Answer:
The time may be calculated by making the equations equal each other:
2w +7 = .5w + 10
1.5w = 3
weeks = 2
Step-by-step explanation:
For this type of problem, plug the -4 into the graph for x. So where is the line at x = -4??
y = 4 where x = -4.
That's the same as saying: "what is the y-value when x = -4?)
f(-4) = y = 4
Answer:
The total number of planes = 23 planes
Step-by-step explanation:
The number of planes are give as follows;
The number of planes with three points, given that any three points of an octahedron forms a plane are ₆C₃ = 20
The number of distinct planes that has 4 points in the octahedron = 3
Therefore, the total number of planes are 20 + 3 = 23 planes.
Answer:
6 = −4x + y
−5x − y = 21
Answer: (-3, -6)
2x + y = 20 6x – 5y = 12
Answer:
(7 , 6)
Step-by-step explanation:
Solve the system of equations by substitution.
6 = −4x + y --> y = 4x + 6
−5x − y = 21
Substitute y = 4x + 6 into −5x − y = 21
−5x − (4x + 6) = 21
-5x - 4x - 6 = 21
-9x = 27
x = - 3
y = 4(-3) + 6
y = -12 + 6
y = -6
(-3, -6)
Solve the system by the elimination method.
2x + y = 20
multiply the equation by (-3) ; 2x + y = 20 so
-6x - 3y = - 60
6x – 5y = 12
------------------add
-8y = - 48
y = 6
2x + y = 20
2x + 6 = 20
2x = 14
x = 7
(7 , 6)
Answer:
Excess time = 1.2 hour
Step-by-step explanation:
Given:
Total time = 24 hours
Talking on phone = 17 %
Sleeping = 33%
Going to school = 25%
Studying = 4%
Eating = 8%
Computation:
Watching TV percent = 100% - Talking on phone - Sleeping - Going to school - Studying - Studying - Eating
Watching TV percent = 100% - 17% - 33% - 25% - 4% - 8%
Watching TV percent = 13%
Time taken by school = 24 x 25%
Time taken by school = 6 hour
Time taken by watching T.V. and Talking on the Phone = 24 x (13% + 17%)
Time taken by watching T.V. and Talking on the Phone = 7.2 hour
Excess time = 7.2 - 6
Excess time = 1.2 hour
