Solve for x over the real numbers:
x^2 - 4 x = 5
Subtract 5 from both sides:
x^2 - 4 x - 5 = 0
x = (4 ± sqrt((-4)^2 - 4 (-5)))/2 = (4 ± sqrt(16 + 20))/2 = (4 ± sqrt(36))/2:
x = (4 + sqrt(36))/2 or x = (4 - sqrt(36))/2
sqrt(36) = sqrt(4×9) = sqrt(2^2×3^2) = 2×3 = 6:
x = (4 + 6)/2 or x = (4 - 6)/2
(4 + 6)/2 = 10/2 = 5:
x = 5 or x = (4 - 6)/2
(4 - 6)/2 = -2/2 = -1:
Answer: x = 5 or x = -1
Answer:
His gain percent would have been 8%
Step-by-step explanation:
The key to answering this question is to first calculate the price at which the wheat flour was bought.
Mathematically;
% profit = (selling price-cost price)/cost price * 100%
Let the cost price be $x
Thus;
% profit = (30-x)/x * 100
20 = 100(30-x)/x
20x = 3000-100x
100x + 20x = 3000
120x = 3000
x = 3000/120
x = Rs 25
So let’s assume he sold at Rs 27
His profit would have been 27-25 = 2
His gain or loss percentage would’ve been;
2/25 * 100/1 = 200/25 = 8% (gain, since selling price is greater than the cost price)
Answer:
The middle slab is 2 cubic feet.
Step-by-step explanation:
The problem presents the information: Mr. Alvarez makes a walkway out of 3 cement slabs.
However, he uses 14 Cubic feet of cement to make the walkway. Each square slab has a volume of 4 cubic feet.
Mr. Alvarez makes the way with 3 cement slabs (NC), each cement slab is 4 cubic feet (UC). It means, the cubic feet for the 3 cement slabs (CS) are:
CS = NC* UC = 3*4 = 12 cubic feet.
It means Mr. Alvarez uses 12 cubic feet with 3 cement slabs.
Mr. Alvarez used in total of 14 cubic feet of cement (TC). At this moment he used 12 cubic feet of cement (CS). It means, there will be a part of the cement slab used (PC).
PC = TC - CS = 14 - 12 = 2 Cubic feet.
Finally, the middle slab is 2 cubic feet of cement.
Find the unit rate :
4 notebooks for 7 bucks.......7/4 = 1.75 per notebook
10 folders for 2.50....2.50/10 = 0.25 per folder
so 5 notebooks = 5(1.75) = 8.75
6 folders = 6(0.25) = 1.50
for a total of : (8.75 + 1.50) = 10.25 <==
Answer:
Here, I did the assignment. I wish you good luck!
