A druggist needs to prepare 100ml. of a 10% solution. She has available only a 5% and a
25% solution. How much of each should she use to prepare the desired solution?

Answers

Answer 1

Answer:

25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.

Step-by-step explanation:

Since the druggist has to prepare 100 ml of a 10% solution, but has only 5% and 25% solutions, to determine the proportion of each solution that he must use to prepare the solution with the desired percentage, it is necessary to perform the following calculation:

25 x 1 + 5 x 0 = 25

25 x 0.9 + 5 x 0.1 = 23

25 x 0.8 + 5 x 0.2 = 21

25 x 0.7 + 5 x 0.3 = 19

25 x 0.6 + 5 x 0.4 = 17

25 x 0.5 + 5 x 0.5 = 15

25 x 0.4 + 5 x 0.6 = 13

25 x 0.3 + 5 x 0.7 = 11

25 x 0.2 + 5 x 0.8 = 9

Therefore, the percentage that the druggist must use will be between 20% and 30% of the 25% solution, and between 70% and 80% of the 5% solution, that is:

25 x 0.25 + 5 x 0.75 = 10

Therefore, the druggist should use a 25% solution at 25%, and a 75% solution at 5%: Thus, since 100 x 0.25 is equal to 25, 25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.


Related Questions

Quamain is selling chocolate bars for a fundraiser. In his box, he had 12 milk chocolate bars, 8 caramel bars, 9 almond chocolate bars, and 6 dark chocolate bars. What is the ratio of milk chocolate to almond chocolate bars in his box?

4:3

Answers

Answer: 12:9

Step-by-step explanation:

He had 12 milk chocolate bars and 9 almond chocolate bars so the answer is 12:9

And it is also 12:9 is because they ask milk chocolate TO almond chocolate .

What does "(-2)(6)" mean

Answers

Answer:

Step-by-step explanation:

it means that you do negative 2 times 6. That is -2 x 6, which is -12

Answer:

implied multiplication

Step-by-step explanation:

(-2)(6)

When two parentheses are next tow each other, there is implied multiplication

-2 * 6

-12

what is the answer for this​

Answers

Answer:

4

Step-by-step explanation:

The answer is B because if you plugs in x the exponent would be four to the second power which would equal 16 and if you multiply 16 times 1/3 it will equal 16/3

HELP
i need a graph of 10x+6y=150

Answers

Rearrange the equation to get it into slope intercept form:

10x+6y=150

6y=-10x+150

y=-5/3x+25

The slope is -5/3, the y-intercept is 25. Graph below:

Answer:

See below

Step-by-step explanation:

Given

10x + 6y = 150

To graph the line easily, find x-intercept and y-intercept and connect those points with a line, that will be a graph you need.

x-intercept is the coordinate of x when y = 0

10x + 6*0 = 15010x = 150x = 15

y-intercept is the coordinate of y when x = 0

10*0 + 6y = 1506y = 150y = 25

We have now required points:

(0, 25) and (15, 0)

The graph is attached

HELP!!! ASAP MARKING BRAINLIEST!!!!

Answers

Answer:

A. y=1/2x-4

Step-by-step explanation:

maths

for a new neighbor, 100 acres of land will be split into 10 lots. How many acres will each lot have?

Answers

10 I believe is the answer

Answer:

Your answer is 10 cause 100 divided by 10 is 10

Step-by-step explanation:

I CAN GIVE BRAINLIEST!!!!!!

Answers

Answer: 2/1

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Line is passing through the points (2, 3) & (5, 9)

Slope = (9 - 3)/ (5 - 2) = 6/3 = 2

Slope of the line is 2.

Genna purchased a pair of shoes on a web site.The original price of the shoes was $120. She used the coupon code to receive a 20% discount. The web applied a 15% service fee to the discounted price. Genna's shoes were less than the original price by what percent

Answers

Answer:

use calculater

Step-by-step explanation:

If a number is doubled the result is sixty

Answers

Answer:

30

Step-by-step explanation:

30x2=60

25 Point Math Question Image Attached

Answers

X = hypotenuse x sin(angle)

Rewriting this with the given information:

Sin(26) = x/10

The answer is B.

Answer:

answer is B

Step-by-step explanation:

just got it right

What is the value of −|−20| + |−8| ÷ |−4| − |6|?

Answers

The answer is -24. Hope this helps

HELPP QUICKKK its timedd

Answers

Answer:

10

Step-by-step explanation:

Please help me answer this question will give Brainlst!:) I

Answers

Answer:

B, E, and F

Step-by-step explanation:

Functions that are linear form a straight line when graphed.

Answer:

B,E,F

Step-by-step explanation:

A linear function follows the formula of...

y = mx + b

So don't get tripped up by exponents (letter c and d)

C is a quadratic and D is an exponential function

and...

A is a parabola

E, might trip some people up but communitive property is "at hand", the equation does (a + x) is the same as (x + a) ( <--- for example)

*communitive property is only seen in multiplication and addition

F is where you have to use the distributive property, distribute the 5 to the x and the 0.6

Formulas:

Linear: y = mx + b

Quadratic: y = x^2

Exponential: y = b^x

Parabola: y = 1/x

Solve the equation.
k/-9 =7

Answers

Answer:

k=-63

Step-by-step explanation:

multiply both sides by -9

k=7*-9

k=-63

Answer:

-63

Step-by-step explanation:

by simplifying both sides of the equation, then isolating the variable.  k= -63

-9 x 7 = -63

i put my age as 98 years old

Answers

Answer:

grandpa

Step-by-step explanation:

love u grandpa

A person invests 4000 dollars in a bank. The bank pays 6.25% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 9600 dollars?

Answers

Answer:

14.4

Step-by-step explanation:

Given that :

Principal = 4000

Interest (r) = 6.25% compounded annually

Calculate time, t, if final amount A = 9600

Using the compound interest formula :

A = P(1 + r/n)^n*t

A = final amount

n = number of times interest is applied per period

9600 = 4000(1 + 0.0625)^t

9600 = 4000(1.0625)^t

9600/4000 = 1.0625^t

2.4 = 1.0625^t

Take the log of both sides

0.3802112 = 0.0263289t

t = 0.3802112/0.0263289

t = 14.440811

t = 14.4 ( nearest tenth)

Find the distance between the two points in simplest radical form.
(-2,-1) and (-8,7)

Answers

Answer:

The distance in radical form is √100 (which is equal to 10units

Step-by-step explanation:

Distance=√(-8--2)²+(7--1)²

D=√(-6)²+(8)²

D=√36+64

D=√100

D=10units

lb = 64 oz Helppppppppppppp me
[tex]5[/tex]

Answers

Answer:

no u

Step-by-step explanation: no no no no no no no no no

HELP IM IN CLASS DOING IT RIGHT NOW The absolute value of any number is always positive. True False

Answers

Answer:

True

Step-by-step explanation:

Answer:

[tex] \huge\purple{TRUE}[/tex]

Step-by-step explanation:

The absolute value of any number is always positive.

What is the solution set for 2x – (x + 5) < 3x – 9 ?

Answers

Answer:

x > 2

Step-by-step explanation:

x - 5 < 3x - 9

x - 5 + 5 < 3x - 9 + 5

x < 3x - 4

x - 3x < 3x - 4 - 3x

-2x < -4

(-2x)(-1) > (-4)(-1)

2x > 4

2x/2 > 4/2

x > 2

Answer:

x > 2.

The solution in interval notation is (2, ∞).

Step-by-step explanation:

2x - (x + 5) < 3x - 9

2x - x - 5 < 3x - 9

2x - x - 3x < -9 + 5

-2x < -4

Divide both sides by -2

x > 2    (Note that the sign flips because we are dividing by a negative)

Please help, I really need help, will mark brainliest

Answers

ANSWER

have it right it is -4

CO
Mandy has an annual salary of $37,580. Each month she has a car payment of $265 and a student loan of $120. If
she applies for a home loan, how likely is it Mandy will be approved based on her debt-to-income ratio?
a. Very likely, recurring debt is less than what is allowed.
b. Somewhat likely, recurring debt is equal to what is allowed.
C. Not likely, recurring debt is higher than what is allowed.
d. There is not enough information given to determine the answer.

Answers

C. Not likely, recurring debt is higher than what is allowed.

edge 2021

Mandy's approval based on her debt - to - income ratio is;

C: Not likely, recurring debt is higher than what is allowed.

What is Debt to income ratio?

Debt to income ratio is simply the percentage of your gross monthly income that goes to paying your monthly debt payments.

Now, her annual salary is $37,580. This means that her monthly income is; 37580/12 = $3131.67

Her monthly debt servicing = $265 + $120 =$385

Using the 28/36 ratio, the maximum allowable recurring debt for someone with a monthly income of $3,200 is $256.

Since her recurring monthly debt is $385 it is more than the maximum recurrent limit and so her home loan will not be approved.

Read more about debt - to - income ratio at; https://brainly.com/question/24814852

On Monday, Byron spent $8.00 on lunch to purchase two tacos and one burrito. On Wednesday, he purchased one enchilada, one taco, and one burrito and spent $8.50. On Friday, it cost Byron $10.00 for two enchiladas and two tacos. If t represents the cost of a taco, b represents the cost of a burrito, and e represents the cost of an enchilada, which system of equations can be used to find the cost of each?​

Answers

Answer:

2t+b=8.00

e+t+b=8.50

2e+2t=10.00

Step-by-step explanation:

Rachel is pouring a concrete patio. Her patio will be 6 inches deep, 6 feet long and 8 feet wide. If she rounds up to the nearest hundredth, how many cubic yards of concrete will she need? (Remember, yd3=in3÷46,656 )

Answers

Answer:

2.6667yd^3

Step-by-step explanation

Volume of the concrete = Length * width * height

Given

height = 6 inches

To yards;

1 in = 0.0277778yd

6 in = 6 * 0.0277778

6in = 0.1666668 yards

Width = 8 feet

Length = 6ft

LW = 48ft²

To yards;

1 ft = 0.333333yd

48 ft = 48(0.333333)

48 ft^ 2 = 15.999984yd^2

Volume = 15.999984 * 0.1666668

Volume = 2.6667 yd^3

Hence she will need 2.6667yd^3 concrete

What is the slope of a line that passes through the following points (4, 6) and (2, 0)?

Answers

Answer:

3

Step-by-step explanation:

Step-by-step explanation:

formula to fine slope

m=tan()=y2-y1/x2-x1

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint.
f(x, y) = xy; 4x2 + y2 = 8

Answers

Answer: minimum value of f = -2  and maximum value  of f = 2

Step-by-step explanation:

Given that;

f(x, y) = xy; 4x² + y² = 8

S(x,y) = xy + λ(4x² + y² - 8)

dS/dλ = 4x² + y² - 8 = 0

dS/dx = y + 8λx = 0 -> y = -8λx  

dS/dy = x + 2yλ = 0 -> x + 2λ(-8λx) = x(1 - 16λ²) = x(1-4λ)(1+4λ) = 0

-> x = 0 , λ = 1/4 , λ = -1/4

x = 0 -> y = 0 -> it doesn't satisfy 4x² + y² = 8

λ = 1/4 -> y = -8λx = -2x -> 4x² + y² = 8x² = 8 -> x = -1 , 1 -> y = 2 , -2

λ = -1/4 -> y = -8λx = 2x -> 4x² + y² = 8x² = 8 -> x = -1 , 1 -> y = -2 , 2

we have 4 critical points:

(-1, 2) -> f = -2

(1, 2) -> f = 2

(-1, -2) -> f = 2

(1 , -2) -> f = -2  

Therefore; minimum value of f = -2  and maximum value  of f = 2

In the accompanying diagram of ABC, AB = 6, BC = 8, and AC = 12. Points X, Y, and Z are midpoints of AB, BC, and AC, respectively. Find the perimeter of quadrilateral XYCZ.​

Answers

Answer:

cb

Step-by-step explanation:

Suppose that the test score of a student taking the final of a probability course is a random variable with mean 76.

Required:
a. Give an upper bound for the probability that a student's test score will exceed 86. Suppose, in addition, that the professor knows that the variance of a student’s test score is equal to 25.
(b) What can be said about the probability that a student will score between 65 and 85?
c. How many students would have to take the examination to ensure, with probability at least .9, that the class average would be within 5 of 75? Do not use the central limit theorem.

Answers

Answer:

a. 0.8837

b. 0.6914

c. 10 student

Step-by-step explanation:

a. using markov's inequality; P(u >= X)<= E(u) / X

   mean u = 76

   X, test score = 86

= 76 / 86 = 0.8837

b. variance v = 25

   The test is between 65 and 85 P(65 <= X <= 85);

   P(|65 - X|<= |X - u| <= |85 - X|) = P(65 - 76 <= |X - u| <= 85 -76)

   = P(-11 <= |X - u| <= 9)

   = P(|X - u| <= 9)

using the chebyshev's inequality;

P(|X - u| <= 9) = 1 - variance / (standard deviation of individual test score)^2

   = 1 - 25/ 9^2

   = 1 - 25/81 = 1 - 0.3086 = 0.6914

c. P(|X - 76| <= 5) = 0.9

still using chebyshev's inequality;

= 1 - variance / lower limit^2 (E)

where E = 1 - 0.9 = 0.1

lower limit = 5

= 1 - 25/ 5^2 (0.1) = 10

help meeeeeeeeeeeeeeeeeee

Answers

Answer:

18

Step-by-step explanation:

the other right triangle is 3-4-5. so, 3*4/2=6

4*6/2=12

6+12=18

give brainliest pls

The answer should be 18

x + 5y = 8
3x = 24 - 157

Answers

Answer:

x = [tex]-\frac{133}{3}[/tex], y = [tex]\frac{157}{15}[/tex]

Step-by-step explanation:

x + 5y = 8

3x = 24 - 157

3x = 24 - 157

3x = -133

x = [tex]-\frac{133}{3}[/tex]

x + 5y = 8

[tex]-\frac{133}{3}[/tex] + 5y = 8

5y = [tex]\frac{157}{3}[/tex]

y = [tex]\frac{157}{15}[/tex]

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