you substitute 5y+41 for x and get 5y+41+3y=-15 then you simplify by doing 8y+41=-51 subtract 41 from each side and divide by 8 to get y alone. That's how you get 11.5 for your answer.
Answer:
Height is 135 ft
Step-by-step explanation:
Notice that wire, pole, and ground form a right angle triangle, for which we name h = height of the pole one of the legs (the horizontal leg) is h - 51. The wire (which is the hypotenuse of the right angle triangle is: h + 24.
Then we can use the Pythagorean theorem to solve for the height (h):
h^2 + (h - 51)^2 = (h + 24)^2
h^2 + h^2 -102 h + 2601 = h^2 + 48 h + 576
grouping all terms on the left of the equal sign, we get:
h^2 -150 h + 2025 = 0
This gives two possible answers:
h = 135
and
h = 15
We opt for h = 135, because the other solution will render a negative leg for the triangle.
So the simplest way to think of this is that if 1 mile takes 6.2 minutes, 26.2 miles can be multiplied by 6.2 to find the total time. <span />
The answer should be 2 13/30.
Answer:
The probability that no one sits in the same seat on both days of that week is given by, 
Step-by-step explanation:
Given : A certain class has 20 students, and meets on Mondays and Wednesdays in a classroom with exactly 20 seats. In a certain week, everyone in the class attend both days. On both days, the students choose their seats completely randomly (with one student per seat).
To find : The probability that no one sits in the same seat on both days of that week ?
Solution :
Let 
be the i-th student sits on seat which he has been sitting on Monday.
According to question,
We have to calculate 
Applying inclusion exclusion formula,
Using symmetry,
Therefore, The probability that no one sits in the same seat on both days of that week is given by,
