To solve this problem, we must set up a system of equations. In this case, let's let Maggie's age be represented by the variable m and her brother's age be represented by the variable b. We are told that the sum of their ages is 24, which gives us our first equation: m + b = 24. We can construct our next equation from the first sentence of given information: b = 2m - 3. This makes our system of equations:
m + b = 24
b = 2m - 3
To solve, we are going to substitute the value for b in terms of m given by the second equation into the first equation for the variable b.
m + b = 24
m + 2m - 3 = 24
To simplify, we must first combine the variable terms on the left side of the equation using addition.
3m - 3 = 24
Next, we should add 3 to both sides of the equation to get the variable term alone on the left side of the equation.
3m = 27
Finally, we should divide both sides by 3 in order to get the variable m alone.
m = 9
Therefore, Maggie is 9 years old (using the first equation and substituting in this value you can find that her brother is 15 years old).
Hope this helps!
A^3
a to the power of three
Answer:
y=3/2x+2
Step-by-step explanation:
Slope is 3/2, y intercept is 2
Divide the amount of commission made by the total sale, then multiply the decimal answer by 100 for the percent:
175 / 5212 = 0.03357
0.03357 * 100 = 3.357%
Round the answer as needed.
This is equivalent to finding a function g in which
.
We simply reverse the actions of the initial function by adding 81 back and taking the square root. Therefore,
.
