Let's create expressions and equations to model this situation. Let Anthony's age be a.
"Jim is 3 times as old as his cousin, Anthony." Jim's age is 3a.
"The difference in their age is 18." 3a - a = 18
How old is Jim?
Let's solve the above equation for a to first find Anthony's age.
3a - a = 18
2a = 18
a = 9
Remember, Jim's age is represented by the expression 3a. Substitute Anthony's age, 9, into the expression to find Jim's age.
3a
3(9)
27
Answer:
Jim is 27 years old.
We are asked to determine the area of the given figure. To do that we will divide the figure into a square and a triangle. The area of the square is the product of its dimension, therefore, the area is:
The area of the triangle is given by the following formula:
Where "b" is the base and "h" is its height. Replacing the values:
The total area is the sum of both areas:
replacing the areas:
Answer:
1000
Step-by-step explanation:
x = 1, y = -1, and z = 2
Answer: the total square footage is
850 ft³
Step-by-step explanation:
The kitchen is 10 feet by 15 feet. This means that the volume of the kitchen would be
10 × 15 = 150 ft³
The living/dining combo is 20 feet by 25 feet. This means that the volume of the living/dining combo would be
20 × 25 = 500 ft³
The office and sunroom are each 10 feet by 10 feet. This means that the volume of the office would be
10 × 10 = 100 ft³
Also, the volume of the sunroom would be
10 × 10 = 100 ft³
Therefore, the total square footage is
150 + 500 + 100 + 100 = 850 ft³
