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Westkost [7]
3 years ago
12

You need a 55% alcohol solution. On hand, you have a 330 mL of a 80% alcohol mixture. How much pure water will you need to add t

o obtain the desired solution?
helpppppppp
You will need.............
mL of pure water
to obtain............
mL of the desired 55% solution.
Mathematics
1 answer:
Elanso [62]3 years ago
3 0

y = amount needed at 55% alcohol.

x = amount of pure water, or 0% alcohol

so, you have on hand 330 mL of 80% alcohol, so how much alcohol only is there on that mixture?  well, is 330 mL, so 80% of 330 is 330 * (80/100)  = 330 * 0.8 = 264 mL.

likewise, let's convert the other perecentage values to deciaml, bearing in mind that pure water is, well just pure water, it has no alcohol, or we can say that it has 0% alcohol.

\bf \begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{mL of }}{amount}\\ \cline{2-4}&\\ \textit{on hand}&330&0.8&264\\ \textit{pure water}&x&0&0x\\ \cline{2-4}&\\ mixture&y&0.55&0.55y \end{array}~\hfill \begin{cases} 330+x=\boxed{y}\\\\ 264+0x = 0.55y \end{cases}

\bf \stackrel{\textit{substituting on the 2nd equation}}{264+0x=0.55\left( \boxed{330+x} \right)}\implies 264=181.5+0.55x\implies 82.5=0.555x \\\\\\ \cfrac{82.5}{0.55}=x\implies 150=x

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PLZ HELP SOON
Elanso [62]
13/8 = 1 5/8

Since 13/8 = 1 5/8, A and B cannot be correct.

5/8 > 1/2

Since 5/8 > 1/2, 13/8 is closer to 2 than to 1. Therefore, the answer is D. closer to 2 than to 1.
7 0
3 years ago
Please help! ! ! ! !
Vladimir [108]
B is the answer how you do good
3 0
3 years ago
Choose the equation below that represents the line passing through the point -3,-1 with the slope of four
tresset_1 [31]

Answer:

y+1 = 4(x+3)

Step-by-step explanation:

To write the equation of a line use the point slope form by substituting m = 4 and the point (-3,-1).

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2 years ago
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mel-nik [20]

Answer:

A(r)=15-3r

Step-by-step explanation:

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5 0
3 years ago
Find the product of 487.9573 and 1,000.
maria [59]
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As you can see, the first number has a decimal point, and the second number is 1000. You can drop the 0s in the 1000 leaving 1 to multiply with the first number. Simply move the decimal point to the right based on the number of 0s there are on the second number.

Since, 1000 has three 0s. Move the decimal point 3 times to the right of the number. So, from 487.9573 to 487957.3

If the function is division but the numbers are the same, you must move the decimal point to the left. 
 

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