In this question, we want to compare several numbers with different denominators and find out which number is the least. To compare this number, we have to change the denominator into the same number by finding the least common multiple (LCM) of the 4 numbers. The factor of each number will be:
3= 3 ^1
5= 5^1
8= 2 * 2 * 2 = 2^3
2= 2^1
We can find the LCM by multiplying a higher exponent of each prime number. The LCM will be:3^1 * 5^1 * 2^3 = 120
Each number will be:
Tiger= 2/3 * 40/40= 80/120
Redbird = 4/5 * 24/24= 96/120
Bulldogs = 3/8 * 15/15 = 45/120
Titans = 1/2 * 60/60 = 60/120
As you can see, the team with the lowest chance to play is Bulldogs = 45/120
Answer:
After population (A) = 62,902 (Approx)
Step-by-step explanation:
Given:
Current population (P) = 19613
Number of years (n) = 2020 - 2000 = 20 year
Rate of growth (r) = 6% = 0.06
Find:
After population (A)
Computation:
![After\ population (A) = Current\ population (P)[1+r]^n \\\\After\ population (A) = 19613[1+0.06]^{20} \\\\After\ population (A) = 19613[1.06]^{20} \\\\After\ population (A) = 62,901.548](https://tex.z-dn.net/?f=After%5C%20population%20%28A%29%20%3D%20Current%5C%20population%20%28P%29%5B1%2Br%5D%5En%20%5C%5C%5C%5CAfter%5C%20population%20%28A%29%20%3D%2019613%5B1%2B0.06%5D%5E%7B20%7D%20%5C%5C%5C%5CAfter%5C%20population%20%28A%29%20%3D%2019613%5B1.06%5D%5E%7B20%7D%20%5C%5C%5C%5CAfter%5C%20population%20%28A%29%20%3D%2062%2C901.548)
A linear equation in two variables doesn't involve any power higher than one for either variable. It has the general form Ax + By + C = 0, where A, B and C are constants. It's possible to simplify this to y = mx + b, where m = ( −A / B) and b is the value of y when x = 0. A quadratic equation, on the other hand, involves one of the variables raised to the second power. It has the general form y = ax2 + bx + c. Apart from the adding complexity of solving a quadratic equation compared to a linear one, the two equations produce different types of graphs.
Answer:
i hope its correct
Step-by-step explanation:
11x + 2y=68 ------------1
5x+y=13 ------------2
y= 13-5x. ------------3
put 3 into 1
11x +2(13-5x) =68
11x +26 -10x =68
x=42
put x =42 into 2
5(42) +y =13
210+y=13
y=13-210
y=197
