Answer:
168
Step-by-step explanation:
You just need to triple the answer to get 168.
Let the number of gallons consumed be the first car be x, and that of the second car, y. Then:
x + y = 50 . . . . . . . (1)
20x + 15y = 850. . . (2)
(1) x 20 => 20x + 20y = 1000 . . . (3)
(2) - (3) => -5y = -150 => y = -150/-5 = 30
From (1), x + 30 = 50 => x = 50 - 30 = 20
Therefore, first car consumed 20 gallons and the second consumed 30 gallons.
Answer:
6 = x
Step-by-step explanation:
first, we simplify the parenthesis by distributing the 4
3 = 4(x - 2) + 5 - 3x
3 = 4x - 8 + 5 - 3x
then, you add like terms
3 = x - 3
then add 3 to both sides to isolate x
6 = x
Answer:
20
Step-by-step explanation:
I hope the answer satisfies you and hope that you understand my handwriting as I have explained. Thanks for the problem, it also helps me.
To get the resultant magnitude and direction of the forces we need to separate the force into its x and y components. For the x components it is the sum of 2000cos(30) and 900cos(45), which is 2368.4469 N. For the y components it will be the sum of 2000sin(30) and -900sin(45), the value for the second force is negative because it is pointing downwards, their sum would be 363.6038 N. The magnitude for the resultant force can be determined using the pythagorean theorem R=sqrt(2368.4469^2 + 363.6038^2) while its direction is found using tan^-1(363.6038/2368.4469). The final answer would be 2396.1946 N with an angle of 8.7279 degrees from the right side of x axis.
