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Alisiya [41]
3 years ago
6

Andre has $12.30 in pennies, nickels, dimes, and quarters. If he has the same number of each coin, how many of each does he have

?
3.075
.30
30
5
Mathematics
1 answer:
Amanda [17]3 years ago
4 0
The answer is 3.075. 
If you divide 12.30 4 you'll get 3.075.
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Doreen Schmidt is a chemist. She needs to prepare 28 ounces of a 8% hydrochloric acid solution. Find the amount of 14% solution
scZoUnD [109]

Let, amount of 14% solution required is x ounces.

So, amount of 8% solution will be ( 28 - x ) ounces.

Now, mathematical equation is :

\dfrac{14x}{100}+\dfrac{7(28-x)}{100}= \dfrac{8\times 28}{100}\\\\14x + 196  - 7x = 224\\\\7x = 28\\\\x = 4\ ounces

Therefore, amount of 14% solution and 8% solution required is 4 ounces and 24 ounces respectively.

Hence, this is the required solution.

5 0
3 years ago
Write the equation in slope-intercept form and find the equation of a line through the given point (a) parallel and (b) perpendi
skelet666 [1.2K]

keeping in mind that parallel lines have the same exact slope, hmmm what's the slope of 4x - 2y = 3 anyway?  well, let's put it in slope-intercept form firstly.


\bf 4x-2y=3\implies 4x-3=2y\implies \cfrac{4x-3}{2}=y
\\\\\\
\cfrac{4x}{2}-\cfrac{3}{2}=y\implies \stackrel{slope}{2}x-\cfrac{3}{2}=y


a)


so we're looking for a line whose slope is 2 and passes through 2,1.


\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})~\hspace{10em}
slope = m\implies 2
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-1=2(x-2)
\\\\\\
y-1=2x-4\implies \blacktriangleright y=2x-3 \blacktriangleleft


b)


\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}
{\stackrel{slope}{2\implies \cfrac{2}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{2}}}
\\\\[-0.35em]
\rule{34em}{0.25pt}


\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})~\hspace{10em}
slope = m\implies -\cfrac{1}{2}
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-1=-\cfrac{1}{2}(x-2)
\\\\\\
y-1=-\cfrac{1}{2}x+1\implies \blacktriangleright y=-\cfrac{1}{2}x+2 \blacktriangleleft

4 0
3 years ago
What's the difference between titanium and steel
babunello [35]
Titanium is much harder and lasts longer. meaning it takes longer to oxidate 
5 0
3 years ago
Factor the polynomical completely. m^4+13m^2+36
mr_godi [17]
m^4+13m^2+36= (m^2+4)(m^2+9)
7 0
3 years ago
72 rounded to the tens
bogdanovich [222]

Answer:

70

Step-by-step explanation:

5 and above, give it a shove.

4 and below, let it go

7 0
3 years ago
Read 2 more answers
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