Friday - 185
Saturday - 185 x 2
= 370
Sunday - 370 - 50
= 320
4x+6y=56 and y=4x can be used to determine the number of small cars rented and the number of large cars rented, where x represents number of small cars and y represents number of large cars.
Step-by-step explanation:
Number of people hold by small cars = 4
Number of people hold by large cars = 6
Let,
Number of small cars = x
Number of large cars = y
The students rented 4 times as many large cars as small cars,
y = 4x Eqn 1
which altogether can hold 56 people.
4x+6y=56 Eqn 2
4x+6y=56 and y=4x can be used to determine the number of small cars rented and the number of large cars rented, where x represents number of small cars and y represents number of large cars.
Keywords: linear equations, addition
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Answer: the value of | 2x + y | = 1.39
the direction of 2x + y = 21°
Step-by-step explanation:
Given that the vectors x and y are unit vectors that make and angle of 30 degrees with each other.
Let assume that unit vector x is along the positive x-axis, and unit vector y is at +30°.
Therefore
2x-y=
2< 1,0 > - < cos(30),sin(30) >
=<2-(√2)/2, 0-1/2>
and
|2x-y|=√((2-(√2)/2)² + (-1/2)^2)
=1.3862
Therefore the value of | 2x + y | = 1.39
=atan((-1/2)÷(2-(√2)/2))
=atan(1.29289/-0.5)
=-0.369 radians
= -21.143°
Therefore the direction of 2x + y is
21°