Tony is solving the equation 4x = 12x + 20 for x. Tony uses the multiplicative property of equality to rewrite the equation as x = 3x + 20. Which statement correctly explains whether
A Tony used the property correctly? Tony used the property correctly because he multiplied one term on each side of the equals sign by 1/4
B Tony did not use the property correctly because he should have multiplied both sides of the equals sign by 1/12 not 1/4
C Tony did not use the property correctly because he did not multiply every term on both sides of the equals sign by 1/4
D Tony used the property correctly because he multiplied every term containing x by 1/4​

Median is the middle value.

Writing the values from smallest to largest you have :

1/8, 1/8, 2/8, 2/8, 2/8, 3,8, 3/8, 4/8, 5/8

There are 9 values. The middle value ( median) would be the 5th number ( this would give you 4 numbers below it and 4 numbers above it.

The Median is 2/8

Answer:

2/8 is the median. In decimal, it is 0.25.

Happy learning!

--Applepi101

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

Answer:

y <= x+2

Step-by-step explanation:

Finding the curve equation,

the slope is 1 and the y-intercept is 2. Hence,

y = x + 2

Since the thing is under the graph,

y < x + 2

Since it is a solid line,

y <= x + 2

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Answer: 33.33

Step-by-step explanation:

Solution: 33 1/3 as a decimal is 33.33.

The value of result after executing the statement is 30.

To evaluate the expression and find the value of result, let's break down the operations step by step, following the order of operations (PEMDAS/BODMAS):

Inside the parentheses, we have:

3 × 5 = 15

Next, the expression becomes:

15 × 24 / (15 - (7 - 4))

Inside the inner parentheses:

7 - 4 = 3

Now, the expression becomes:

15 × 24 / (15 - 3)

Inside the parentheses:

15 - 3 = 12

The expression simplifies to:

15 × 24 / 12

Multiplication:

15 × 24 = 360

Division:

360 / 12 = 30

Therefore, the value of result after executing the statement is 30.

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The mathematical expression 'result = (3 * 5) * 24 / (15 - (7 - 4))' simplifies to 'result = 15 * 24 / 12', leading to a final value of 30.

The task here is to understand and solve the provided mathematical expression, which is result = (3 * 5) 24 / (15 - (7 - 4)). However, this expression seems to contain a typo - there's an operation missing between (3 * 5) and 24. Let's assume that the operation is multiplication, turning the expression into result = (3 * 5) * 24 / (15 - (7 - 4)).

Then, performing the multiplication and division in order from left to right gives the result as 30.

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Answer:

( 11 , 3 )

Step-by-step explanation:

going right means a positive change to the x value, and going down is a negative change to the y value.

The length of BC is approximately 3.5 cm

A triangle is described as a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

We construct triangle ABC, through the following steps:

The law of sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.

Mathematically shown as:

a/sin(A) = b/sin(B) = c/sin(C)

5/sin(95) = BC/sin(34)

BC = (5*sin(34))/sin(95)

BC ≈ 3.5cm

In conclusion, the length of BC is approximately 3.5 cm.

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Given:

The fraction of treaters dressed up us halloween, x=2/15.

Let the total trickers be taken as 1.

Now, the proportion of treakers that were not dressed up as spiderman is,

Answer:

17 in.

Step-by-step explanation:

Some of the pizza will be ate multiply by 4 to get 17

In the first round, 4 teams out of 8 compete, which means 32 children take part (4 teams x 8 children per team = 32).

In the second round, 2 teams out of the 4 winning teams compete, which means 16 children take part (2 teams x 8 children per team = 16). Therefore, the fraction of children that take part in the second round is 16/64, which simplifies to 1/4.

In the athletics competition, there are 64 children divided into 8 equal teams. In the first round, 4 teams compete against 4 teams, leaving 4 winning teams. In the second round, 2 teams compete against 2 teams, which involves half of the original 8 teams. Since each team has 8 children (64 children / 8 teams), there are 32 children (8 children/team x 4 teams) participating in the second round.

To find the fraction of children taking part in the second round, divide the number of children in the second round by the total number of children: 32/64, which simplifies to 1/2. So, 1/2 of the children take part in the second round.

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Answer:

x=-5

Step-by-step explanation:

I used my ti-84 plus ce calculator to calculate this

>math

>numerical solver

>type equation

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>you answer appears

The volume first increases and then decreases as the length of the side of the square cut from each corner increases.

The volume of such a box is V= lxbxh V (80-2x)(50-2X) (X) Vat 4000x-260x2 + 4x3 = objective 50-2x 80-2XX function r(x) = 4000 (1) -260(27) + U(3x2) v(x)=4000-5207 + 1222 Vlx) = 4 [ 1000-1302 + 3x2) for the critical point V'ou = 0

50-2x=50-2(1) = -50 3. This is a negative number, but the width cannot be negative.

V"(x) = 0-520(1) +12 (2x) = 24x-520

Henu

V" (10) = 24(10)- 520 = - 280 Co X=10cm will augment volume.

V = (80-20), (50-20), (10) = 60x30x10 V = 18000 cubic centimeters is the maximum volume.

domain 50-270 twice 50 2250 times 25 domain jE

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The 95% confidence interval for the mean sodium content of the "reduced sodium" hot dogs is calculated to be (297.70 mg, 322.30 mg).

To find the 95% confidence interval, we use the formula:
Confidence Interval = (sample mean) ± (critical value) * (standard deviation / √sample size)
Given that the sample mean sodium content is 310 mg, the standard deviation is 36 mg, and the sample size is 40, we need to determine the critical value for a 95% confidence level.The critical value corresponds to the level of confidence and the degrees of freedom, which is the sample size minus 1. Looking up the critical value for a 95% confidence level and 39 degrees of freedom in the t-distribution table, we find it to be approximately 2.024.
Plugging in the values into the formula, we get:
Confidence Interval = 310 mg ± (2.024) * (36 mg / √40)
Simplifying the expression, we find:
Confidence Interval ≈ (297.70 mg, 322.30 mg)Therefore, we can say with 95% confidence that the mean sodium content of this brand of "reduced sodium" hot dogs falls within the range of 297.70 mg to 322.30 mg.

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Answer: (3x-5)(x+3)(x-3)

Step-by-step explanation:

Answer:

90,000

Step-by-step explanation:

As per the given scatter plot, for the cost of $180, the number of gallons of water used is 90,000.

The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis.

Here,
According to the question, the maximum limit shown on the scatterplot is $180 for 90 units on the scatterplot,
Where horizontal units are represented as the scale of 1 unit = 1000 units.
So for the maximum.
For the cost of $180 the gallons of water used is 90×1000.

Thus, as per the given scatter plot, for the cost of $180, the number of gallons of water used is 90,000.

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We are given the function

we are to use remainders theorem to find p(3)

Therefore

Given p(3) then x = 3

Hence

Hence, p(3) = - 11

Therefore, the Remainder is - 11

Finding the quotient

Given

Therefore to find the quotient we will use long division method

This gives

Therefore, The quotient is

From the solution above

P(3) = - 11

how do i find a functions formula when dealing with word problems?​

I will be depend on the situation given in the problem

For example :

if the wage is 50

The person can buy a total of 36 distinct systems from three models of the basic unit, three models of keyboard, and four models of printer.

Given, a person buying a personal computer system is offered a choice of three models of the basic unit, three models of keyboard, and four models of printer.

we have to find the number of distinct systems that can be purchased.

Using the concept of Permutations and Combinations, we get

Choose One model of basic unit from three models, Choose one model of keyboard from three models of keyboards and also choose one model of printer from four models of printers.

C(3 , 1)×C(3 , 1)×C(4 , 1)

= 3×3×4

= 36

So, the total of 36 systems can be purchased.

Hence, the total of 36 systems can be purchased.

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Answer:

  x = log(33)/(3·log(2))

Step-by-step explanation:

The relevant logarithm relation is ...

  log(a^b) = b·log(a)

__

Taking the logarithm of both sides of your equation gives ...

  2^(3x) = 33

  log(2^(3x)) = log(33)

  (3x)·log(2) = log(33)

The coefficient of x is 3·log(2). Dividing by that gives the value of x:

  x = log(33)/(3·log(2))

  x ≈ 1.51851/(3·0.301030) ≈ 1.6814647

The correct explicit formula is f(1) = 6; f(n) = 6 + d(n − 1), n > 0

The arithmetic sequence explicit formula can be easily computed from the term of the sequence.

For the arithmetic sequence a, a + d, a + 2d, a + 3d, ........a + (n - 1)d, and the nth term of the sequence forms the explicit formula. Hence the explicit formula for the arithmetic sequence is an = a + (n - 1)d.

Given:

The first layer has 6 squares.

The second layer has 12 squares.

The sequence can be

6, 12, ...

then f(1)= 6

So, for n square we can write

f(n) =  6 + d(n − 1)

Hence, the explicit formula is  f(n) = 6 + d(n − 1),

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The average increase in spending per year from the year 2000 to the year 2006 for back-to-school shopping of supplies is 20.83 dollars.

The average increase in spending per year from the year 2000 to the year 2006 can be calculated by subtracting the spending in the year 2000 from the spending in the year 2006 and dividing the result by the number of years between 2000 and 2006.

In mathematical terms:

Average increase in spending = (Spending in 2006 - Spending in 2000) / (2006 - 2000)

Plugging in the values from the chart:

Average increase in spending = (238 dollars - 113 dollars) / (2006 - 2000)

Average increase in spending = 125 dollars / 6

Average increase in spending = 20.83 dollars

Therefore, from the year 2000 to the year 2006, there is an average annual rise in spending of 20.83 dollars.

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500 grams is approximately equal to 1.1023 pounds  ( rounded to four decimal places )

The conversion factor to convert grams to pounds is 0.00220462

1 gram = 0.00220462 pounds

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in pounds = The mass in grams × conversion factor

Substitute the values in the equation

1 gram = 0.00220462 pounds

500 grams =  500 × 0.00220462

Multiply the numbers

= 1.1023 pounds  ( rounded to four decimal places )

Therefore, 250 grams is 0.5511 pounds

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so hmmm say A(-10 , 5) , B(8 , 2) and the point that partitions them is point C.

\(\textit{internal division of a line segment using ratios} \\\\\\ A(-10,5)\qquad B(8,2)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:2} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{2}\implies \cfrac{A}{B} = \cfrac{1}{2}\implies 2A=1B\implies 2(-10,5)=1(8,2)\)

\((\stackrel{x}{-20}~~,~~ \stackrel{y}{10})=(\stackrel{x}{8}~~,~~ \stackrel{y}{2}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-20 +8}}{1+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{10 +2}}{1+2} \right)} \\\\\\ C=\left( \cfrac{ -12 }{ 3 }~~,~~\cfrac{ 12}{ 3 } \right)\implies \boxed{C=(-4~~,~~4)}\)

Answer:

102in2

Step-by-step explanation:

The formula for surface area is 2(wl+hl+hw). So plug in the measurements of the prism into the formula to get 102.

Answer: y = 8

Step-by-step explanation:

      Point-slope form is written as y - \(y_1\) = m(x - \(x_1\)) where m is the slope and (\(x_1\) , \(y_1\)) are points on the line.

      First, we need to find the slope. This can be found with change in y over change in x:

\(\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

\(\displaystyle \frac{8-8}{-4--4}=\frac{0}{-4+4}=\frac{0}{0}=\) undefined

      Now, we will plug this undefined slope (0) into the equation below. Anything times 0 is 0, so no matter what (x - \(x_1\)) is, the right side of the equation will always be 0.

y - \(y_1\) = m(x - \(x_1\))

y - \(y_1\) = (0)(x - \(x_1\)) ➜ y - \(y_1\) = 0

      Lastly, we will take the y-value of 8 and plug it into the equation and simplify.

y - \(y_1\) = 0 ➜ y - (8) = 0 ➜ + 8 (y - 8) = (0) + 8

      y = 8

See attached for a visual explanation.

On solving the provided question, we can say that  10% condition is met,

There are two separate random samples available.

selected at random (purely random, unpredictable). Every member of the population being polled ought to have an equal probability of getting chosen. She randomly selected 25 names from a pool of 250 employees as an example of a simple random sample. Since there are 250 of her employees in total, and each one has an equal probability of being chosen, the sample in this instance is random. Using simple random sampling, which is a form of probability sampling, researchers choose individuals at random from a population. There is an equal opportunity for selection for every person in the population.

There are two separate random samples available.

The 10% requirement is satisfied.

For both samples, 24, 26, 29, and 31 triumphs and failures are anticipated.

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Jacob will therefore purchase the tickets. 480 pesos

What is a peso?

Several nations in the Americas, including the Philippines, use the peso as their currency. The word peso, which has its roots in the Spanish Empire, means "weight." The peso uses the same symbol, "$," as many other currencies with the name "dollar" in the majority of the Americas. In the Philippines, the symbol "" is employed.

From the 16th through the 19th centuries, the eight reals silver peso, often known as the Spanish dollar or "piece of eight," was a common international trade coin.

One ticket for an adult costs 120 pesos.

4 adults in Jacob's family cost 120 pesos each, or 480 pesos total.

Which nation's currency is the peso?

Mexico's currency is the peso. currency code of it is MXN, and it has the currency sign ($). The peso is frequently written as M$, MX$, or MEX$ to distinguish it from other currencies that use the $ symbol. The previous symbol, MXP, has been replaced with MXN.

The cost of one adult ticket is 120 pesos.

Jacob’s family have 4 adults

=120pesos×4adults

= 480pesos

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Based on the given temperature data, the forecasted high temperature for today using a three-day moving average is 93°F, and using a two-day moving average is 89°F. The mean absolute deviation for the two-day moving average is 1°F, and the mean squared error is 1. The mean absolute percent error for the two-day moving average is approximately 1.13%.

These metrics provide a way to assess the accuracy of the temperature forecasts and the variability of the actual temperatures from the moving averages.

a) To forecast the high temperature today using a three-day moving average, we take the average of the temperatures from the last three days. So, (95 + 96 + 88) / 3 = 93°F.

b) To forecast the high temperature today using a two-day moving average, we take the average of the temperatures from the last two days. So, (88 + 90) / 2 = 89°F.

c) The mean absolute deviation (MAD) based on a two-day moving average is calculated by finding the absolute difference between each temperature and the two-day moving average, summing up those differences, and then dividing by the number of observations.

The two-day moving average is 89°F. The deviations from the moving average are: |88 - 89| = 1 and |90 - 89| = 1. The sum of these deviations is 1 + 1 = 2. Since we have two observations, the MAD is 2 / 2 = 1°F.

d) The mean squared error (MSE) for the two-day moving average is calculated by squaring the differences between each temperature and the two-day moving average, summing up those squared differences, and then dividing by the number of observations.

The differences are: (88 - 89)^2 = 1 and (90 - 89)^2 = 1. The sum of squared differences is 1 + 1 = 2. Since we have two observations, the MSE is 2 / 2 = 1.

e) The mean absolute percent error (MAPE) for the two-day moving average is calculated by finding the absolute difference between each temperature and the two-day moving average, dividing that difference by the actual temperature, summing up those absolute differences, and then dividing by the number of observations.

The two-day moving average is 89°F. The absolute percent differences are: |88 - 89| / 88 = 0.0114 and |90 - 89| / 90 = 0.0111. The sum of these absolute differences is 0.0114 + 0.0111 ≈ 0.0225. Since we have two observations, the MAPE is 0.0225 / 2 ≈ 0.0113 or 1.13%.

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The probable question may be:

A Canadian tourist travelling to Miami learned that the local temperatures in Fahrenheit for the last week were as follows: 93, 94, 93, 95, 96, 88, 90 (yesterday).

a) Forecast the high temperately today, using a three-day moving average.

b) Forecast the high temperature today, using a two-day moving average.

c) Calculate the mean absolute deviation based on a two-day moving average.

d) Compute the mean squared error for the two-day moving average.

e) Calculate the mean absolute percent error for the two-day moving average.