Answer:
After 4 days, the number of people attending both conferences be the same.
Step-by-step explanation:
We are given the following in the question:
Maths conference:
Number of people already signed = 7
Number of people who sign up each day = 2
Thus, the number of people who will sign up for maths conference in x days will be given by the linear function:

History conference:
Number of people already signed =11
Number of people who sign up each day = 1
Thus, the number of people who will sign up for maths conference in x days will be given by the linear function:

Both conference will have same number of people when

Thus, after 4 days, the number of people attending both conferences be the same.
Multiply both sides by -3 to get rid of the negative and the fraction.
X - 3 = 21
Move the constants over to isolate the variable
X = 24
1) addition property , you add the -3 over
2) division property , you divide by 6x
3)multiplication property , multiply the 3 by 5 to solve for x .
Answer:
m∠E=57°
Step-by-step explanation:
∠FDE=∠FED=(4x+1)° (base angles of isos triangle)
2(4x+1)+(5x-4)=180 (angle sum of triangle)
8x+2+5x-4=180
13x-2=180
13x=180+2
=182
x=182÷13
=14
Hence, m∠E = (4x+1)°
= [4(14)+1]°
= (56+1)°
= 57°