<h3>
Answer: 250</h3>
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Explanation:
x = speed of the plane in mph
x-180 = speed of the car, since its 180 mph slower than the plane
For the plane, we can form the equation
distance = rate*time
d = r*t
500 = xt
t = 500/x
For the car, we can say,
d = rt
140 = (x-180)t
140 = (x-180)*(500/x)
140x = 500(x-180)
140x = 500x - 90,000
140x - 500x = -90,000
-360x = -90,000
x = (-90,000)/(-360)
x = 250
The speed of the plane is 250 mph
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Extra info:
The car's speed is x-180 = 250-180 = 70 mph
It takes the plane t = d/r = 500/250 = 2 hours and it takes the car t = d/r = 140/70 = 2 hours. Both vehicles travel for 2 hours, which helps to confirm the answer.
For this case we have to;
We have that an equation in slope-intercept form is given by:

Where:
m is the slope
b is the cut point with the y axis
Also, by definition, two lines are perpendicular when the product of their slopes is -1. That is:
We have the line as data: 
Then 
We found
:





Thus, 
We must find
:
We know that
passes through the point
We substitute the point in the equation of
:

Thus, 
Then the equation in slope-intercept for the line that passes through (5,0) and is perpendicular to the line described by
is: 
Answer:

Answer:
E B D
Step-by-step explanation:
E B and D are true, all the other statements are false
Answer:
<u>There were 12 gold coins in the chest at the start.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
x = Number of gold coins in a chest
1/2x = Number of gold coins taken by the captain
1/4x = Number of gold coins taken by Sally
3 = Number of gold coins left
2. How many coins were in the chest at the start?
Let's write the following equation to solve for x:
1/2x + 1/4x + 3 = x
2x + x + 12 = 4x (Lowest Common Denominator is 4)
4x - 2x - x = 12 (Like terms)
x = 12
<u>There were 12 gold coins in the chest at the start.</u>
Answer:
the blank is 7
Step-by-step explanation:
; )