Answer:
H=310
Step-by-step explanation:
This problem is a great systems of equations problem--you have two different variables: song size and number of songs.
Let's call the number of standard version downloads (S) and the high quality downloads (H).
You can make two statements:
For number of songs downloaded: S + H = 910
For download size: 2.8(S) + 4.4(H) = 3044.
S will be the same number in both equations and H will be the same number in both equations, so to find S, we can rearrange the first statement to H = 910 - S, then substitute or plug in (910 - S) wherever you see an H in the second equation so that you have only S's in your equation. Should look like this:
2.8(S) + 4.4(910 - S) = 3044
2.8S + 4004 - 4.4S = 3044
-1.6S = -960
s = 600
Your question only asks for the standard version downloads, but to help you out in future Systems situations-
You can also solve for H once you have S by plugging it into either of your equations like this:
600 + H = 910
-600
Hope this helps!
19x-53 / x^2 + x + 2
You want to put a - ( 19 x / x^2 + x + 2 - 53/x^2 +x +2)
Using the properties of operations the given pair of expressions are not equivalent
<u>Solution:</u>
Given that, we have to use the properties of operations to determine if each pair of expressions is equivalent
<em><u>And the two expressions are:</u></em>

Now, we know that, there are four (4) basic properties of operations:
<em>Commutative, Associative, Distributive and Identity. These properties only apply to the operations of addition and multiplication.</em>
So, if we observe we can apply distributive property on 1st expression
The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

Here the resulting expression is 2 – x and it is not equivalent to 2 – 2x
Hence, the given two expressions are not equal.
Answer:
The equation is:
An identity
Has infinitely many solutions
No solution
Step-by-step explanation:
Because there is integers on both sides, we know that any attempts to fix this will either cause an identity, or a false numerical equation(an identity but <em>w r o n g</em>).(Note, an identity can either mean 2 = 2 or x = x).
Identities have infinite solutions, because it does not matter what you put in, the equation will always be true. False equations do not have a solution because they aren't even true equations.
Hope this helps!
Answer:
The answer is C.24 - 9x3 - 8x2 + 15x