Answer:
Step-by-step explanation
Let's say d = distance, r = speed and t = time
We know the distance formula is :
distance = speed x time
d = r multiplied by t
d = rt
If the speed is 15km/hr, the time would be 30 minutes shorter.
Since d = rt,
90 = 15t
t = 6,
This means the time taken for the bus to complete the journey at 15km/hr would be 6hrs.
Originally though, the journey takes 30 minutes longer.
So we can say t = 6.5 hrs , and we know d = 90
Now we use the distance formula:
d = rt, since we want to find the original speed, we want to find r.
Speed = distance/time
r = d/t
r = 90/6.5
r = 180/13
Therefore the original speed is 180/13 km/hr
Answer:
x=-2 y=3
Step-by-step explanation:
The substitution is basically given to you. Exchange x from the second equation with y-5
Once that is done and you combine the parentheses you get:
2y-10+y=-1
Add 10 on both sides of the equal sign
You get:
3y=9
Divide both sides by 3
You get:
y=3
To check your work you can substitute y in the second equation with 3 and solve it that way to get x=-2 (x equals negative two)
Answer:
It would be 5000
Step-by-step explanation:
It would be 500 b/c the number is a greater number that is 4802 and it is closer to 5000 than 4000
The Slope-Intercept form of the equation of the line is:
Where "m" is the slope of the line and "b" is the y-intercept.
The slope can be found with:
Choose two points from the table. These could be the points (1,-4) and (4,-19). You can set up that:
Substituting values, you get that the slope of this line is:
You can substitute the slope and the first point into the equation in Slope-Intercept form:
Solve for "b":
Therefore, the Equation of this line in Slope-Intercept form is:
