I think it's 74 because 3 has the factor :1,3
53 has the factor: 53,1
73 has the factor:1 ,73
74 has the factor:1,74,2,37
The independent variable is the one you change to get your dependent variable. in this case, the independent would be the number of quarters you have
Part A
5x - 5 >= 10 or-3x + 1 > 13
1) This is a disjunction (OR)
5x - 5 >= 10
5x >= 15
x >= 3
or
-3x + 1 > 13
-3x > 12
x < -4
Answer
x <- 4 or x >= 3
Part C:
1) This is a conjunction (And)
5x+ 3 <= 18 and 4 - x < 6
5x <= 15 and - x < 2
x <= 3 and x > -2
Answer
-2 < x <= 3
Answer:
We have a small circle, that is dilated by a factor of 5/3 creating a larger circle.
If the smaller circle has a diameter D, then after the dilation, the larger circle will have a diameter equal to: (5/3)*D
We know that the area of the larger circle is:
A = 100*pi cm^2.
And the area of a circle of diameter d, is:
a = pi*(d/2)^2
knowing that the diameter of the large circle is (5/3)*D, we can find the value of D.
A = pi*( (5/3)*D/2)^2 = 100*pi cm^2
let's solve this for D:
pi*( (5/3)*D/2)^2 = 100*pi cm^2
( (5/3)*D/2)^2 = 100 cm^2
( (5/3)*D/2) = √(100 cm^2) = 10cm
D/2 = (3/5)*10cm
D = 2*(3/5)*10cm = 12cm.
Then the area of the smaller circle will be:
a = pi*(D/2)^2 = pi*(12cm/2)^2 = pi*(6cm)^2 = pi*36 cm^2
and pi = 3.14
a = pi*36 cm^2 = 3.14*36cm^2 = 113.04 cm^2
$1.4-0.52=$0.88
So, Joel makes $0.88 profits for every sales.
To overcome rent fee, We need $36.
36/0.88= 40.90909....
So, Joel needs to sell at least 41 iceCream on country fair to make profits.
