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zepelin [54]
3 years ago
10

Which equation represents an exponential function with an initial value of 500?

Mathematics
1 answer:
Lana71 [14]3 years ago
3 0

Answer:

b

Step-by-step explanation:

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How much pure acid should be mixed with 6 gallons of a 20% acid solution in order to get a 90% acid solution?
beks73 [17]
So, how much acid is there in 6 gallons?  well is 20% acid or (20/100), so the amount of acid in it just (20/100) * 6 or 1.2, the rest is say water.

now, if we want a 90% solution, and say we add "y" gallons, how much acid is in it?  well (90/100) * y, or 0.9y.

now let's add "x" gallons of pure acid, now, pure acid is just pure acid, so is 100% acid, how much acid is there in it?  (100/100) * x, or 1x or just x.

we know whatever "x" and "y" amounts are, they -> x + 6 = y

and we also know that x + 1.2 = 0.9y

\bf \begin{array}{lccclll}
&\stackrel{gallons}{acid}&\stackrel{acid~\%}{quantity}&\stackrel{acid~gallons}{quantity}\\
&------&------&------\\
\textit{pure acid}&x&1.00&x\\
\textit{20\% sol'n}&6&0.20&1.2\\
------&------&------&------\\\
mixture&y&0.90&0.9y
\end{array}
\\\\\\
\begin{cases}
x+6=\boxed{y}\\
x+1.2=0.9y\\
----------\\
x+1.2=0.9\left( \boxed{x+6} \right)
\end{cases}
\\\\\\
x+1.2=0.9x+5.4\implies x-0.9x=5.4-1.2\implies 0.1x=4.2
\\\\\\
x=\cfrac{4.2}{0.1}\implies x=\stackrel{gallons}{42}
3 0
3 years ago
Roger's flight took off at 9:27 a.m. The flight is scheduled to land at 1:05 p.m. If the flight lands on schedule, how long is t
arsen [322]
So Roger flight left at exactly 9.27:am and it will land at 1:05pm

So count on to 12:27 will be 3 hours and subtract from 5 because 65 is 05 3hours and 38mins
5 0
2 years ago
Read 2 more answers
Ryan’s drew rectangle ABCD on the grid . What’s the answer ?
blsea [12.9K]
I think it’s (3,4) the third answer
4 0
2 years ago
How much is 18 + 8 ÷ 2 + 4​
Lisa [10]

Answer: 26

Step-by-step explanation: The order of operations says to divided 8 and 2 first, which gives you 4. 18+4=22. Plus 4 again is 26

4 0
3 years ago
Please help me ASAP i only have 5 minutes left​
raketka [301]

Answer:

A.6,0,1,4

Step-by-step explanation:

3 0
2 years ago
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