Answer:
-15
Step-by-step explanation:
If 18 more is -27, then 3 times the number is 18 less than -27, or -45.
If 3 times the number is -45, the number is -15.
Answer:
a. L² = 3L(L - 10)
b. The equation could be used to determine the length of a side of the original sandbox since, the areas of both sandboxes are the same.
c. 225 m²
Step-by-step explanation:
a. Let L represent the length of side of the original square sandbox. Since one side of the new rectangular sandbox is increased by 3, so we have one side as 3L and the other side reduced by 10 meters, we have the other side as L - 10.
The area of the original square sandbox = L²
The area of the new rectangular sandbox = 3L(L - 10).
Since both areas are the same, we equate them.
So, L² = 3L(L - 10)
b. L² = 3L(L - 10)
The above equation could be used to determine the length of a side of the original sandbox since, the areas of both sandboxes are the same.
c. We find the area of the new rectangular garden by first solving the equation to find the length of the original sandbox.
So, L² = 3L(L - 10)
Expanding the brackets
L² = 3L² - 30L
Collecting like terms
3L² - L² = 30L
2L² = 30L
2L² - 30L = 0
2L(L - 15) = 0
2L = 0 or L - 15 = 0
L = 0 or L = 15
Since L ≠ 0 we choose L = 15 meters
So the area of the rectangular sandbox = 3L(L - 10) = 3(15)(15 -10) = 45 × 5 = 225 m²
Answer:
C
Step-by-step explanation:
6x^2 + 1 <= 0
6x^2 <= -1
x^2 <= -1/6
Since we cannot take the square root of a negative number, there is no solution.
270 minutes = 4,5 hours = 4 hours and 30 minutes
60 minutes = 1 hour
63 miles per 270 minutes
x miles per 1 hour = 60 minutes
![\dfrac{63[miles]}{x[miles]} = \dfrac{270[minutes]}{60[minutes]}](https://tex.z-dn.net/?f=%5Cdfrac%7B63%5Bmiles%5D%7D%7Bx%5Bmiles%5D%7D%20%3D%20%5Cdfrac%7B270%5Bminutes%5D%7D%7B60%5Bminutes%5D%7D)
![x=14[miles]](https://tex.z-dn.net/?f=x%3D14%5Bmiles%5D)
His average speed is 14 miles per hour.
<em>:)</em>
