The company charges $1.40 per mile.
Step-by-step explanation:
Given,
Cost of 6.5 miles ride = $12.00
Cost of 9 mile ride = $15.50
Let,
x be the cost per mile.
y be the pick up fee.
Total cost = Cost per mile*distance + pick up fee
According to statement;
6.5x+y=12.00 Eqn 1
9x+y=15.50 Eqn 2
Subtracting Eqn 1 from Eqn 2
Dividing both sides by 2.50
The company charges $1.40 per mile.
Keywords: distance, linear equation
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Answer:
Step-by-step explanation:
Equation:
Jalil says it is not possible to isolate x because x has a different unknown coefficient.
Victoria t. Victoria believes there is a solution
Solving the equation:
So, this shows x can be isolated .
Victoria was right .
It was not possible to isolate x if the coefficients of x would be same .
But in the given equation the coefficients of x are not same .
So, Victoria is right.
Answer:
Approximately, 159 men weighs more than 165 pounds and 159 men weighs less than 135 pounds.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 150 pounds
Standard Deviation, σ = 15
We are given that the distribution of weights of 1000 men is a bell shaped distribution that is a normal distribution.
Formula:
P( men weighing more than 165 pounds)
P(x > 165)
Calculation the value from standard normal z table, we have,
Approximately, 159 men weighs more than 165 pounds.
P(men weighing less than 135 pounds)
P(x < 135)
Calculation the value from standard normal z table, we have,
Approximately, 159 men weighs less than 135 pounds.
Answer:
The ballonist is at a height of 3579.91 ft above the ground at 3:30pm.
Step-by-step explanation:
Let's call:
h the height of the ballonist above the ground,
a the distance between the two observers,
the horizontal distance between the first observer and the ballonist
the horizontal distance between the second observer and the ballonist
and
the angles of elevation meassured by each observer
S the area of the triangle formed with the observers and the ballonist
So, the area of a triangle is the length of its base times its height.
(equation 1)
but we can divide the triangle in two right triangles using the height line. So the total area will be equal to the addition of each individual area.
(equation 2)
But we can write in terms of
, like this:
And for will be the same:
Replacing in the equation 2:
And replacing in the equation 1:
So, we can replace all the known data in the last equation:
Then, the ballonist is at a height of 3579.91 ft above the ground at 3:30pm.
