Answer:
The area of the country is 17 square miles
Step-by-step explanation:
To calculate the population density of the country. We employ the use of a mathematical formula. This can easily be obtained from the units of the density
The population density = Population of the country/area of the country
Since we are to calculate the area of the country, the equation becomes
Area of country = Population of country/population density of country
Area of country = 4288/257
Area of country = 16.68 square mile
To the nearest square mile, the Area of the country = 17 square mile
Answer:
2 solutions
Step-by-step explanation:
I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...
__
To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:
3x(x -4) +5 -x -(2x -7) = 0
3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses
3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms
3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor
The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.
__
<em>Alternate method</em>
Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...
d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c
d = (-15)^2 -4(3)(12) = 225 -144 = 81
This positive value means the equation has 2 real solutions.
Answer:
2n-12=7n-15
Step-by-step explanation:
I hope i did it right im sorry if i didnt! in the first sentence it tells you "twelve less than" therefore its telling you that you are going to be subtracting which automatically means that its not going to be the first thing you write down. You then continue reading and it tells you "2 times a number (n)" which is written as 2n because to things side by side like that signifies that you are multiplying. Then you have your equal sign which is self explanatory. and basically you follow the same reasoning as you did the first part and you end up with 7n-15 and the other half of your equation. I hope that helped!
Answer:
x = 5
Step-by-step explanation:
20(20-x)=300
1. Divide both sides by 20.
20(20-x)/20 = 300/20
2. Simplify.
20-x=15
3. Subtract 20 from both sides.
20-x-29=15-20
4. Simplify.
-x=-5
5. Divide both sides by -1.
-x/-1 = -5/-1
6. Simplify.
x=5
Answer:
no i cannot
Step-by-step explanation:
