Answer:
Step-by-step explanation:
Diameter = 6 units
Radius = Diameter/2 = 6/2 = 3 units
Taking π=3.14
Circumference = 2(π)(r) = 2(3.14)(3) = 6(3.14) = 18.84 = c
c = 18.84
Area = π(r)^2 = π(3)^2 = 9π =9(3.14) = 28.26 = b
b = 28.26
So,
b + c = 28.26 + 18.84 = 47.1
Answer:
B. Function.
Step-by-step explanation:
We have been given a set. We are asked to choose the correct option about the given set.
We know that a set represents a relation, when each x value corresponds to a y-value. In a relation one x-coordinate can have more than one y-values.
We know that a set represents a function, where each x-value corresponds to exactly one y-value.
Two different value can have same y-value to be a function.
We can see that each value of x corresponds to exactly one y-value. The value of y is 2 for all value of x, therefore, all points lie on a horizontal line
.
Therefore, our given set a function.
Remark
You need a split statement like C or D. A and B would have to be considered if the ages were between 12 and 60. However the discounts apply the other way. Up to 12 and over 60. You need two inequalities to describe this.
<em><u>Under 12</u></em>
x ≤ 12
The pointy end of the arrow points toward the x. x must be less than or at most equal to 12. The pointy end of the inequality must be directed towards the smaller number.
<em><u>Over 60</u></em>
x ≥ 60
This time the pointy end is directed towards the 60. x must be at least 60 and then upwards.
So C is the correct answer.
Step-by-step explanation:
Step one:
Given
The expression for Katya's distance away from home is given by the expression

y represents her total distance away from home
x= represent the time of travel in hours
Step two:
60 represents the rate at which the train is traveling in km per hour
20 represents the initial distance from home
we predict her distance away at a given time
say 4 hours, that is x=4hours
substituting in the expression
y=60x+20
y=60(4)+20
y=240+20
y=260km
A dime = 0.10
A nickel = 0.05
N + D = 28 coins
Rewrite this as N = 28 -D
0.10D + 0.05N = 1.95
Replace N withe the rewritten equation above:
0.10D + 0.05(28-D) = 1.95
Use the Distributive Property:
0.10D + 1.4 - 0.05D = 1.94
Add the like terms:
0.05D + 1.4 = 1.95
Subtract 1.4 from both sides:
0.05D = 0.55
Divide both sides by 0.05
D = 0.55 / 0.05
D = 11
Nickels = 28 - 11 = 17
There are 11 dimes and 17 nickels.