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
The amount of bacteria in a petri dish increases at a rate proportional to the amount present. At time t=0, the amount of bacter
Lilit [14]

Answer:

Step-by-step explanation:

Formula to be used is N=N0e^(kt)

N0 - amount of bacteria at time 0, which is 10g

t=2, 30g

30 = 10*e^(k*2)

3 = e^(2k)

2k = ln3

k = 0.5ln3

At t=6:

N = 10*e^(0.5ln3*6)

N = 10e^(3ln3)

N = 10e^ln27

N = 10*27 =270

So the amount of bacteria at t=6 is 270

6 0
3 years ago
Order the fractions and decimals in descending order 2.3,2 4/5,2.6
ryzh [129]

2 4/5 , 2.6 , 2.3 would be your answers in descending order. From greatest to least.

3 0
3 years ago
HELP! 50 POINTS, PLUS 25+ IF YOUR ANSWER IS THE BEST!
stich3 [128]

Answer:

Step-by-step explanation:

1. rotation 90 degrees clockwise

2.reflection over y axis

3.rotation 180

4.reflection over x axis

5.rotation 90 degrees counter clockwise

7 0
2 years ago
Write an equation in point slope form that represents the line that passes through the point (-2,-1) and has a slope of 5. Then,
jeka57 [31]
Point-slope equation=y+1=5(x+2)
slope intercept form=5x+9
8 0
2 years ago
5 • 3n algebra functions
jok3333 [9.3K]
5 x 3n = 15n

^ This is your answer to your question ^
6 0
3 years ago
Other questions:
  • The present value is $2000 and the account is at 5% simple interest. How long will it take to achieve a future value of $3000?Ye
    9·1 answer
  • The first term of an arithmetic progression is 30 and the common difference is -1.5. Find the value of the 25th term
    8·2 answers
  • The first term of an arithmetic progression is -3 and the common difference is 8. What is the 28th term?
    11·1 answer
  • you have one case of soap bars in there is 150 bars in a case you use 300 bars of soap per day how many cases do you need to ord
    15·1 answer
  • Tommy is drawing a triangle with angles measuring 41° and 123°, and the included side measures 6 cm.
    7·1 answer
  • Simplify the expression:Two-thirds divided by (negative 4) minus (one-sixth minus StartFraction 8 over 6 EndFraction)
    14·2 answers
  • Tell whether the angles are adjacent or vertical. Then find the value
    15·2 answers
  • A scientist wants to know if the color of the water affects how much animals drink. The average amount of water each animal drin
    14·1 answer
  • your neighbor is mowing their 6 yards by 8 yards rectangular lawn diagonally. How far did your neighbor mow the diagonal from co
    7·1 answer
  • Tamara is considering two different groups for her relay-race team. Listed below are the different practice times, in minutes, r
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!