The students rented 4 small cars and 8 large cars.
Step-by-step explanation:
Given,
Number of people in small car = 4
Number of people in large car = 7
Total people in both type of cars = 72
Let,
x represent the number of small cars rented.
y represent the number of large cars rented.
According to given statement;
4x+7y=72 Eqn 1
y = 2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1

Dividing both sides by 18

Putting x=4 in Eqn 2

The students rented 4 small cars and 8 large cars.
Keywords: linear equation, substitution method
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The triangles are similar because two angles have the same measurements
Answer: SECOND OPTION.
Step-by-step explanation:
It is important to remember that, by definition, the "Resultant vector " is the vector obtained by adding two or more vectors.
For this exercise you need to use the formula for calculate the magnitude of the resultant vector obtained by adding the vectors "a" and "b" shown in the picture attached:

Where "c" is the magnitude of the resultant vector asked in the exercise.
You need to analyze the graph given in the exercise.
You can identify that:

Then the next step, knowing which are "a" and "b", is to substitute values into the formula given at the beginning of this explanation, as following:

Finally, evaluating, you get that "c" is:

The expressions 100×10 and the more complicated
(100 - 4a)(10 + a)
are calculating annual (expected) revenue. In 100×10 the 100 is the number of decks and the 10 is the price per deck. In (100 - 4a)(10 + a) the 100-4a is the number of decks and the 10+a is the price per deck. So a must be the amount the price increases.
Answer: amount of price increase, last choice