D) (4,3)
E) (5,-1)
B) (3,-1)
C) (2,2)
Answer:
315 people
Step-by-step explanation:
Using the given ratio, we can figure out the number of children on the train by doing cross multiplication.
Let x = # of children on train.
7/2 = 245/x
7x = 490
x = 70 children
The total number of people = 70 + 245 = 315 people total
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Answer:
The correct option is 1.
Step-by-step explanation:
The given parent function is

1. Domain of the function is all positive real number including 0.
2. Range of the function is all positive real number including 0.
3. It is an increasing function. It increases at decreasing rate.
First graph increase at decreasing rate and it starts from (-4,-1), therefore the required function is

Therefore graph 1 is an example of a function whose parent graph is of the form y = √x.
Second graph is a parabola, so it is the graph of a quadratic function.
Third graph is a rectangular hyperbola, so it is the graph of a rational functions.
Fourth graph is increasing at increasing rate, so it is the graph of an exponential function.
Therefore options 2, 3 and 4 are incorrect.
Answer:

Step-by-step explanation:
First find difference between the divisors and remainders.

Here, the difference between the divisors and remainders is equal.
So, the required number is equal to LCM of 

LCM of 
Required Number 
Answer:
Step-by-step explanation:
m∠2 = 52° [Alternate interior angles]
m∠1 + m∠2 = 180° [Linear pair of angles are supplementary]
m∠1 = 180° - 52°
m∠1 = 128°
m∠3 = 47° [Alternate interior angles]
m∠5 + 52° + 47° = 180° [Sum of linear angles is 180°]
m∠5 = 180° - 99°
= 81°
m∠4 + 47° = 180° [Sum of consecutive interior angles is 180°]
m∠4 = 180° - 47°
m∠4 = 137°