problem that the solution must satisfy. There are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. The set of candidate solutions that satisfy all constraints is called the feasible set.[1
Answer:
60 lb
Step-by-step explanation:
Represent the weights of the dogs by P and C. Then P = 3C.
Then P + C = 80, or, after substitution of 3C for P,
3C + C = 80, or
4C = 20, so that C = (20 pounds)
Paula's dog weighs 3 times as much as Carla's: P = 3(20 lb) = 60 lb
