Answer:
-4m-3
Step-by-step explanation:
-0.25 times 16 is the same thing as dividing 16 by -4. 16m divided by -4 is -4m
-0.25 times 12 is the same thing as dividing 12 by -4. 12 divided by -4 is -3
Answer:
36 tiles
Step-by-step explanation:
Because the room is square, the numbers of tiles along the edge of the room were multiplied by the same number, meaning that:
81 = x²
So to find x, we must square root both sides of the equation:

x = 9
So the length of one side is 9 tiles. Now to calculate the circumference, as each side of a square is the same length, we can multiply this number by 4:
9 * 4 = 36
So there are 36 tiles along the edge of the room.
Hope this helps!
Answer:
Range of the average number of tours is between 150 and 200 including 150 and 200.
Step-by-step explanation:
Given:
The profit function is modeled as:

The profit is at least $50,000.
So, as per question:

Now, rewriting the above inequality in terms of its factors, we get:

Now,
![x0\\x>200,(x-150)(x-200)>0\\For\ 150\leq x\leq200,(x-150)(x-200)\leq 0\\\therefore x=[150,200]](https://tex.z-dn.net/?f=x%3C150%2C%28x-150%29%28x-200%29%3E0%5C%5Cx%3E200%2C%28x-150%29%28x-200%29%3E0%5C%5CFor%5C%20150%5Cleq%20x%5Cleq200%2C%28x-150%29%28x-200%29%5Cleq%200%5C%5C%5Ctherefore%20x%3D%5B150%2C200%5D)
Therefore, the range of the average number of tours he must arrange per day to earn a monthly profit of at least $50,000 is between 150 and 200 including 150 and 200.
Answer:
5 meters.
Step-by-step explanation:
Given:
Mr. Dyer is leaning a ladder against the side of his house to repair the roof.
The top of the ladder reaches the roof, which is 3 meters high.
The base of the ladder is 4 meters away from the house, where Mr. Dyer's son is holding it steady.
Question asked:
How long is the ladder?
Solution:
<em>Here we found that a right angle triangle is formed in which base and height is given and we have to find the longest side of the triangle.</em>
Base = 4 meters
Height = 3 meters
Length of the ladder = ?
<u>By Pythagoras theorem:
</u>
Square of longest side = Square of base + Square of height



Taking root both side :-
![Longest\ side = \sqrt[2]{5\times5} \\ Longest\ side = 5](https://tex.z-dn.net/?f=Longest%5C%20%20side%20%3D%20%20%5Csqrt%5B2%5D%7B5%5Ctimes5%7D%20%5C%5C%20%20Longest%5C%20%20side%20%3D%20%205)
Thus, length of ladder is 5 meters.