Mathematics High School

A shirt is on sale for $42 if this is 4/5 of the original price of the shirt what was the original price of the shirt

Answers

Answer 1

Answer:

$52.50

Step-by-step explanation:

42=4x/5

210=4x

x=52 50

Related Questions

At which of the given values is the graph discontinuous?
a. 7
b. -2
C. -4
d. 0

Answers

According to the
figure when ×<7. fx<0..

need help with this !!

Answers

the answer is (8,0)

that is the answer

The Answer is to this question is (8,0)

Simplify. 3 1/2+1/8 im not sure what this is

Answers

Answer:

125/8

is the final answer

Step-by-step explanation:

1.transform the expression

2.calculate

3.(final answer)

Answer:

I Believe the answer is either 3 5/8 or 29/8

Step-by-step explanation:

You have to find the most common denominator which for 1/2 and 1/8 is 8 and then you would do 1/2 1*3 and 2*4 to get 4/8 add them together for 5/8 then would would either add 24/8 to equal the 3 or you would leave the three by itself (depends on what your teacher says for simplification)

As for defining simplification it is solving the problem best you can with the information you are given.

What is the inverse of f(x)=2x^2+4x? Please show work.

Answers

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

$\stackrel{f(x)}{y}~~ = ~~2x^2+4x\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~2y^2+4y} \\\\\\ x=2(y^2+2y)\implies \cfrac{x}{2}=y^2+2y\impliedby \begin{array}{llll} \textit{now let's complete the square}\\ \textit{to make it a perfect square trinomial}\\ \textit{by using our good friend, Mr "0"} \end{array} \\\\\\ \cfrac{x}{2}=y^2+2y(+1^2-1^2)\implies \cfrac{x}{2}=y^2+2y+1-1\implies \cfrac{x}{2}=(y^2+2y+1)-1$

$\cfrac{x}{2}+1=(y^2+2y+1^2)\implies \cfrac{x}{2}+1=(y+1)^2\implies \sqrt{\cfrac{x}{2}+1}=y+1 \\\\\\ \sqrt{\cfrac{x+2}{2}}=y+1\implies \sqrt{\cfrac{x+2}{2}}-1=y~~ = ~~f^{-1}(x)$

Make x the subject of the formula x/a 2 + 3 b = 2 c

Answers

Answer: x=-3ab/2+ac

Step-by-step explanation:

Multiply to remove the fraction, then set equal to 0 and solve.

Moolah has 24 coins that are all dimes and quarters. The value of the coins is $3.75. How many dimes and how many quarters does Moolah have?

Answers

By solving a system of equations we will see that she has 9 quarters and 15 dimes.

How many dimes and how many quarters does Moolah have?

Let's define the variables.

d = number of dimes.q = number of quarters.

We know that Moolah has 24 coins, then:

d + q = 24

And the total value is $3.75, then:

q*0.25 + d*0.10 = 3.75

Then we can write the system of equations:

d + q = 24

q*0.25 + d*0.10 = 3.75

We can isolate d on the first equation to get:

d = 24 - q

Replacing that in the other equation we will get:

q*0.25 + (24 - q)*0.10 = 3.75

q*0.15 + 2.4 = 3.75

q*0.15 = 3.75 - 2.4

q*0.15 = 1.35

q = 1.35/0.15 = 9

So Moolah has 9 quarters and 15 dimes.

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on the road between two towns (Bergville and Reddington). The is a sign that shows the distance to each town . The distances given are the nearest kilometres Bergville 12km and Reddington 15km ( a) what are the smallest and largest possible distance between the two towns.
( b ) Two walkers meet at the sign past one sets off towards Bergville and the other to Reddington . what is the possible difference between the distance they walk

Answers

Answer:(a) The smallest possible distance between the two towns would be 12km (the distance to Bergville) + 15km (the distance to Reddington) = 27km. The largest possible distance would be 12km + 15km + 1km (the margin of error for each distance being given to the nearest kilometer) = 28km.

(b) The possible difference in the distance the two walkers walk would be the difference in the distances given on the sign, which is 15km - 12km = 3km. However, this difference would also be affected by the margin of error of 1km for each distance given on the sign, so the possible difference in distance could range from 2km to 4km.

monomial

can someone help me understand this please???

Answers

Answer:

mono means "ONE" so it refers to one term.

2x^2 + 8x factor out the gcf

Answers

Answer:

2x(x + 4)

Step-by-step explanation:

The greatest common factor of 2x^2 and 8x is 2x. So, we can factor out 2x to get:

2x(x + 4)

The definition of a greatest common factor (GCF) is the largest number that is a factor of two or more numbers. In this case, 2x is the GCF of 2x^2 and 8x because it is the largest number that divides both numbers evenly.

Here are the steps on how to factor out the GCF:

Find the GCF of the two numbers. In this case, the GCF is 2x. Write the GCF as a factor of each number. Combine the factors to get the factored expression.

In this case, the factored expression is 2x(x + 4).

The answer is:

⇨ 2x(x + 4)

Work/explanation:

Let's find something that $\sf{2x^2}$ and $\sf{8x}$ have in common.

In other words, we find their GCF (greatest common factor).

The GCF of $\sf{2x^2}$ and $\sf{8x}$ is 2x.

So I factor it out :

$\sf{2x(x+4)}$

Hence, the answer is 2x(x + 4).

Find value of X in the isosceles triangle shown below

Answers

Answer:

$x = \sqrt{13} $

Step-by-step explanation:

$x = \sqrt{ {2}^{2} + {3}^{2} } = \sqrt{4 + 9} = \sqrt{13} $

A customer buys a table on hire purchase. He makes a deposit of $306 and pays 6 monthly instalments of $60 each. The total cost to the customer is

A) $360
B) $366
C) $666
D) $966

Answers

Answer:

c = $666

Step-by-step explanation:

he already paid $306 then pays $60 for 6 months which is $360

so $360 + $306 is $666 which is c

A sales associate at an electronics store earns 9.5% commission on her total yearly sales. Last year, the sales associate earned an income of $11,875. What is the total amount of sales that the associate made last
year?

Answers

The total amount of sales made by the associate last year is $124,000.

What is defined as the percentage?

The term percent means "out of every hundred" or "per hundred."

The term is based on the Latin phrase per centum, which means "by the hundred." So, for every 100 units of something, a single percent represents one of those hundred units, or one percent.To calculate a percentage, divide the fraction of the total by the total but also multiply by 100.

Now, as per the given question;

Let the total sales done by the associate in last year is 'x'.

The commission earned on the total sales is 9.5%

Thus, 9.5% of x can be written as;

= (9.5×x)/100

The total earning from the sales is $11,875.

Thus,

(9.5×x)/100 = 11,875

Simplify the equation to find x.

x = (11,875×100)/9.5

x = 125,000

Therefore, the total sales done by the commissioner in last year was $125,000.

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Rosemary wants to buy a gift for her little brother this month, after she pays her bills. Should she buy a baseball glove for $22.95 or a T-shirt for $13.95? Use mathematics to justify your choice.

Answers

Answer:

T-shirt

Step-by-step explanation:

T-shirt because she has to pay bills.

Hope this helps plz hit the crown ;D

(c) Compute and interpret the mean of the random variable x The mean is activities (Type an integer or a decimal Do not round.) Which of the following interpretations of the mean is correct? O A. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable O B. The observed value of an experiment wil be equal to the mean of the random variable in most experiments O C. As the number of experiments increases, the mean of the observations will approach the mean of the random variable OD. The observed value of an experiment will be less than the mean of the random variable in most experiments (d) Compute the standard deviation of the random variable x The standard deviation is activities (Round to one decimal place as needed )

Answers

The correct answer is : c) As the number of experiments increases, the mean of the observations will approach the mean of the random variable.

Mean of random Variable x :

The expected value of a discrete random variable X, symbolized as E(X), is often called the long-term average or mean (symbolized as μ). This means that if you run the experiment many times over time, you would expect this average. For example, let X = the number of heads you get when you toss 3 fair coins. If we repeat this experiment (tossing 3 fair coins) many times, the expected value of X will be the expected average number of heads per 3 tosses.

Standard Deviation of Random Variable:

A measure of the variance of a random variable distribution that determines how for a value is from its expected value.

The standard deviation of a random variable X is often written as σ or σₓ.

For discrete random variables, the standard deviation is computed by taking the square of the difference between the value of the random variable and the expected value multiplied by the associated probability of the value of the random variable. Calculate the value of a random variable and finally take the square root.

In symbols σ = √ (x - μ)² P(X =x)

The equivalent formula is σ = $\sqrt{E(x^{2}) - [{E(x^2)]}$

The square of the standard deviation equals the variance Var(X) = σ².

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A city's yearly snowfall in inches over the last 5 years is recorded.

What is the mean of the snowfall in the last 5 years and how can it be interpreted?

Responses:

A mean of 25 shows that the data values are relatively close together. It represents that typically the city's snowfall has been about 25 inches yearly the last 5 years.

A mean of 25 shows that the data values are spread out. It represents that the city's snowfall has been exactly 25 inches each year for the last 5 years.

A mean of 27.2 shows that the data values are relatively close together. It represents that typically the city's snowfall has been about 27.2 inches yearly the last 5 years.

A mean of 27.2 shows that the data values are spread out. It represents that the city's snowfall has been exactly 27.2 inches each year for the last 5 years.

Year Snowfall (inches)
2015 25
2016 27
2017 25
2018 29
2019 30

Answers

Answer:

A mean of 27.2 shows that the data values are relatively close together. It represents that typically the city's snowfall has been about 27.2 inches yearly over the last 5 years.

Step-by-step explanation:

The mean, also known as the average, is the sum of all the data values divided by the number of data points. In this case, the mean of 27.2 inches indicates that, on average, the city has experienced a snowfall of approximately 27.2 inches per year over the last 5 years. The fact that the mean is close to the individual values of 25, 27, 25, 29, and 30 inches suggests that the data points are relatively close together and do not deviate significantly from the mean, indicating that the snowfall in the city has been relatively consistent over the past 5 years.

How do I find the variable of a parallelogram

Answers

Depending on what information you have, you can find the base, height, side lengths, diagonals, or angles of a parallelogram.

How can the variables of a parallelogram be found?

In a parallelogram, there are several variables that you could find depending on what information you have. Here are some common variables you might encounter:

Base: The base of a parallelogram is one of its sides. If you know the length of the base and the height (or perpendicular distance) of the parallelogram, you can calculate its area.

Height: The height of a parallelogram is the perpendicular distance between the base and the opposite side. If you know the length of the base and the height, you can calculate its area.

Side lengths: If you know the lengths of two adjacent sides of a parallelogram and the angle between them, you can use the law of cosines to find the length of the other two sides.

Diagonals: The diagonals of a parallelogram are the line segments that connect opposite vertices. If you know the length of the diagonals and the angle between them, you can use the law of cosines to find the length of the sides.

Angles: If you know the measures of two adjacent angles in a parallelogram, you can use the fact that opposite angles are congruent to find the measures of the other two angles.

So, depending on what information you have, you can find the base, height, side lengths, diagonals, or angles of a parallelogram.

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Nat has 2 episodes filmed for her new series. She plans
on filming 6 more episodes per month. Write a linear
equation that could represent this

Answers

2+(6m)

2 being the episode’s she has already created

6m is 6 times any number of months (m)

A forest covers 54,000 acres. A survey finds that 0.7% of the forest is old-growth trees. How many acres of old-growth trees are there?

Answers

378 acres

Total acres*percent old growth=total old growth
54000*0.007=378 acres

(Remember 1%=.01 so 0.7%=0.007)

37800 because it is use a calculator
54000•.7

diego is preparing a spreadsheet with his net worth. he accidentally deleted the value associated with his student loan. use the information in the table to determine how much diego has in his students loan

Answers

Answer:

are the best

Step-by-step explanation:

Answer:

Study hard

Step-by-step explanation:

step 1 : write

step 2 : knowledge

step 3: remember

and last but not least

STEP 4 : BE SMART

1.

Write the slope-intercept form of the equation for the line.

A. y = $\frac{1}{2}$x - 1

B. y = – 2x – 1

C. y = 2x – 1

D. y = $\frac{1}{2}$x + 1

$1.Write the slope-intercept form of the equation for the line.A. y = [tex]\frac{1}{2}[/tex]x - 1B. y$

Answers

Answer: Here is the answers after I graphed it

1: The equation of the line that has a slope of 1 and a y-intercept of -1 is:

y=1x-1.

...............................................................................................................................................

2: The equation of the line that has a slope of 1 and a y-intercept of -3 is:

y=1x-3.

Step-by-step explanation: I graphed it

1: You want to find the equation for a line that has a slope of 1 and a y-intercept of -1.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

All you really have to do here is

replace m with 1, which is the slope you gave, and

replace b with -1, the y-intercept you gave,

in the equation y=mx+b.

The equation of the line that has a slope of 1 and a y-intercept of -1 is:

y=1x-1.

...............................................................................................................................................

2: You want to find the equation for a line that has a slope of 1 and a y-intercept of -3.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

All you really have to do here is

replace m with 1, which is the slope you gave, and

replace b with -3, the y-intercept you gave,

in the equation y=mx+b.

The equation of the line that has a slope of 1 and a y-intercept of -3 is:

y=1x-3.

identify the set of ordered pairs that represent y as a function of x? PLZZZ HELP

A. (-1,0) (1,0) (3,0) (3,4)
B. (1,0) (2,0) (3,3) (3,4)
C. (0,0) (1,1) (2,3) (3,3)
D. (0,0) (0,1) (2,3) (3,4)

Answers

It will be D because your going up

(refer to figure 26, area 2.) the visibility and cloud clearance requirements to operate vfr during daylight hours over the town of cooperstown between 1,200 feet agl and 10,000 feet msl are

Answers

The visibility requirement is 3 statute miles, and cloud clearance requires maintaining 500 feet below, 1,000 feet above, and 2,000 feet horizontally from clouds during VFR daylight operations over Coopers Town.

Determine how to find the visibility and cloud clearance requirements to operate VFR?

The visibility and cloud clearance requirements to operate VFR during daylight hours over the town of Coopers Town between 1,200 feet AGL and 10,000 feet MSL are as follows:

1. Visibility: The minimum visibility required is 3 statute miles.

2. Cloud clearance: Maintain a distance of at least 500 feet below, 1,000 feet above, and 2,000 feet horizontally from clouds.

According to VFR regulations, pilots flying during daylight hours must adhere to certain visibility and cloud clearance requirements for safety. The visibility requirement of 3 statute miles means that the pilot must have a clear horizontal view of at least 3 miles ahead.

This ensures sufficient visual reference to navigate and avoid other aircraft or obstacles.

Regarding cloud clearance, pilots must maintain a safe distance from clouds to ensure visibility and separation from potential hazards. The requirement is to remain at least 500 feet below clouds to avoid inadvertently entering them.

Additionally, pilots must maintain a minimum of 1,000 feet above clouds to prevent the risk of collision or reduced visibility due to cloud turbulence. Lastly, a horizontal separation of 2,000 feet from clouds helps ensure adequate maneuvering space and visual reference in relation to cloud formations.

These visibility and cloud clearance requirements help maintain safety and situational awareness for VFR operations during daylight hours over Coopers Town.

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Rich is attending a 4-year college. As a freshman, he was approved for a 10-year, federal unsubsidized student loan in the amount of $7,900 at 4.29%. He knows he
has the option of beginning repayment of the loan in 4.5 years. He also knows that during this non-payment time, interest will accrue at 4.29%.
If Rich decides to make no payments during the 4.5 years, the interest will be capitalized at the end of that period.

a. What will the new principal be when he begins making loan payments?

b. How much interest will he pay over the life of the loan?

Answers

a) The new principal (principal + capitalized interest) when Rich begins making loan payments will be $9,425.10.

b) The total interest that Rich will pay over the life of the loan is $4,914.20.

How is interest on student loans determined?

The interest on student loans is based on simple interest.

The only interest capitalized is the interest during the non-payment period if the student does not pay the interest.

Some students elect to pay the interest during the non-payment period to reduce the capitalized interest and principal during the payment period.

Capitalization refers to the addition of interest to the principal amount.

Period of student loan = 10 years

The amount of the federal unsubsidized student loan = $7,900

Interest rate = 4.29%

Capitalized interest during the non-payment time = $1,525.10 ($7,900 x 4.29% x 4.5)

New principal when Rich begins making loan payments = $9,425.10 ($7,900 + $1,525.10)

Total interest for loan = $4,914.20 ($7,900 x 4.29% x 14.5)

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Find the exact values for a, b, and y (enter y as a reduced fraction

$Find the exact values for a, b, and y (enter y as a reduced fraction$

Answers

Answer:

10 1/8

Step-by-step explanation:

through similar triangles

8 : 9

9 : y

y = 9 * 9/8 = 81/8

reduced : 10 1/8

is anyone expert here in data forecasting methods? I need some help in some topics like time series(holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series. please reply if you can help me with these topics

Answers

Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.

Below are brief explanations of each of these terms:

Time Series: A time series is a sequence of observations of a particular quantity measured over time. Holts Method: The Holt’s method is a forecasting method that forecasts the data by taking into account the trend component along with the level component. Holts Winter Method: Holt's winter model is used to forecast seasonal univariate time series.Naive Method: The naive method is a forecasting method that uses the most recent observation as a forecast for the next time period.Regression: Regression is a statistical method used to estimate the strength and direction of the relationship between two or more variables.ACF & PACF: Autocorrelation function (ACF) and partial autocorrelation function (PACF) are statistical tools used to determine the nature of the correlation between a variable and its lag.ARIMA: ARIMA stands for AutoRegressive Integrated Moving Average. ARIMA is a forecasting technique that uses past data points to predict future values.STL Method: STL is a time series decomposition method that separates a time series into three components: trend, seasonality, and random.Multivariate Time Series: Multivariate time series analysis deals with the analysis of time series data that involves more than one variable.Based on the topics you've mentioned, you may want to ask specific questions regarding these topics to get more detailed answers.

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3x - 7 = 3x + 9; x =

Please can someone help me and show me the answers step by steps

Answers

Answer:

i think probably x∉∅

Step-by-step explanation:

3x-7 = 3x+9

-7 = 9

so x∉∅

Answer:

0 = 16 or No Solution

Step-by-step explanation:

1) Add 7 to both sides of the equation

3x - 7 + 7 = 3x + 9 + 7

2) Simplify

A. Add the numbers

3x = 3x + 9 + 7

B. Add the numbers

3x = 3x + 16

3) Subtract 3x from both sides of the equation

3x - 3x = 3x + 16 - 3x

4) Simplify

A. Combine like terms

0 = 3x + 16 - 3x

B. Combine like terms

0 = 16

any one is good at math can help :(

Answers

Answer:
1. 1/50, or 1 megabyte per 50 seconds
2. -5/2, or -5 dollars per 2 months

Explanation:
To find slope, we can use the slope formula:
m = (y2 - y1)/(x2 - x1)

M represents the slope, (x1, y1) represent the coordinates of a point on the line, and (x2, y2) represent the coordinates of another point on the line. The points you pick don’t matter as long as they’re different.

For the first graph, I’ll pick (150, 3) and (100, 2).
m = (2 - 3)/(100 - 150)
m = -1/-50
m = 1/50

From the x and y axis, I can determine the units: megabytes per seconds. The answer becomes 1 megabyte per 50 seconds.

The second graph will have the same process. Since the line is pointing downward, I already know that the slope will be negative. I can plug the pre-chosen points, (10, 5) and (4, 20), into the slope formula.
m = (20 - 5)/(4 - 10)
m = 15/-6 or -5/2

The answer becomes -5 dollars per 2 months.

I hope this was helpful!

Please help me out, thanks.