When divided by 2 we get perfect square
<span>(2^n * 3^m) / 2 = 2^(n-1) * 3^m is a perfect square </span>
(n-1) and m are divisible by 2
<span>When divided by 3 we get perfect cube </span>
<span>(2^n * 3^m) / 3 = 2^n * 3^(m-1) is a perfect cube </span>
n and (m-1) are divisible by 3
<span>(n-1) divisible by 2 & n divisible by 3 → n = 3 </span>
<span>m divisible by 2 & (m-1) divisible by 3 → m = 4
</span><span>Number = 2³ * 3⁴ = 648
</span>648/2 = 324 = 18²
<span>648/3 = 216 = 6³
</span>ANSWER: 648
Answer:
40 grams of 13% alcohol solution and 10 grams of 18% alcohol solution.
Step-by-step explanation:
13%(x) + 18%(50-x) = 14%*50g Multiply them all
0.13x + (9-0.18x) = 7
0.13x-0.18x + 9 = 7 Simplify the equation and subtract 0.13x from 0.18x
9-0.05x = 7 Add 0.05x to each side
9 = 7+0.05x Subtract 7 from both sides
0.05x = 2 Multiply each side by 100
5x = 200 Divide both sides by 5
x = 40
50 - 40 = 10
40 grams and 10 grams
Your welcome
Answer:
0.25
Step-by-step explanation:
First, you distribute the equation.
2(2x+3)-2=5
4x+6-2=5
Then, you combine like terms.
4x+6-2=5
4x+4=5
Next, you subtract 4 from each side.
4x+4=5
4x+4-4=4x
5-4=1
4x=1
Finally, you divide each side by 4.
4x/4
1/4
(4x/4 you'd end up with x)
Answer: x=1/4
In the second case you have $4.59 per 20 ounces
Thus take 4.59 / 20 and you get $0.2295 per ounce or almost 23 cents per ounce
Hope it helps
