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oksian1 [2.3K]
3 years ago
13

What is 15% of 60. create a model to prove your answer

Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0
15% = 0.15
x% of any number is 0.x * that number
so the answer is 0.15 * 60 = 9
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elena55 [62]

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The answer is square root of 6.909877
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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
What is the perimeter of this figure? fractions
Alona [7]

Answer:

A

Step-by-step explanation:

You can add the numbers to get the perimeter

10 1/3 + 15 2/3 = 26

18 1/4 + 24 1/4= 42 1/2

26 + 42 1/2= 68 1/2

That is answer choice A

7 0
3 years ago
Naomi owns a food truck that sells tacos and burritos. She sells each taco for $3 and each burrito for $5.25. Naomi must sell a
Lena [83]

Answer:

3t+5.25b≥470

Each taco sells for $3, so t tacos will bring in 3t dollars. Each burrito sells for $5.25, so b burritos will bring in 5.25b dollars. Therefore, the total amount of revenue 3t+5.25b must be greater than or equal to $470:

3 0
3 years ago
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