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?
40
mL
How much of the 15% alcohol solution should Bruce use?
mL aASAP

Answers

Answer 1

Answer:

x = 30 ml of 10%

50 - x = 20 ml of 15%

Step-by-step explanation:

0.10x + 0.15(50 - x) = 0.12(50)

distribute

0.10x + (7.5 - 0.15x) = 6

Combine like terms

-0.05x = -1.5

Divide both sides by -0.05

x = 30 ml of 10%

50 - x = 20 ml of 15%


Related Questions

Find two integers whose sum is -23 and product is 132

Answers

Step-by-step explanation:

Let x and y be two integers

x * y = 132

x + y = -23

x= -23 - y

y(-23 - y) = 132

-23y - y^2 = 132

y^2 +23y + 132 = 0

(y + 11) (y + 12) = 0

y = -11 or - 12

If y = -11 then x + (-11) = -23 -> x = -12

If y = -12 then x + (-12) = -23 -> x = -11

So the two integers are -11 and -12

A spinner is divided into 4 equal portions colored red, blue, green and yellow. If the spinner is spun, find the probability that it lands on Blue or Yellow, Red, Blue AND Yellow, and Green.

Answers

It’s a 25% chance it lands on one particular color

Answer:

red and blue

Step-by-step explanation:

trust

Plz help me!!!!!!!!! Whoever solves correct will mark brainlist

Answers

Answer:

in picture

Step-by-step explanation:

Brainliest please~

Im super confused please help!!

Answers

Your answer is A.

And yes, very confusing problem. The whole amount is all of the shaded area under the number line, which is 2 1/3. So that narrows our answer choices down to A and B.

We know it’s being divided by 2/3 because of the bracketed sections below the shaded area. This is confirmed by the fact that in A and B, 2 1/3 is divided by 2/3.

So the question is then how many groups of 2/3 do we have. We have 3 full groups, or brackets of 2/3. The fourth bracket only has one of the two sections filled, which means that is a half measure of a 2/3. Putting this in words is really hard, LOL.

But we have 3 full brackets each measuring 2/3, and 1/2 of a bracket measuring 2/3, so the answer is 3 1/2.

I feel like this took me a good bit of time to get my brain around this morning. Have a good day.

The area of the given shape above is?
A.20ft2
B.84ft2
C.400ft2
D.40ft2
E.10ft2

Answers

Answer:

B. 84 ft²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Area of a Rectangle Formula: A = lw

l is lengthw is width

Step-by-step explanation:

Step 1: Define

Identify variables

l = 14 ft

w = 6 ft

Step 2: Find Area

Substitute in variables [Area of a Rectangle Formula]:                                  A = (14 ft)(6 ft)Multiply:                                                                                                              A = 84 ft²

Complete the pattern.
676 + 100
676 + 101 =
676 + 102 =
676 + 103

Answers

676 + 100 = 776

676 + 101 = 777

676 + 102 = 778

676 + 103 = 779

Answer:

la primera respuesta es: 776

la segunda respuesta es: 777

la tercera respuesta es: 778

la cuarta respuesta es: 779

Step-by-step explanation:

espero que te ayude con la respuesta y gracias

Answer for all of them

Answers

the answers are in the picture

chadwick contributes 17% of his 68,000 annual salary to his 401(k)plan.What is his pre-tax income?

Answers

Therefore, Thus, Chadwick contributes $11,662 in 401(k)plan. Pretax earnings exclude taxes, therefore subtract $11,662 from his annual salary.Hence, his pre-tax income is $56,938

Need help!! Plz show work

Answers

Answer:

19,000

Step-by-step explanation:

because for 1 year its 19,000 just for that year so it would be 19,000

what is advertising used for? check all that apply

Answers

influencing consumer tastes
increasing product awareness
promoting company branding

CAN SOMEONE HELP ME WITH THIS PLEAS AND THANK YOU.
I DO NOT KNOW HOW TO DO THIS ONE WHEN YOU KNOW HOW TO DO IT I WILL DO IT ON MY OWN MABY.

Answers

Answer:8 7/12
Explanation 51/-25/6

Answer:

2 and 2/6ths

SBSE:

1. multiply the denominators together (in this case, 24)

2. multiply each numerator by the denominators

3. reduce the 5 to four, making 4/24ths into 28/24ths

4. subtract the fractions and whole numbers.

What is a Redox reaction? And how does it happen in batteries? ​

Answers

Answer:

Pata nahii!!!!!!!!!!!:)))))

Answer:

Redox is a type of chemical reaction in which the oxidation states of atoms are changed. Redox reactions are characterized by the actual or formal transfer of electrons between chemical species, most often with one species undergoing oxidation while another species undergoes reduction.  

Step-by-step explanation:

hope it helps

plz help me with this question. ​

Answers

Answer:

0.2m x 0.12m

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Scale of drawing = (10 / 50) x (6/50) = 0.2m x 0.12m

is x+6 a factor of f(c)=-x^2+6x?

Answers

Yes.x+6 is a factor of f(x)=-x^2+6x

Answer:

no

Step-by-step explanation:

f(x) = -x^2 + 6x

The right side has a common factor. It is x.

Factor x out on the right side.

f(x) = x(-x + 6)

When the common factor x is factored out, the remaining factor is -x + 6.

-x + 6 is not equal to x + 6.

Answer: no

SOMEONE HELP ASAP PLEASE. Answers and links that have nothing to do with the question will be reported.

Answers

Answer:

[tex]\frac{1}{15}[/tex]

Step-by-step explanation:

There are 2 yellow marbles, 3 pink marbles, and 5 blue marbles in the bag, for a total of 10 marbles.

Let's start with the probability that the first marble drawn is pink. Since there are 3 pink marbles out of the 10 total marbles, the probability of this happening is [tex]3/10[/tex].

Since the first marble is not put back in the bag, there are now 9 marbles left, 2 of then being pink. The chances of drawing a pink marble now is [tex]2/9[/tex]. To find the chances of both of these events happening, multiply them together to get:

[tex]\frac{3}{10}\cdot \frac{2}{9}=\frac{6}{90}=\boxed{\frac{1}{15}}[/tex]

Determine if the function f is an exponential function. If so, identify the base. If not, why not? f(x) = x^e

Answers

Answer:

It is not exponential because it is f(x)= x-3.141.

Step-by-step explanation:It is a slope-intercept formula. An exponential formula is y=a^x

Find the solutions to the equation below.
Check all that apply.
30x^2 - 28x + 6 = 0
A. X = 4/5
B. X = 1/3
c. X = 1/2
D. X = 1/5
E. X = 3/5
F. X = 2/3

Answers

The solution to the equation 30x² - 28x + 6 = 0 is x = 3/5 and x = 1/3 option (B) and (E) are correct.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a quadratic equation:

30x² - 28x + 6 = 0

a = 30, b = -28, and c = 6

Plug the values in the formula:

[tex]\rm x = \dfrac{-(-28) \pm\sqrt{(-28)^2-4(30)(6)}}{2a}[/tex]

After solving:

x = 3/5 or x = 1/3

Thus, the solution to the equation 30x² - 28x + 6 = 0 is x = 3/5 and x = 1/3 option (B) and (E) are correct.

Learn more about quadratic equations here:

brainly.com/question/2263981

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find the slope of the line

Answers

Answer:

Slope = 4

Step-by-step explanation:

Consider two set of point through which the line passes.

Let it be ( 0, 4 ) and ( -1 , 0)

Find slope .

[tex]Slope = \frac{rise}{run } = \frac{y_2 - y_ 1 }{x_2 - x_1} , \ where \ \ (x_1 , y_1) = (0, 4 ) \ and \ (x_2, y _ 2) = ( -1 , 0 )[/tex]

[tex]Slope = \frac{0-4}{-1-0} = \frac{-4}{-1} = 4[/tex]

A booster club paid for pizzas for an end of season party. They paid $13 for each pepperoni pizza and $11 for each plain pizza. The club bought a total of 18 pizzas for the party and paid a total of $212. Drag and drop the numbers to the boxes to create an equation which models this situation if x = the number of pepperoni pizzas and y = the number of plain pizzas bought.

Answers

Answer:

13x + 11y = 212

Step-by-step explanation:

total cost of purchasing an item = unit cost x total units purchased

total cost of purchasing pepperoni pizza = 13 × x = 13x

total cost of purchasing plain pizza = 11 × y = 11y

total cost of purchasing both items = total cost of purchasing pepperoni pizza + total cost of purchasing plain pizza

- 13x + 11y = 212

Simplify the expression....​

Answers

Answer:

−3x^2+2x /x−2

Step-by-step explanation:

4x−9x^3/ 3x^2−4x−4

=  −9x^3+4x /3x^2−4x−4

=  x(−3x+2)(3x+2) /(3x+2)(x−2)

=  −3x^2+2x /x−2

The two triangles are similar. What is the value of x? Enter your answer in the box. x = Two right triangles, one smaller than the other, back to back, so that their right angles form a straight angle. The two acute angles along the straight angle are congruent to each other. The overlapping part of the legs is labeled 12. The part of the overlapping side that extends above the smaller triangle is labeled 3. The leg of the smaller triangle that is a ray of the straight angle is labeled 3 x plus 1. The leg of the larger angle that is a ray of the straight angle is labeled 4 x.

Answers

Answer:

The two triangles are similar.

What is the value of x?

Enter your answer in the box.

x=

The value of x is 7 units.

What is Similarity of Triangles?

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

Given :

AD = 6 units , BD = 8 units, m∠ABC = m∠DBE = 90° and              

∠DEB ≅ ∠ACB

Now, AB = AD + BD

              = 8 + 6 = 14 units

Now, In ΔABC and ΔDBE,

∠DBE = ∠ABC ( Each of 90° )

∠DEB = ∠ACB ( given )

So, By using AA postulate of similarity of triangles , ΔABC ~ ΔDBE

Now, proportion of the corresponding sides will be equal.

AD/ DB= BC/ BE

14/8 = 3x/ 2x-2

4x= 28

x= 7

Hence, the value of x is 7 units.

Learn more about similarity of Triangle here:

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Express the linear function in slope intercept form.

Answers

Y=1/4 x -3

Just look at the graph

Find the missing length indicated

Answers

Answer:

x = 240

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

( leg of big Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )

x² = 144 × 400 = 57600 ( take the square root of both sides )

x = [tex]\sqrt{57600}[/tex] = 240

Please help I’ll give brainliest

Answers

Answer:

Step-by-step explanation:

a). 0.03 (km)³ = 0.03(1000m)³

                      = 0.03 × 10⁹

                      = 3 × 10⁷ m³

b). 5.43 cg³ = 5.43(0.01g)³

                   = 5.43 × (10⁻⁶) g³

c). 6052 mL³ = 6052(10⁻³L)³

                      = 6052 × 10⁻⁹ L³

                      = 6.052 × 10⁻⁶ L³

d). 2100 m³ = 2100(10⁻³Km)³

                   = 2100 × 10⁻⁹ Km³

                   = 2.1 × 10⁻⁶ Km³

Find x . Please and thank you

Answers

Answer:

x = 6

Step-by-step explanation:

In similar triangles,  corresponding sides are in same ratio

[tex]\frac{x+3}{3}= \frac{6}{2}\\\\ \frac{x+3}{3}=3\\\\x+3 = 3*3\\\\x+3 = 9\\\\x = 9-3\\\\x = 6[/tex]

Find the reciprocal of 2/5.

Answers

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

The reciprocal of a number n is [tex]\frac{1}{n}[/tex] , then

reciprocal of [tex]\frac{2}{5}[/tex] is [tex]\frac{1}{\frac{2}{5} }[/tex] = [tex]\frac{5}{2}[/tex]

Determinar el valor de las siguientes progresiones:

1)4, 12, 36, 108,…
2)4, 20, 100, 500,…
3)5, 10, 20, 40,…

Answers

Answer:

Step-by-step explanation:

1) . .324, 972, 2916

2) ...2500, 12500, 62500

3). . 80, 160, 320

Please solve 5 and 6 only ​

Answers

Answer:

5. 80%

6.1.05 kilograms

Step-by-step explanation:

5. Plugging in the values into the formula, we get:

% difference = |60000 - 140000(60000 + 140000)/2| × 100% =

|60000-140000200000 / 2| × 100% =

|-80000100000| × 100% =

80000100000 × 100% =

0.8 × 100% =

80%

If this helps you, please mark brainliest!

Have a nice day!

6. 25% of 4kg 200g=1.05 kg

given the midpoint ( M) and either endpoint of AB , find the other endpoint. B(-10,-7) and M(-2,1)​

Answers

Answer:

is equal to

(-12)

(-6) this is the endpoint

I’m a failed in math lol

Answers

A= 4πr^2

4•π•5^2

= 314.159
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