A mathematical sentence formed by an equal sign between two expressions
1 answer:
You might be interested in
Answer:
The length of mid-segment units
Step-by-step explanation:
Given:
Length of units
is the mid-segment which means the line joining the midpoints of two sides of triangle.
By mid-segment theorem the mid-segment of a triangle is parallel to the third side and half of the length of third side.
So, we can write:
∴ units
∴The length of mid-segment units
I think with the kinds of mixture problems, it's really helpful to make a table.
The equations you actually need are
and 
. Since I was so close, I went ahead and just solved it anyway. You can see my setup on the attached image.
The equations you actually need are
Answer:
Company (1) charges $1.12 per mile and company (2) charges $0.85 per mile
Company (2) is $7.4 cheaper.
Step-by-step explanation:
From the tables given in the picture,
Let the equation representing the rental 'y' and distance traveled 'x' is represented by,
y = mx + b
For company (1),
Here m = per mile rental charges = Slope of the graph
b = Initial charges
Since slope of the line passing through two points and
is given by,
m =
Therefore, slope of the line passing through (30, 53.55) and (60, 87.15) will be,
m = = $1.12 per mile
So the equation will be,
y = 1.12x + b
Since this line passes through (30, 53.55),
53.55 = 1.12(30) + b
b = 53.55 - 33.6
b = 19.95
So the expression representing charges for the company (1) will be,
y = 1.12x + 19.95
For company (2),
Per mile charges = slope of the line
m =
m = $0.85 per mile
Equation for the charges will be,
y = 0.85x + b
Since this line passes through (25, 56.75),
56.75 = 0.85(25) + b
b = 56.75 - 21.25
b = 35.5
Therefore, equation representing total charges for company (2) will be,
y = 0.85x + 35.5
By comparing per mile charges,
Company (1) charges $1.12 per mile and company (2) charges $0.85 per mile
Steven plans to drive 85 km in rental truck.
Charges for company (1),
y = 1.12x + 19.95
y = 1.12(85) + 19.95
y = $115.15
Charges for company (2),
y = 0.85x + 35.5
y = 0.85(85) + 35.5
y = $107.75
Difference in charges of both the companies = 115.15 - 107.75 = $7.4
Therefore, company (2) is $7.4 cheaper.