You've poured some 8% (by mass) alcohol solution and some 12% alcohol solution into a large glass mixing container. Now you have 760
grams of 10% alcohol solution. How many grams of 8% solution and how many grams of 12% solution did you pour into the mixing container?

Answers

Answer 1

Step-by-step explanation:

you mixed an 8% and a 12% solution together.

so, you get (8%×mass1 + 12%×mass2)/((mass1 + mass2)/2) as resulting % of the combined solution.

since the result is 10%, which is precisely the arithmetic middle

(8 + 12)/2

we see that mass1 = mass2.

in other words : the same quantity (mass) of the 8% solution and the 12% solution was mixed together.

so, 760g = 2×mass

=>

mass = 380g

380g of the 8% solution and 380g of the 12% solution were mixed together.


Related Questions

MATH WEEK 5 HOMEWORK

Answers

Answer:

y=3/5x-1 or y=0.6x-1

Step-by-step explanation:

Answer:

y=3/5x-1 or y=0.6x-1

Step-by-step explanation:

Solve: 3,204 ÷ 119
Show the remainder as a fraction.

Answers

3204:119=

=26,92

=27/10

Analyze the diagram below and complete the instructions that follow. find sin angle C

Answers

the answer is A ;

sin = opposite/ hypotenuse

= 24/ 26 ( we need to simplify it)

= 12/13

Answer:

A or 12/13

Step-by-step explanation:

In the diagram, mcd=128º and mpA=76º. What is McABC?

Answers

Answer:

D. 102°

Step-by-step explanation:

m∠ABC = m∠ABD + m∠CBD =    Angle addition postulate1/2mCD + 1/2mAD =     Angle measure is the half the intercepted arc1/2(128) + 1/2(76°) = 102°

What is the solution to (x – 5)(2x + 1)(x – 7) > 0?

BRAINLIESTTT!!!!

Answers

The answers are x>5, x>-1/2, x>7

If any of the terms is 0 it makes the whole equation 0. Because we know anything multiplied by 0 is 0.

0 (B) (C) = 0
(A) 0 (C) = 0
(A) (B) (0) = 0

So we can just set up each of the terms in separate equals in regards to being greater than 0.

x - 5 > 0
5

2x + 1 > 0
-1/2

x - 7 > 0
7

Steven measures the weight of a random sample of 49 basset hounds the mean wait was 45.8 lb with a standard deviation of 3 lb using the alternative hypothesis that Miu is less than 45.8 Steven found a ztest statistic of -1.5 what is the p value of the test statistic​

Answers

Answer: 0.067

Step-by-step explanation:

Look at chart, go to the row for the z-column for -1.5 and then the column 0, this value is 0.0668 or 0.067.

The p-value of the test statistic is approximately 0.0668.

Given that,

Steven measured the weight of a random sample of 49 basset hounds.

The mean weight of the sample was 45.8 lbs.

The standard deviation of the sample was 3 lbs.

Steven used an alternative hypothesis that the true mean weight is less than 45.8 lbs.

Steven found the z-test statistic of -1.5.

Based on the information provided,

We can see that Steven has conducted a hypothesis test to determine whether the true mean weight of basset hounds is less than 45.8 pounds.

To calculate the p-value for this test statistic,

Use a standard normal distribution table to determine the area under the curve to the left of the z-score of -1.5.

Using a standard normal distribution table,

Find that the area to the left of -1.5 is approximately 0.0668.

This means that there is a 6.68% chance of getting a sample mean of 45.8 or less assuming that the true population mean is actually 45.8.

Alternatively, we can use a calculator to find the p-value.

Using a calculator, we would input the z-score of -1.5 and the degrees of freedom (which is n-1, or 48 in this case) into the calculator.

This would give us a p-value of approximately 0.0668 as well.

Thus,

The p-value of the test statistic is approximately 0.0668.

To learn more about statistics visit:

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someone plz help plz

Answers

Answer: -1/7

I hope this helps I would appreciate brainliest if possible :)

5. Aisha is older than Favour Zainab is older than Aisha Favour is older than Jessica Aisha is younger than Michael Who is the youngest?

Answers

Answer:

Denote by A, F, Z, J, and M

A > F        A is out

Z > A      so Z is out

M > A      so M is out

F > J       so F is out

That leaves only J, Jessica

Also from above one can write:

(M, Z)  > A > F

that only leaves J

1. In the adjoining figure, p||q .Find the unknown angles.

Answers

Answer:

Step-by-step explanation:

d  = 125   {corresponding angles are equal}

e + 125 = 180   {linear pair}

e = 180 - 125

e = 55

f = e   {Vertically opposite angles}

f = 55

c = f   {corresponding angles are equal}

c = 55

a = c  {Vertically opposite angles}

a = 55

b =d   {Vertically opposite angles}

b =  125

Answer:

a = 55°

b = 125°

c = 55°

d = 125°

e = 55°

f = 55°

Step-by-step explanation:

125 + e = 180

e = 180 - 125

e= 55°

e = f = 55°

f = a (being alternate angles)

a = c( being vertically opposite angles)

d = 125°(being corresponding angles)

d = b (being vertically opposite angles)

. for fraction having same numerator, the fraction with the __________ denominator is the greater number ​

Answers

The fraction with the smaller denominator is the greater number.

Answer:

883773737383838837373737

find the values of p and q such that 4x^2+12=4(x-p)^2+q
!!!!!

Answers

Answer:i dont know please answer this

Step-by-step explanation:


real answers only pls help

Answers

Answer:

the 4th

Step-by-step explanation:

Express 15 3/5 as a fraction in simplest form

Answers

Answer: 78/5

Step-by-step explanation:

To simplify this fraction, we should get rid of 15 in order to only have a numerator and a denominator. We would first multiply 15 with 5.

15 * 5 = 75

Then we would add 75 to 3.

75 + 3 = 78

We now have our numerator for our simplified fraction.

78/5

The answer is 78/5..

on a number line, where would 4/10 be located? choose all answers that make a true statement.

Answers

Answer:

A and B only

Step-by-step explanation:

Number lines have smaller numbers on the left and larger numbers on the right. To determine the position of 4/10 on the number line, we just need to compare the value to the values in the answer choices.

a. 4/10 is equivalent to 2/5 (2/5 is just a simplified version of 4/10). If you multiple both the numerator and denominator of 2/5 by 2, you will get 4/10. If you do 4 divided by 10 and 2 divided by 5, you'll also see that they are both equivalent to 0.4. Hence, they have the same value and will be in the same place.

b. 3/10 is smaller than 4/10. In a case where the denominators of two fractions are the same, a smaller numerator would mean a smaller value. In addition, 3/10 is equivalent to 0.3 and 4/10 is equivalent to 4/10 so 0.3 is less than 0.4. That means 4/10 will be on the right of 0.3 because it's a larger number.

c. Using the same logic as part b, 2 is less than 4. That means 2/10 is less than 4/10, so 4/10 would be on the right of 2/10, not the left.

d. Same logic as parts b and c. 7 is greater than 4, so 4/10 should be on the left of 7/10 not right.

A full tin of paint has a mass of 22 kg.When the same tin is 3/4 filled with paint,it has a mass of 17 kg.What is the mass of the empty tin

Answers

Answer: 2 kg

Step-by-step explanation:

3/4(22-x)=17-x

66/4-3/4x=34/2-x

33/2-3/4x=34/2-x

1/4x=1/2

x=2

Answer:

that's 2kg because 22*.75 is 17 the difference is -5 each time. 17- another 5 is 12 or 2/4 the original amount. you keep going and at the end you are left with 2kg

is it weird to be listening to Christmas songs right now

Answers

Answer:

Yes and No

Step-by-step explanation:

Yes, it is weird because Halloween comes first.

No, it's not weird because it is your choice.

bye.

No because people are different.

Let ​f(x)=7x−4​, ​g(x)=x2+4​, and ​h(x)= x+4 7.
Evaluate the expression ​(f◦g◦​h)(3​).

Answers

Step-by-step explanation:

(x/z)=3 (7/5)= x'2

tis is the right answer

plz mark me branlists

y=-4x^2-8x-5 find the axis of symmetry and the vertex for the parabola

Answers

Answer:

x= -1 a x i s of s ym m et ry

(-1, -1) v e r t e x

Step-by-step explanation:

M a t h w a y step by step

Here is the answer !!!!

The person above me is wrong!

What is the area of my lawn if it measures 6m x 5.2m?

Answers

Answer:

31.2 m²

Step-by-step explanation:

Area of Rectangle = (a × b) square units.

so

6 * 5.2 =

31.2 m²

The first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the perimeter is 15 in. How long is the third side?



If s represents the length of the second side, which of the following represents the length of the third side?

s - 4
s + 3
s - 1

Answers

Less would be minus and more is plus so the first side is 4 less than the second, or s - 4, and the third side is 3 more than the first, or
3 + s - 4.
3-4 + s = -1 + s or s - 1

So the answer is the third option, s - 1.

please please help me​

Answers

Answer:

a) Angle(A+B+C) = 180°

3x - 2° + x - 2° + 2x + 4° = 180°

6x = 180°

x = 30°

<A = 3(30°) - 2° = 88°

<B = 30° - 2° = 28°

<C = 2(30°) + 4° = 64°

b) at point Q

3y + 6y = 180°

y = 20°

<Q = 3(20°) = 60°

<S = 20°

x = 180° - (<S + <Q)

x = 180° - (80°)

x = 100°

<R = 100°

The sum of three numbers is 28,542.two of the numbers are 10,350, and 9,750. Find the third number.

Answers

◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦

                             [tex]HELLO! :)[/tex]

28,542-10,350-9,750=8,442So the third number  is 8,442Hope this helps! :)[tex]GraceRosalia[/tex]

Subtracting Unlike denominators 1/3 - 1/6

Answers

Answer:

1/6

Step-by-step explanation:

1/3 - 1/6

1×2/3×2 - 1×1 / 6×1 ( LCM of 3 and 6 )

2/6 - 1/6

2-1/6

1/6 answer

What is 240.50 x 19.54? Give your answer to 2 significant
Show your work

Answers

Answer:

4700

Step-by-step explanation:

240.50 x 19.54

= 4699.37

2 significant = 4700

Answer:

4,699.37

Step-by-step explanation:

240.50 x 19.54 = 4,699.37

Simplify the expression.
2+2 4+3
O 6
o 7
o 21
067

Yall help this is worth 30 points

Answers

30 POINTS? HOLD ONNN

I will give brainliest.
4 (2x - 3) -6 (3x + 4)

Answers

Answer:

-2x .(5x+18)

Step-by-step explanation:

On the following unit circle, θ θtheta is in radians and tan ⁡ ( θ ) = − 0.99 0.1 = − 9.9 tan(θ)= 0.1 −0.99 ​ =−9.9tangent, left parenthesis, theta, right parenthesis, equals, start fraction, minus, 0, point, 99, divided by, 0, point, 1, end fraction, equals, minus, 9, point, 9. y y x x 1 1 − 1 −1 1 1 − 1 −1 θ θ ( 0.1 , − 0.99 ) (0.1,−0.99) A unit circle with an angle from the positive x-axis to a ray labeled theta. The point where the ray intersects the circle is labeled 0.1, negative 0.99 and is in the fourth quadrant. Without a calculator, evaluate the following expressions to the nearest

Answers

Answer: tan(pi+theta)=-9.9

Tan(2pi+theta)=-9.9

Step-by-step explanation:

By trigonometric expressions we conclude that the values of the tangent functions of the angles π + θ and 2π + θ radians are both equal to - 9.9.

How to calculate trigonometric functions from unit circle

A unit circle is a circle with a radius of a unit used to calculate the value of trigonometric functions associated to a right triangle. In this case, the tangent function for a point (x, y) is:

tan θ = y/x     (1)

The trigonometric expression for the tangent of the sum of two angles:

[tex]\tan (\alpha + \theta) = \frac{\tan \alpha + \tan \theta}{1 - \tan \alpha \cdot \tan \theta}[/tex]     (2)

Now we proceed to calculate the trigonometric expressions:

[tex]\tan (\pi + \theta) = \frac{\frac{-0.99}{0.1}+0}{1-\left(\frac{-0.99}{0.1}\right)\cdot (0)}[/tex]

[tex]\tan (\pi + \theta) = -9.9[/tex]

[tex]\tan (2\pi + \theta) = \frac{\frac{-0.99}{0.1}+0}{1-\left(\frac{-0.99}{0.1}\right)\cdot (0)}[/tex]

[tex]\tan (2\pi + \theta) = -9.9[/tex]

By trigonometric expressions we conclude that the values of the tangent functions of the angles π + θ and 2π + θ radians are both equal to - 9.9.

To learn more on trigonometric expressions: https://brainly.com/question/6904750

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how do you check 2(3x - 3) + 2 = 26

Answers

the answer is x= 5. to check the problem you want to substitute x for 5.

what is 5/8x+4=3/8x+12

Answers

Answer: It equals 32!

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation

Simplify 6days to 4weeks to it lowest term in ratio

Answers

4 weeks = 28 days,
ratio = 6:28,

simplified ratio = 3:14
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