Answer:
2.5 Hours
Step-by-step explanation:
150 is the largest number up there. So if you divide 150 by the number of minutes in a hour (which is 60), you would get 2.5 hours.
Hope this helps!
It would take him one year and 4 months to pay all his taxes m=16 months
Answer:
87.73 inches
Step-by-step explanation:
We are given that the dimensions of the rectangular doorway are,
Length = 6 ft 8 inches = 80 inches and Width = 3 feet = 36 inches.
Using Pythagoras Theorem, we will find the diagonal of the rectangular doorway.
i.e. 
i.e. 
i.e. 
i.e. 
i.e. Hypotenuse = ±87.73 inches
Since, the length cannot be negative.
So, the length of the diagonal is 87.73 inches.
As, the largest side of a rectangle is represented by the diagonal.
So, the largest dimension that will fit through the doorway without bending is 87.73 inches.
-84 > -6(2 - 3b)
<em><u>Distributive property.</u></em>
-84 > -12 + 18b
<em><u>Add 12 to both sides.</u></em>
-72 > 18b
<em><u>Divide both sides by 18.</u></em>
-4 > b
The value of b is less than -4
y=x^2 + x - 2
x + y = 1
Replace y in the second equation:
x + x^2 + x -2 = 1
Simplify:
x^2 + 2x -2 = 1
Subtract 1 from both sides:
x^2 + 2x -3 = 0
Factor:
(x-1) (x+3) = 0
Solve for both x's:
x = 1 and x = -3
Now replace x in the second equation and solve for y using both x values:
1 + y = 1, y = 0
-3 + y = 1, y = 4
Now you have (1,0) and (-3,4) as solutions for (x,y)
XY = x times y:
1 x 0 = 0
-3 x 4 = -12
The answer would be -12
