Answer:
150 students were not accepted.
Step-by-step explanation:
The ratio right now is 2 to 5 you would need to find an equal ratio with 250 as the second number. 5 is a factor of 250 because if you do 5 x 50 you get 250. So you would multiply 2 by 50 as well which is 100. The ratio is 100 to 250 with 100 being the students being accepted and 250 being the total number of people that applied. Though the question is asking for those that did <em>not</em> pass. If 100 people passed then everyone else out of 250 didn't and 250 - 100 is 150.
The answer is 11 when you add everything up it makes 44 divided by how many numbers there are so 44/4=11
The equation of line passing through the point P(-8,0) that is perpendicular to the line y=-3 is y=0 which can be found out from slope intercept formula.
It is given to us that -
The point is P(-8,0)
The line is represented as y=-3
The point P is perpendicular to the given line.
We have to find out the equation of the line passing through P which is perpendicular to the given line.
We know that the equation of a line is given by -
y = mx + c
where, (x, y) = coordinates of the point
m = slope of the line
c = a constant
Comparing this with the equation of the given line, we have
m=0 and c =-3
This implies that the slope of the perpendicular is also equal to 0.
The slope intercept formula for the perpendicular line can be represented as -
y = mx + c
Using the coordinates of P(-8,0), we have
0 = 0*(-8) +c
=> c = 0.
Thus, the equation of line passing through the point P(-8,0) that is perpendicular to the line y=-3 is y=0.
To learn more about equation of line visit brainly.com/question/21511618
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37 is a prime number which means it is only divisible by 1 and 37, therefore the only number that can go into 37 and 100 is 1.
Hope it helps. ☺
Answer:
7.86 km
Step-by-step explanation:
Let x represent the distance point P lies east of the refinery. (We assume this direction is downriver from the refinery.)
The cost of laying pipe to P from the refinery (in millions of $) will be ...
0.5√(1² +x²)
The cost of laying pipe under the river from P to the storage facility will be ...
1.0√(2² +(9-x)²) = √(85 -18x +x²)
We want to minimize the total cost c. That total cost is ...
c = 0.5√(x² +1) +√(x² -18x +85)
The minimum value is best found using technology. (Differentiating c with respect to x results in a messy radical equation that has no algebraic solution.) A graphing calculator shows it to be at about x ≈ 7.86 km.
Point P should be located about 7.86 km downriver from the refinery.
