Answer:
2x + 8 = 12
x = 2
4x = 2 = 10
Step-by-step explanation:
X/10 = 10/4x
4x^2 = 100
x^2 = 25
x = 5
answer
5 units
First of all, let's explain the term
relation. Many everyday phenomena involve two quantities that can be related to each other by some rule of correspondence. In mathematics the term for such a rule of correspondence is called
relation. Relations are often represented by mathematical equations and formulas.
Suppose you have a set A and a set B, so if a relation assigns to each element

in the set A exactly one element

in the set B, then the function

is in fact that relation.
To solve this problem, you must name a variable, create expressions representing the parts of the problem, and then set up an equation.
Let Tim's age today be t. Since Tim's mom's age five years ago was 3 times Tim's current age, Tim's mom's current age is equal to 3t + 5.
Their ages are collectively 45, so Tim's age t and Tim's mom's age 3t + 5 must be equal to 45. Set up an equation and solve for the variable t.
45 = t + (3t + 5)
45 = t + 3t + 5
45 = 4t + 5
40 = 4t
10 = t
Tim is currently 10, and after plugging 10 for t into 3t + 5, we see that Tim's mom is 35.
Now let's check our work. Their combined ages are 45; 10 plus 35 is equal to 45, so that is correct. Further, addressing the "Five years ago, Tim's mom was three times Tim's age today" bit, we see that 10 - Tim's current age - times 3 is equal to 30, which would be Tim's mom's age 5 years ago.
Answer:
Today, Tim's mom is 35.
Answer:
x = 1
Step-by-step explanation:
Answer:f(x) is the total number of miles he runs during each month. He starts with 0.5 miles and adds (+) 2 miles each month. Therefore, x must be the number of months. For example, month 1 (x) he runs 2.5 miles: 2.5 = 0.5 + 2(1); x=1.