Answer:
x = 9
Step-by-step explanation:
-5(1 + 1x) = -50
-5 + -5x = -50
-5 + -5x + 5 = -5x
-50 + 5 = -45
-5x = -45
-5x / -5 = x
-45 / -5 = 9
x = 9
Given that
(2/x)+(3/y) = 13--------(1)
(5/x)-(4/y) = -2 -------(2)
Put 1/x = a and 1/y = b then
2a + 3b = 13 ----------(3)
On multiplying with 5 then
10a +15 b = 65 -------(4)
and
5a -4b= -2 ----------(5)
On multiplying with 2 then
10 a - 8b = -4 -------(6)
On Subtracting (6) from (4) then
10a + 15b = 65
10a - 8b = -4
(-)
_____________
0 + 23 b = 69
______________
⇛ 23b = 69
⇛ b = 69/23
⇛ b =3
On Substituting the value of b in (5)
5a -4b= -2
⇛ 5a -4(3) = -2
⇛ 5a -12 = -2
⇛ 5a = -2+12
⇛ 5a = 10
⇛ a = 10/5
⇛ a = 2
Now we have
a = 2
⇛1/x = 2
⇛ x = 1/2
and
b = 3
⇛1/y = 3
⇛ y = 1/3
<u>Answer :-</u>The solution for the given problem is (1/2,1/3)
<u>Check</u>: If x = 1/2 and y = 1/3 then
LHS = (2/x)+(3/y)
= 2/(1/2)+3/(1/3)
= (2×2)+(3×3)
= 4+9
= 13
= RHS
LHS=RHS is true
and
LHS=(5/x)-(4/y)
⇛ 5/(1/2)- 4/(1/3)
⇛(5×2)-(4×3)
⇛ 10-12
⇛ -2
⇛RHS
LHS = RHS is true
100/100 x 85/100x 23/100=
Answer:
See below.
Step-by-step explanation:
For item 2:
The Net Price Rate = 276 / 460 = 0.60 = 60 % (answer).
Item 3: Net Price Rate = 3247 * 100 / 3820 = 85% (answer).
Item 4 Net Price Rate = 675.11 / * 100 / 987 = 68.4%. (answer).
Item 5 Item's Net Price = 987 * 0.675 = $666.23 (answer).
Item 7 Net price Rate = 2945* 100 / 4750 = 62%. (answer).
Item 8: First find the list place $x:
0.90* 0.80 * 0.70x = 252 ( the 0.90 , 0.80 and 0.70 come from 100 - 10% = 1 - 0.10 = 0.90 and so on)
0.504 x = 252
x = $500
Answer is List Price = $500 and Net Price Rate = 50.4%.
Item 10 List price = 2890.65 / 0.35 = $8259. (answer)
