Answer:
Each girl gets 2/3 yd of ribbon.
Step-by-step explanation:
12 2/3=38/3
(38/3)/19
(38/3)(1/19)
(2/3)(1/1)=2/3
Radius = r = 1 foot
Angular velocity = w = 1 revolutions in 4 seconds
So,
w = 0.25 revolutions per second
Since,
1 revolution = 2π radians
We can write the above equation as:
w = 0.25 x 2π radians per second = 0.5π radians per second
Linear Velocity = v = r w
Using the values, we can write:
v = 1 x 0.5π
= 0.5 π
= π/2 feet per second
Therefore, the correct answer is option B
Answer:
{x,y,z} = {-18,4,2}
Step-by-step explanation:
Solve equation [2] for the variable x
x = -10y + 2z + 18
Plug this in for variable x in equation [1]
(-10y+2z+18) + 9y + z = 20
- y + 3z = 2
Plug this in for variable x in equation [3]
3•(-10y+2z+18) + 27y + 2z = 58
- 3y + 8z = 4
Solve equation [1] for the variable y
y = 3z - 2
Plug this in for variable y in equation [3]
- 3•(3z-2) + 8z = 4
- z = -2
Solve equation [3] for the variable z
z = 2
By now we know this much :
x = -10y+2z+18
y = 3z-2
z = 2
Use the z value to solve for y
y = 3(2)-2 = 4
Use the y and z values to solve for x
x = -10(4)+2(2)+18 = -18
Answer:
Step-by-step explanation:
202 students taking math and are business majors
only math, would be (861 - 202) = 659
only business majors, would be (525 - 202) = 323
so there are (659 + 323) = 982 that are math or business majors
