Answer:
Infinite number of solutions.
Step-by-step explanation:
We have the equations,
1. 3x+3y=10
2. -9x-9y= -30
Now, if we multiply equation 1 with -3, we will obtain equation 2.
i.e. -3×(3x+3y)= -3×10
i.e. -9x-9= -30
So, we see that both the equations are same.
The equation 3x+3y=10 will have solution for many values of x and y.
Hence, the system will have infinite number of solutions.
Answer:
94.7 revolutions
Step-by-step explanation:
In the question above, we are given the following values for the fan
Angular velocity = 6.2 radians per seconds
Time = 1.6 minutes.
Step 1
We would convert the time given to seconds
1 minute = 60 seconds
1.6 minutes = ?
We cross multiply
1.6 minutes × 60 seconds
= 96 seconds
Step 2
Number of revolutions made by the fan is calculated as :
Angular velocity(rad/s)
× time(seconds)
Number of revolutions = 6.2 radians per seconds × 96 seconds
=595.2 radians
Converting from radians to revolution
1 radian = 0.159155 revolutions
595.2 radians =
Cross multiply
= 595.2 radians × 0.159155 revolutions
= 94.729056 revolutions.
Approximately to the nearest tenth = 94.7 revolutions.
Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.
2(x-2)=6
2x-4=6
2x=6+4
2x/2=10/2
x=5
Answer:
3/4
Step-by-step explanation:
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