<span>Let the first number be x.
Then the second number is 3x.
Then the third number is (x+100).
Sum of the numbers=500
x+3x+(x+100)=500</span>
<span>4x+(x+100)-500=0
</span><span>5x=400</span>
<span>x=80
</span><span>The first number is 80.
The second number is 240.
The third number is 180.
We can check by adding all three of those numbers together: 80+240+180 = 500
</span>
Hope this helps! If you have any questions just ask!
Answer:
x = 3
Step-by-step explanation:
Given the equation :
6x + 5=9x - 4
Collect like terms :
6x - 9x = - 4 - 5
-3x = - 9
Divide both sides by - 3
-3x / - 3 = - 9 / - 3
x = 3
Hence, x = 3
Answer:
1) s = 12.25
2) n = 3
Step-by-step explanation:
2) 6n - 1 = 4n - 5
<u> -4n -4n </u>
2n -1 = 5
<u> +1 +1</u>
<u>2n</u> = <u>6</u>
2 2
n = 3
Answer:
Step-by-step explanation:
Decay of carbon - 14 is exponential in nature . It decays as follows .
λ is called decay constant .
λ = .693 / T where T is half life .
Half life of carbon-14 is 5700 years
λ = .693 / T
= .693 / 5700
= 12.158 x 10⁻⁵ year⁻¹
N = .71 N₀
Taking ln on both sides
ln .71 = - λ t
ln .71 = - 12.158 x 10⁻⁵ t
-0.3425 = - 12.158 x 10⁻⁵ t
t = .3425 / 12.158 x 10⁻⁵
2817 years .
