Serenity practices the piano 1036 minutes in 4 weeks. If t represents the total time she practices for any number of days, d, write a proportional equation for t in terms of d that matches the context

We are given that a hose in the front yard can fill the pool in 30 minutes and a hose in the back yard can fill it in half the time (so 15 minutes). We are asked to find the time, we'll call "t," it takes for both hoses together to fill up the pool.

We can create a rational equation, \(\frac{1}{30}+\frac{1}{15}=\frac{1}{t}\). Solve to "t"

\(\frac{1}{30}+\frac{1}{15}=\frac{1}{t} \Longrightarrow \frac{1}{30}+\frac{1}{15}*\frac{2}{2} =\frac{1}{t} \Longrightarrow \frac{1}{30}+\frac{2}{30} =\frac{1}{t} \Longrightarrow \frac{3}{30} =\frac{1}{t}\)

\(\Longrightarrow \frac{1}{t}=\frac{3}{30} \Longrightarrow \frac{1}{t}=\frac{1}{10} \Longrightarrow \boxed{t=10 \ min}\)

Thus, b is the correct option.

70% of senators are Democrats, 10% are Republicans, and 20% are Independents, distribution of political party In the Northeast region.

To calculate the conditional distribution of political party for the Northeast region, we need to divide the number of senators in each party by the total number of senators from the Northeast and express the results as percentages.

From the given table, we know that the Northeast region has a total of 20 senators. Out of these, there are 14 Democrats, 2 Republicans, and 4 Independents.

To calculate the percentages, we divide the number of senators in each party by the total number of senators from the Northeast and multiply by 100 to convert it to a percentage.

Percentage of Democrats in the Northeast = (14 / 20) * 100 ≈ 70%

Percentage of Republicans in the Northeast = (2 / 20) * 100 = 10%

Percentage of Independents in the Northeast = (4 / 20) * 100 = 20%

Therefore, in the Northeast region, approximately 70% of senators are Democrats, 10% are Republicans, and 20% are Independents.

These percentages indicate the distribution of political parties within the Northeast region. It is important to note that these percentages are approximations, rounded to the nearest tenth of a percent.

The analysis of political party percentages in different regions provides insights into the political landscape and representation within specific areas. It allows us to understand the relative strength of different parties and their impact on decision-making processes. Such information is valuable for researchers, policymakers, and individuals interested in studying or analyzing political dynamics and trends.

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Answer:

A. \(\frac{82}{3}\)

Step-by-step explanation:

Step 1: We know .3333... is \(\frac{1}{3}\), we rewrite the equation as  \(\frac{1}{3}\)

\(27\frac{1}{3}\\ \frac{1+(27)(3)}{3}\\\frac{1+81}{3}\\\frac{82}{3}\\\)

Therefore the answer would be A. \(\frac{82}{3}\)

Answer:

A. 82/3

Step-by-step explanation:

\(3\overline{|\smallspace82}\space\space\space\space\\\mathrm{Divide}\:8\:\mathrm{by}\:3\:\mathrm{to\:get}\:2\\\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\)

\(\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\mathrm{Multiply\:the\:quotient\:digit}\:\left(2\right)\:\mathrm{by\:the\:divisor}\:3\\\)

\(\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\mathrm{Subtract}\:6\:\mathrm{from}\:8\\\)

\(\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\)

\(\mathrm{Bring\:down\:the\:next\:number\:of\:the\:dividend}\\\)

\(\begin{matrix}\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace2\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\)

Divide 22 by 3 to get 7

\(\begin{matrix}\space\space\space\space\emptyspace2\emptyspace7\space\space\space\space\space\space\space\space\space\space\space\space\\ 3\overline{|\smallspace82}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace6}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace2\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\)

Multiply  the quotient digit 7 by the divisor

and sbtract 21 from 22=1

= 27 remainder 1

Answer:

step 3 because division is always before subtraction using PEMDAS

Step-by-step explanation:

Hope this helps:)

Answer:

Step-by-step explanation:

hello:

the area is : A = (b×h)/2

A= (2x+4)(x+3)/2 =2(x+2)(x+3)/2

A=(x+2)(x+3) = x²+2x+3x+6

A=x²+5x+6

The equation of the line passing through the points (-2,1) and (2,-11) the previous is -3 is -3x - 4.

It is also commonly represented by the variable "m" in the equation of a line: y = mx + b. A positive slope indicates that the line rises as x increases, a negative slope indicates that the line falls as x increases, and a slope of zero indicates that the line is horizontal.

The equation of the line with slope -3 and passing through the point (-2,1) can be found using point-slope form of a line:

y - 1 = -3 (x + 2)

y = -3x - 5 + 1

y = -3x - 4

The equation of the line passing through the points (-2,1) and (2,-11) is y = -3x - 4.

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Answer:

Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

Step-by-step explanation:

Answer:

an integer is a rational number

Step-by-step explanation:

Tanθ =sin /cos

tan θ = 5/2 / y

tan (30°) = 5/2 /y

\(y = \frac{5 \sqrt{3} }{2} \)

y=4.33

Since the dilation is bigger than the original figure, the Dilation factor must be greater than 1.

1/7 = 0.14 NO

0.4 NO

7/4 = 1.75 YES

So, the correct option is C

A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.

This version is also referred to as zero-intercept regression or homogeneous regression.

It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.

The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.

However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.

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Answer:

Step-by-step explanation:

5 minutes is the outlier. It sticks out from the rest.

The limit of each function at the given point i n the question 10 to 14, is explained below.

A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit. Although the right- and left-hand limits are present in this scenario, the limit is not defined.

When a variable approaches its limit from the right, the function's right-hand limit is the value that approaches.a

10). The limit of f(z) = Arg z as z approaches Zo = 1 does not exist. This is because the argument function is not continuous at the point z = 1, where there is a branch cut.

11). The limit of f(z) = \((1 - lm z)^{-1}\) as z approaches z0 = -8 does not exist. This is because the function approaches infinity as z approaches -8 from the left, and negative infinity as z approaches -8 from the right.

However, if we consider the limit of f(z) as z approaches z0 = -8 + i from both the left and the right, the limit exists and is equal to 0. This is because in the complex plane, the value of Im z cannot exceed 1, so as z approaches -8 + i, the denominator (1 - Im z) approaches 0, and the function approaches infinity. However, the numerator approaches a finite value of 1, which cancels out the denominator, and the overall limit is equal to 0.

12). The limit of f(z) = (z - 2) log(z - 2) as z approaches z0 = 2 is 0. This is because the term (z - 2) approaches 0 as z approaches 2, and log(z - 2) approaches 0 as well because log(z - 2) is continuous at z = 2. Therefore, the limit is equal to 0.

13). The limit of f(z) = -1/z as z approaches z0 = 0 does not exist. This is because as z approaches 0, the magnitude of 1/z approaches infinity, but the direction of approach depends on which quadrant the limit is approached from. Since the limit does not approach a unique value from all directions, the limit does not exist.

14). The limit of f(z) = 2 + \(2^{1/z}\) as z approaches infinity does not exist. This is because as z approaches infinity, the term  \(2^{1/z}\) approaches 1, and the limit approaches 2 + 1 = 3. However, if we approach infinity along the real axis, the limit of \(2^{1/z}\) approaches 1, but if we approach infinity along the imaginary axis, the limit of \(2^{1/z}\) approaches infinity. Therefore, the limit of f(z) does not exist.

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Answer:

=  -24576/7

or

-3510.857142

both are the correct answer

The minor arc in the given diagram as required to be determined is; arc TU and it's measure is; 116°.

The major arc in the given diagram as required to be determined is; arc TVU and it's measure is; 244°.

It follows from the task content that the minor and major arcs are to be named and their measures determined as required.

The minor arc in a circle is usually subtended by an angle less than 180° while the major arc is subtended by an angle greater than 180°.

Ultimately, the minor arc is; arc TU and it's measure is; 116° while the major arc is; arc TVU and it's measure is; 244°.

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Answer:

100%=25

Step-by-step explanation:

Answer:

D.324

Step-by-step explanation:

Answer:

D. 324 Sq in

Step-by-step explanation:

Painted area = area of rectangle + Area of square + Area of triangle

\( = 60 \times 4 + {8}^{2} + \frac{1}{2} \times 8 \times 5 \\ \\ = 240 + 64 + 20 \\ \\ = 324 \: {in}^{2} \)

Answer:

38.5cm³

Step-by-step explanation:

1ml = 1cm³

38.5ml = 38.5cm³

The categories and their  Percentages on the circle graph would be as follows:

Cape: 25%

Garrison: 40%

Split: 35%

To represent the distribution of house types in a town containing 25,000 houses on a circle graph, we need to determine the percentage of each category.

The given data provides the following frequencies for each house style:

Cape: 6,250 houses

Garrison: 10,000 houses

Split: 8,750 houses

To calculate the percentage for each category, we divide the frequency of each house style by the total number of houses in the town (25,000) and multiply by 100.

Percentage for Cape: (6,250 / 25,000) * 100 = 25%

Percentage for Garrison: (10,000 / 25,000) * 100 = 40%

Percentage for Split: (8,750 / 25,000) * 100 = 35%

Therefore, the categories and their respective percentages on the circle graph would be as follows:

Cape: 25%

Garrison: 40%

Split: 35%

These percentages represent the proportion of each house style in the town and can be visually represented on a circle graph to provide a clear visualization of the distribution of house types.

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Answer:

y = -4

Step-by-step explanation:

First, let's find the slope. Since the line is horizontal, it's slope has to be 0 (this is because slope = rise/run, there is no "rise" in a horizontal line therefore the slope is 0)

Now, we need to find the y-intercept. This is where the line intercepts the y-axis. Looking at the graph, the line intercepts the axis at (0,-4), therefore the y-intercept is -4.

The equation would be:

y=0x-4

y=-4

Answer:

480 students

Step-by-step explanation:

600 x .80

Answer:

The radius of the circle is 24.5 units

Step-by-step explanation:

The formula for the circumference of a circle is \(C=2\pi r\)

Where \(C\) is the circumference and \(r\) is the radius.

Lets solve for \(r\).

Divide both sides of the equation by \(2\pi\).

\(\dfrac{C}{2\pi}=r\)

Now we have an equation to evaluate the radius.

Numerical Evaluation

In this example we are given

\(C=153.86153\\\pi =3.14\)

Substituting our values into our equation for the radius yields

\(r=\dfrac{153.86153}{2*3.14}\)

\(r=\dfrac{153.86153}{6.28}\)

\(r=\dfrac{153.86153}{6.28}\)

\(r=24.5\)

Answer:

I got c. x = 64 but I could be wrong

Key features for the graph given in the problem will be-:Vertex (-1, -5), Axis of symmetry=> (x = -1), y-intercept (0,-3), Minimum=> (y=-5), Domain=> (All Real), Range=>( y >= -5)

Refering to the graph given in the problem(refer image attached).The key features of the graph can be given as:

The graph has an upward-opening form, an axis of symmetry at x = -1, a y-intercept at (0, -3), a minimum point at y = -5 (which is also the vertex), and it spans all real numbers on the x-axis (domain) while being larger than or equal to -5 on the y-axis (range).

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The solution for the given expression is 14∛x. The correct option is (C).

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is as below,

5∛x + 9∛x

The given expression can be simplified as follows,

5∛x + 9∛x

Here, both the terms have equivalent variables. So, both are like terms.

As per the rules like terms can be added or subtracted keeping the variable as the same.

Thus, 5∛x + 9∛x = 14∛x

Hence, the given expression can be evaluated as 5∛x + 9∛x = 14∛x.

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Answer:

y = 5

Step-by-step explanation:

\(14y-7y=35\\7y=35\\y=5\)

14 minus 7 is 7

7Y is equal to 35

divide both sides by 7 is equal to 5

Answer: The one that's correct is C

Step-by-step explanation: