Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use. How much of the 10% alcohol solution should Bruce use? mL How much of the 15% alcohol solution should Bruce use?

Answers

Answer 1
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
We need 50 ml of a 12% alcohol solution.
We have 10% and 15% alcohol solutions and we want 50 ml at 12%
We set up 2 equations (x is volume of 10% y is volume of 15%)

a) x + y = 50
b) .1x + .15y = 6.0 (which is 50 ml at 12% or .12 * 50)

multiplying equation "a" by -.1 then add it to "b"
a) -.1x -.1y = -5
b) .1x +.15y = 6.0

.05y = 1
y = 20 ml of 15% and therefore x would equal 30 ml of 10%
Answer 2

Answer:

0.10x + 0.15(50 – x) = 0.12(50)


Step-by-step explanation:



Related Questions

13 tenths plus 8 tenths plus 32 hundredths <,> =,to 2.42

Answers

13/10 as a decimal is 1.3. 8/10 as a decimal is 0.8, and 32/100 as a decimal is 0.32. If you add up 1.3, 0.8, and 0.32, you get 2.42, which, obviously, is equal to 2.42. Hope this helps!

what is 4.09 rounded to the nearest

Answers

4.09 rounded to the nearest tenth is 4.1

y times 6 for y = 2/3

Answers

Here, in mathematical expression,it would be:
6y = 2/3
y = 2/3*6
y = 2/18
y = 1/9

So, your final answer is 1/9

Hope this helps!
the answer is 4 2/3 is 4

If f(x) is an odd function and the graph of f(x) includes points in Quadrant IV, which statement about the graph of f(x) must be true?
It includes points in Quadrant I.
It includes points in Quadrant II.
It does not include points in Quadrant I.
It does not include points in Quadrant II.

Answers

Answer:

It includes points in Quadrant II.

It does not include points in Quadrant I.

Step-by-step explanation:

Given : If f(x) is an odd function and the graph of f(x) includes points in Quadrant IV.

To find :  which statement about the graph of f(x) must be true.

Solution : We have given that f(x) is an odd function is lies in Quadrant IV.

Definition of an odd function: the y-value of the function at negative x is always opposite sign as the y-value of function at opposite x.

Like  (x ,-y) or (x , -y)

In odd function x and y values are in opposite sign that mean odd function always lies in Quadrant II and  Quadrant IV.

It does not include points in Quadrant I

Therefore, It includes points in Quadrant II.

It does not include points in Quadrant I.

Answer:

includes quad 2

Step-by-step explanation:

The hand on a clock shows 6:00pm what is the measure of the angle

Answers

180 degrees, the angle would be 180 degrees 
For a clock to be showing 6:00, the minute hand must be straight up and the hour hand straight down. This creates a straight line, which has an angle of 180° or π radians.

How many millimeters are in 50 centimeters?

Answers

50 × 10= 500 mm.........
1cm= 10mm
so, 50x10=500

how to find a whole number in this question 4% of ... is 56?

Answers

[tex] \frac{4}{100} * x=56[/tex]
[tex] \frac{1}{25} * x=56[/tex]
[tex]1400[/tex]

Does antibiotics help kill the common cold??

Answers

Antibiotics don't work on the common cold. They fight bacteria-related illnesses. Colds are caused by viruses, so antibiotics won't do you any good. They can, however, do you harm.Mar 29, 2016
No it doesn't because colds are made up of viruses. So the antibiotics won't help.

Which equation shows the substitution method being used to solve the system of linear equations?

x – y = 7
x = y + 3

A.
(y + 3) – y = 7

B.
x = (7 – x) + 3

C.
x – (y + 3) = 7

D.
x – y = y + 3

Answers

A. (y+3)-y = 7 is the correct answer

What is the solution of the equation?
4p/6+27=39

A. 22
B. 99
C. 4
D. 18

Answers

4p/6+27=39

We simplify the equation to the form, which is simple to understand
4p/6+27=39

Simplifying:
+ 0.666666666667p+27=39

We move all terms containing p to the left and all other terms to the right.
+ 0.666666666667p=+39-27

We simplify left and right side of the equation.
+ 0.666666666667p=+12

We divide both sides of the equation by 0.666666666667 to get p.
p=18

The width of a square-based storage tank is 3m less than its height. The tank has a capacity of 20 m3. If the dimensions are integer values in metres, what are they?

Answers

The answer is h = 5 m, w = 2 m

The volume of a rectangle is: V = w * l * h            (w - width, l - length, h - height)
A rectangle is square based, so: w = l
V = w * w * h = w² * h

The width of a square-based storage tank is 3m less than its height: w = h - 3
V = 20 m³

w² * h = 20
(h - 3)² * h = 20
(h² - 2 * h * 3 + 3²) * h = 20
(h² - 6h + 9) * h = 20
h² * h - 6h * h + 9 * h = 20
h³ - 6h² + 9h = 20
h³ - 6h² + 9h - 20 = 0
h * h² - 5h² - h² + 5h + 4h - 4*5 =0
(h * h² - 5 * h²) - (h * h - 5h) + (4*h - 4*5) =0
h²(h - 5) - h(h - 5) + 4(h - 5) = 0
(h - 5)(h² - h + 4) = 0

We have that one solution is:
h - 5 = 0
h1 = 5

Other two solutions are:
h² - h + 4 = 0

Quadratic equation is: ax² + bx + c = 0
[tex]h_{2,3} = \frac{-b+/- \sqrt{ b^{2}-4ac } }{2a} = \frac{-(-1)+/- \sqrt{ (-1)^{2}-4*1*4 } }{2*1} = \frac{1+/- \sqrt{1-16} }{2} = \\ \\ = \frac{1+/- \sqrt{-15} }{2} = \frac{1+/- \sqrt{-1*15} }{2} = \frac{1+/- \sqrt{-1} * \sqrt{15} }{2}= \frac{1+/- i\sqrt{15} }{2} \\ \\ h_2 = \frac{1+ i\sqrt{15} }{2} \\ \\ h_3 = \frac{1- i\sqrt{15} }{2}[/tex]

The only integer value is h1 = 5 m

h = 5 m
w = h - 3 = 5 - 3 = 2 m
Let the dimensions of the tank be x by x by (x + 3)
Volume = x(x)(x + 3) = x^3 + 3x^2 = 20
x^3 + 3x^2 - 20 = 0
x = 2

Therefore, the dimension of the tank is 2 m by 2 m by 5 m

A sneaker store salesman had $4,125 in total monthly sales last month. He made $165 in commission from those sales. What is the salesman's commission as a percent of his total monthly sales? Enter your answer in the box. %

Answers

Answer:

Salesman's commission 4% of total monthly sales.

Step-by-step explanation:

A sneaker store salesman had $4,125 in total monthly sales last month.

He made $165 in commission from those sales.

Suppose, it is x% of the total sale.

So, x% of $4125 will be,

[tex]=4125\times \dfrac{x}{100}[/tex]

According to the question it is equal to $165, so

[tex]\Rightarrow 4125\times \dfrac{x}{100}=165[/tex]

[tex]\Rightarrow x=\dfrac{165\times 100}{4125}[/tex]

[tex]\Rightarrow x=\dfrac{16500}{4125}[/tex]

[tex]\Rightarrow x=4\%[/tex]

Therefore, salesman's commission 4% of total monthly sales.

Answer: 4%

Step-by-step explanation:

Due to the fact that the salesman had $4,125 in total monthly sales the previous month, the answer would be 4%

Give 9.7814 correct to the nearest whole number

Answers

the answer is 10.
because you're rounding

Final answer:

9.7814 rounded to the nearest whole number is 10, as the first digit after the decimal point is 7, which requires rounding up.

Explanation:

To find the nearest whole number to 9.7814, we need to look at the first digit after the decimal point. Since this digit is 7 (which is equal to or greater than 5), we round up the number. Rounding up changes 9.7814 to the next whole number, which is 10.

The general rule for rounding to the nearest whole number is:

If the first decimal place is 5 or greater, round up.If the first decimal place is less than 5, round down.

Therefore, 9.7814 rounded to the nearest whole number is 10.

What is the prime factorization of 126

Answers

126 factors into 2, 3, 3, and 7.

The prime factorization of the number 126 is 2,3,3, and 7.

What is prime factorization?

Any number can be represented as a sum of prime numbers by prime factorization. A number with exactly two factors, 1 and the number itself, is said to be a prime number. As an illustration, the prime factorization of 18 is 2,3, and 3.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the number is 126. The prime factorization of the number 126 will be calculated as:-

126 = 2 x 3 x 3 x 7

Hence, the prime factorization of the number 126 is 2,3,3, and 7.

To know more about prime factorization follow

https://brainly.com/question/1081523

#SPJ6

A fast food restaurant sells between 164 and 328 hamburgers per day. If the company profits $82.00 per 82 hamburgers sold, approximately how much does the company profit in one year from hamburgers?

PLZZZZZZ HELPPPP

Answers

If the company earns $82 per 82 hamburgers then that means that the company earns $1 per burger sold. Therefore we are able to deduct that the company profits in between $59,860 and $119,720 a year. We know this because the minimum number (164) x 365 is 59,860 and the maximum number (328) is 119,720.

Assume the function has an inverse. Without solving for the inverse find the indicated function values: f(x)=x^3+4x-1, (a) f^-1 (-1) (b) f^-1 (4) ...?

Answers

Final answer:

To find the indicated function values of the inverse of a function, substitute the given values into the original function and solve for x.

Explanation:

To find the indicated function values of the inverse of the function f(x)=x^3+4x-1, without solving for the inverse function, we substitute the given values into the original function and solve for x.

(a) To find f^-1(-1), we substitute -1 into the function: f(-1)=(-1)^3+4(-1)-1 = -1+(-4)-1 = -6.

(b) To find f^-1(4), we substitute 4 into the function: f(4)=(4)^3+4(4)-1 = 64+16-1 = 79.

graph the equation. y = 4x - 3

Answers

point at (0,-3) and another point at (1,1)....draw a straight line through the points and draw arrows at the end, symbolizing that the line goes to infinity

Which of the following is the inverse of the function {(1,2),(3,4),(6,8)}

A. {(6,8),(3,4),(1,2)}
B. {(2,1),(4,3),(6,8)}
C. {(2,1),(4,3),(8,6)}
D. {(2,1),(3,4),(8,6)}

Answers

C.{(2,1),(4,3),(8,6)}

A bag cost 10.50 but you get 20 percent off how much is the bag now?

Answers

Total cost of the bag will be product of bag cost and percentage off

Which is 
$10.50×.2=$8.40

Morgan calculated that he spent 305 minutes doing homework one week and 284 minutes doing homework the next week. How much more time did he spend doing homework the first week?

Answers

Morgan spent 21 minutes more the first week than the second.

Write the standard form of the equation of the line that passes through the given points.
(5, 3) and (8, -2)

Answers

Equation of the line is given by
y - 3 = (-2 - 3)/(8 - 5) (x - 5)
y - 3 = -5/3 (x - 5)
3y - 9 = -5x + 25
5x + 3y = 34

The equation of line KL is y=-1/2x-6. The equation line WX is 7x-14y=-42. Rewrite the equation of line WX in slope-intercept form and determine if the two lines are parallel.

Answers

Hope you are able to understand the solution. :-D

The equation of line WX in slope-intercept form is,

⇒ y = 1/2x + 3

And, Lines WX and Kl are not parallel lines because its slopes are not equal to each other.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of line KL is,

⇒ y = - 1/2x - 6.

And, The equation line WX is,

⇒ 7x - 14y = - 42

Now,

The equation of line WX in slope-intercept form is,

⇒ 7x - 14y = - 42

⇒ 7x + 42 = 14y

⇒ 14y = 7x + 42

⇒ y = 7x/14 + 42/14

⇒ y = 1/2x + 3

Hence, Slope of equation of line WX is,

⇒ y = 1/2x + 3

⇒ dy/dx = 1/2

⇒ m = 1/2

And, Slope of equation of line KL is,

⇒ y = - 1/2x - 6

⇒ dy/dx = - 1/2

⇒ m = - 1/2

We know that;

Slopes of parallel lines are equal.

Hence, Lines WX and Kl are not parallel lines because its slopes are not equal to each other.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ7

Dayla earns $108.75 for working 15 hours of holiday open rap at this rate how much money will see you earn if she works 18 hours the next week explain

Answers

using the unitary method the rate per hour can be determined, i.e
15 hours to $108.75
1 hour to 108.75/15 = $7.25 per hour

dayla would earn (7.25*18) for the preceding week which $130.50

XY is the perpendicular bisector of JK. which of the following statements must be true? check all that apply?

A. XY and JK form four right angles
B. P is the midpoint of XY
C. m D. XP=YP
E.JP=KP
F. XY perpendicualr to JK

Answers

Final answer:

According to the properties of a perpendicular bisector, XY will form four right angles with JK, XY is perpendicular to JK, and it must bisect JK into two equal parts, making statements A, D, E, and F true.

Explanation:

The question tells us that XY is the perpendicular bisector of JK. This tells us a few things about the relationship between the two lines and the points on them:

XY and JK form four right angles: Because XY is a perpendicular bisector, it intersects line JK at a 90° angle.XY perpendicular to JK: This simply restates that the angle formed by the intersection of XY and JK is a right angle.JP=KP: Perpendicular bisectors not only intersect the other line at a right angle, but they also bisect it, which means they cut it into two equal parts. Thus, point J is as far from the point of intersection as point K, making JP equal to KP.XP=YP: This is also a property of the perpendicular bisector. It means that the point of intersection P is the midpoint of XY, making segment XP equal to segment YP.

The options regarding P being the midpoint of XY and the statement that includes an undefined variable 'm' were ignored due to lack of context.

Final answer:

The statements that must be true when XY is the perpendicular bisector of JK are: XY and JK form four right angles, P is the midpoint of XY, XP = YP, and XY is perpendicular to JK.

Explanation:

To determine which of the statements must be true, we need to understand the properties of a perpendicular bisector. A perpendicular bisector of a line segment is a line that divides the line segment into two equal parts and forms a right angle with the line segment.

From this definition, we can conclude that the following statements must be true:

A. XY and JK form four right angles - Since XY is the perpendicular bisector of JK, it forms a right angle with JK at each point of intersection.

B. P is the midpoint of XY - The perpendicular bisector passes through the midpoint of the line segment it bisects.

C. XP = YP - Since P is the midpoint of XY, XP and YP have equal lengths.

F. XY is perpendicular to JK - This is the definition of a perpendicular bisector.

The formula for rate is r=d/t . Solve for d.

Answers

I hope this helps you




d/t=r


d=r.t
Simple...

you have: [tex]r= \frac{d}{t} [/tex]

You want to solve for d->>> to isolate d multiply both sides by t...

[tex]t*r =\frac{d}{t} *t[/tex]

[tex]t*r=d[/tex]

Thus, your answer.

who good at the math

Answers

Im pretty good at Math depending on what type of math it is?

What did the inventor of the 10 ton truck so often say

Answers

Here is the answer to the given riddle above. What the inventor of the 10 ton truck so often say is that "Diesel Be Good". This is actually a riddle in math that you have to solve with the corresponding letters. Hope this is the answer that you are looking for.

Answer:

This is an equation in which we have to find the slope of the line. We are supposed to draw the line for the two given points.

Step-by-step explanation:

The equation and the graph are solved as:

For graph One: B=(4,4)(1,2)  for that m= 2/3. E=(2,0)(-4,4), for this m=-2/3. O=(1,-3)(-3,-4),m=1/4.for Second graph: I=(-1,-3)(2,3), m=2. E=(-4,-3)(-2,-1), m=-2. O=(-3,0)(-1,5),m=5/2. for the third graph:E=(0,2)(5,-1),m=-3/5. D=(5,6)(2,-1), m=7/3.L=(-5,2)(0,-3),m=-1.for the fourth graph: D=(0,0)(2,-6),m=-3. G=(4,5)(-2,4),m=1/6. S=(2,-3)(-5,-3), m=0.

Now the Graphical data and the results are attached to the answer, given hope it helps out.

If h(x) = -3x - 10, find h(-3).
Answer
-1
2.3
-19
1
...?

Answers

The correct answer is:  [A]:  " - 1 " .
__________________________________________________________
Explanation:
__________________________________________________________
Given:  " If h(x) = -3x − 10, find h(-3). "

So; we plug in "-3"  for all values of "x" ; to solve for " h(-3)" ; as follows:

       →  h(-3)  =  -3(-3) − 10 = 9 − 10 = - 1 .

The answer is:  " - 1 " . 
__________________________________________________________

What number should be added to the expression x^2 + 2x to change it into a perfect square trinomial?

Answers

the answer is (x+1)²= x²+2x+1
so x^2 + 2x must be added 1 to become  x²+2x+1=(x+1)²

the formula for finding the area of a circle is a equals pi r square. solve the formula for r.

Answers

I hope this helps you



Area=pi.r^2


r^2=Area/pi


r= square root of Area/pi
Other Questions
Read this quotation: "No! No! . . . hasten away. You would only lose your life. There is a terrible dragon near. He may come at any moment. One breath would destroy you if he found you here. Go! Go quickly!" Which character says these words? A.the Princess in "St. George and the Dragon" B.the Emperor in "Mulan" C.the maiden in "Robin Hood and Allin-a-Dale" D.Mulan The graph shows the amount of gas remaining in the gas tank of mrs. lius car as she drives at a steady speed for 2 hours. How long can she drive before he car runs out of gas Coin can be tossed until a tail appears or until it has been tossed 3 times. Given that tail does not occur on the first toss, whats probability that the coin is tossed 3 times? All movies have directors. no books have directors. In a fitness program, increasing the amount of weight you lift over time is an example of the a. specificity principle b. overload principle c. reversibility principle d. intensity principle If as a part of its business, a company routinely handles toxic materials, all employees who come into contact with the hazardous materials should _______.a. be allotted more vacation time than other employees b. be filing to collect worker?s compensation c. be trained to safely handle and dispose of the materials d. be able to file complaints to OSHA to close the business What characteristics of Odysseus, the storys epic hero, are most shown in this excerpt?knowledge and strengthconfidence and courageleadership and perseverancecharacter and loyalty Which best describes the stance of most northern states on protective tariffs in the years leading up to the Civil War An insurance company charges a 35-year old non-smoker an annual premium of $118 for a $100,000 term life insurance policy. The premiums for 45-year olds and 55-year old no smokers are $218 and $563, respectively. Write a quadratic model for the premium p as a function of age a. Mrs Valdez bought 6 boxes of roses. Each box had 24 roses. She divided all the roses into nine equal bunches. How many were in each bunch. Which set of steps shows how information is transformed to synthesize proteins?A. gene -> chromosome -> proteinB. DNA -> RNA -> proteinC. cell respiration -> ATP -> proteinD. ATP -> amino acid -> protein Lamentation by Giotto focuses on a frog lays thousands of eggs because many eggs die this is a behavior is an example of What type of context clue would help someone determine the meaning of "sufficient" in this statement from "Anti-Federalist Paper No. 84"? So much, however, must be given, as will be sufficient to enable those to whom the administration of the government is committed, to establish laws for the promoting the happiness of the community, and to carry those laws into effect. But it is not necessary, for this purpose, that individuals should relinquish all their natural rights. Definition Contrast Restatement None of the above Tybalt: What! art thou drawn among these heartless hinds?Turn thee, Benvolio, look upon thy death.Benvolio: I do but keep the peace: put up thy sword,Or manage it to part these men with me.Tybalt: What! drawn, and talk of peace? I hate the word,As I hate hell, all Montagues, and thee.Have at thee, coward! [They fight.]Based on this dialogue, which word best describes Tybalt?thoughtfulaggressivecarefuldisloyal What is the capital of arkansas? Walking to work is one way of helping improve air quality. please select the best answer from the choices provided t f any large backyard there are 4 times as many shrubs trees altogether there are 40 trees and shrubs how many trees are in the yard how many shrubs Comment s'appelle l'le dans la mer mditerrane qui fait partie de la France? Write 9 as a power of the base 3