4(n + 5) = 4 + 2n
Group of answer choices

n = 12

n = -16

n = -7

n = -8

Answer:

It's the second one.

Step-by-step explanation:

It's the second one because the volume of the radius is v and 4/3 gives the radius and after that if you look at the second three then use a calculator to multiple the numbers up it tells you what the numbers are and the number give you r for the volume so it makes it the second one.

Original number = $\frac{3}{4}$. The original number expressed as a common fraction is $\frac{3}{4}$.

1. Reciprocal: This is the result of switching the numerator and denominator of a fraction (or dividing 1 by a whole number).
2. Original number: This is the number we're trying to find.
3. Common fraction: This is a fraction where the numerator and denominator are both integers (whole numbers).

Step 1: Set up the equation using the given information.

One more than the reciprocal of the original number is $\frac{7}{3}$. We can express this as an equation:

Reciprocal of the original number + 1 = $\frac{7}{3}$

Step 2: Solve for the reciprocal of the original number.

Reciprocal of the original number = $\frac{7}{3}$ - 1

Step 3: Simplify the equation.

Reciprocal of the original number = $\frac{7}{3}$ - $\frac{3}{3}$

Reciprocal of the original number = $\frac{4}{3}$

Step 4: Find the original number.

Since we have the reciprocal of the original number, we can find the original number by taking the reciprocal of this value:

Original number = $\frac{1}{(\frac{4}{3})}$

Step 5: Simplify the expression.

Original number = $\frac{1}{1} \times \frac{3}{4}$

Original number = $\frac{3}{4}$

The original number expressed as a common fraction is $\frac{3}{4}$.

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Answer:

Step-by-step explanation:

Answer:

x=y+20

Step-by-step explanation:

y=x-20

Swap sides so that all variable terms are on the left hand side.

x-20=y

Add 20 to both sides.

x=y+20

Answer:

x= y+20

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the ages of father and son if their total age is 48, and 4 years ago the father was 9 times as old as the son.

Four years ago, each was 4 years younger, so their total age was 8 years less than it is now. At that point in time, the ratio of ages was ...

  son : father = 1 : 9

so the fraction of the total that was the son' age was 1/(1+9) = 1/10. That fraction is ...

  1/10 × 40 = 4

The son's age four years ago was 4, so he is 8 now. The father's age 4 years ago was 4·9 = 36, so he is 40 now.

The son is 8; the father is 40.

__

Additional comment

You can write equations for all of this. Let s represent the son's age now. Then the relation is ...

  9(s -4) = (48-s) -4   ⇒   10s = 80   ⇒   s = 8

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The father is currently 36 years old and the son is 12 years old.

The problem can be solved by using simple algebra. Let's assume the present age of the father is 'F' and the son is 'S'. Then, according to the given conditions:

By solving these two equations, one can find the present ages of the father and the son. On solving, we get Father's present age as 36 and Son's present age as 12.

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The total score of the players is -3700.

Addition is a way of combining things and counting them together as one large group. Addition is a process of combining two or more numbers. Addends are the numbers added, and the result or the final answer we get after the process is called the sum. It is one of the essential mathematical functions we use in our everyday activities. There are many situations in which we use to add numbers. One of the most common everyday uses for adding numbers is when we work with time or money—for example, adding up bills and receipts.

From question;

Sum of players score will be;

Sum = 500 + (-1500) + (-2200) + 400 + (-600) + (-300)

Sum = 500 - 1500 - 2200 + 400 - 600 - 300

Sum = -3700

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The ratio of red apples to all apples in the basket is 3:11, whereas all apples to green is 11:8

Total number of green apples = 8

Total number of red apples = 3

Calculating the total number of apples -

Total number of green apples + Total number of red apples

= 8 + 3

= 11

Calculating the ratio of red apples to all apples in the basket -

= Total number of red apples / Total number of apples

= 3/11

Thus, for every 11 apples in the basket, 3 of them are red.

Calculating the ratio of all apples in the basket to green apples -

Total number of apples / Total number of green apples

= 11/8.

Thus, for every 8 green apples in the basket, there are a total of 11 apples in the basket.

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The values of b and a for the logarithmic function in this problem are given as follows:

The logarithmic function in the context of this problem has the format given as follows:

\(y = b\log_3{x + a}\)

The vertical asymptote is at x = -4, hence:

\(y = b\log_3{x - 4}\)

When x = 5, y = -1, hence the parameter b is obtained as follows:

\(-1 = b\log_3{5 - 4}\)

0.477b = -1

b = -1/0.477

b = -2.1.

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The length of WX is √18 or approximately 4.24.

Coordinates are a set of values that specify the position or location of a point in a two- or three-dimensional space. In two-dimensional space (often represented as a plane), coordinates consist of two values, typically denoted as (x, y).

The x-coordinate represents the position of the point along the horizontal axis, while the y-coordinate represents its position along the vertical axis.

To find the length of WX, we need to use the distance formula, which is:distance = √[(x2 - x1)² + (y2 - y1)²]
Using the coordinates of W(2,-7) and X(5,-4), we can plug in the values to the formula:

distance = √[(5 - 2)² + (-4 - (-7))²]
distance = √[3² + 3²]
distance = √18

Therefore, the length of WX is √18 or approximately 4.24. The answer is not listed among the given options, but the closest one is option B, which is 6. However, 6 is not the correct answer. The correct answer is √18.

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Answer:

The length of segment WX on the coordinate plane is 6√2 units.

Step-by-step explanation:

\(7p - 4p - p \\ \\ 7p - 5p \\ \\ 2p.\)

Solution is : 2p .

Answer:

David should pack 12 apples and 4 bananas

Answer:

3q + 7 = 40

Step-by-step explanation:

Answer:

6/11

Step-by-step explanation:

Since there are 3 possible outcomes for the game (win,lose and draw) and the total probability for the three outcomes must be equal to 1.

Then;

The probability that the game will be a draw Pd = 1 - (probability that they will lose Pl + probability that they will win Pw)

Pd = 1 - (Pl + Pw) ........1

Given;

Pl = 3/11

Pw = 2/11

Substituting the values into equation 1;

Pd = 1 - (2/11 + 3/11)

Pd = 6/11

The probability that the game will be a draw Pd = 6/11

The ratio of students that got A to students that got B is an illustration of comparison

The number of students that got A in the test is 8y/x

The ratio of the student is given as:

A : B = y : x

8 students got B in their final test.

So, the ratio becomes

A : 8 = y : x

Express the ratio as a fraction

\(\frac A8 = \frac yx\)

Multiply both sides by 8

\(A = \frac{8y}x\)

Hence, the number of students that got A in the test is 8y/x

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Answer:

108

Step-by-step explanation:

240 x 0.45 = 108

In order to find the percentage of something, turn the percentage into a decimal and multiply it by the number. For example 45% becomes 0.45. Then to find the answer you multiply it by 240, finding what 45% of 240 is.

Answer:

108

Step-by-step explanation:

First find 40% of 240 = 96

Then 5% of 240 = 12

Add both of them together

96 + 12 = 108

The fraction 9/80 cannot be simplified further, so that is the final answer.

Claudia has a total of 16/3 gallons of paint, and 3/5 gallons of that amount is red. To determine the fraction of Claudia's paint that is red, we need to express the amount of red paint as a fraction of the total amount of paint.

Let's denote the fraction of red paint as r and the total amount of paint as p.

We know that the amount of red paint is 3/5 gallons, which can be expressed as r = 3/5.

The total amount of paint is 16/3 gallons, which can be expressed as p = 16/3.

To find the fraction of Claudia's paint that is red, we divide the amount of red paint by the total amount of paint:

Fraction of red paint = r/p = (3/5) / (16/3).

To divide fractions, we multiply the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction:

Fraction of red paint = (3/5) * (3/16) = 9/80.

Therefore, the fraction of Claudia's paint that is red is 9/80.

It's important to note that fractions should be simplified if possible. In this case, the fraction 9/80 cannot be simplified further, so that is the final answer.

In conclusion, the fraction of Claudia's paint that is red is 9/80.

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Answer:

11.83

Step-by-step explanation:

11.83 because you would add them to find distance and 7.65+4.18=11.83

The required distance on the number line between the points -4.18 and 7.65 is 11.83

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Given that,  the distance between 7.65 and -4.18 on a number line

On the number line, -4.18 lies on the left of the zero, and 7.65 lies on the right, so the required distance would be the addition of the two points. So,

Distance = 7.65 - (-4.18)

Distance = 7.65+4.18

Distance = 11.83

Thus, the required distance on the number line between the points -1.85 and 7.36 is 9.21.

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The margin of error of a confidence interval increases as:
c) the population standard deviation increases.



The margin of error (MOE) is influenced by three factors: the confidence level, the population standard deviation, and the sample size.

1. Confidence level: As the confidence level increases, the margin of error also increases because a higher confidence level requires a wider interval to ensure that the true population parameter is captured.
2. Standard deviation: As the population standard deviation increases, the margin of error also increases. A higher standard deviation indicates more variability in the population, leading to a wider confidence interval to account for this variability.
3. Sample size: As the sample size increases, the margin of error actually decreases because a larger sample provides more accurate estimates of the population parameter.

Therefore, among the given options, the margin of error of a confidence interval increases as the population standard deviation increases (option c).

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The number of players the team can bring to the tournament would be = 24 players

The softball game is the type of game that involves two teams which is made up of 9. - 10 players.

The total amount of money raised by a softball team=

$2089.50

The amount of money spent on rented bus = $1087.50

The amount left after rent deductions= 2,089.50 - 1,087.50 = 1,002

The amount budgeted for meals for each player= $41.75

The number of players that would be brought for tournament= 1,002/41.75

= 24 players.

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Answer: B, the mean would increase.

Answer:    OPTION (D):

OPTION (D): The Mean Number of Flyers Handed out would  DECREASE.

Leah realized that She Had Left out a student who handed out Forty-Two (42) Flyers, which would have resulted in a Decrease in the Overall, and Hence, a Decrease in the Average.

Therefore, OPTION (D): The Mean Number of Flyers Handed out would  DECREASE.

I hope this helps you!

Answer:

Answer:

real:√2, 3,-1, 1/2 etc

natural: 1,2,3,4,5,6.....(0 is not included)

integers:. .............-4,-3,-2,-1,0,1,2,3,4........ etc

rational: nos. which are in p/q form

:1/2,3/4,4/9 etc

irrational: nos. which cannot be written in p/q form

: √2,√3... etc

irrational: √2, √3, √5, √11, √21, π(Pi)

Answer:

32+n

Step-by-step explanation:

32 more than the number n would be 32+n.

Hope this helps!

To determine Brian's speed, we need to find the rate at which the number of miles on the odometer changes with respect to the number of minutes Brian has been riding the moped. In other words, we need to calculate the slope of the linear function represented by the table of values.

Let's calculate the slope using the first and last data points from the table:

Number of Miles Traveled:

0 -> 3.25

16 -> 7.25

Number of Minutes Brian Has Been Riding Moped:

4 -> 16

To calculate the slope (speed), we use the formula:

slope = (change in y)/(change in x) = (y2 - y1)/(x2 - x1)

Substituting the values from the table:

slope = (7.25 - 3.25)/(16 - 0)

= 4/16

= 0.25

Therefore, Brian's speed is 0.25 miles per minute.

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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Answer:

the should be one more piece of information..

Step-by-step explanation:

may be your answer is

55/x

Answer

The answer is that is would cost $  to buy 3 bags of popcorn and 4 sodas.

Step-by-step explanation:

To answer this question you will set up a system of equations to represent each scenario.  Solve for one variable and substitute that in to the other equation to find the missing value.  This example will have you solving for p, the price of popcorn or s for the price of soda.

The equation for the first night would look like where p is popcorn and s is soda:

4p + 6s = 32.70

The equation for the second night would look like where p is popcorn and s is soda:

2p + 4s = 19.30

so first you'd solve the first equation and it would look like this:

4p + 6s = 32.70

-4p       -4p         *minus 4p from both sides*

6s = -4p + 32.70

/6       /6              *divided by 6 on both sides*

s = 5.45 − 2/3p

Then put (-2/3p + 5.45) into the second equation for S. Then solve which will look like this:

2p + 4 (−2/3p + 5.45)

2p − 8/3p + 21.8 = 19.3

*To write 2p as a fraction with a common denominator, multiply by

3/3*

2p ⋅ 33 − 8/3p + 21.8 = 19.3

*simplify terms*

2p ⋅ 3 - 8/3p + 21.8 = 19.3

−2/3p + 21.8 = 19.3

          - 21.8   - 21.8

-2/3p = -2.5

/(-2/3)   /(-2/3)

p = 3.5  

The price of popcorn is 3.50 and the soda is  5.45 − 2/3(3.5) *filling in 3.50 for P* which equals 3.11

So 3 bags of popcorn and 4 sodas will cost 22.94.

my answer my not be right but the process is. so try to go through it yourself.

It could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.

The most accurate interpretation of the given confidence interval is as follows:

We are 95% confident that the true difference in mean wait time between Facility A and Facility B falls within the range of 0.32 minutes to 1.47 minutes.

This means that if we were to repeat the study multiple times and calculate a new confidence interval each time, we would expect that approximately 95% of those intervals would contain the true difference in mean wait time between the two facilities.

Furthermore, based on the observed data and the calculated confidence interval, we can conclude that the difference in mean wait time between Facility A and Facility B is likely to be positive, with Facility B having a higher mean wait time than Facility A. However, we cannot say with certainty that the true difference is exactly within this specific range; it could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.

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Answer: 17 degrees

Step-by-step explanation:

As the tree grows 1& 3/4 feet per year, it will take 9 years to reach a height of 37 feet.

Division is a basic procedure in which an integer is divided. It's best to imagine of it as a number of things being distributed among a particular number of persons, such as in the previous example. In mathematics, division is the process of dividing a number into equal parts and determining how many equal parts can be made. For instance, dividing 15 by 3 implies dividing 15 into three equal groups of five. Dividend Divisor = Quotient + Remainder is the formula for dividing two numbers. The dividend is the number that is being divided in this case. The divisor is the number, which divides the number (dividend) into equal parts.

Here,

37 - 21 and 1/4 = 36 and 4/4 - 21 and 1/4 = 15 and 3/4 = 63/4

63/4 divided by 1 and 3/4 = 63/4  divided by 7/4 = 63/4 * 4/7 = 9 years

It will take 9 years to reach at the height of 37 feet as the tree grow 1& 3/4 feet per year.

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Complete question:

A tree grow 1& 3/4 feet per year. How long will it take the tree to grow from a height of 21 & 1/4 feet to a height of 37 feet?