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3 years ago

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A chemist mixes a 10% hydrogen peroxide solution with a 25% hydrogen peroxide solution to create 30 liters of a 15% hydrogen per

oxide solution. How many liters of the 10% solution did the chemist use to make the 15% solution?

2 answers:

kupik [55]3 years ago

6 0

The answer is 20 liters.

Alenkasestr [34]3 years ago

5 0

Answer:

the answer is 20 liters

Step-by-step explanation:

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Find the coordinates of the point three tenths<br><br> of the way from A(-4, -8) to B(11, 7)

Leviafan [203]

let's first off take a peek at those values.

let's say the point with those coordinates is point C, so C is 3/10 of the way from A to B.

meaning, we take the segment AB and cut it in 10 equal pieces, AC takes 3 pieces, and CB takes 7 pieces, namely AC and CB are at a 3:7 ratio.

$\bf ~~~~~~~~~~~~\textit{internal division of a line segment}
\\\\\\
A(-4,-8)\qquad B(11,7)\qquad
\qquad \stackrel{\textit{ratio from A to B}}{3:7}
\\\\\\
\cfrac{A\underline{C}}{\underline{C} B} = \cfrac{3}{7}\implies \cfrac{A}{B} = \cfrac{3}{7}\implies 7A=3B\implies 7(-4,-8)=3(11,7)\\\\[-0.35em]
~\dotfill\\\\
C=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em]
~\dotfill$

$\bf C=\left(\cfrac{(7\cdot -4)+(3\cdot 11)}{3+7}\quad ,\quad \cfrac{(7\cdot -8)+(3\cdot 7)}{3+7}\right)
\\\\\\
C=\left( \cfrac{-28+33}{10}~~,~~\cfrac{-56+21}{10} \right)\implies C=\left( \cfrac{5}{10}~~,~~\cfrac{-35}{10} \right)
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill C=\left( \frac{1}{2}~,~-\frac{7}{2} \right)~\hfill$

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Trig please help.

Sergeeva-Olga [200]

Answer:

27, 13.5

Step-by-step explanation:

The area of a triangle is given by the following equation:

$A=\frac{1}{2}bh$

where:

b is the base of the triangle

h is the height of the triangle

For the first triangle in this problem we have:

b = 6 is the base

h = 9 is the height

Therefore, the area of this triangle is:

$A_1=\frac{1}{2}(6)(9)=27$

For the second triangle in this problem, we have:

b = 3 is the base

h = 9 is the height

Therefore, the area of this triangle is:

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Step-by-step explanation:

We are given,

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4 years ago