Answer:
Time required by Machine B to create a widget = 4 hours
Step-by-step explanation:
Time taken by Machine A (
) = 3 hours
Time taken by Machine B (
)= x hours
Time taken by both machines by working together = 12 hours
The time required to both machines by working together to finish a task is given by the formula = 
Put the values in above formula we get
⇒ T = 
⇒ 12 = 
⇒ 36 + 12 x = 3 x
⇒ x = - 4 hours
This is the time required by Machine B to create a widget.
Answer:
2x + 9
Step-by-step explanation:
Let, "A number", be denoted by the variable, x.
Note the meaning of each part:
"the sum" means addition, or + .
"twice" means multiply by 2
Put the parts together:
The sum of 9 and twice a number
2x + 9 is your amsw34.
Answer:
The lines are parallel.
Step-by-step explanation:
Given the lines


Writing the equations in the slope-intercept form

where m is the slope and b is the y-intercept


Thus, the slope = m₁ = -2/3
also

Thus, the slope = m₂ = -2/3
- We know that parallel lines have equal slopes
As
m₁ = m₂
Thus, the lines are parallel.
Answer:
C $113.40
Step-by-step explanation:
100%-40%=60%
$180x60/100
=$10800/100
=$108
100%+5%(tax)=105%
$108x105/100
=$11340/100
=$113.40 (C)