Nia's dinner at O'Charley's costs $26.30 plus a tip of 17% . What is the total cost of the dinner?

Given: Two equation:

Required: Solve the system of equation graphically.

Explanation:

The graph of two lines can be drawn as follows:

The blue line is

And green line is

From the graph, the solution is point of intersection of both lines. So, the solution is (5,0.5). that is (5,1/2).

Final Answer: Option 3 is correct answer.

Answer:

the better buy is that from the second store as it is cheaper than that purchased from the first store

Step-by-step explanation:

Given that :

First store :

Amount paid = $12.16

Pounds of shrimps = 4.07

Unit price :

Amount paid / pounds of shrimps

$12.16 / 4.07 = $2.9877

= $2.99 = 299 cents

second store :

Amount paid = $14.99

Pounds of shrimps = 5.11

Unit price :

Amount paid / pounds of shrimps

$14.99 / 5.11 = $2.933

= 2.93 = 293 cents

Hence, the better buy is that from the second store as it is cheaper than that purchased from the first store

Step-by-step explanation:

As my previous answer got deleted for being wrong (in which it was right), I will answer again.

The answer is 1. Why? Just plug it into the equation. F(1) = 2(1) + 5 = 7.

This is proof that it is right, and that there are some corrupt admins on brainly.

How to get to this solution?

Well notice how we are given what f(a) is. It is 2a + 5. So plug this in for f(a).

If we do so, we get 2a + 5 = 7.

Solving this equation, we get a = 1.

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.

Here,

We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:

Twelve cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  Unit cοst: $29 fοr 12 cupcakes.

=>  $2.42 is the unit cοst per cupcake.

Tο make 24 cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=> 24 cupcakes equals $56 fοr the unit.

=>  $2.33 is the unit cοst per cupcake.

50 cupcakes =

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  $129 fοr a unit οf 50 cupcakes.

=>  Unit cοst: $2.58 fοr each cupcake

As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

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Answer:

The perimeter of this rectangle is 10 cm.

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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The most appropriate way to model 9485 with the base ten blocks is
9 - thousand, 4 - hundred, 8- ten, and 5 - once.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Base ten block implies the number of blocks according to the digit representation,
For the given question,
The number represents there are 9485 cubes, which can be represented as 9 - thousand, 4 - hundred, 8- ten, and 5 - once.

Thus, the most appropriate way to model 9485 with the base ten blocks is 9 - thousand, 4 - hundred, 8- ten, and 5 - once.

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Hope it will help you

Answer:

B. Y=5(X+2)

Step-by-step explanation:

If you look at the other persons graph is specifically says that.

The correct option for the given sum is option B. The point (2,-9) paired with (2, 3), will make a side equal to this length.

Let the other point of the pentagon will be M(n, o).

The given point be A (a, b)

Also given one of the sides of a pentagon has length 12.

Now, we need to find the distance between the two points,

Distance between two points: |AM| = √\((a-n)^2+(b-o)^2\)

Now,

\(12 = \sqrt{(2-n)^2+(3-o)^2}\)

\((12)^2\) = \((2-n)^2+(3-o)^2\)

\((2-n)^2+(3-o)^2\) = 144 ----------------------------- eq (1)

Now, check every point for the values to match with equation (1)

Option A: \((2-14)^2+(3-15)^2\) = 288. So the option is false.

Option B:

\((2-2)^2+(3-(-9))^2\) =114

0+114 =114

Therefore option B is correct. The other point is (2,-9).

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Answer:

17k - 25

Step-by-step explanation:

- 5(1 - 5k) - 4(2k + 5) ← distribute parenthesis

= - 5 + 25k - 8k - 20 ← collect like terms

= 17k - 25

Step-by-step explanation:

distribute -5 and -4

-5×1, -5×-5k and -4×2k, -4×5

so,

negative times negative is positive and positive times negative is negative

-5+25k-8k-20

add common variables

-5-20+25k-8k

-25+17k

The total area from the graph is 2.737.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

First of all, lets calculate the points of intersection (P, Q, R)

x²+3=(x+2) +5

x²-2=√(x+2)

x⁴+4-4x²=x+2

x⁴-4x²-x+2=0

(x-2)(x³+2x²-1)=0

(x-2)(x+1)(x²+x-1)=0

x=2, -1, -1±√(1+4)/2

Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2

So the limit of integration will be

P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))

Q(-1, (-1)²+3)=Q(-1, 4)

Area A:

\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)

= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)

= 2.07

Area B:

\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)

= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)

= 0.667

Total area = 2.07+0.667

= 2.737

Therefore, the total area from the graph is 2.737.

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The standard form of polynomial is x^2 + 9x - 1/10

To write the equation in standard form, look at the degree of highest term and then rewrite the equation in decreasing order of degree i.e. from highest to lowest.

The given polynomial is

⇒ x^2 + 9x - 1/10

The standard form of the polynomial is

⇒ x^2 + 9x - 1/10

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Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

(0,34)

Step-by-step explanation:

The equation of the line is

y = -0.5x + 34

Day 3    water level 32.5

Day 8     Water level 30

As the water drops by 2.5, the days increased by 5, so the slope is

-2.5/5 = -0.5

The y intercept is where the water was at the beginning.  It was at 34 feet so the y-intercept would be  (0,34)

Answer:

Step-by-step explanation:

Quantity 3 plus the square root of negative 16 end quantity:

Quantity 6 minus the square root of negative 64 end quantity:

Multiply the two above:

Answer:

x = 48°

Step-by-step explanation:

Complementary angles

Angles that sum to 90°.

Vertical Angle Theorem

When two straight lines intersect, the vertical angles are congruent (equal).

Therefore, angle x is equal to the angle that is complementary to 42°.

To find x, subtract 42° from 90°:

⇒ x = 90° - 42°

⇒ x = 48°

Answer:

Explained below.

Step-by-step explanation:

There are four red marbles (R) and two green marbles (G) in the bag.

The random variable X is defined as the number of red marbles that Tonya has in her hand after she selects four marbles from the bag.

The probability of selecting a red marble is:

\(P(X)=\frac{4}{6}=0.667\)

The sample space of X can be defined as follows:

Outcomes: {(RGGG), (RRGG), (RRRG), (RRRR), (RRGR), (RGRR), (GRRR), (RGRG), (GRRG), (RGGR), (GRGR), (GRGG), (GGRG), (GGGR), (GGGG)}

So, the sample space of X is:

S = {0, 1, 2, 3 and 4}

The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:

\(22.6 < \mu < 24.4\)

The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:

\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)

Looking at the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.96.

The lower bound of the interval is then given as follows:

\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)

The upper bound of the interval is then given as follows:

\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)

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Answer:

34.65

Step-by-step explanation:

495x0.07=34.65

This revision uses transitional words (first, next, finally) to indicate a clear sequence of events helps to create coherence and improve the flow of the passage.

The revision that most effectively uses transitions to create coherence is:

Javier trained for his first marathon for months.

He learned to pace himself and to push through the pain.

He developed blisters and shin splints.

It broke his heart not to finish.

This revision uses transitional words (first, next, finally) to indicate a clear sequence of events helps to create coherence and improve the flow of the passage.

The use of these transitions also helps the reader understand the chronological order of events in the story.

In addition, the other options have some issues.

The first revision uses "after" to indicate a time sequence but it is not clear what event this refers to.

The second revision uses "finally" is a good transition but it does not provide any other transition words to clarify the order of events.

The third revision uses "but" to contrast the two events creates a bit of confusion as there is no clear cause-and-effect relationship between the two.

The fourth revision uses "also" to indicate a connection but it does not clearly indicate the sequence of events.

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Therefore, B's share is Rs. 30,000 and C's share is Rs. 40,000.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.

Here,

Let the total sum of money be x.

Then, according to the given ratio, A's share is 2/9 of the total sum, so we have:

2/9 * x = 20000

Multiplying both sides by 9/2, we get:

x = 90000

Now, we can find the shares of B and C as follows:

B's share = 3/9 * 90000 = 30000

C's share = 4/9 * 90000 = 40000

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The correct trigonometric substitution for evaluating integral ∫√(x² + 64) dx is option B. x = 8 tan θ.

To evaluate the integral ∫√(x² + 64) dx using trigonometric substitution, use the substitution x = 8 tan θ.

Let's go through the steps to see how this substitution leads us to the solution:

1. Substitute x = 8 tan θ.

This implies dx = 8 sec² θ dθ.

2. Substitute the expression for x and dx in the integral:

∫√(x² + 64) dx becomes ∫√((8 tan θ)² + 64) * 8 sec² θ dθ.

3. Simplify the expression:

∫√(64 tan² θ + 64) * 8 sec² θ dθ = ∫√(64(sec² θ - 1)) * 8 sec² θ dθ.

4. Further simplify:

∫√(64sec² θ - 64) * 8 sec² θ dθ = ∫√(64sec² θ) * 8 sec² θ dθ.

5. Simplify the expression inside the square root:

∫8sec θ * 8 sec² θ dθ = ∫64sec³ θ dθ.

6. Integrate with respect to θ:

∫64sec³ θ dθ = 64∫sec³ θ dθ.

Now, this integral can be evaluated using standard trigonometric integral identities or integration techniques. However, it's worth noting that the original integral did not involve the variable θ, so we would eventually need to convert the result back to x by substituting x = 8 tan θ.

The correct answer is B. x = 8 tan θ.

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The triangle AEC is similar to triangle BDC.

Those triangles look the same but are different in size.

And in similar triangles,

the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.

Given:

5. ΔAEC is a triangle.

Assuming BD is parallel to AE.

The ratio of the corresponding sides,

10/5 = 2

8/4 = 2

The ratio is constant.

A similar triangle is made by drawing a line parallel to one of the triangle's sides.

Therefore, triangle AEC ~ triangle BDC.

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Answer:

Arrange similar algebra given there ... which is 'p' here , Now ;

10p -5= - 6+2p

or, 10p -2p = -6+5

( NOTE : Moving to opposite side , + becomes - and - becomes + )

10p -2p = -6+5

8p = - 1

p = - 1 / 8

Answer:

\(\frac{-1}{8}\)

Step-by-step explanation:

You balance the equation by getting rid of the variable on one side and then you get rid of the constant on the other then solve from there

10-5=-6+2p

10p-5-2p=-6+2p-2p

8p-5+5-6+5

8p=-1

\(\frac{8p}{8}=\frac{-1}{8}\)

p=\(\frac{-1}{8}\)

To solve the equation we put -1/8 in the p spot:

10x-1/8-5=-6+2x-1/8

-1.25-5=-6+-0.25

-6.25=-6.25

The equation = -6.25

If f(x) = 6x - 4, what is f(x) when x = 8?

in this case, you need to evalute the function with x= 8, just replace

so, the answer is 44

Point located at each location: 1) A  2) I 3) W 4) H 5) X 6) G 7) J 8) N 9) U 10) M 11). Ordered pairs are:  B(2,8) 12) E(0,0) 13) T(3,3) 14) Q(8,7)  15) Y(7,6) 16) R( 9,8) 17)  F(9,0) 18) S(3,6) 19) C(6,7)

Describe Ordered pair?

An ordered pair is a pair of mathematical object elements, such as numbers or other mathematical elements, where the order in which the object elements are listed is important. The ordered pair is usually written in the form (a, b), where 'a' represents the first element or coordinate, and 'b' represents the second element or coordinate.

In the context of the Cartesian coordinate system, an ordered pair represents a point in two-dimensional space, where the first element or coordinate represents the horizontal position on the x-axis and the second element or coordinate represents the vertical position on the y-axis. The order of the elements in an ordered pair is crucial because (a, b) is different from (b, a) and represents a different point in two-dimensional space.

Point located at each location is:

1) A

2) I

3) W

4) H

5) X

6) G

7) J

8) N

9) U

10) M

The ordered pair for given points is:

11) B(2,8)

12) E(0,0)

13) T(3,3)

14) Q(8,7)

15) Y(7,6)

16) R( 9,8)

17)  F(9,0)

18) S(3,6)

19) C(6,7)

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Answer:

The role of descriptive statistics in data analysis is to provide descriptions of the population characteristics, using numerical calculations, graphs, and tables.  Descriptive statistics describe what is going on in a population or data set.

On the other hand, inferential statistics make predictions and draw inferences about a population using the population sample.

Step-by-step explanation:

The two types of statistics are descriptive statistics and inferential statistics.  Descriptive statistics describe sets of data, allowing patterns to emerge from the data.  These also enable the presentation of the data in a more meaningful way, allowing for simpler interpretation of the data. Two types of descriptive statistics help in this regard.  They are measures of central tendencies and measures of spread.  Inferential statistics draws conclusions about the sets of data based on sampling, allowing for the making of generalizations and testing of hypotheses.