Simplifying
10 + 5x = 5x + 10
Reorder the terms:
10 + 5x = 10 + 5x
Add '-10' to each side of the equation.
10 + -10 + 5x = 10 + -10 + 5x
Combine like terms: 10 + -10 = 0
0 + 5x = 10 + -10 + 5x
5x = 10 + -10 + 5x
Combine like terms: 10 + -10 = 0
5x = 0 + 5x
5x = 5x
Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x
Combine like terms: 5x + -5x = 0
0 = 5x + -5x
Combine like terms: 5x + -5x = 0
0 = 0
Solving
0 = 0
Answer: 0 solutions
A+s=496
s=496-a
and we are also told that:
s=3a
Since s=s we can say:
3a=496-a add a to both sides
4a=496 divide both sides by 4
a=124
So 124 adult tickets were sold.
Answer:
2.5 cm
Step-by-step explanation:
The volume of a triangular prism is cross section × length.
The cross section area is the triangle area. The triangle length is 4 cm, the height is not given. The length of the triangular prism is 7cm.
4 × h × 1/2 × 7 = 35
14h = 35
h = 35/14
h = 5/2
The height of the triangular cross section is 2.5 cm.
Answer:

Step-by-step explanation:
We are given the following information in the question:
"Citizens less than 18 years old are not allowed to vote"
We define a variable x such that x represents the age of citizens.
We have to write a relationship with the help of an inequality for the ages of citizens who are not allowed to vote.
Citizens less than 18 are not allowed to vote.
So x should be less than 18.
This can be written as:

is the required inequality for the ages of citizens who are not allowed to vote.