Answer:
40
Step-by-step explanation:
Cost of the bottles of water = $0.75
Sales of the bottle= $1.05
markup Price= [(Sales of the bottle)-(Cost of the bottles of water)]/Cost of the bottles of water
= ($1.05- $0.75)/$0.75
= $0.30/$0.75
=0.40×100%
40%
=
Answer:
See explanations below
Step-by-step explanation:
Given the simultaneous equations;
2x - 3y = 9... 1
2x + y = 13 ... 2
From 2;
y = 13-2x
Substitute into 1;
2x - 3(13-2x) = 9
2x -39 + 6x = 9
8x - 39 = 9
8x = 9+39
8x = 48
x = 6
Since y = 13-2x
y = 13-2(6)
y = 13-12
y = 1
The soluton to the system of equation is (6, 1)
Given the equations;
99x + 101y = 499; .... 1 * 101
101x + 99 y = 501 ... 2 * 99
______________
9999x + 10,201y = 50,399
9999x + 9801y = 49,599
Subtract
10201y - 9801y = 50399-49599
400y = 800
y = 2
Substitute y = 2 into 1;
From 1;
99x + 101y = 499
99x + 101(2) =499
99x +202 = 499
99x = 499 - 202
99x = 198
x = 198/99
x =2
Hence the solution is (2,2)
For the equations;
49x - 57y = 172 .... * 57
57x - 49y = 252 __ * 49
____________________
2793x -3249y = 9804
2793x - 2401y = 12348
Subtract
-3249y+2401y = 9804-12348
-848y = -2544
y = 3
Substitute into 1;
49x - 57y = 172
49x - 57(3) = 172
49x - 171 = 172
49x = 171+172
49x = 343
x = 7
Hence the solution is (7, 3)
Answer:
Not larger or smaller; the areas are the same
Step-by-step explanation:
Recall that the formula for the area of a triangle of base b and height h is
A = (1/2)(b)(h).
In the first case, h = 3 ft and b = 2.5 ft. This results in an area of 3.75 ft^2.
In the second case, h = 2.5 ft and b = 3 ft. The area is the same: 3.75 ft^2.
This is because A = (1/2)(b)(h) has the same value regardless of the order in which b and h are used as multipliers.
There is no difference in the areas of the two signs. The areas are the same.
Step-by-step explanation:
solved above 8n the diagrammm
<span>18/37 if you're in Europe, 9/19 if you're in America, assuming the wheel isn't rigged.
If the roulette wheel is a fair wheel, the odds on any given spin of the wheel is unaffected by any previous spins of the wheel. So no matter how many times the wheel has consecutively come up red, the next spin can still come up red, black, or green based upon the number of each color is present on the wheel. The difference between the odds for Europe vs America has to do with a quirk about roulette. In Europe, the roulette wheel has 37 slots, 18 red, 18 black, and 1 green. In America, the roulette wheel has 38 slots, 18 red, 18 black, and 2 green.
Although in this case, I'd be wary about assuming that the wheel isn't rigged. The odds of 270 consecutive red on a fair wheel is only 1 in 3.09663x10^84 in Europe, or 1 in 4.14949x10^87 in America.</span>
