Of the 20 sandwiches prepared by Ali, Ben and Carla, Ali made a total of A) two sandwiches
Information of the problem:
- Total of sandwiches: 20
- Ali = x
- Ben = 3x
- Carla = 2*(3x)
To solve this problem we have to state the equation using the information of the problem:
Total of sandwiches = Ali + Ben + Carla
20 = x + 3x + 2*(3x)
20 = x + 3x + 6x
20 = 10x
x = 20 / 10
x = 2
Substituting the (x) value into the information of the problem we get:
Ali = 2 sandwiches
Ben = 3*2 = 6 sandwiches
Carla = 2*(3*2) = 2*6 = 12 sandwiches
<h3>What is an equation?</h3>
An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
Learn more about equation at: brainly.com/question/2972832 and brainly.com/question/27815607
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Forces in direction x:
fx1 = 100 * cos (50) = 64.28
fx2 = 50 * cos (160) = - 46.99
The resultant is:
fx = fx1 + fx2 = 17.29
Forces in direction y:
fy1 = 100 * sine (50) = 76.60
fy2 = 50 * sine (160) = 17.10
The resultant is:
fy = fy1 + fy2 = 93.70
The magnitude of the resulting force is:
f = root (fx ^ 2 + fy ^ 2)
f = root ((17.29) ^ 2 + (93.70) ^ 2)
f = 95.28
The angle is:
theta = atan (fy / fx)
theta = atan (93.70 / 17.29)
theta = 79.55 degrees
Answer:
The direction and magnitude of the resultant force are:
f = 95.28 pounds at theta = 79.55 degrees
X=6 answer is d. Put all x in one side then add them. At last divide it will be 6 Hope this helps