Answer:
The answer is 2427.5
Step-by-step explanation:
The fraction consists of two numbers and a fraction bar: 4,855/200
The number above the bar is called numerator: 4,855
The number below the bar is called denominator: 200
The fraction bar means that the two numbers are dividing themselves.
To get fraction's value divide the numerator by the denominator:
Value = 4,855 ÷ 200
To calculate the greatest common factor, GCF:
1. Build the prime factorizations of the numerator and denominator.
2. Multiply all the common prime factors, by the lowest exponents.
Factor both the numerator and denominator, break them down to prime factors:
Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
4,855 = 5 × 971;
4,855 is a composite number;
In exponential notation:
200 = 2 × 2 × 2 × 5 × 5 = 23 × 52;
200 is a composite number;
Answer:
5
Step-by-step explanation:
6x^2 + 7x^3 + 8x^5 +9
Write in order from highest power to lowest power
8x^5 + 7x^3 + 6x^2 +9
The highest power ( largest exponent) is 5
The degree of the polynomial is 5
Answer:
261.8 in^3
Step-by-step explanation:
The formula for the volume of a cone is V = (1/3)(base)(height), where "base" is the area of the base.
In this case, with the radius being 5 in and the height 10 in, we get:
V = (1/3)*π*(5 in)^2*(10 in), which simplifies to 261.8 in^3.
Answer: Look at the number of points where the graphs intersect each other...the points where the graphs of the functions cross each other are the solutions to the system.
Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations.
Step-by-step explanation:
(150 miles/week) x (1 gallon / 25 miles) x (3 $/gallon)
= (150 x 1 x 3) / (25) (miles-gallon-$ / week-miles-gallon)
= 18 $/week .
