Freddy is 4 years older than 8 times his grandson's age. The sum of their ages is greater than 67.

What is the youngest age Freddy's grandson can be?

Answer:

11

Step-by-step explanation:

you do 2000 - 350

you would get 1650

and you divide it by 150

it would look like this 1650 ÷ 150 = 11

Answer:

Therefore, the other side length of the Rectangle b = 4 (4/9)

Step-by-step explanation:

Although crucial information that area of the rectangle is missing we can assume it be 10 square units for understanding purposes.

Let the sides of the rectangle be a and b.

Given a = 2 1/4 units

a = 9/4 units

b=?

Area of a rectangle = product of its sides = a×b

⇒ a×b= 10

⇒ 9b/4 = 10

⇒ b= 40/9 = 4 (4/9)

Therefore, the other side length of the Rectangle b = 4 (4/9)

Answer:

angle 2= 110

angle 3= 70

angle 4=  70

Step-by-step explanation:

because angle 2 is parallel and a line is 180

Answer:

Angle 2-110

Angle 3- 70

Angle 4- 70

Step-by-step explanation:

Answer:

C. 6.75n = 114.75

Step-by-step explanation:

The store collects $114.75, each magazine is 6.75, the number of magazines is shown by n.

Answer: The answer is A.

It is A because you have to divide the total by the cost to find out the amount of magazines purchased.

Answer:

x = 3.5

Step-by-step explanation:

\(\frac{3}{5}\) (10x + 15) = 30

10x + 15  = 30 * \(\frac{5}{3}\)  

10x + 15   = 10 * 5

10x + 15   = 50           {Subtract 15 form both sides}

         10x = 50 -15

        10x = 35         {Divide both sides bt 10}

    10x/10 = 35/10  

          x = 3.5

Answer:

\(\displaystyle 5040\)

Step-by-step explanation:

You have ten digits, but can only choose from four each time. Therefore, you will use the formula pertaining to permutations [order matters]. Here is how it is done:

\(\displaystyle \frac{n!}{[-k + n]!} = {}_nP_k \\ \\ \frac{10!}{[-4 + 10]!} = \frac{10!}{6!} \Longrightarrow \frac{[2][3][4][5][6][7][8][9][10]}{[2][3][4][5][6]} \\ \\ \\ \boxed{5040} = [7][8][9][10]\)

So, there will be five thousand forty different passwords, or in this case, combinations.

I am joyous to assist you at any time.

The partial sums of arithmetic sequences to determine its value. In the given, question, the value of the sum of sequence is \(\rm (S_n -1624)\).

The total of an arithmetic sequence's terms is an arithmetic series. The first and last terms of an arithmetic series can be used to calculate the nth partial sum as follows: \(\rm S_n=n(_a_1+a_n)_2\).

\(\rm S_n = \dfrac{n}{2} (a_1 + a_2) \\\\ a_n = a_1 + d (n-1)\)

Given, 23 +17+ ... + (1-139)

\(a_n = a_1+d _(_n__-1)\)

Given \(a_n = -139\)

\(a_1=23\)

\(\rm d=a_2-a_1\)

= 17-23

=-6

\(-139 = 23 -6_ (_n_-_1_)\)

\(-139= 23-6_n+6\)

\(6_n = 139+23+6\)

\(6_n=168\)

n= 168/6

=28

\(\rm S_n = 28/2 (23-139)\)

=28/2 (-116)

= -1629

In the given, question, the value of the sum of sequence is \(\rm (S_n -1624)\).

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Answer:

Volume of the cone given rounded to two decimal places is 1415.65in

Explanation:

Volume of a cone

\( = \pi {r}^{2} \frac{h}{3} \)

\( = (3.14)( {9.9}^{2} )( \frac{14}{3} )\)

\( = 3.14 \: \times \: 98.01 \: \times \: 4.6\)

\( = 1415.65644\)

Answer:

OK

Step-by-step explanation:

The phase that is not a part of the planning process for both statistical and non-statistical sampling is determining the sample size.

Determining the sample size is an essential step in statistical sampling, as it involves calculating the number of observations needed to ensure statistical validity. However, in non-statistical sampling, the focus is on selecting specific cases or items for examination based on subjective criteria, rather than relying on statistical principles or sample size calculations. Instead, non-statistical sampling emphasizes judgment and expert knowledge to choose representative samples. By excluding the determination of sample size, non-statistical sampling allows for greater flexibility and adaptability in the sampling process, enabling a more tailored approach to the specific objectives of the study or investigation.

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Answer:

3

Step-by-step explanation:

To calculate the amount that Mary pays in state income tax, we need to find 8% of her annual salary.

Given that Mary's annual salary is $147,362, we can calculate the state income tax as follows:

State Income Tax = (8/100) * Annual Salary

State Income Tax = (8/100) * $147,362

State Income Tax = $11,788.96

Therefore, Mary pays $11,788.96 in state income tax.

The correct answer is C) $11,788.96.

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0 . 12 + 14 . 6 answer is 14 . 72

Answer:

0.12

+ 14.60

14.72

Step-by-step explanation:

at first place 0.12

and add 14.60

your answer is 14.72

while adding make sure the decimal u place must be in same sequence

When interset compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

\(\rm A = P(1+\dfrac{r}{n})^{nt}\)

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

If the interest compounded continuously:

P = $12000, r = 4.5% = 0.045%

\(\rm A(t) =12000(e)^{0.045t}\)

When t = 10 years, plug this value in the above expression and calculating, we get;

A(10) = $18819.75

When interest compounded daily:

\(\rm A(t) = 12000(1+\dfrac{0.045}{365})^{365t}\)

Plug t = 10 years:

We get;

A(10) = $18819.22

Similarly,

If interest is compounded monthly:

n = 12 and t =10, we get:

A(10) = $18803.91

Thus, when interset compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.

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If we assume that 1 Student can have atmost 1 award , then the possible selections for the 4 awards is  657720 .

The total number of students at Gatech is = 30 ;

The 4 awards that are being distributed to students are : Chemistry, English, Math and Physics ;

all the awards are different , and 4 students needed to be chosen out of 30 for 4 awards ; and

every student can have atmost only 1 award

So , the number of ways is = ³⁰P₄ (because order is important) = 657720 ;

Therefore , the possible selection for 4 awards is 657720 .

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The given question is incomplete , the complete question is

At Gatech there are 30 students and 4 awards in Chemistry, English, Math and Physics. Assume that a student can have at most one award.

How many possible selections for the 4 awards ?  

Answer:

the answer is B

Step-by-step explanation:

because it is

We use the PEMDAS rule to answer our question which says in an arithmetic operation the order of precedence is the following.

parenthesis > Exponents > Multiplication/ division > addition/ subtraction.

Having that in mind, we see that there is no parenthesis in our expression, and therefore, we proceed to simplify the exponents. Doing this gives

Next up is multiplication and division, meaning 9 × 8 ÷ 2 is to be simplified.

Since, 9 × 8 ÷ 2 = 36, the expression becomes

Now we do addition and subtraction from left to right and we get

Hence, our expression simplifies to 82.

1 )  The location of a specific piece of real estate may be determined with accuracy using a legal description of the property. This often employs a combination of alphabetical abbreviations and numbers to find the land and is based on current township grids.

The legal description is a completely unique identification for properties, unlike a property address. It must close, which means the lines describing the start and conclusion must finally come together, in order to be legitimate. 

2 ) Metes are a segment of the property line that are established by calculating the separation between two places. It may also establish the orientation of the property plot.

The boundary of a property is referred to as its bounds. Bounds are frequently used to outline larger-scale features.

3 ) A surveying technique called the Public Land Survey System (PLSS) is used to divide real estate into specific plots. It is furthermore frequently called the Rectangular Survey System.

4) A site plan, also known as a plot plan, is a form of drawing used by architects, landscape architects, urban planners, and engineers to represent the current and desired conditions for a specific area, usually a parcel of land that is to be altered.

A land survey plan is a specific map of a piece of land that is made after carefully inspecting and measuring the area. It establishes and defines the positions of boundaries, buildings, physical features, and other important spatial elements.

A plat plan is a scaled-down cadastral map that depicts the divisions of a plot of land.

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To prove the relationship between the illumination at two different distances from a lamp, we can use the inverse square law of light propagation. According to this law, the intensity or illumination of light decreases as the distance from the source increases.

The inverse square law states that the intensity of light is inversely proportional to the square of the distance from the source. Mathematically, it can be expressed as:

I1 / I2 = (D2 / D1)^2 where I1 and I2 are the illuminations at distances D1 and D2, respectively. In this case, we are given that the illumination from the lamp at a distance of 1 m is 10 m/m^2 (meters per square meter). Let's assume that the illumination at a distance of 0.5 m is I2.

Using the inverse square law, we can write the equation as:

10 / I2 = (1 / 0.5)^2

Simplifying the equation, we have:

10 / I2 = 4

Cross-multiplying, we get:

I2 = 10 / 4 = 2.5 m/m^2

Therefore, we have proven that the illumination at a point 0.5 m away from the lamp is 2.5 m/m^2, not 40 m/m^2 as stated in the question. It seems there may be an error or inconsistency in the given values.

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Answer:

Well apparently you don't know your Alphabet

Step-by-step explanation:

So it is

A.B.C.D.E.F.G.H.I.J.K.

The correct order is ABCH.

Arrangement according to the normal order of the letters in the alphabet.

Given that a puzzle

The correct order of alphabets to reach the key is ABCH.

Hence, the answer is ABCH.

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The inverse of our given equation- would be y=x+6/2 and options B is the correct choice.

An equation is a mathematical statement that expression the equality of the expression using of the equal sign equation are used to define relationship between differentiation variables can be used to solve for the unknown's values when you problems equation are also used to describe the behavior of the physical system in the represent law of nature.

We have been given an equation y=2x-6 . We are asked to find the inverse of our given equation.

To find inverse of our given equation, we will interchange x and y variables and solve for y as shown below:
x=2y-6
Switch sides:
2y-6=x
Add 6 on both sides:
2y-6+6=x+6
2y=x+6
Divide both sides by 2:
2y/2=x+6/2
y=x+6/2

Therefore, the inverses of our given equation would've be y=x+6/2 and option B is the correct choice.

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We know that 1 meter (m) is equal to 3.280839895 feet (ft), likewise we know that 4000 meter (m) is equal to 13123.35958004 feet (ft)

We know that meters is a bigger quantity

therefore we must first convert 1 meter (m) to feet (ft)

we know that 1 meter (m) is equal to 3.280839895 feet (ft)

therefore now when we know the value of 1 meter is equal to how much feet we can multiply the value of feet by 4000 meter,

that is,

4000m × 3.280839895ft = 13123.3595801ft

when multiplied by the value of 1 meter in feet we get 13123.3595801 feet

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The amount of money that you will have in eight years from today is $29,315.79 (rounded to 2 decimal places).

To find out the amount of money that you will have in eight years, you need to use the future value formula, which is:FV = PV × (1 + r)n

Where, FV = future value

PV = present value (initial investment) r = annual interest rate (as a decimal) n = number of years

First, you need to find the future value of the gift amount of $17,000 in two years.

Since it's a gift and not an investment, we can assume an interest rate of 0%.

Therefore, the future value would simply be:

PV = $17,000r = 0%n = 2 years

FV = $17,000 × (1 + 0%)2FV = $17,000

Now, you will loan that amount at 9.75% interest for six more years.

So, you need to find the future value of $17,000 after 6 years at an annual interest rate of 9.75%.

PV = $17,000

r = 9.75%

n = 6 years

FV = $17,000 × (1 + 9.75%)6

FV = $29,315.79

Therefore, the amount of money that you will have in eight years from today is $29,315.79 (rounded to 2 decimal places).

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Answer:

Step-by-step explanation: option c. m<EDF= 34°

becuz 84°+62°= 146

and sum of a traingle is 180°

and 180-146= 34°

hope it helps....

Answer: x=12

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

5x/6=8+2

5x/6=10

5x=10x6

5x/5=10x6/5

x =12

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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Answer:

6/63

Step-by-step explanation:

To find the probability in fraction form you must first add all the evidence together and then use that number as the denominator

Answer:

2/21

Step-by-step explanation:

There were a total of 7+6+12+19+19=63 spins, 6 of which blue.

So, you can make the fraction 6/63=2/21 to represent the probability of the spinner landing on blue the next spin

Answer:

I think it is B

Step-by-step explanation:

The correct answer is b. Expected value. The mean of a discrete random variable generalizes the concept of expected value. The expected value of a discrete random variable is the weighted average of all possible outcomes, where the weights are the probabilities associated with each outcome.

It represents the long-term average value that we would expect to observe if we repeated the random experiment multiple times.

In the context of a discrete random variable, the mean (or expected value) is calculated by multiplying each possible value of the variable by its corresponding probability and summing them up. It provides a measure of central tendency and represents the average value we would expect to obtain from the random variable over a large number of trials.

The population mean (mean of a variable) refers to the average value of a variable in the entire population, not specifically related to a random variable. The sample mean is the average value of a variable calculated from a sample of observations. The distribution of a discrete random variable refers to the pattern of probabilities associated with each possible outcome of the variable.

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Thus, the scale factor by which he increased his screen size is 3:2

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller). For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.

Given, the pixel of Mike's old calculator = 96 pixel

His new calculator has pixels = 144 pixel

Scale by which it increased = New pixels/Old pixel

= 144p/96p

= 3:2

Thus, the scale factor by which he increased his screen size is 3:2

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