Answer:
1. 49a^6b^10
2. −81a^8b^2c^2
Step-by-step explanation:
N/A
Answer: x + 12 = 3x + -22
12 + x = 3x + -22
Reorder the terms:
12 + x = -22 + 3x
Solving
12 + x = -22 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
12 + x + -3x = -22 + 3x + -3x
Combine like terms: x + -3x = -2x
12 + -2x = -22 + 3x + -3x
Combine like terms: 3x + -3x = 0
12 + -2x = -22 + 0
12 + -2x = -22
Add '-12' to each side of the equation.
12 + -12 + -2x = -22 + -12
Combine like terms: 12 + -12 = 0
0 + -2x = -22 + -12
-2x = -22 + -12
Combine like terms: -22 + -12 = -34
-2x = -34
Divide each side by '-2'.
x = 17
Simplifying
x = 17
Answer:
daw
Step-by-step explanation:
is the inequality that describes this problem
<h3><u>Solution:</u></h3>
Given that Travis can spend no more than $125.75 every month
To find: linear inequality that describes the problem
Let the amount spent on movies = x dollars
Given that Travis decided to spend 4.3 times as much money on video games as he spends on movies
Amount spent on video games = 4.3 (amount spent on movies)
Amount spent on video games = 4.3x
Travis can spend no more than $125.75. That is, he can spend less than or equal to $125.75
<em><u>Thus, the inequality representing the situation is:</u></em>


Thus the required inequality is found
Answer:
Randy is 48 years old
Sandy is 12 years old
Todd is 27 years old
<em></em>
Step-by-step explanation:
Given
Represent their ages with the first letters of their names:



Required
Determine their individual ages
We'll solve the above equations using substitution method of simultaneous equations
Substitute 15 + S for T and 4 * S for R in 
This gives:


Collect Like Terms


Divide through by 6


<em>This implies that Sandy is 12 years old</em>
Substitute 12 for S in
and 




<em>This implies that Randy is 48 years old and Todd is 27</em>