X + y is the number of students who were surveyed.
x is the number who own a bike.
y is the number who don't.
the ratio of the ones who own a bike and the ones who were surveyed is x / (x + y)
that ratio is 7/8.
you get x / (x + y) = 7/8
multiply both sides of this equation by (x + y) to get x = (x + y) * 7/8
simplify to get x = 7/8 * x + 7/8 * y
subtract 7/8 * x from both sides of this equation to get:
1/8 * x = 7/8 * y
solve for x to get x = 7 * y
this means that the number of students who own a bike is 7 times the number of students who don't.
divide both sides of that equation by y to get x/y = 7/1.
that means that the ratio of students who own a bike to the number of students who don't is equal to 7/1.
the problem states that the difference between the number who own a bike and the number who don't is 72.
this means that x - y = 72
from the equation of x = 7 * y, replace x with 7 * y in the equation of x - y = 72 to get:
7 * y - y = 72
simplify to get 6 * y = 72
divide both sides of that equation by 6 to get y = 72/6 = 12
this means that the number of students who do not own a bike is 12.
since x = 7 * y, then x = 7 * 12 = 84.
this means that the number of students who own a bike is 84.
since the number of students is x + y, this means that the number of students who were surveyed is 84 + 12 = 96.
let's see if this is right.
96 students were surveyed.
84 own a bike and 12 don't.
the difference between the ones who own a bike and the ones who don't is 84 - 12 = 72.
the ratio of the ones who own a bike and the number surveyed is 84/96 = 7/8.
solution is 96 students were surveyed.
Kid-A A1,A2,A3,A4,A5
Kid-B B1,B2,B3,B4,B5
Kid-C C1,C2,C3,C4,C5
Kid-D D1,D2,D3,D4,D5
Ellen E1,E2,E3,E4,E5
Slope = (difference of y-coordinates)/(difference of x-coordinates) = (-7-8)/(-15-(-10)) = (-15)/(-25) = ⅖
If you are given
1. 2 points go to AAAAAA
2. slope and 1 point go to BBBBBB
3. y intercept and x intercept go to CCCC
AAAAAAAA
y=mx+b
m=slope
b=y intercept
if you have the points (x,y) and (z,t), then
slope=(y-t)/(x-z)
then subsitute slope and subsitute one point for x and y (x,y) to solve for b
BBBBBBB
y=mx+b
m=slope
b=y intercept
if you are given the slope, then input the slope for m and input the point and solve for b (ex if given slope=3 and one point is (1,4) then 4=3(1)+b 4=3+b, b=1)
CCCCCCCCC
y=mx+b
m=slope
b=y intercept
x intercept is where the line crosses the x axis or where y=0 and y intercept=where the line crosses the y axis or when x=0
subsitute y intercept for b
subsitute the point (x,0) in the euqaitoin (x=x intercept)
Answer:
1.35 < pounds of apples < 1.4
Step-by-step explanation:
