3. John drives to work and due to traffic, he averages 22 mph. His return trip home has a higher average of
32 mph. The total travel time is 2.25 hours. Write and solve an equation to find how long it takes John to
drive to work.

Answer:

Exact Form  x = -8/3

Mixed Number Form : -2 2/3

Hope this help <3

Answer:

\(x = - \frac{8}{3} \)

Step-by-step explanation:

3x = -8

3x ÷ 3 = -8 ÷ 3

x = -8 ÷ 3

x = -8/3

Answer:4/5

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

7x(92+7) = 693

(7x92) = 644

(7x92) +

(7x7) = 49

644 + 49 = 693

Answer:

x - 5y = - 10

Step-by-step explanation:

y = mx + b (b is y-intercept)

m = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

~~~~~~~~~~~~

x + 4y = 8 ⇔ y = \(-\frac{1}{4}\) x + 2 ⇒ y-intercept is 2 and coordinates of y-intercept are (0, 2)

(5, 3)

m = \(\frac{3-2}{5-0}\) = \(\frac{1}{5}\)

y = \(\frac{1}{5}\) x + 2 (slope-intercept form)

x - 5y = - 10 (standard form)

Answer: (C)

Step-by-step explanation:

Looking at the diagram the area occurring continuously over a period of time is the constant point which ranges from -4 to -2 making the answer C

Answer:

Answer: (C)

Explanaton:

By definition: A function is constant, if for any x1 and x2 in the interval, f (x1) = f (x2). Example: The graph shown above is constant from the point (-2,1) to the point (1,1), described as constant when -2 < x < 1. The y-values of all points in this interval are "one".

Check for the image below

Mark it brainliest please!!!!

Answer:

95k

Step-by-step explanation:

Given :

15 words or less = 50k

Every word above 15 = additional 3k

The cost of 30 words :

First 15 words = 50 k

Number of additional words = (30 - 15) = 15 words

Cost of every additional word = 3 k

Cost of 15 additional word = 15 * 3 = 45k

Total cost of 30 words :

50k + 45k = 95k

Answer:

3 stamps

Step-by-step explanation: 42 stamps in equal groups would be 6 stickers/group.

6+3 = 9 stickers in each pile

there was 7 piles so multiply 7 by the 9 stickers in each pile

7· 9 = 63  

5 · 12 = 60, so she gave her friends 60 stickers

63-60 = 3  

The value of x and the sum of all the terms in an arithmetic progression (A.P.) with 25 terms, given the last three terms as 1/(x-4), 1/(x-1), and 1/x.

Let's assume the first term of the arithmetic progression is 'a' and the common difference is 'd'. The formula for the nth term of an A.P. is given by tn = a + (n-1)d.

Given that the 25th term is 1/(x-4), we can write:

a + (25-1)d = 1/(x-4)

Similarly, using the 24th and 23rd terms, we have:

a + (24-1)d = 1/(x-1)

a + (23-1)d = 1/x

We now have a system of three equations with three variables (a, d, and x). By solving these equations simultaneously, we can find the values of a, d, and x.

Once we find the values of a, d, and x, we can calculate the sum of the arithmetic progression using the formula Sn = (n/2)(2a + (n-1)d), where Sn is the sum of the first n terms.

By substituting the values of a, d, and n = 25 into the sum formula, we can determine the sum of all the terms in the progression.

Note: Since the exact values of a and d are not provided in the question, we cannot provide a specific numerical answer without additional information.

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The population of brazil is 5 times more than the population of Argentina

What is population?

The term "population" usually refers to the total number of people living in a particular area, such as a city or town, region, nation, continent, or the entire world. Governments frequently use censuses, a procedure for gathering, analysing, compiling, as well as publishing data regarding a population, to determine the size of a resident population inside their jurisdiction.

We are given that the population of argentine is \(4\)×\(10^7\)

And the population of brazil is \(2\)×\(10^8\)

Now we are asked to find How many times larger is the population of Brazil than the population of Argentina

Now Population of brazil can also be written as \(20\)×\(10^7\)

Now we take the ratio of population of brazil and population of argentine

We get,

\(\frac{20}{4}\)×\(\frac{10^7}{10^7}\)

=5

Hence, population of Brazil is 5 times larger than the population of Argentina

Hence the correct option is option c) 5
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Answer:

g(13) = 2.75

g(-1)  =  4

g(3)  =  2.75

Step-by-step explanation:

See attached worksheet.

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

Answer:

Step-by-step explanation:

4b - 16b + 12 = 48

-12b + 12 = 48

-12b = 36

b = -3

Greetings from Brasil...

Let M be the age of Mario and L the age of Luigi. According to the statement we can elaborate the following equations:

M = L + 12

(M + 6) + (L + 6) = 32

As M = L + 12, we will substitute in the second equation

(M + 6) + (L + 6) = 32

((L + 12) + 6) + (L + 6) = 32

2L + 24 = 32

2L = 32 - 24

2L = 8

L = 8/2

for M:

M = L + 12

M = 4 + 12

After answering the given query, we can state that  where w is the graphs amount of service weeks and c is the cost in dollars. Solution: c = 7w plus 35

Mathematicians use graphs to visually depict or chart facts or values in a logical way. Usually, a graph point will show the connection between two or more objects. A graph is a non-linear data structure made up of nodes, also known as vertices, and lines. The nodes, also referred to as edges, should be joined with glue. Vertices in this graph are 1, 2, 3, and 5, while edges are 1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Graphical representations of exponential development in statistical charts, such as bar charts, pie charts, and line graphs. a triangle-shaped exponential graph.

Y = mx + b, where y is the expense (in dollars), x is the number of weeks, m is the slope, and b is the y-intercept, can be used as the slope-intercept form of a linear equation.

As we can see from the histogram, when w = 1, the price is $35, so the y-intercept is set to b = 35. Additionally, we can see that the price rises by $7 for each extra week of service, resulting in a slope of m = 7.

Consequently, the following equation depicts the price of the food delivery service:

c = 7w + 35

where w is the amount of service weeks and c is the cost in dollars.

Solution: c = 7w plus 35

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the answer is,

\(13 - 10x\)

The formula for the slant height (l) of a right rectangular pyramid, given the base length (q) and surface area (S), is l = √((S - q^2) / 2a).

To derive the formula for the slant height (l) of a right rectangular pyramid, we start with the given formula for the surface area (S) of the pyramid, which is S = q^2 + 2al. Our goal is to isolate the variable l on one side of the equation.

Rearranging the equation, we get 2al = S - q^2. Now, we divide both sides of the equation by 2a to isolate l, yielding 2al / 2a = (S - q^2) / 2a. Simplifying further, we have l = (S - q^2) / (2a).

Therefore, the formula for the slant height (l) of a right rectangular pyramid, given the base length (q) and surface area (S), is l = √((S - q^2) / 2a). This formula allows us to calculate the slant height of a pyramid when the base length and surface area are known.

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start by writing a relation between the price and the percentages

Solve the relation to find the percentage corresponding to $896

if x=80% means that the percent decrease is the difference between the percentages

the percent decrease was 20%

Answer:

1/4p - 1

Step-by-step explanation:

Hope that helps! :)

-Aphrodite

Answer:

divide both sides by 8.

x=-3

That means , Seth gain loss of  $261 on his selling stocks.

Last month, Seth made money by selling stocks. His investment income was $401 This month, Seth's investment income is −$261 What does this mean?

Profit(P)

The amount gained by selling a product for more than its cost price.

Loss(L)

The amount the seller incurs after selling the product less than its cost price is mentioned as a loss.

Cost Price (CP)

The amount paid for a product or commodity to purchase is called a cost price. Also, denoted as CP. This cost price is further classified into two different categories:

Fixed Cost: The fixed cost is constant, it doesn’t vary under any circumstances

Variable Cost: It could vary depending on the number of units and other factors

Selling Price (SP)

The amount for which the product is sold is called the Selling Price. It is usually denoted as SP. Also, sometimes called a sale price.

Marked Price Formula (MP)

This is basically labelled by shopkeepers to offer a discount to the customers in such a way that,

Discount = Marked Price – Selling Price

And Discount Percentage = (Discount/Marked price) x 100

Profit and Loss Formulas

Now let us find the profit formula and loss formula.

The profit or gain is equal to the selling price minus the cost price.

Loss is equal to the cost price minus the selling price.

Profit or Gain = Selling price – Cost Price

Loss = Cost Price – Selling Price

The formula for the profit and loss percentage is:

Profit percentage (P%) = (Profit /Cost Price) x 100

Loss percentage (L%) = (Loss / Cost price) x 100

Last month

Seth made money by selling stocks.

His investment income was $401

That means , Seth gain profit of $401 on his selling stocks.

This month

Seth's investment income is −$261

That means , Seth gain loss of  $261 on his selling stocks.

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Answer:

Wrong values are plotted in the question statement graph.

Please find correct graph.

Step-by-step explanation:

Given that:

\(y =x+3\) and \(-1<x<5\)

i.e. we can put a value of x in the equation which is greater than -1 and lesser than 5.

OR

we can say, the points where x = -1 and x = 5 will not be included in the graph (they will be shown as hollow circle).

Now, let us put the values one by one:

x = -1, y = -1 + 3 =2

x = 0, y = 0 + 3 = 3

x = 1, y = 1 + 3 = 4

x = 2, y = 2 + 3 = 5

x = 3, y = 3 + 3 = 6

x = 4, y = 4 + 3 = 7

x = 5, y = 5 + 3 = 8

Therefore, the table of values become:

\(\begin{center}\begin{tabular}{ c c } x & y\\ -1 & 2\\ 0 & 3 \\ 1 & 4 \\ 2 & 5 \\ 3 & 6 \\ 4 & 7 \\5 & 8\\\end{tabular}\end{center}\)

Points (-1, 2) and (5, 8) will not be included in the graph.

Please find attached corrected graph.

Answer:

I can not see the full question

Step-by-step explanation:

Answer:

12/20 is 3/5, 42/66= 7/11, 7/56=1/8, 30/45=2/3, 9a/50a= i dont know because you are not able to divide 9/2 and is able to divide 50/2, 125/625= 1/5

Step-by-step explanation:

divide the numerator and the denominator buy the same number to get the answer i got 12/20 to 3/5 because 12/4= 3 and 20/4=5.

To estimate the regression in the given model Yi = B0 + B1Xi + B2Ziui, where the variance of Ui is Σi^2 = Σ(zi^2), you can use the method of weighted least squares (WLS). The weights for each observation can be determined by the inverse of the variance of Ui, that is, wi = 1/zi^2.

In the given model, Yi = B0 + B1Xi + B2Ziui, the error term Ui is assumed to have a constant variance, given by Σi^2 = Σ(zi^2), where zi represents the individual values of Z.

To estimate the regression coefficients B0, B1, and B2, you can use the weighted least squares (WLS) method. WLS is an extension of the ordinary least squares (OLS) method that accounts for heteroscedasticity in the error term.

In WLS, you assign weights to each observation based on the inverse of its variance. In this case, the weight for each observation i would be wi = 1/zi^2, where zi^2 represents the variance of Ui for that particular observation.

By assigning higher weights to observations with smaller variance, WLS gives more importance to those observations that are more precise and have smaller errors. This weighting scheme helps in obtaining more efficient and unbiased estimates of the regression coefficients.

Once you have calculated the weights for each observation, you can use the WLS method to estimate the regression coefficients B0, B1, and B2 by minimizing the weighted sum of squared residuals. This involves finding the values of B0, B1, and B2 that minimize the expression Σ[wi * (Yi - B0 - B1Xi - B2Ziui)^2].

By using the weights derived from the inverse of the variance of Ui, WLS allows you to estimate the regression in the presence of heteroscedasticity, leading to more accurate and robust results.

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Answer:

7(9 + 14)

Step-by-step explanation:

The Greatest Common Factor of 35 and 63 is 7; both 35 and 63 are evenly divided by 7.  Thus, 35 + 63 can be rewritten as 7(5) + 7(9), or 7(14)

So 35 + 63 = 7(9 + 14)

Answer:

= 98

Step-by-step explanation:

===========================================================

Explanation:

Hakim and Aziz have savings in the ratio 3:5. This means that Hakim has 3x dollars while Aziz has 5x dollars. The x is some positive real number.

We're then told that Hakim saved another $82, which means it goes from 3x to 3x+82

At the same time, Aziz spent $110 which means the 5x decreases to 5x-110

At this point, the two people have the same amount of money. Set the expressions we found equal to one another and solve for x.

3x+82 = 5x-110

3x-5x = -110-82

-2x = -192

x = -192/(-2)

x = 96

Then use this x value to compute each expression like so

Both have $370 after Hakim saved that additional $82 and after Aziz spent that $110.

------------------

Extra info:

If we rewind things a bit, Hakim would have 3*x = 3*96 = 288 dollars while Aziz would have 5x = 5*96 = 480 dollars. This is before any additional saving or spending.

Then note how the ratio 288:480 fully reduces to 3:5 after dividing both parts by the GCF 96.

Answer:

The interval estimate is:

41.5 - 2.45 ≤ true average time ≤ 41.5 + 2.45

or

38.05 ≤ true average time ≤ 44.95

Inequality notation:

[38.05, 44.95]

The interval estimate that will estimate the true average time that people spend brushing their teeth is [39.05, 43.95] seconds.

Given that the mean time spent brushing teeth from the sample is 41.5 seconds, and the margin of error is 2.45 seconds, we can construct a confidence interval estimate using the formula:

(sample mean) ± (margin of error)

Substituting the given values, we get:

41.5 ± 2.45

Simplifying, we get:

[39.05, 43.95]

Therefore, we can be 95% confident that the true average time that all people spend brushing their teeth falls within this interval.

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