<h2>Systems of Equations Word Problems</h2>
To solve these questions, we can translate key words into operations.
- <em>Older</em> = add
- <em>Less</em> <em>than</em> = subtract
<h2>Solving the Question</h2>
We're given:
- Carlos' age is 5 less than 3 times his brother's age
- Carlos' age is 11 years higher than his brother's age
There are two variables present in this problem: Carlos' age and his brother's age.
- Let Carlos' age equal <em>x</em>
- Let his brother's age equal <em>y</em>
Translate the given information into equations:
- Carlos' age is 5 less than 3 times his brother's age
⇒ 
- Carlos' age is 11 years higher than his brother's age
⇒ 
We can solve for <em>y</em>, his brothers age, using substitution:

Now, solve for <em>x</em> by substituting <em>y</em> in either of the equations:

Therefore, Carlos is 19 years old.
<h2>Answer</h2>
Carlos is 19 years old.
Answer:
D.347.45cm²
Step-by-step explanation:
The formula to find the surface area of a rectangular prism is:

Let's break down our variables:
Length = 11.73cm
Width = 9.08cm
Height = 3.23cm
Let's substitute the values:



cm²
Here u go for f(x) = (x+2)2 (x-1) (x-3)2
Answer:
Anneliese needs
cups of butter to make
of the recipe for cookies.
Step-by-step explanation:
According to the statement, a recipe for cookies require
cup of butter and the amount of butter required to prepare
of the recipe is determined by the following simple rule of three:


Anneliese needs
cups of butter to make
of the recipe for cookies.
Answer:
2) slant height=15
surface area=
Step-by-step explanation:
x 

81+144
=225

=15