"a rise of a quarter from last year" means the percentage went up by 25%
x = old value
x + 25% of x = x + 0.25x = 1.25x = new value = 0.25 since "1 in 4" means 1/4 = 0.25
So,
1.25x = 0.25
x = 0.25/1.25
x = 0.2
x = 2/10
x = 1/5
Answer: The fraction of families that owed money is 1/5, or 1 in 5.
Equation of the straight line can be given in more form. The most common forms are implicit (general or standard) form ax+by+c=0 and explicit form y=kx+i, where k is line coefficient and l is cut which line made on the y axis. If k>0 then the angle that takes straight line with the positive direction to the x axis is sharp and if k<0 then the angle that takes straight line with positive direction to the x axis is obtuse. In you case you only need to form one monomial with variable y in the given equation in the following way: 3x-4y+7=3y => add to both side (-3y) and you get 3x-4y-3y+7=3y-3y finally we get implicit or general 3x-7y+7=0. If is it necessary to transform from the implicit into the explicit form we will do this in the following way: 3x-7y+7=0 add to both side expression (-3x-7) => 3x-3x-7y+7-7=-3x-7 => divide both side with (-7) => y= (-3x-7)/ (-7) => finally we get y=3/7 x + 1 ( in our case coefficient of direction k=3/7 and the cut which line is made3 on the y axis l=1). Its display in the decartes coordinate system is given in one of the already given answers.
Answer:
53.62 m
Step-by-step explanation:
Length of arc = θ/360 × 2πr
r = XZ = 12 m
m<XYZ = 180 - 108 = 72° (angles on a straight line)
θ = 85° + 72° + 108° = 265°
Length of arc YWV = 256/360 × 2 × π × 12
= 53.6165146 ≈ 53.62 m (nearest hundredth)
Answer:
It's 4800, just multiply 60x80 bc the population is 80x larger than the sample of 100
