1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nataly_w [17]
3 years ago
14

How much of a 14% iodine solution should be added to 89 ounces of a 47% iodine solution to get a 29% solution

Mathematics
1 answer:
Elza [17]3 years ago
6 0
Whatever% of anything is just (whatever/100) * anything.

x = ounces of 14% iodine.

y = ounces of 29% iodine.

we know that in a 14% iodine solution, 14% is iodine and the rest is something else, we also know that "x" ounces of the solution have 14% of iodine, how much is that?  (14/100) * x, or 0.14x.

likewise, in the 89 ounces of 47% solution there is (47/100) * 89 of iodine.

and likewise as well, in "y" ounces of 29% iodine there is (29/100) * y, or 0.29y of iodine.

bearing in mind that, whatever "x" and "y" may be, x + 89 = y, and that the sum of the iodine amounts also will equate 0.29y.

\bf \begin{array}{lccclll}
&\stackrel{ounces}{amount}&\stackrel{\%~of~iodine}{quantity}&\stackrel{iodine~oz}{amount}\\
&------&------&------\\
\textit{14\% solution}&x&0.14&0.14x\\
\textit{47\% solution}&89&0.47&41.83\\
------&------&------&------\\
mixture&y&0.29&0.29y
\end{array}
\\\\\\
\begin{cases}
x+89=\boxed{y}\\
0.14x+41.83=0.29y\\
--------------\\
0.14x+41.83=0.29\left( \boxed{x+89} \right)
\end{cases}
\\\\\\
0.14x+41.83=0.29x+25.81\implies 16.02=0.15x
\\\\\\
\cfrac{16.02}{0.15}=x\implies 106.8=x
You might be interested in
If the volume of a cube is 27 metre cube find one of side​
Irina-Kira [14]
All the sides are 3 since volume is L*W*H you get 3*3*3 = 9*3 = 27
8 0
3 years ago
The size of a TV is measured by its diagonal. You want to buy a TV that has a 32
ANEK [815]

The width of the TV is 27.9 inches

Step-by-step explanation:

Given,

Diagonal of TV = 32 inch

Height of TV = 15.7 inch

The diagonal makes the TV into a right triangle,

Therefore,

Diagonal = hypotenuse = c = 32 inch

Height = perpendicular = a = 15.7 inch

Width = base = b

Using pythagoras theorem

a^2+b^2=c^2\\(15.7)^2+b^2=(32)^2\\246.49+b^2=1024\\b^2=1024-246.49\\b^2=777.51

Taking square root on both sides

\sqrt{b^2}=\sqrt{777.51}\\b=27.88

Rounding off to nearest tenth

b = 27.9 inches

The width of the TV is 27.9 inches

Keywords: Pythagoras theorem, square root

Learn more about square root at:

  • brainly.com/question/2154850
  • brainly.com/question/2367554

#LearnwithBrainly

7 0
3 years ago
At Dave's diner, 2 sandwiches and 2 drinks cost $12. You can buy 5 drinks for the cost of one sandwich.
hram777 [196]
If you’re asking for the cost of the drink, the drink would be $1. This is because 2 sandwiches would cost $10 and that means 1 sandwich would make it $5. If 2 sandwiches cost $10, the remaining $2 in the $12 dollars would be the drinks. 2 drinks for $2 would make 1 drink for $1. So the cost of 5 drinks is $5 or $1 per drink.

If confused, don’t be shy to ask :)
8 0
3 years ago
Base area:12.5m^2;height:1.2m
lilavasa [31]
? Ummm What is the question???
8 0
3 years ago
Question 12(Multiple Choice Worth 1 points)
svlad2 [7]

Answer: The answer is the square root of 5.

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • A cylinder and a cone have the same radius and height. How many times greater is the volume of the cylinder than the volume of t
    13·1 answer
  • One more question...
    9·1 answer
  • Find the slope of the line passing through the points (3, 8) and (-2, 5).
    8·2 answers
  • MARK BRAINIEST The base of a triangle is 7 3/4 inches, and the height is 4 2/3 inches. What is the area of the triangle? A) 14 4
    6·1 answer
  • A mortgage is in the amount of $600,000. The origination fee is 0.5%, the intangible tax is 0.2%, and there are 1.5 discount poi
    7·1 answer
  • At basketball practice you made 21 out of 80 shots.
    10·2 answers
  • Megan uses 2/3 cup of almonds to make 4 cups of trail mix. Using this same proportion how many cups of almonds would Megan need
    14·1 answer
  • Can I get help on this one
    14·2 answers
  • 5 miles is 8km.<br> Convert 68km to miles
    5·1 answer
  • Which function describes this graph?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!