Answer:
10 and 12
Step-by-step explanation:
let the consecutive even integers be n and n + 2 , then
n² - 64 = 3(n + 2) ← distribute parenthesis
n² - 64 = 3n + 6 ( subtract 3n + 6 from both sides )
n² - 3n - 70 = 0 ← in standard form
(n - 10)(n + 7) = 0 ← in factored form
Equate each factor to zero and solve for n
n - 10 = 0 ⇒ n = 10
n + 7 = 0 ⇒ n = - 7
Since n must be a positive even integer then n = 10 and n + 2 = 10 + 2 = 12
The 2 numbers are 10 and 12
This would be in a Venn Diagram in the Integers
18,000.00.This is the answer
Answer:
The correct answer is 3 × 5 + 3 × 7 + 6 × 7 = 78 square feet.
Step-by-step explanation:
Measures of Chad's window is 36 inches by 60 inches = 3 feet by 5 feet.
Area of the window is 15 square feet.
Measures of Chad's door is 36 inches by 84 inches = 3 feet by 7 feet.
Area of the door is 21 square feet.
Measures of Chad's closet is 72 inches by 84 inches = 6 feet by 7 feet.
Area of the closet is 42 square feet.
Equation to show the total area of window, door and closet is 15 + 21 + 42 = 78 square feet.
Answer:
x + y = 125
3.50x + 2.25y = 347.50
53 rolls
Step-by-step explanation:
System of equations
so basically if we say that rolls are represented by x and wrapping paper is represented by y, we can say x plus y is 125 because there are a total of 125 rolls and packages. if each roll is 3.50 and each package is 2.25, we can just put each number in front of the corresponding variable to show that each one is worth that amount, and they total to 347.50. then you have to solve the system of equations. so if you solve for x in the first equation, x = 125 - y. so plug that in to the next equation, 3.50(125 - y) + 2.25y = 347.50. solve for y and you get 72.
but y is the number of packages, and we want the number of rolls. there are 125 rolls and packages, so 125 minus the 72 packages and you get 53 rolls
