Answer:
5 1/3 miles
Step-by-step explanation:
We can use a ratio to solve
8 miles x miles
------------ = --------
3 hours 2 hours
Using cross products
8*2 = 3x
16 = 3x
Divide by 3
16/3 = 3x/3
5 1/3 miles =x
Answer:
13 or 14 pictures
Step-by-step explanation:
there are 27 students who has decided to be grouped in pair. pair means 2, so mathematically
27 = 2 *x 27 can't make a pair
where x is the one student is removed
number of 26 is left
pictures x = 26 \ 2
x = 27 \ 2 OR x = 13 pictures
x = 13.5
x = 14 pictures
hope it help
Answer:
80000 square meters
Step-by-step explanation:
perimeter + dividing fence = 800
let a = length
let b = width
let c = length of dividing fence
perimeter = 2*a + 2*b
let's say...
c is the same as the length
2a + 2b + c = 800
2a + 2b + a = 800
3a + 2b = 800
area = length*width
area = a*b
area / b = a
3*(area/b) + 2b = 800
3*(area/b) = 800 - 2b
area/b = (800 - 2b)
area = (800 - 2b)*b
To make the area large, we make the right hand side large.
800b - 2b^2
If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.
y = -2x^2 + 800x
y = -x^2 + 400x
0 = x*(-x + 400)
roots are x= 0 and x = 400
vertex is at x, aka b = 200
area at b=200 is (800 - 400)*200 = 80000
and a is area/b... 80000/400 = 200
Don't listen but i'm gonna go with the third one
6x+1 / 2x +6 - 5/2
Factor 2 out of the denominator of the first fraction:
6x+1 / 2(x+3) - 5/2
Rewrite 5/2 to have a common denominator with the first fraction:
6x+1/2(x+3) - 5(x+3) / 2(x+3)
Simplify terms:
6x +1 - 5(x+3) / 2(x+3)
Use distributive property:
6x +1 - 5x -15 / 2(x+3)
Combine like terms for final answer:
(x-14) / 2(x+3)
