Lowest common denominator for 3,4,6 is 12
5/6 = 10/12
1/4 = 3/12
2/3 = 8/12
a)
10/12 + 3/12 = 13/12 = 1 1/12
So you need to use first and second cables
b)
3/12 + 8/12 = 11/12
To reach 1 yard Carl need 1/12 yard cable
Both denominators are 4, so we can add the numerators to place over the common denominator. The numerators are -3 and -3, which add to -6. One way to think of negative numbers is to think of IOUs, which are a way of expressing debt in money. For instance, if you go into a store and buy a $10 item, but only have $3 in your pocket, then you would have to owe the owner $7. This can be represented with -7. If you repeat the process, then you'd have 7+7 = 14 in IOUs total. This would be represented with -14
In short, adding negative numbers is really the same as adding positives, but the final result is negative
So that's why -3+-3 turns into -6. We add the two threes like normal but then make the final result negative. All throughout this process, the denominator stays at 4.
So we end up with -6 over 4 which reduces to -3 over 2. How is this reduction happening? We are simply dividing each piece by the greatest common factor 2.
-6 divided by 2 = -3
4 divided by 2 = 2
Answer:
x= 0 ,
, 
Step-by-step explanation:
Given, equation is
+
=
. →→→ (1)
Now, by cubing the equation on both sides, we get
(
+
)³ = (
)³
⇒ (15x-1) + (13x+1) + 3×
×
(
+
) = 64 x.
⇒ 28x + 3×
×
(
) = 64x.
(since from (1),
+
=
)
⇒ 12×
×
(
)= 36x.
⇒ 3x =
.
Now, once again cubing on both sides, we get
(3x)³ = (
)³.
⇒ 27x³ = (15x-1)(13x+1)(x).
⇒ 27x³ = 195x³ + 2x² - x
⇒ 168x³ + 2x² - x = 0
⇒ x(168x² + 2x -1) = 0
⇒ by, solving the equation we get ,
x = 0 ; x =
; x = 
therefore, solution is x= 0 ,
, 
$3.79 /12.5 = .3032
1/3 = .333
The 12.5 oz bag is cheaper
Answer:
if Im not mistaken it is 2
Step-by-step explanation:
2! Is the same thing as 2*1 and 2*1 is 2, so technically for factorials the higher in number you get you have to multiply all the numbers going back to one