Answer:
Step-by-step explanation:
This is simply a units conversion problem. It gives us for the number of passengers, the number of seats per carriage and the number of carriages per train. To change the units from passengers to trains without changing the value, we use the multiplicative identity (that is, 1).
350000 passengers
(350000 passengers) * 1
(350000 passengers) * ((1 carriage)/(32 passengers)) * ((1 train)/(15 carriages)
[note: passengers and carriages cancel. Leaving only trains]
(350000)*(1/32)*(1/15) trains [note: I write this way to paste into MS Excel]
729.1667 trains [oh, but don’t just round this number either up or down]
729 full trains can carry 729*32*15 = 349920 passengers
730 full trains can carry 730*32*15 = 350400 passengers
Now, we can say that 730 trains are adequate to carry 350000 passengers.
K=y•x
Inverse means 1/variable
y=k•1/x
y=k/x
k=y•x
x=5
y=2.4
k=2.4 • 5
k=12
Answer is:
y=12/x
Good luck.
Answer:
x= 2
Step-by-step explanation:
Given that,
AB = 7.5x
BC = 6x+3
AC = 10x-5
ΔABC is an equilateral triangle.For an equilateral triangle, all sides are equal. ATQ,
AC = BC = AB
10x-5 = 6x+3
Taking like terms together
10x-6x = 5+3
4x = 8
x = 2
Hence, the value of x is equal to 2.
Segment PQ bisects the angle P, which means angle QPR has a measure of 21 degrees (which follows from the fact that triangles PQR and PQS are congruent and PR and PS are tangent to the circle).
This then means angle RQP has measure 90 - 21 = 69 degrees.
Angle Q is twice this, so it has measure 138 degrees.
Value is based upon the space that the number is in not the actual number. 44 for example the first four is 4 tens while the second is 4 ones.
