1/52, as there is only 1 ace of hearts in a standard deck (no jokers) of 52 cards.
Answer:
I'd say you need to be more specific.
Step-by-step explanation:
"Different" doesn't tell you much.
Consider the equations ...
These equations are "different", but they are <em>dependent</em>.
_____
I'd mentally (or actually) put the equations in the same form and compare the coefficients of x and y. If they have different ratios, the system is independent and consistent.
If they have the same ratio, the system will not have a single solution. Whether there is no solution or an infinite number of solutions depends on the constant, which I would examine next.
The system above can be put in the form
In both cases, the ratio of the x coefficient to the y coefficient is 2/-1 = 4/-2 = -2. This means the lines are at least parallel, if not identical. The numbers in the second equation are all 2 times the numbers in the first equation, so the equations are <em>dependent</em>, and there are an infinite number of solutions. (Both describe the same line.)
If the second equation were 4x -2y = 1, then the two equations would be describing parallel lines, so they would be called <em>inconsistent</em>.
Answer:
x = 7
y = 12
Step-by-step explanation:
To do this question you have to know your exponent rules, but also you need to know how to add fractions.
To multiply
6^(1/3) × 6^(1/4)
you can keep the 6 and just add the exponents.
That's why the answer is set up on the form 6^(x/y)
To add fractions, you need a common denominator, it is 12.
1/3 is 4/12.
1/4 is 3/12.
So 1/3 + 1/4
is the same as:
4/12 + 3/12
= 7/12
7/12 is the exponent you are looking for.
x = 7 and y = 12.
6^(1/3) × 6^(1/4)
=6^(7/12)
