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Elan Coil [88]
3 years ago
12

Correct answer get the BRAINLIEST ANSWER!

Mathematics
1 answer:
OLga [1]3 years ago
8 0
Here is how I completed the problem:

I started by creating a ratio:

\frac{x}{0.18} + \frac{360}{0.10} = \frac{x+360}{0.15}

<em>Where 'x' is the desired amount of the 18% solution of sulfuric acid. 

</em>From here, I solved for 'x':
<em>
</em>\frac{0.10x}{0.018} + \frac{360(0.18)}{0.018} = \frac{x+360}{0.15}
\frac{0.10x}{0.018} + \frac{64.8}{0.018} = \frac{x+360}{0.15}
\frac{0.10x+64.8}{0.018} = \frac{x+360}{0.15}
0.15(0.10x+64.8) = 0.018(x+360)
0.015x+9.72 = 0.018x+6.48
0.003x = 3.24
x = 1080

∴You will need to add 1080ml of 18% Sulfuric Acid in order to obtain a 15% solution.
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A radioactive compound with mass 470 grams decays at a rate of 3% per hour. Which
xxTIMURxx [149]

After 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.

<h3>What is exponential decay?</h3>

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We know the decay can be as:

\rm C = a(1-r)^t

We have:

a = 470 grams

r = 3% = 0.03

t = 6 hours

\rm C = 470(1-0.03)^6

C = 391.49 grams

Thus, after 6 hours the radioactive compound with mass 470 grams becomes 391.49 grams and the equation will be C is equal to 470(1-0.03)^6.

Learn more about the exponential decay here:

brainly.com/question/14355665

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3 0
2 years ago
2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation whic
Artemon [7]
<h2><u>Problem Solving</u>:-</h2>

2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.

<h2><u>Solution</u>:-</h2>

Since the distance d varies directly as the time t, then d = kt.

Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.

\sf{\rightarrow{d =  kt}}

\sf\rightarrow{20  = 2k }

\sf\rightarrow{K= \frac{20}{2} }

\sf\rightarrow{K={\color{magenta}{10}}}

<h2><u>Answer</u>:-</h2>
  • Therefore, the constant of variation is 10.
3 0
3 years ago
Solve this and show work​
just olya [345]

Answer:

1.71

Step-by-step explanation:

x/4 = 3/7

4 * 3 = 12

12/7 = 1.714285714285714

Rounded to the nearest hundreths, the answer is  1.71

6 0
3 years ago
What’s the inequality of N&lt;-1
Juliette [100K]

Answer:

ℎℎ ℎ

Step-by-step explanation:

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7 0
2 years ago
Marley runs 5 yards down the track from point A to point B, and then stops and runs
julia-pushkina [17]

Answer:

\sqrt{61}=AC or 7.8102=AC

Step-by-step explanation:

If we connect a line from point A to point C we create a triangle, and we can use pythagorean theorem to find this distance. So the line from point A to point C will be our hypotenuse and the other two distances will be out side lengths.

5^{2}+6^{2}=AC^{2}

25+36=AC^{2}

61=AC^{2}

\sqrt{61}=AC or 7.8102=AC

3 0
3 years ago
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