Answer: x=24
Step-by-step explanation:
First, we know that 2/3 of something is 16. So, we are going to find 1/3. To do this, we divide 16 by 2 because 2 is the numerator. We get 8 as our answer.
Next, now we have to find the full value. To do this, we need to multiply 8 by 3 to get 3/3 (our full number-answer). When you multiply 8 by 3, you get 24 as your answer.
Finally, finish the equation. Substitute x for 24, so the equation looks like this: (24) x 2/3 = 16.
Hope this helps!
Answer:
Numerator = 2(b^2+a^2) or equivalently 2b^2+2a^2
Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3
Step-by-step explanation:
Let
S = 2b/(b+a)^2 + 2a/(b^2-a^2) factor denominator
= 2b/(b+a)^2 + 2a/((b+a)(b-a)) factor denominators
= 1/(b+a) ( 2b/(b+a) + 2a/(b-a)) find common denominator
= 1/(b+a) ((2b*(b-a) + 2a*(b+a))/((b+a)(b-a)) expand
= 1/(b+a)(2b^2-2ab+2ab+2a^2)/((b+a)(b-a)) simplify & factor
= 2/(b+a)(b^2+a^2)/((b+a)(b-a)) simplify & rearrange
= 2(b^2+a^2)/((b+a)^2(b-a))
Numerator = 2(b^2+a^2) or equivalently 2b^2+2a^2
Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3
To find the answer, we will have to find the percentage of $273 to $ 3500, and we can use the formula:
In this case:
273/3500 x 100%
=39/500 x 100%
=7.8%
Therefore the annual interest rate would be 7.8%.
Hope it helps!
Let the first odd integer = n
∴ The second <span>consecutive odd integer = n+2
∴ </span><span>The sum of the two integers = (n) + (n+2)
= 2n + 2
</span> The correct choice is option (D)
<span> D) 2n + 2
</span>
