Answer:
800. Here's why:
Step-by-step explanation:
This indicats that 440 students make up 55% of the 6th grade population. We can write this as
55/440.
We also know that 'x' total students make up 100% of the 6th-grade population, so we can write this as
100/x.
55/440 must be equal to 100/x. When cross multiplied, it becomes 50x=44000. If we divided each side by 50, we'll find that x=880. Therefore, there are 800 6th graders
Apply the slope formula as follows:
5-4 1
m = --------- = ---------
7-(-3) 10
Answer:
Step-by-step explanation:
prime factorization
40y³ = 2³×5y³
625 = 5⁴
Greatest common factor = 5
40y³ - 625 = 5(8y³ - 125)
Note that 8y³ - 125 is the difference of cubes.
8y³ - 125 = (2y)³ - 5³ = (2y-5)((2y)² + 2y·5 + 5²) = (2y-5)(4y² + 10y + 25)
40y³ - 625 = 5(2y-5)(4y² + 10y + 25)
We are given the statement that the strength, S, of a beam of width w andheight h is proportional to wh2. hence using k as the proportionality constant, the equation is S = k wh2. the exact width and height can be determined by applying optimization to the problem. optimization is taking the first derivative of an equation and equating then to zero
The percentage in fraction in its simplest form is 5/4%
<h3>How to find percentage</h3>
Given:
let
x = the percentage
3 1/3 = x% of 800
10/3 = x/100 × 800
10/3 = 800/100x
- divide both sides by 800/100
x =10/3 ÷ 800/100
= 10/3 ÷ 8/1
= 10/3 × 1/8
= 10/8
= 5/4%
Learn more about percentage:
brainly.com/question/843074
