X² + y² = 225
x - 7y = -75
x = 7y - 75
x² + y² = 225
(7y-75)² + y² = 225
(7y - 75)(7y - 75) + y² = 225
49y² - 525y - 525y + 5625 + y² = 225
50y² - 1050y + 5400 = 0
50(y² - 21y + 108) = 0
y² - 21y + 108 ⇒ (y - 12)(y - 9)
x = 7(12) - 75
x = 84 - 75
x = 9 ⇒ (9,12)
x = 7(9) - 75
x = 63 - 75
x = -12 ⇒ (-12,9)
The total population in the region is 942000
<u>Step-by-step explanation:</u>
Radius of the region= 10 miles
Population density= 1500 per square mile
Area of the region = 2π(r x r)
= 2π(10 x 10)
=2(3.14) (100)
= 628 square miles
Population = 1500 x 628
= 942000
The total population in the region is 942000
$676.
If the sale price of the coat is $169, you are looking for the original price. I like to think about it in the sense that if an item is 75% off, you are paying 25% of the original amount. Using that logic, in order to determine the sale price you would use the equation
Original price * 25% = $169
To solve for the original price:
Original price = $169/.25 = $676.
Answer:
it would be a distance of 7 units
Step-by-step explanation:
Answer:
The answer is 25/24 or 1.041
Step-by-step explanation:
Given 5/6 and 5/8, you can't find the sum at that point. This means we will have to find a common denominator, which will be 24.
6 x 4 = 24 and 8 x 3 = 24
Doing this, you will have to multiply the numerator and denominator by the value the denominator needs to be multiplied by to get 24.
5/6 x 4/4 = 20/24 and 5/8 x 3/3 = 15/24
After getting these values, you can then add them.
20/24 + 15/24 = 25/24 or 1.041
