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
KengaRu [80]
3 years ago
8

A lab technician needs 60mL of 25% acid solution for a certain experiment , but he has only 10% solution and 40% solution. How m

any milliliters of the 10% and the 40% solutions should he mix to get what he needs?
Mathematics
1 answer:
V125BC [204]3 years ago
6 0

Answer:

  • 10%: 30 mL
  • 40%: 30 mL

Step-by-step explanation:

The needed concentration is exactly halfway between the available concentrations, hence they must be mixed equally.

He should mix 30 mL each of the 10% and 40% solutions.

_____

The first step in solving any problem is to look at the given information, and at what is being asked for. Here, the mix that is being asked for is exactly halfway between the given concentrations, so you know without any further contemplation that the mix will be 50%/50% of each.

__

If the mix were something else, there are several ways the problem can be solved. I like to use a diagram that puts the available concentrations on the left in a column with the highest on top, the needed concentration in the next column in the middle, and the differences of these numbers on the diagonals in the right column.

<u>Example</u>: if the needed mix is 15%, the diagram would look like ...

   40            5

          15

   10           25

The numbers on the right tell you the proportions required (5:25 = 1:5). For this example, you need 1 part 40% solution and 5 parts 10% solution to make a mix that is 15%. That's a total of 6 parts, so each "part" is 10 mL for 60 mL of solution.

We chose this example so every number in the diagram is different, so you could see how the instructions for use apply.

__

Another way to solve this is to let a variable represent the amount needed of <em>the highest concentration</em>. If we let that variable be x, for the given problem, we can write the equation for the amount of acid in the mix as ...

  40%(x) + 10%(60 -x) = 25%(60)

  0.30x = 9 . . . . . . . . subtract 6, simplify

  x = 9/0.30 = 30 . . . . . mL of 40% solution

You might be interested in
Help me ;)<br><br> 9x-7i &gt;3(3x-7u)
uranmaximum [27]

Answer:

u>\frac{3x}{7}-\frac{9x-7l}{21}

 

Step-by-step explanation:

3 0
2 years ago
AGHI ~ AYZX. What is m H<br> N<br> 500<br> 1<br> 350<br> 950<br> Х<br> 950<br> G<br> Y<br> mZI =<br> Submit
kvv77 [185]

Answer:

is this even a problome becuse i never seen such a question

Step-by-step explanation:

5 0
3 years ago
= neage Check Find the distance between the polnts (6,-5) and (-3,-5). ​
miskamm [114]

Answer:

The answer is

<h2>9 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(6,-5) and (-3,-5)

The distance between them is

<h3>d =  \sqrt{ ({6 + 3})^{2} + ( { - 5 + 5})^{2}  }  \\   = \sqrt{ {9}^{2} +  0 }  \\  =  \sqrt{81}</h3>

We have the final answer as

<h3>9 units</h3>

Hope this helps you

4 0
3 years ago
Find the values of x and y
zhuklara [117]

You can use a tangent:

tangent=\dfrac{opposite}{adjacent}

We have opposite = 17 and adjacent = x.

\tan30^o=\dfrac{\sqrt3}{3}

substitute:

\dfrac{17}{x}=\dfrac{\sqrt3}{3}       cross multiply

x\sqrt3=(3)(17)     multiply both sides by √3

x(\sqrt3)(\sqrt3)=51\sqrt3

3x=51\sqrt3      divide both sides by 3

x=17\sqrt3

Use the Pythagorean theorem:

y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34

-------------------------------------------------------------------------------------------------

Other method.

30^o-60^o-90^o triangle.

The sides are in the ratio 1:2:\sqrt3\to17:y:x

Therefore

17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3

 


4 0
3 years ago
Find the missing angle according to the Triangle Exterior Angle Theorem
Alexxandr [17]

Answer:

k = 36

Step-by-step explanation:

By exterior angle theorem:

k \degree + 110 \degree = 146 \degree \\  \\ k \degree = 146 \degree  - 110 \degree \\  \\  k \degree = 36\degree \\  \\ k = 36

6 0
2 years ago
Read 2 more answers
Other questions:
  • What is the area in square kilometers of trapezoid with bases 5km and 7 km and height 3 km
    7·1 answer
  • Write an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation y=−13x+4.
    8·1 answer
  • What is the answer to this problem?
    13·1 answer
  • Ming made a triangular picture frame out of cardboard. The sides of the frame are 6.75 in., 6.75 in., and 8.375 in. Ming uses th
    12·2 answers
  • Which of the following is not a solution to the inequality graphed below?
    13·2 answers
  • Multiply and simplify.
    5·1 answer
  • What is the slope of this line? (6.-8) (0.-2) (-2.0)
    6·2 answers
  • Sandra wants to rent a car to take a trip and has a budget of $90. There is a fixed rental fee of $30 and a daily fee of $10. Wr
    15·1 answer
  • If f(x) = x^2 and g(x)=x+ 6 find g(f(0))
    5·1 answer
  • 1 2/3 as a decimal. Quick pls
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!