Answer:
14
Step-by-step explanation:
The product of two consecutive odd numbers equals 55 plus ten times the even number which is between them. Find the even number.
Let the two odd consecutive integer be x and x+2
Let the even number between then be x+1
If the product of two consecutive odd numbers equals 55 plus ten times the even number, then;
(x)(x+2) = 55 + 10(x+1)
Expand
x² + 2x = 55 + 10x + 10
x² -8x -65 = 0
x² - 13x+5x - 65 = 0
x(x-13)+5(x- 13) = 0
(x-13) (x+5) = 0
x = 13 and -5
Since the even number is x + 1
Even number = 13 + 1 = 14
Standard form is Ax + By = C. We need to subtract 11y. This gives us 8x + 11y = 24.
The standard form of 8x = -11y + 24 is 8x + 11y = 24.
Answer:
15
Step-by-step explanation:
The Pythagorean's Theorem states that a^2 + b^2 = c^2, so 81 + 144 = 225, and 225 square rooted is 15.
Answer:
y₁=x₁+0.04x₂
y₂=x₂+0.06x₁
Step-by-step explanation:
In the first year, number of people who live:
In the city= x₁
In the suburb=x₂
New Population in the next year
In the city= y₁
In the suburb=y₂
If each year 6% of the city population moves to the suburb,
New Suburb Population=Previous Population+Immigrants
y₂=x₂+0.06x₁
If each year 4% of the suburb population moves to the city,
New City Population=Previous Population+Immigrants
y₁=x₁+0.04x₂
y₁=x₁+0.04x₂
y₂=x₂+0.06x₁
