Answer:
240 miles
Step-by-step explanation:
Given that:
Charges offered by Prestige car rentals for renting a midsize vehicle:
Fixed charges = $47
Per mile charges for renting a midsize vehicle = $0.07
Charges offered by Gateway Auto for renting a midsize vehicle:
Fixed charges = $35
Per mile charges for renting a midsize vehicle = $0.12
To find:
Number of miles for which both the companies charge the same price?
Solution:
Let the number of miles for which both the companies will charge the same price = 
miles
Charges for one mile by Prestige car rentals = $0.07
Charges for miles by Prestige car rentals = $0.07
Total charges by Prestige Car rentals = $47 + $0.07
Charges for one mile by Gateway Auto = $0.12
Charges for miles by Gateway Auto = $0.12
Total charges by Gateway Auto = $35 + $0.12
As per question statement, the charges are same:
Answer:
use the slope equation (y2-y1) / (x2 -x1). plug in values and solve
(-1 -7) / (9 -(-3)) (subtracting a negative is the same as adding a positive)
-8 / 12 (simplify)
m = -2/3
then, plug in one of the points and the slope into the slope-point equation.
(y - y1) = m (x - x1) (the point-slope form)
y - 7 = -2/3( x - (-3)) (plug in the slope and point 1 values, then solve)
y - 7 = -2/3x - 2 (add 7 to both sides)
y = 2/3x +5 (the answer)
Step-by-step explanation:
I hope this helps :))
The measure of MN from the diagram is 6
<h3>Similarity theorem of triangles</h3>
From the given triangle, the expression below is true;
ML/LK = MN/NO
Given the following parameters
ML = 4
LK = 10
NO= 15
Substitute the given parameters into the formula
4/10 = MN/15
Cross multiply
10MN = 4 * 15
10MN = 60
MN = 6
Hence the measure of MN from the diagram is 6
Learn more on similar triangles here: brainly.com/question/14285697
Answer: 
Step-by-step explanation:
Given
A gym owner has purple and white weights that measure 10 kg and 6 kg each
respectively.
They weigh 84 kg in total
suppose there x purple and y white weights
Thus, there are 3 purple and 9 white weights.
I'm going to use the slope formula which is
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points the line goes through
Slope of line PQ
m = (y2 - y1)/(x2 - x1)
m = (-6 - 8)/(-5 - (-7))
m = (-6 - 8)/(-5 + 7)
m = (-14)/(2)
m = -7
The slope of line PQ is -7
Slope of RS
m = (y2 - y1)/(x2 - x1)
m = (0 - (-5))/(-2 - 3)
m = (0 + 5)/(-2 - 3)
m = (5)/(-5)
m = -1
The slope of line RS is -1
Because the slopes are NOT equal (one is -7 and the other is -1), this means the lines are NOT parallel.
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Answer: Choice B) No, the lines have unequal slopes
