Answer: Should be (4,0)
Step-by-step explanation:
Answer:
5000
Step-by-step explanation:
According to Wikipedia, the percent measureof a road grade is 100 times rise over run. in your case you know everything but run, so let's set up an equation
4=100 * 200/ run
Now just use algebra
4 = 20000/ run
run* 4= 20000
run= 20000/4
run= 5000
let me know if you didn't understand anything.
Answer:
Step-by-step explanation:
Let x represent the number of showings of a movie.
Let y represent the amount earned from x showings.
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
From the information given,
y2 = 3000
y1 = 2000
x2 = 7
x1 = 5
Slope,m = (3000 - 2000)/(7 - 5) = 1000/2 = 500
To determine the intercept, we would substitute x = 5, y = 2000 and m= 500 into y = mx + c. It becomes
2000 = 500 × 5 + c = 2500 + c
c = 2000 - 2500 = - 500
The equation becomes
y = 500x - 500
The value of t is:
a) when v = 15 then t = 3 hours
b) when v = 18 then t = 2.52 hours
<h3><u>Solution:</u></h3>
The relation between speed and time taken is given as:
It is given that for first 30 km, the speed of bicyclist is v km/hour
<em><u>
Time taken to cover first 30 km is given by:</u></em>
For next 17 km the speed of bicyclist is 2 km/hour greater than his original speed
so the speed to cover next 17 km = v + 2
<em><u>
Time taken to cover next 17 km is given by:</u></em>
Now total time t spent by the bicyclist to cover entire trip is given by
---- eqn 1
We have to find value of "t" for a) v = 15 and b) v = 18
<u><em>a) value of t when v = 15</em></u>
Substitute v = 15 in eqn 1
t = 2 + 1 = 3
So t = 3 hours
<u><em>b) value of t when v = 18</em></u>
Thus t = 2.52 hours