The factors of 7 are 7, 1.
The factors of 12 are 12, 6, 4, 3, 2, 1.
12*7=84
Answer:
60 guests
Step-by-step explanation:
We'll say that the number of guests is n.
We're looking for the n where both of these expressions are equal:
Company A (500 set-up fee, 25 for each guest)
500 + 25 * n
Company B (200 set-up fee, 30 for each guest)
200 + 30 * n
500 + 25n = 200 + 30n
Subtract 200 from both sides.
300 + 25n = 30n
Subtract 25n from both sides.
300 = 5n
We'll reverse the sides.
5n = 300
Divide both sides by 5.
n = 300/5 = 60
Thus, both companies are equal when n is 60, or when there are 60 guests.
The answer for f(x)-g(x) is
.The solution can be obtained by use of concept of functions.
<h3>What is a function?</h3>
A function, in mathematics, can be defined as an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).It useful in mathematical representation of scientific quantities.
We can perform addition and subtraction operations on functions.
The given function f(x) and g(x) are

The solution for f(x)-g(x) is
.
To know more about functions visit:
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Answer: The measure of angle A is 60 degree.
Explanation:
It is given that the Triangles A B E and D C E share vertex E. Angle B is 18 degrees. Angle C is 43 degrees. Angle D is 35 degrees.
According to angle sum property, the sum of angles of a triangle is always 180 degree.
In triangle CDE,





According to opposite vertical angle property.


Use angle sum property is triangle ABE.




Therefore, the measure of angle A is 60 degree.