Answer:
The number of Pencils purchased and the cost of pencils represents a proportional relationship.
Step-by-step explanation:
As we know that proportional relationships between two variables have equivalent ratios.
For example,
3/12 = 9/36 is a TRUE proportions because both fractions reduces to 1/4, and because 12 × 9 = 3 × 36.
As our problem suggests whether the number of Pencils purchased and the cost of pencils represent a proportional relationship?
Given
It means ach pencil costs $0.25.
So
- If Sarah buys 1 pencil it would cost = $0.25
- If Sarah buys 2 pencils it would cost = $0.5
- If Sarah buys 3 pencils it would cost = $0.75
- If Sarah buys 4 pencils it would cost = $1
Lets make a table:
No of Pencils Purchased Cost
1 $0.25
2 $0.5
3 $0.75
4 $1
so
Cost/No of Pencils Purchased = 0.25/1 = 0.5/2 = 0.75/3 = 1/4
So cost per pencil = 0.25 : 1
Since all of the ratios are equivalent, this table is a proportional relationship.
Therefore, the number of Pencils purchased and the cost of pencils represents a proportional relationship.
Answer: price of total notebooks = p(a+b+c) or pa+pb+pc= price of total notebooks
Step-by-step explanation:
you have to add all the number of notebooks or a b and c and then multiply it by the price of each notebook. there are multiple ways to do this but those are the ways I could think of.
if a=2, b=3 and c=6 then you have to add 2+3+6 to equal 11 then multiply 11 by the price of each notebook, say p=$4.50 your equation would be 4.50*11 which is $49.50, and that would be the total of all the notebooks. these numbers metaphorical of course, but hope that puts it into perspective.
Answer:
11.1 units
Step-by-step explanation:
We solve for this using the formula when using coordinates (x1 , y1) and (x2, y2)
= √(x2 - x1)² + (y2 - y1)²
A(5,2), B(5,4), and C(1,1).
For AB = √(x2 - x1)² + (y2 - y1)²
= A(5,2), B(5,4)
= √(5 - 5)² +(4 - 2)²
= √ 0² + 2²
= √4
= 2 units
For BC = √(x2 - x1)² + (y2 - y1)²
= B(5,4), C(1,1)
= √(1 - 5)² +(1 - 4)²
= √ -4² + -3²
= √16 + 9
= √25
= 5 units
For AC = √(x2 - x1)² + (y2 - y1)²
A(5,2), C(1,1)
= √(1 - 5)² + (1 - 2)²
= √-4² + -1²
= √16 + 1
= √17
= 4.1231056256 units
The Formula for the Perimeter of Triangle = Side AB + Side BC + Side AC
= 2 units + 5 units + 4.1231056256 units
= 11.1231056256 units.
Approximately the Perimeter of a Triangle to the nearest tenth = 11.1units
Answer:
Ans: -21.87 ≅ -22°C
Step-by-step explanation:
T(x)=-22+44e^-0.03x
Initial temperature (x = 0):
T(0) = = -22 + 44e-0.03(0) = -22 + 44(1) = 22°C
After 18 minutes (x = 18):
T(18) = -22 + 44e-0.03(18) = -21.87°C ≅ -22°C
The opposite of 17.2 from 0 on a number line would be -17.2.
