Raina makes fruit punch with 24.2 ounces of apple juice and 18.4 ounces of pineapple juice. He splits the fruit punch equally into 6 glasses.


How much fruit punch is in each glass

Answer:

2(x + 5)

Step-by-step explanation:

1. Common factor

2x + 10

2(x + 5)

Solution

2(x + 5)

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Answer:

XYZ = 21.8

Step-by-step explanation:

the missing angle is XYZ

using a calculator:

so XYZ = 21.8

Answer:

Step-by-step explanation:

Rap music is generally more popular with young blacks than young whites, during the 80s-90s when rap was becoming more popular with artists such as 2pac, BIG, Dr. Dre, etc they were more popular among young blacks than whites

The distance from the center of dilation, Q, to the image of vertex A will be 4 units.

According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.

Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.

By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x  3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.

Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.

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Answer:

False I think

Step-by-step explanation:

To determine values of a and b that show the student's claim is false, we need to find a solution where the system of equations has either no real solutions or infinitely many solutions.

Let's examine the given system of equations: ax + 6y = 42

8x + by = 21. To have exactly one real solution, the system must be consistent and independent, meaning the two equations represent distinct lines that intersect at a single point. For the system to have no real solutions or infinitely many solutions, there must be some relationship between the coefficients a and b that makes the equations dependent or inconsistent.  To find such values, we can compare the slopes of the two lines represented by the equations. The slope of the first equation, ax + 6y = 42, can be calculated as: slope1 = -a/6. The slope of the second equation, 8x + by = 21, can be calculated as: slope2 = -8/b. If the slopes are equal, the lines are parallel, and the system has no solution. If the slopes are both zero, the lines coincide, and the system has infinitely many solutions. For the system to have exactly one real solution, the slopes must be different. To demonstrate that the student's claim is false, we need to find values of a and b that make the slopes equal or both zero. For example, let's set the slopes equal:- a/6 = -8/b. Cross-multiplying, we get: -ba = -48. If we choose a = 6 and b = 8, the equation becomes:-8a = -48. This implies that -48 = -48, which is true for any real value of a.Therefore,  a = 6 and b = 8.

Therefore, when a = 6 and b = 8, the system of equations has infinitely many solutions, contrary to the student's claim. Hence, the value of a is 6, and the value of b is 8.

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Answer:

this shouldnt be in math but the answer is c

Step-by-step explanation:

There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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Answer:

True.

Step-by-step explanation:

The Han era was when paper and porcelain was invented. It was a time of peace when China could build up.

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Answer:

Therefore, the appropriate measure of variability for this data set is the IQR, and its value is 2.

Step-by-step explanation:

The range is the simplest measure of variability and is the difference between the largest and smallest values. In this case, the largest value is 20 and the smallest value is 2, so the range is:

Range = 20 - 2 = 18

However, since there are some extreme values (2 and 20), it may be better to use a measure of variability that is less affected by outliers. The interquartile range (IQR) is a good measure of variability that is less affected by extreme values.

To find the IQR, we need to find the median of the data set. The median is the middle value when the data is arranged in order. In this case, the data set has an even number of values, so the median is the average of the two middle values:

Median = (10 + 12) / 2 = 11

Next, we need to find the first quartile (Q1) and the third quartile (Q3). Q1 is the median of the lower half of the data set, and Q3 is the median of the upper half of the data set. In this case, the lower half of the data set is {2, 10, 10} and the upper half of the data set is {12, 12, 20}.

Q1 = Median of lower half = 10

Q3 = Median of upper half = 12

So, the IQR is:

IQR = Q3 - Q1 = 12 - 10 = 2

Therefore, the appropriate measure of variability for this data set is the IQR, and its value is 2.

Answer:

\(3\frac{12}{13}\)

Step-by-step explanation:

51 / 13 = 3.9231 = 3

51 - (13 x 3) = 12

\(3\frac{12}{13}\)

Answer:

3 12/13

Step-by-step explanation:

51/13

13 goes into 51 3 times

13*3 =39

51-39 =12

The 12 goes over the denominator

3 12/13

Answer:

\(\{58198.2573,58239.7427\}\)

Step-by-step explanation:

We assume that the following conditions are true before constructing the confidence interval:

Assumption #1: Random Sampling.

Assumption #2: Independence.

Assumption #3: Large Sample.

Assumption #4: The 10% Condition (sample size is no bigger than 10% of population

Assumption #5: The Success / Failure Condition.

Assumption #6: Homogeneity of Variances.

A 95% confidence level correlates to a critical value of \(z^*=1.96\), hence:

\(\displaystyle CI=\bar{x}\pm z^*\biggr(\frac{s}{\sqrt{n}}\biggr)\\\\CI=58219\pm 1.96\biggr(\frac{56}{\sqrt{28}}\biggr)\\\\CI=58219\pm20.7427\\\\CI=\{58198.2573,58239.7427\}\)

Therefore, we are 95% confident that the true mean of the average yearly income for a married couple living in city C is between $58,198.2573 and $58,239.7427

To calculate the percent recovery for each component in a mixture, the initial ratio of the components is given as 2:2:1 for acetylsalicylic acid, p-acetamidophenol, and sucrose, respectively. The percent recovery is determined by comparing the actual mass obtained for each component to the expected mass assuming 100% recovery. The formula used is actual mass divided by expected mass multiplied by 100. Additionally, the total percent recovery is calculated by dividing the mass collected from all components by the starting mass and multiplying by 100.

a. The initial mixture consists of acetylsalicylic acid, p-acetamidophenol, and sucrose in a ratio of 2:2:1.

b. To determine the expected mass of each component assuming 100% recovery, you need the starting mass of the mixture and the ratio of the components. However, the starting mass is not provided in the question, so the expected masses cannot be calculated accurately.

c. The percent recovery for each component can be calculated using the formula: percent recovery = (actual mass / expected mass) * 100. Without the actual and expected masses, it is not possible to calculate the percent recovery accurately.

d. The total percent recovery can be calculated by dividing the mass collected from all components by the starting mass and multiplying by 100. Since the starting mass is not given, the total percent recovery cannot be determined.

Without the necessary information, such as the starting mass and actual masses of the components, it is not possible to calculate the percent recovery accurately.

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f(x) = |x-6| as a piecewise function should be option B

 x - 6, x ≥ 6

   -x + 6, x < 6

To help us identify the right piecewise function, we should note the following;

The function f(x) = |x - 6| breaks at the point x = 6. For values of x greater than or equal to 6, f(x) = x - 6. For values of x less than 6, f(x) = 6 - x.

The function f(x) = |x-6| measures the distance between x and 6 on the number line, not the distance between x and 0.

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a. A

b. C

A is a right triangle

C compared & matched : 2 angles in that triangle are the same number of degrees

Answer:

x = -5/2, (5+5i√3)/4, (5-5i√3)/4

Answer:

I would use equation d

Step-by-step explanation:

because need to find out X which is the second section so you would do 60 subtract 35 which gives 25 so X would be 25 .

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The Given statement "If a distribution is normal, then it is not possible to randomly select a value that is more than 4 standard deviations from the mean"  is a true statement.

A normal distribution is a bell-shaped curve that represents how data is spread out around an average value. About 99.99% of the data in a normal distribution falls within 4 standard deviations from the average.

This means that it is very rare to find a data point that is more than 4 standard deviations away from the average. Therefore, if a distribution is normal, it is not possible to randomly select a value that is more than 4 standard deviation from the mean.

The answer is true.

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The probability of rolling exactly a 1 when a dice is picked randomly from two 4-sided dice and three 6-sided dice is 0.4 or 40%.

To calculate the probability of rolling exactly a 1 when a dice is picked randomly from two 4-sided dice and three 6-sided dice, we need to determine the total number of dice and the number of dice that have a 1 as a possible outcome.

There are two 4-sided dice and three 6-sided dice, so the total number of dice is 2 + 3 = 5.

Out of these five dice, we need to determine how many have a 1 as a possible outcome.

Among the two 4-sided dice, there is only one die (out of two) that has a 1 as a possible outcome.

Among the three 6-sided dice, there is also one die (out of three) that has a 1 as a possible outcome.

Therefore, there are a total of two dice that have a 1 as a possible outcome.

The probability of rolling exactly a 1 when a dice is picked randomly is calculated by dividing the number of favorable outcomes (two dice) by the total number of possible outcomes (five dice):

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 2 / 5

Probability = 0.4

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To find the probability that exactly 3 electric bulbs are defective, we can use the binomial probability formula.

The probability of success (defective bulb) is 1% or 0.01, and the probability of failure (non-defective bulb) is 99% or 0.99. Plugging in these values into the formula, we have P(X = 3) = (250 choose 3) * 0.01^3 * 0.99^(250-3), where (250 choose 3) represents the combination of choosing 3 bulbs out of 250. Evaluating this expression gives us the desired probability. The probability that exactly 3 electric bulbs are defective in a random sample of 250 bulbs can be calculated using the binomial probability formula. By plugging in the values for the probability of success (defective bulb) and failure (non-defective bulb), along with the combination of choosing 3 bulbs out of 250, we can determine the probability.

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Answer:

98cm^2

Step-by-step explanation:

The triangle is equilateral and each side is 14cm

area of triangle: h*b/2

Answer:

Q:12) 9m-1.7m =7.3m

Q:13) 1.5m-0.8m=0.7

Q:14) 60cm-30cm= 30cm

Answer:

Mercury: 0.39 and 0.242

Venus: 0.72 and 0.616

Earth: 1 and 1

Mars: 1.52 and 1.88

Jupiter: 5.20 and N/A

Saturn: N/A and 29.5

Uranus: 19.18 and 84.0

Neptune: 30.06 and 165

Step-by-step explanation:

edge2021

The cash ratio is 0.80, or 0.80:1, which means that the company has $0.80 in cash and cash equivalents for every $1 of current liabilities that it owes.

The cash ratio is a financial ratio that measures the ability of a company to pay off its current liabilities using only its cash and cash equivalents.

The formula for the cash ratio is:

Cash Ratio = (Cash and Cash Equivalents) / (Total Current Liabilities)

Using the information given in the question:

Cash and cash equivalents = $60,000

Total current liabilities = $75,000

Plugging these values into the formula:

Cash Ratio = $60,000 / $75,000 = 0.80

Therefore, the cash ratio is 0.80, or 0.80:1, which means that the company has $0.80 in cash and cash equivalents for every $1 of current liabilities that it owes.

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Answer:

4.5 miles

Step-by-step explanation:

you do 40/3 and get .75, then do .75 times 60 and you get 4.5 miles. her mile a minute ratio is 13 mins and about 23 seconds

The yearly decay factor of a certain quantity with a century decay factor of 0.4 is 0.984.

To find the yearly decay factor of a certain quantity with a century decay factor of 0.4, we can use the formula: Yearly decay factor = (Century decay factor)^(1/100). Substituting the given value, we get: Yearly decay factor = (0.4)^(1/100) ≈ 0.984. This means that the quantity will decay by approximately 1.6% each year.

In contrast to chemical reactions, the decay of a certain nucleus cannot be predicted and is unaffected by physical factors like temperature. There are two factors that affect the rate of isotope decay. The average number of undecayed nuclei in the system must double, as must the rate of decay for undecayed nuclei. the isotope's stability because some decay more quickly than others. The number of nuclei that decay per second is determined by the rate of decay.

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The point on the plane 4x - y + 4z = 40 nearest the origin is (-3.048, -0.762, 6.467)

Given data ,

To find the point on the plane 4x - y + 4z = 40 nearest the origin, we need to minimize the distance between the origin and the point on the plane.

The normal vector to the plane 4x - y + 4z = 40 is given by (4,-1,4). To find the perpendicular distance from the origin to the plane, we need to project the vector from the origin to any point on the plane onto the normal vector. Let's choose the point (0,0,10) on the plane:

Vector from origin to (0,0,10) on the plane = <0-0, 0-0, 10-0> = <0,0,10>

Perpendicular distance from the origin to the plane = Projection of <0,0,10> onto (4,-1,4)

= (dot product of <0,0,10> and (4,-1,4)) / (magnitude of (4,-1,4))

= (0 + 0 + 40) / √(4^2 + (-1)^2 + 4^2)

= 40 / √(33)

To find the point on the plane nearest the origin, we need to scale the normal vector by this distance and subtract the result from any point on the plane. Let's use the point (0,0,10) again:

Point on the plane nearest the origin = (0,0,10) - [(40 / √(33)) / √(4^2 + (-1)^2 + 4^2)] * (4,-1,4)

= (0,0,10) - (40 / √(33)) * (4/9,-1/9,4/9)

= (0,0,10) - (160/9√(33), -40/9√(33), 160/9√(33))

= (-160/9√(33), -40/9√(33), 340/9√(33))

Hence , the point on the plane 4x - y + 4z = 40 nearest the origin is approximately (-3.048, -0.762, 6.467)

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