Answer:
12
Step-by-step explanation:
3 ÷ 1/4
Copy dot flip
Keep the first number, change the divide to multiply and take the reciprocal of the 2nd number
3 * 4/1
12
Answer:
Step-by-step explanation:
The Ishango bone is a bone tool, dated to the Upper Paleolithic era. It is a dark brown length of bone, the fibula of a baboon, with a sharp piece of quartz affixed to one end, perhaps for engraving. It was first thought to be a tally stick
Answer:
(1, 6 )
Step-by-step explanation:
5x + 2y = 17 → (1)
4x + y = 10 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the y- term
- 8x - 2y = - 20 → (3)
Add (1) and (3) term by term to eliminate y
- 3x + 0 = - 3
- 3x = - 3 ( divide both sides by - 3 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for x
Substituting into (1)
5(1) + 2y = 17
5 + 2y = 17 ( subtract 5 from both sides )
2y = 12 ( divide both sides by 2 )
y = 6
solution is (1, 6 )
Note that the 2nd equation can be re-written as y=8x-10.
According to the second equation, y=x^2+12x+30.
Equate these two equations to eliminate y:
8x-10 = x^2+12x+30
Group all terms together on the right side. To do this, add -8x+10 to both sides. Then 0 = x^2 +4x +40. You must now solve this quadratic equation for x, if possible. I found that this equation has NO REAL SOLUTIONS, so we must conclude that the given system of equations has NO REAL SOLUTIONS.
If you have a graphing calculator, please graph 8x-10 and x^2+12x+30 on the same screen. You will see two separate graphs that do NOT intersect. This is another way in which to see / conclude that there is NO REAL SOLUTION to this system of equations.
Answer: He still owns 64% of the Mr.Williams' original parking.
Step-by-step explanation:
Let x = Area of the original parking plot.
First he sold 20% of his lot to neighbor .
Sold plot = 20% of x = 0.20x [Replace 'of' by '×' and divide number by 100 to remove %]
Reminder= x-0.20x= (1-0.20)x=0.80x
Again he sold 20% of the remainder .
Sold plot = 20% of (0.80x) = 0.20 (0.80x)
= 0.16x
Remainder plot = 0.80x-0.16x= 0.64x
Percent of Mr.Williams' original parking lot does he still own = 
Hence, he still owns 64% of the Mr.Williams' original parking.
