A chemist needs a 20% solution of alcohol. How many liters of 15% solution should be added to 4 liters of 40% solution to get a 20% solution?

Answers

Answer 1

Answer:

16

Step-by-step explanation:

Let's call the liters x. We can write 0.15x + 0.4 * 4 = 0.2 (x + 4). When we solve for x we get x = 16 liters.


Related Questions

An OSU senior is studying for exams in psychology and economics. The student has time to read 50 pages of psychology and 10 pages of economics. Or, in the same amount of time the student could read 30 pages of psychology and 70 pages of economics. How many pages of economics can the student read instead of reading just 1 page of psychology

Answers

Answer:

3 Pages

Step-by-step explanation:

Let the pages of economics read = eLet the pages of psychology read = pLet the total time taken on each instance=t

In the first instance, the student has time to read 50 pages of psychology and 10 pages of economics.

t=50p+10e

The student could read 30 pages of psychology and 70 pages of economics.

t=30p+70e

Since the two situations take the same amount of time, we have:

50p+10e=30p+70e

Collect like terms

50p-30p=70e-10e

20p=60e

Divide both sides by 20

p=3e

Therefore, in the time it will take the student to read 1 page of psychology, the student can read 3 pages of economics.

I need help with this one

Answers

Answer:

-12

Step-by-step explanation:

A package of 10 batteries is checked to determine if there are any dead batteries. Four batteries are checked. If one or more are dead, the package is not sold. What is the probability that the package will not be sold if there are actually three dead batteries in the package

Answers

Answer:

There is a probability of 76% of not selling the package if there are actually three dead batteries in the package.

Step-by-step explanation:

With a 10-units package of batteries with 3 dead batteries, the sampling can be modeled as a binomial random variable with:

n=4 (the amount of batteries picked for the sample).p=3/10=0.3 (the proportion of dead batteries).k≥1 (the amount of dead batteries in the sample needed to not sell the package).

The probability of having k dead batteries in the sample is:

[tex]P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}[/tex]

Then, the probability of having one or more dead batteries in the sample (k≥1) is:

[tex]P(x\geq1)=1-P(x=0)\\\\\\P(x=0) = \dbinom{4}{0} p^{0}q^{4}=1*1*0.7^4=0.2401\\\\\\P(x\geq1)=1-0.2401=0.7599\approx0.76[/tex]

Find the exact length of the third side. (Pythagorean Theorem)

Answers

Answer:

3 sqrt(5) =c

Step-by-step explanation:

We can use the pythagorean theorem

a^2 + b^2 = c^2

3^2 + 6^2 = c^2

9+36 = c^2

45 = c^2

Take the square root of each side

sqrt(45) = sqrt(c^2)

sqrt(9)sqrt(5) = c

3 sqrt(5) =c

what is the midpoint of the segment shown below?
(1, 2) (1,-5)

A. (1, -3/2)
B. (2, -3/2)
C. (2, -3)
D. (1, -3)

Answers

Answer:

The answer is A (1,-3/2)

Step-by-step explanation:

Add both x coordinates, divide by 2

Add both y coordinates, divide by 2

What is the distance from point N to line LM in the figure below?

Answers

Answer:

The correct answer would be F. 7.8

Step-by-step explanation:

the line is more or less a reflection of segment ON

so they are more or less the same.

I hope this helped you!

What are two possible measures of the angle below?

Answers

The smaller angle, inside the bold lines, is -90 degrees.

The larger angle, outside the bold lines, is 270 degrees.

Angles can be measured in increments between -90° and 630°.

What angles are created when two lines cross one other?

Two straight lines are considered to be intersecting if they come together at the same point. The intersection of two lines is known as the junction point. When two lines intersect, four angles are produced. The sum of the four angles is always 360 degrees.

Two straight lines that cross one other and produce right angles are called perpendicular lines. There are four right angles created when two perpendicular lines cross.

There are two types of angle connections produced when lines intersect:

Congruent opposite angles

Nearby angles are helpful

The information is

Let O (0, 0) be the origin, where the y and x axes must connect.

Thus, the angles on the four quadrants of the axis are produced.

The fourth quadrant's crossing lines create an angle that is given by For, the anticlockwise measure, A = -90°.

B = 360n - 180° for the clockwise measure, and n = 3 in this case.

Hence, when we simplify, we obtain

The second angle has a length of = 630°.

As a result, the angles are 90° and 630°.

Go here to find out more about angles created by intersecting lines.

https://brainly.com/question/16315358

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what is the solution set for the equation (x+3)(x-8)=0

Answers

Answer:

x= -3    x=8

Step-by-step explanation:

(x+3)(x-8)=0

We can use the zero product property to solve

x+3 =0   x-8 =0

x= -3    x=8

Answer:

x=8

Step-by-step explanation:

Is (-3,2) a solution of 7x+9y>-3



Yes or no

Please help :))

Answers

Answer:

(-3,2) is not a solution.

Step-by-step explanation:

The solution of a linear inequality in two variables like [tex]Ax + By > C[/tex] is an ordered pair [tex](x, y)[/tex] that produces a true statement when the values of x and y are substituted into the inequality.

To find if (-3,2) is a solution of [tex]7x+9y>-3[/tex], you must substitute this point into the inequality.

                                                 [tex]7\left(-3\right)+9\left(2\right)>-3\\\\-21+18>-3\\\\-3>-3[/tex]

Because -3 is not greater than -3, (-3,2) is not a solution.

Answer:

No

Step-by-step explanation:

Khan academy

Please help. I’ll mark you as brainliest if correct

Answers

Answer:

12 + -6i

a=12

b=-6

Step-by-step explanation:

( -4 + 3i ) ( -3 - 2i )

-4 * -3 = 12

3i * -2i= -6i

12 + -6i

11. A square with sides
3/8
inch has a total area of:

Answers

Answer:

[tex](\frac{3}{8}\,in )^2=\frac{9}{64} \,in^2=0.140625\,\,i^2[/tex]

Step-by-step explanation:

Recall that the formula for the area of a square of side L is: [tex]Area=L^2[/tex]

Therefore, for this case:

[tex]Area=L^2\\Area = (\frac{3}{8} \,in)^2\\Area=\frac{9}{64} \,\,in^2\\Area=0.140625\,\,in^2[/tex]

You are at a playground with a see-saw and a large merry-go-round. You put your phone on the see-saw and find it slides when it is tilted at an angle of 38 degrees. How far can you put your phone from the center of the merry-go-round (in m) when it makes one rotation every 3 s

Answers

Answer:  r_max = 1.75m

Step-by-step explanation:

Below is a rather brief analysis to solving this problem.

The phone starts sliding when along incline,

when F_net = m g sin(theta) - fs_max = 0  

and fs_max = us N = us m g cos(theta)

m g sin(theta) - us m g cos(theta) =

us = tan(theta) = tan38 = 0.781  

On merry - go - round,

fs_max = us N = us m g

Using F = m a

fs_max = m w^2 r_max and w = 2pi / T

us m g = m (2 pi / T)^2 (r_max)

0.781 x 9.81 = (2 pi / 3)^2 (r_max)

r_max = 1.75 m

cheers i hope this helped !!

A linear track begins at 0 meters and has a total distance of 100 meters to the finish line. Juliet starts at the 100 meter mark while practicing for a race. After running 45 meters how far is she from the beginning of the track?

Answers

Answer:

It’s D, 55.

Step-by-step explanation:

After running 45 meters, Juliet runs 55 meters from the beginning of the track


2/5 of the members of a school band are 6th graders. What percent of
the students in the band are non-sixth graders?​

Answers

Answer:

60%

Step-by-step explanation:

3/5 is 60%

Answer:

60%

Step-by-step explanation:

5/5 minus 2/5 is 3/5

5 divided by 3 is .6

in order to find out the percent move the decimal over to the right

WILL GIVE BRAINLIEST! HURRY

Answers

Answer:

4

Step-by-step explanation:

2(6x+4)-6+2x=3(4x+3)+1

=14x+2=12x+10

=14x+2-2=12x+10-2

=14x=12x+8

=14x-12x=12x+8-12x

=2x=8

=2x/2=8/2

x=4

Choose the function that is a "parent function".

Answers

Answer:

f(x)=√x

Step-by-step explanation:

A parent function is something simple with just x

Answer:

f(x)=Square Root of x (choice B or the second one down)

Step-by-step explanation:

All the other choices have either a plus 3 or minus 3. A parent function is not going to have any type of number being added or subtracted to it.

A way that landowners took advantage of sharecroppers was by:
A. allowing only whites to farm the land.
B. allowing only African Americans to farm the land.
O c. taking their seeds and tools.
D. paying less for crops raised by African Americans.
SUBMIT

Answers

The answer is d . Paying less for crops raised by Africa. Americans

Answer: C. Paying less for crops raised by African-Americans

Step-by-step explanation:

The Hartnett Corporation manufactures baseball bats with Pudge Rodriguez's autograph stamped on them. Each bat for $35 and has a variable cost of $22. there are $97,500 in fixed costs involved in the production process.
Find the sales (in units) needed to earn a profit of $300,000.

Answers

Answer:

Find the sales (in units) needed to earn a profit of $262,500

Step-by-step explanation:

hope this is helpful to you bro

What are the zeroes of the polynomial x(x²+4x-12)

Answers

Answer:

x= 0, 2, -6

Hope this helps!

Any help would be great

Answers

Answer:

[tex]\frac{56}{96}[/tex] is your answer

Step-by-step explanation:

[tex]\frac{7}{12}[/tex]=[tex]\frac{x}{96}[/tex]

to get to 96 you must multiply by 8

and since you did that for the bottom then you need to do the same for the top,

[tex]\frac{56}{96}[/tex] is your answer

Which graph represents viable values for y = 2x, where x is the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and y is the total cost of the rice? On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5). On a coordinate plane, blue diamonds appear at points (0, 0), (1, 2), (2, 4). On a coordinate plane, a straight line with a positive slope begins at point (negative 2.5, negative 5), crosses the x- and y-axis at point (0, 0), and ends at point (2.5, 5). On a coordinate plane, blue diamonds appear at points (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4). Mark this and return

Answers

Answer:

  On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5)

Step-by-step explanation:

The distinction between "straight line" and "blue diamonds" is that the straight line represents the relation for all possible values of x. The blue diamonds show the values of y for very specific values of x.

Since x is the amount of rice from a bulk bin, we assume it can take any non-negative value. Hence, the graphs with negative values or with "blue diamonds" are not appropriate.

The straight-line graph in the first quadrant is the best choice.

Answer:

The answer is graph 1

Step-by-step explanation:

On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5).

which of the points shown below are on the line given by the equation y=3x?check all that apply.


Point A: (1,3)

Point B: (3,1)

Point C: (3,-1)

Point D: (-1,-3)

Answers

Answer:

Point A: (1,3)Point D: (-1,-3)

Step-by-step explanation:

The value of y in the (x, y) pair must be 3 times the value of x if the point is to be on the line. That is the case for points A, D.

a 680g patient comes in with diarrhea. the doctor orders anti-diarrhea medication at a dosage of 15 mcg/kg TID x 3 days. rhye medication concentration 50mcg/ml. What is the patients dose in MCG? What is the total volume of medication you will send home?

Answers

Answer:

dose in MCG = 10.2 mcg

Total volume to be sent home = 1.836 ml (1836μl)

Step-by-step explanation:

weight of patient = 680g

dosage in mcg of medication = 15mcg/kg

This means that

for every 1kg weight, 15mcg is given,

since 1kg = 1000g, we can also say that for every 1000g weigh, 15mcg is given.

1000g = 15mcg

1g = 15/1000 mcg = 0.015 mcg

∴ 680g = 0.015 × 680 = 10.2 mcg

Dosage in MCG = 10.2 mcg

Next, we are also told ever ml volume of the drug contains 50 mcg weight of the drug (50mcg/ml). This can also be written as:

50mcg = 1 ml

1 mcg = 1/50 ml = 0.02 ml

∴ 10.2 mcg = 10.2 × 0.02 = 0.204 ml

since the medication is to be taken TID (three times daily) for 3 days, the total number of times the drug is to be taken = 9 times.

therefore, the total volume required = 0.204 × 9 = 1.836 ml (1836 μl)

g You flip the coin 200 times and observed 80 Heads. Recall from the problem Hypothesis Testing: A Sample Data Set of Coin Flips I in the previous lecture that the value of the test statistics Tn for this data set is T200=2.83 . If the test ψ=1(Tn>qα/2) is designed to have asymptotic level 5% , would you reject or fail to reject the null hypothesis H0:p∗=1/2 for this data set?

Answers

Answer:

Step-by-step explanation:

To be able to draw a conclusion from the data given, lets find out the p value using the t score and this will be used to make a conclusion.

If the p value is less than 0.05 then, we will reject the null but if otherwise we will fail to reject the null.

Using a p value calculator with a t score of 2.83, significance level 0.05 and the test is a two tailed test, the p value is 0.004655 which is less than 0.05 and the result is significant.

This we will reject the null hypothesis H0:p∗=1/2 for this data set.

Find the number of ways of arranging the numbers 1,2,3,4,5,6,7, if no two even numbers can be adjacent, and no two odd numbers can be adjacent.

Answers

Answer:

24 ways

Step-by-step explanation:

1) In Combinatorics when we arrange a number and the order matter, we call it arrange the possibilities. For this exercise let's not use formulas but reasoning.

2) For this case we need a two figure number. Since we have seven numbers.

Since there is no repetition, all the possibilities are:

[tex]7*6=42[/tex]

3) But there is a restriction it's forbidden adjacent even and odd numbers: These numbers we don't want them:

13 15 17

24 26

31 35 37

42 46

51 53 57

62 66

71 73 75

18 non desirable results

The total arrangements minus the not possible combinations, will match the possible results:

[tex]42-18=24[/tex]

3) Just for checking, we have here the allowed combinations:

12 14 16

21 23 25 27

32 34 36

41 43 45 47

52 54 56

61 63 65 67

72 74 76  

A total of 24 possible ways.

please very soon I offer the crown !!! + 10 points urgently !!!

Answers

Answer:

odd numbers always end in 1,3,5,7 and 9

odd numbers - 51,23,95,11,67,75,83, and 29

even numbers - 16,32,38,76,62,40 and 80

19p                                  25p                                         16p

9 - 2p , 1 - 1p                   12- 2p, 1- 1p                          5- 2p, 6- 1p

19 - 1p                              10 - 2p, 5- 1p                       6 - 2p, 2- 1p

7- 2p , 5- 1p                    8- 2p, 9- 1p                          4- 2p, 8- 1p

                                       9- 2p, 6- 1p                         6- 2p, 4- 1p

Can someone please help me fast

Answers

Answer:

x = 3.5

Step-by-step explanation:

Since the triangles are similar we can use ratios to solve

4           7

------  = ------

(4+2)    ( 7+x)

Using cross products

4(7+x) = 7*(4+2)

Distribute

28+4x = 42

Subtract 28 from each side

4x = 42-28

4x= 14

Divide by 4

4x/4 = 14/4

x = 7/2

Select and place the symbol that will make the statement true |-a| |a|

Answers

Answer:

|-a|=|a|

Step-by-step explanation:

The lines beside the a's mean that you are trying to find the absolute value of what's inside. The absolute value of something is the distance it is from 0. You can't have a negative distance so anything inside of absolute value line are positive.

Therefor this is how we can solve this.

|-a| __ |a|

  a __ a

a=a

What is the solution to this equation?
10x - 3(x- 6) = x + 30
O A. x = 8
O B. x = 2
C. X= 4

Answers

[tex]answer \\ 2\\ solution \\ 10x - 3(x - 6) = x + 30 \\ or \: 10x - 3x + 18 = x + 30 \\ or \: 10x - 3x - x = 30 - 18 \\ or \: 7x - x = 12 \\ or \: 6x = 12 \\ or \: x = \frac{12}{6} \\ x = 2 \\ hope \: it \: helps[/tex]

Answer:

x=2

Step-by-step explanation:

10x - 3(x- 6) = x + 30

Distribute

10x -3x+18 = x+30

Combine like terms

7x + 18 = x+30

Subtract x from each side

6x+18 = 30

Subtract 18 from each side

6x = 30-18

6x = 12

Divide by 6

6x/6 = 12/6

x =2

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 50 pounds each, and the small boxes weigh 35 pounds each. There are 115 boxes in all. If the truck is carrying a total of 5000 pounds in boxes, how many of each type of box is it carrying?

Answers

Answer:

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

  Let x = number of large boxes

       y = number of small boxes

 

 "There are 115 boxes in all"    means    x + y = 115      [eq1]

 

Now, the pounds for each kind of box is:

    (pounds per box)*(number of boxes)

 

So,

  pounds for large boxes     +    pounds for small boxes      =    4125 pounds

                 "the truck is carrying a total of 4125 pounds in boxes"

 

        (50)*(x)                   +              (25)*(y)                  = 4125    [eq2]

 

It is important to find two equations so we can solve for two variables.

 

Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2.  Let's solve for x:

   x = 115 - y          [from eq1]

 

    50(115-y) + 25y = 4125             [from eq2]

     5750 - 50y  + 25y = 4125           [distribute]

     5750 - 25y = 4125

      -25y = -1625

         y = 65             [divide both sides by (-25)]

 

 There are 65 small boxes.

 

Put that value into either equation (now, which is easier?) to solve for x:

  x = 115 - y

  x = 115 - 65

  x = 50

 

  There are 50 large boxes.

 

Check (very important):

 

Is   50+65 = 115   ?       [eq1]

         115 = 115   ?yes

Is  50(50) + 25(65) = 4125   ?

     2500 + 1625 = 4125   ?

       4125 = 4125   ? ye

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