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if equal amounts of a 50% alcohol solution and a 20% alcohom somution are mixed, what percentage of the mixture is alcohol

Answers

Answer 1

Answer:

Answer: 60%

Is NOT RIGHT

Step-by-step explanation:

I don’t know

Answer 2

Answer:

Final answer:

To calculate the percentage of alcohol in the mixture, multiply the percentage alcohol by the volume of each solution, add the alcohol content of both solutions, and divide by the total volume of the mixture.

Explanation:

When equal amounts of a 50% alcohol solution and a 20% alcohol solution are mixed, the resulting percentage of alcohol in the mixture can be calculated using the following steps:

Calculate the alcohol content of each solution by multiplying the percentage alcohol by the volume in liters. The 50% alcohol solution has a content of 0.5 x volume, and the 20% alcohol solution has a content of 0.2 x volume.
Add the alcohol content of both solutions together to get the total amount of alcohol in the mixture.
Divide the total amount of alcohol by the total volume of the mixture to get the percentage of alcohol in the mixture.

For example, if we mix 1 liter of the 50% solution with 1 liter of the 20% solution, we would have a total volume of 2 liters. The alcohol content of the 50% solution would be 0.5 x 1 liter = 0.5 liters, and the alcohol content of the 20% solution would be 0.2 x 1 liter = 0.2 liters. Adding these together, we have a total alcohol content of 0.5 + 0.2 = 0.7 liters. Dividing this by the total volume of 2 liters gives us a percentage of 0.7/2 = 0.35, or 35% alcohol in the mixture.

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Mikey is typing in the computer lab and typing at 23 words per minute. If he types for 11 minutes, how many words does he type?

Answers

Answer:

253

Step-by-step explanation:

23 x 11 = 253

The ratio of Alex’s toy cars to Jim’s toy cars is 8:3. How many toy cars do they have altogether, if Alex has 40 more cars than Jim?

Answers

Answer:

88 cars

Step-by-step explanation:

8x-3x=5x

40 cars = 5x

divide both sides by 5

x=8 cars

8x+3x=11x

11x=88 cars altogether

Solve for x*
(17x - 8)

Answers

For given question, x = 4

What is an equilateral triangle?

"It is a triangle with all three sides of equal length and each angle measures 60°."

What is an equation?

"It is a statement which consists of equal symbol between two mathematical expressions."

From given figure,

we can observe that the all sides of the triangle are equal.

This means, the given triangle is an equilateral triangle.

So, each angle of triangle measures 60°.

So, we get an equation,

⇒ 17x - 8 = 60°

⇒ 17x = 60 + 8

⇒ 17x = 68

⇒ x = 68/17

⇒ x = 4

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Answer:x=4

Step-by-step explanation:

This triangle is an equilateral triangle with all angles equal.

Sum of angles in a triangle=180

17x-8+17x-8+17x-8=180

Collect like terms

17x+17x+17x-8-8-8=180

51x-24=180

51x=180+24

51x=204

Divide both sides by 51

51x/51=204/51

x=4

Which Number Is Rational?

Answers

Answer:

A. 0.333...

Step-by-step explanation:

Any repeating decimal can be written as a ratio of two integers, hence is rational. 0.333... = 1/3

The last offering appears to be a non-repeating infinite-length decimal, hence is irrational.

Of course π is irrational, as is the square root of any integer that is not the square of an integer.

Edwin raps for 10 minutes on Monday. On Tuesday he raps for anhour. Find out how many minutes he has practiced so far this week.

Answers

Answer:1 hour and 10 mins

Step-by-step explanation: on Monday he raps for 10

Tuesday he raps for 1 hour

1 h +10m =1 h and 10 min

To construct a confidence interval using the given confidence level, do whichever of the following is appropriate. (a) Find the critical value z Subscript alpha divided by 2, (b) find the critical value t Subscript alpha divided by 2, or (c) state that neither the normal nor the t distribution applies. 95%; nequals200; sigma equals 19.0; population appears to be skewe

Answers

Answer:

The correct option is (a).

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and take appropriately huge random-samples (n > 30) from the population with replacement, then the distribution of the sample- means will be approximately normally-distributed.

Then, the mean of the sample means is given by,

$\mu_(\bar x)=\mu$

And the standard deviation of the sample means is given by,

$\sigma_(\bar x)=(\sigma)/(√(n))$

The information provided is:

n = 200

σ = 19.0

Population is skewed.

As the sample selected is quite large, i.e. n = 200 > 30 the central limit theorem can be used to approximate the distribution of the sample mean by the normal distribution.

So, $\bar X\sim N(\mu, (\sigma^(2))/(n))$ .

Then to construct a confidence interval for mean we will use a z-interval.

And for 95% confidence level we will compute the critical value of z, i.e. $z_(\alpha/2)$ .

Thus, the correct option is (a).

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