Answer:
2 hours
Step-by-step explanation:
Let x mph be the speed of motorboat in still water and y mph be the speed of current.
A raft and a motorboat simultaneously leave from the same point and move down the river, then speeds down the river are:
motorboat = x + y mph
raft = y mph
In two hours they will cover:
motorboat = 2(x+y) miles
raft = 2y miles
After 2 hours the motorboat turns around and starts moving towards the raft (against the current), so its speed is now x - y mph.
Let t be the time they move towards each other. In t hours, they cover
motorboat = t(x - y) miles
raft = ty miles
The distance from the starting point to the turning point is the same as the sum of the distances the raft covers and the motorboat covers after turning around, so
Answer:
x = 12
z = 101
Step-by-step explanation:
Hello There!
First lets find z
Well the angle that has a measure of 79 degrees and angle z are supplementary angles meaning that the sum of the two is 180
So we can find the missing angle by subtract the given angle (79 in this case) from 180
180 - 79 = 101 so z = 101
Now lets find x
The angle that has a measure of 79 degrees and the angle labeled (6x+7) are vertical angles
If you didn't know vertical angles are congruent
That being said lets create an equation to solve for x
79 = 6x + 7
now we solve for x
step 1 subtract 7 from each side by
7 - 7 cancels out
79 - 7 = 72
now we have 72 = 6x
step 2 divide each side by 6
72/6=12
6x/6=x
we're left with x = 12
a+y≤1000 and 25a+12.50y>15000 is the system of inequalities that could be used to solve the problem.
Step-by-step explanation:
Given,
Price of one adult ticket = a = $25
Price of one youth ticket = y = $12.50
Maximum people that can be hold by theater = 1000
Therefore;
The maximum number of people can be 1000 or less than that.
As they want to revenue to be more than 15,000 therefore,
a+y≤1000 and 25a+12.50y>15000 is the system of inequalities that could be used to solve the problem.
Keywords: linear inequality, addition
Learn more about addition at:
#LearnwithBrainly
WOW I'm in middle school too and we don't even do this stuff
Answer:
7
Step-by-step explanation:
