Y= -2/-18 or Y= 0.1111
X=-2(-0.1111)+1
or X=0.77778
Let's define variables:
s = original speed
s + 12 = faster speed
The time for the half of the route is:
60 / s
The time for the second half of the route is:
60 / (s + 12)
The equation for the time of the trip is:
60 / s + 60 / (s + 12) + 1/6 = 120 / s
Where,
1/6: held up for 10 minutes (in hours).
Rewriting the equation we have:
6s (60) + s (s + 12) = 60 * 6 (s + 12)
360s + s ^ 2 + 12s = 360s + 4320
s ^ 2 + 12s = 4320
s ^ 2 + 12s - 4320 = 0
We factor the equation:
(s + 72) (s-60) = 0
We take the positive root so that the problem makes physical sense.
s = 60 Km / h
Answer:
The original speed of the train before it was held up is:
s = 60 Km / h
Answer:
22
Step-by-step explanation:
Arrange the data points from smallest to largest.
If the number of data points is odd, the median is the middle data point in the list.
If the number of data points is even, the median is the average of the two middle data points in the list.
<span><span> Middle School </span> <span> Mathematics </span> <span> 5+3 pts </span> </span><span><span>Previous question </span> </span> <span><span>Next question </span> </span> <span>Which group agrees with the statement that immigrants steal jobs from people who were born in this country?
a.
Nativist
c.
Populist
b.
Activist
d.
None of the above
Please select the best answer from the choices provided
A
B
C
D
that would be navitist </span>
Answer:
The volume of the triangular prism is <em>51</em><em>.</em><em>84</em><em> </em><em>cm</em><em>^</em><em>3</em>.
Step-by-step explanation:
The formula of the volume of a prism is:
V = Ah
where:
V = Volume of prism
A = Area of uniform cross-section or base of prism
h = Height of prism = 6 cm
We can substitute the information given in the problem into this formula.
To find A, we need to find the area of the triangular base.
A = bh / 2
where:
b = Base of triangle = 5.4 cm
h = Perpendicular height of triangle = 3.2 cm
We can substitute the information given in the problem into this formula.
A = ( 5.4 × 3.2 ) / 2
A = 17.28 / 2
A = 8.64 cm^2
Substitute the value of A into the original volume of a prism formula with the other information given in the problem.
V = Ah
V = ( 8.64 ) ( 6 )
V = 51.84 cm^3
