X + (x+2) = 154
combine like terms
2x + 2 = 154
subtract 2
2x = 154
divide by 2
x = 76
so the two numbers are 76 and 78
Answer:
No, because James has confused the hours of watching tv with the hours of reading.
Step-by-step explanation:
This is incorrect. According to the graph, what we have is a point on the line at (6, 10), which implies that a student who reads for 6 hours will watch tv for 10 hours.
It is very likely that James is confusing the hours of watching tv with the hours of reading.
Answer:
No, it will not pass specifications.
Step-by-step explanation:
It says that the max slope of the wheelchair ramp should be 1/12.
To calculate slope, you do rise over run or y values over x values. In this case, the rise over run is 5/50. 5/50 simplifies to 1/10.
1/10 > 1/12, meaning that it is more than the maximum slope.
Answer: He will pick up a signal from the transmitter 29.43 miles of the drive.
Step-by-step explanation:
Since we have given that
Radius = 29 mile
So, equation of circle would be

There is a straight line from a city 32 miles north i.e. (0,32) to a second city 40 miles east of the transmitter i.e. (40,0)
So, equation of line would be

So, we will put this value in the equation of circle.

So, x= 4.12 and x = 27.1
So, y = 28.7, y = 10.32
So, distance between them would be

Hence, he will pick up a signal from the transmitter 29.43 miles of the drive.