A restaurant at the food court in a mall is offering a lunch special. The table shows the relationship between the number of side dishes and the total cost of the special.


Restaurant
Number of Side Dishes Total Cost
2 $8.25
4 $11.25
5 $12.75
8 $17.25


Which of the following graphs shows the relationship given in the table?
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 7 and 25 hundredths through the point 3 comma 11 and 75 hundredths
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 7 and 75 hundredths through the point 3 comma 12 and 25 hundredths
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 5 and 25 hundredths through the point 3 comma 9 and 75 hundredths
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 5 and 5 tenths through the point 5 comma 13

Answer:

letter R rounded off to the nearest tenth is 40

15 is the answer because this is the nearest

Answer:

D

Step-by-step explanation: for p(x), the slope from 0 to 3 is 30, meaning if linear every time x increases by 3, the y value should as well, meaning that six as an x value to be linear should have been 90, but it was not.

For q(x), the slope from 0 to 3 is 90, and following the same thing from above, this means for every 3 units moved on the x, it should increase by 90 units on the y. This means 6 to be linear should have been 200 but instead was 380 making it also nonlinear

The triangle inequality states that the sum of any two sides of a triangle must be greater than the third side.

Using this principle, we can calculate the range of possible distances between each of the following cities:

Minneapolis and San Francisco: The sum of the distances from Minneapolis to Chicago and from Chicago to San Francisco is 1584 + 355 = 1939. Therefore, the minimum distance between Minneapolis and San Francisco is 1939 - 1584 = 355. The maximum distance between Minneapolis and San Francisco is 1939.

Minneapolis and Houston: The sum of the distances from Minneapolis to Chicago and from Chicago to Houston is 1584 + 1056 = 2640. Therefore, the minimum distance between Minneapolis and Houston is 2640 - 1584 = 1056. The maximum distance between Minneapolis and Houston is 2640.

Minneapolis and New York: The sum of the distances from Minneapolis to Chicago and from Chicago to New York is 1584 + 1018 = 2602. Therefore, the minimum distance between Minneapolis and New York is 2602 - 1584 = 1018. The maximum distance between Minneapolis and New York is 2602.

Chicago and Houston: The sum of the distances from Chicago to Minneapolis and from Minneapolis to Houston is 1584 + 1056 = 2640. Therefore, the minimum distance between Chicago and Houston is 2640 - 1056 = 1584. The maximum distance between Chicago and Houston is 2640.

San Francisco and Chicago: The sum of the distances from San Francisco to Minneapolis and from Minneapolis to Chicago is 355 + 1584 = 1939. Therefore, the minimum distance between San Francisco and Chicago is 1939 - 355 = 1584. The maximum distance between San Francisco and Chicago is 1939.

New York and San Francisco: The sum of the distances from New York to Minneapolis and from Minneapolis to San Francisco is 1018 + 355 = 1373. Therefore, the minimum distance between New York and San Francisco is 1373 - 1018 = 355. The maximum distance between New York and San Francisco is 1373.

Houston and New York: The sum of the distances from Houston to Minneapolis and from Minneapolis to New York is 1056 + 1018 = 2074. Therefore, the minimum distance between Houston and New York is 2074 - 1056 = 1018. The maximum distance between Houston and New York is 2074.

Answer:

is not a solution to the system of equations.

Step-by-step explanation:

Sure! Here's a step-by-step solution to determine if the point (-6, 3) is a solution to the system:

Substitute the x and y values into the first equation:

y = 1/2x + 6

3 = 1/2(-6) + 6

Simplify the right side of the equation:

3 = -3 + 6

Solve for the value of y:

3 = 3

The first equation is satisfied, so now let's substitute the x and y values into the second equation:

2y = -x - 3

2 * 3 = -(-6) - 3

6 = +6 - 3

Simplify the right side of the equation:

6 = -3

The second equation is not satisfied, so the point (-6, 3) is a not solution to the system.

Answer:

1.8 quintillion or 1,800,000,000,000,000,000

Step-by-step explanation:

The equation of the circle is (x-3)^2 + (y-4)^2 = 85.the equations of the tangents to the circle that are perpendicular to the line 3y-4x-24=0 are     y = (-4/3)x + 11 and y = (-4/3)x + 9.

First, we find the center of the circle. Since the circle touches the line 3y-4x-24=0 at the point (0,8), the center must lie on the line perpendicular to this line and passing through (0,8), which has the equation 4y + 3x - 32 = 0. The intersection of this line with the line passing through (7,9) and perpendicular to the line 3y-4x-24=0 gives us the center of the circle:

Solving the equations 3y - 4x - 24 = 0 and 4y + 3x - 32 = 0 gives us the point (3,4), which is the center of the circle.

Now, we can find the radius of the circle by using the distance formula between the center (3,4) and the point (7,9):

r = √((7-3)^2 + (9-4)^2) = √(85)

So the equation of the circle is (x-3)^2 + (y-4)^2 = 85.

To prove that the circle also touches the x-axis, we need to show that the distance from the center (3,4) to the x-axis is equal to the radius. The equation of the x-axis is y=0, so the distance from (3,4) to the x-axis is simply 4. Since the radius is sqrt(85), which is also approximately equal to 9.22, we can see that 4 is indeed equal to the radius, so the circle touches the x-axis.

To find the equations of the tangents to the circle that are perpendicular to the line 3y-4x-24=0, we first find the slope of this line, which is 3/4. The slope of a line perpendicular to this line is the negative reciprocal, which is -4/3.

To find the points of tangency, we need to find the intersection points of the line passing through (3,4) with slope -4/3 and the circle (x-3)^2 + (y-4)^2 = 85. This gives us two points of tangency: (0,7) and (6,1).

The tangent lines at these two points can be found using the point-slope form of the equation of a line, with the slope equal to the negative reciprocal of the slope of the line 3y-4x-24=0:

At (0,7), the tangent line has the equation y - 7 = (-4/3)(x-0), which simplifies to y = (-4/3)x + 7 + 4 = (-4/3)x + 11.

At (6,1), the tangent line has the equation y - 1 = (-4/3)(x-6), which simplifies to y = (-4/3)x + 9.

Therefore, the equations of the tangents to the circle that are perpendicular to the line 3y-4x-24=0 are y = (-4/3)x + 11 and y = (-4/3)x + 9.

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Answer:

The correct answer is D. 7 pounds.

Step-by-step explanation:

The weight of the baby when its born is 7 pounds.

Answer:

So the equation of the transformed function h(x) is h(x) = -x^2 + 3.

Step-by-step explanation:

Since h(x) is the result of reflecting f(x) across the x axis and translating it 3 units in the positive y-direction, we know that:

The x-coordinates of f(x) and h(x) are the same, so x is unchanged.

The y-coordinates of f(x) and h(x) are reflected across the x axis, so we need to negate the y-coordinate.

The y-coordinate of h(x) is shifted up by 3 units, so we need to add 3 to the y-coordinate.

Given the equation of f(x) = x^2, the equation of h(x) can be written as:

h(x) = -x^2 + 3

So the equation of the transformed function h(x) is h(x) = -x^2 + 3.

The length of line segment DL of the system of similar triangles is 4√3. The length of line segment BD of the system is √3.

Two triangles are similar if they have congruent angles and if their sides are not congruent though proportional. The statement of the problem can be described by following equations:

Proportion formula

AD / BD = DL / AD

DL = 4 · BD

Then, we find the formula for line segment DL:

AD / BD = 4 · BD / AD

AD² = 4 · BD²

BD = √(AD / 2)

If we know that AD = 6, then the length of line segment DL:

BD = √3

DL = 4√3

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The probability that at least one of the next five birds he sees is a song sparrow is 0.65

From the question, we have the following parameters that can be used in our computation:

05716    16803   96568    32177      33855

76635    92290  88864     72794    14333

79019     05943   77510      74051    87238

97895      86481   94036    12749    24005

Also, we have:

Using the above as a guide, we have the following individual representations of at least one sparrow bird

Yes   Yes Yes No Yes

Yes No Yes No No

No Yes Yes Yes No

Yes Yes Yes No Yes

So, we have

At least one sparrow bird = 13

Total = 20

So, the probability is

P = 13/20

Evaluate

P = 0.65

Hence, the probability is 0.65

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Answer: number 2 is A

Step-by-step explanation:

The graph of the quadratic function y = -6x² + 1 is given by the image presented at the end of the answer.

The parent quadratic function is given as follows:

y = x².

The transformed quadratic function is given as follows:

y = -6x² + 1.

The transformations are given as follows:

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The slope of the line that passes through (-8,-1) and (12,4) is 1/4.

The equation of the line in slope intercept form is y = x/4 - 31/4.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope, m = (4 + 1)/(12 + 8)

Slope, m = 5/20

Slope, m = 1/4.

At point (-8, -1), a linear equation of this line can be calculated in slope-intercept form as follows:

y - y₁ = m(x - x₁)

y - (-8) = 1/4(x - (-1))

y + 8 = x/4 + 1/4

y = x/4 - 31/4.

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The measures of all the angles D, C, E and F are 90 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

On the circle, we have the angles D, C, E and F to be angles in a semicircle

As a general rule:

Angles in a semicircle are right angle

This means that

Angle in a semicircle = 90 degrees

Using the above as a guide, we have the following:

D, C, E and F = 90 degrees

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The relationship representing the amount of water remaining in the pool when using the large hose to pump out is

a. 1200 - 60x = y

The amount of water to be pumped out = 1200 gallons

The rate of pumping out using the small hose 20 gallons of water per minute. = -20x

let each minute be x, hence every minute 20x volume of water leaves the pond

The equation is represented as

water remaining = 1200 - 20x

in 2 hours, we have  120 minutes, when will the water finish

water remaining = 0 = 1200 - 20x

20x = 1200

x = 1200 / 20

x = 60 minutes hence 1 hour

For the large hose the rate of pumping out is tripled hence

water remaining = 1200 - 60x

y = 1200 - 60x

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Answer:

5/2 hours      or      2 hours and 30 minutes

Step-by-step explanation:

The x represents the time it took Mrs. Ritts to mow the front yard. We don't know this time so put it as a variable. We also know that the time to mow her backyard is equal to 2 times the variable and then minus 2.

Equation:   3 = (2x) - 2  

Now we just isolate the x. First, start by adding 2 to both sides.

5 = 2x

Now just divide both sides by 2.

5/2 = x

5/2 as a mixed number would be 2 and 1/2 so that means the time would be 2 and a half hours.

The table that represents a linear relationship that is also proportional is; Table 2

A proportional relationship is defined as one where there is multiplying or dividing between the two numbers. A linear relationship can be a proportional one (for example y = 2x is proportional), but usually a linear equation has a proportional component plus some constant number (for example y = 2x + 3).

Table 1:

The proportions are;

-3/2, 0/3, 3/4

They are not equal and so not proportional

Table 2:

The proportions are;

-2/4 and -1/2

They are equal and so are proportional

Table 3:

The proportions are;

0/-2, 1/1 and 2/4

They are not equal and so not proportional.

Table 4:

The proportions are;

-4/0, 0/1 and 4/2

They are not equal and so not proportional.

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Using fitted curve, a similar new blockbuster would expect

A fitted curve is a curve that is created to model a set of data points, such that the curve passes as closely as possible to the points. The process of finding a fitted curve is called curve fitting or regression analysis.

Tracing the fitted curve, we have that

week 1 = 150 million

Week 2 = 75 million

Week 3 =  40 million

Week 4 =  25 million

Adding up the amounts

= 150 + 75 + 40 + 25

= 290 million

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Answer:

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

Definition:

Substitute for cos α:

Hi there, here's your answer:

The question asked here is, "Which of the following is a line segment in the  drawing?"

Let's review all the options first.

a) HD

H and D being two points of a line AK form a line segment.

b) HA

H being a point on the line AK and A being an end point of a line make HA a ray.

c) GH

Again, H being a point on line GJ and G being an end point of a line make GH a ray.

d) DI

DI are two distinct points and do not join, thus they don't form a line segment.

Therefore, the correct option is (a) HD

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Answer: Let's assume that the marked price of the watch is M.

The discount amount would be 20% of M, which can be calculated as:

0.2 * M = 0.2M

The selling price after the discount would be:

M - 0.2M = 0.8M

The VAT amount would be 13% of the selling price after the discount, which can be calculated as:

0.13 * 0.8M = 0.104M

Now, as the discount amount is Rs.192 more than the VAT amount, we can write an equation:

0.2M = 0.104M + 192

0.096M = 192

M = 192 / 0.096 = 2000

So, the marked price of the watch is Rs.2000 and the selling price after the discount and VAT is 0.8M = 0.8 * 2000 = 1600.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sum of the exterior angles of a triangle is equal to 360 degrees, while the sum of the interior angles of a triangle is equal to 180 degrees.

When you combine the sum of the exterior angles and the sum of the interior angles of a triangle, you get:

360 degrees + 180 degrees = 540 degrees

So, the sum of the exterior angles and the sum of the interior angles of a triangle is equal to 540 degrees.

The values that make the inequality true are -5, -2, 0, 2, 2.9, 2.99 and 2.999.

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4

Since the inequality is a < 3. Thus, any value that is less than 3 will make the inequality true.

Therefore, the values are -5, -2, 0, 2, 2.9, 2.99 and 2.999.

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On solving the provided question, we can say that By fraction, 3/4 times 5/7 is 15/28 and Action games are 15/28 of the apps.

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

By fraction,

3/4 times 5/7 is 15/28.

Action games are 15/28 of the apps.

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Answer: 180

Step-by-step explanation: Hope this helps :D

Answer:

180 Cows

Step-by-step explanation:

24 in 2 = 12/hr

12 cows x 15 hours = 180 cows

Answer: Let's call the number of hours it takes for Rayna and Desi to build the fence together as "h". During this time, Rayna will build 10h feet of fence line, and Desi will build 2h feet of fence line.

Together, they will build 10h + 2h = 12h feet of fence line in h hours.

To build 80 feet of fence line, they will need h hours such that:

12h = 80

So,

h = 80 / 12 = 6.67 hours

So it will take Rayna and Desi 6.67 hours to build 80 feet of fence line together.

Step-by-step explanation:

Answer: look at the image for the answer and the solution

Step-by-step explanation:

The value of x in the diagrams are 14 and 99 respectively

Note the following points;

From the information given in the diagram

56 degrees and 4x degrees are corresponding

Then,

4x = 56

Make 'x' the subject

x = 14

From the second image

Add the angles and equate to 360 degrees, we have;

3x + 2 + 36 + x - 74 = 360

collect like terms

4x = 360 + 36

4x = 396

Make 'x' the subject

x = 99

Hence, the values are 14 and 99

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On solving the provided question, we can say that  The following are the mean and standard deviation of the sample distribution of x: Average: 225 sec. 19 second standard deviation.

Standard deviation is a statistic that expresses the variability οr variance of a grοup of numbers. While a high standard deviation suggests that the values are mοre dispersed, a low standard deviation suggests that the values tend tο be closer to the established mean.

A measure of hοw dispersed the data are frοm the mean is the standard deviation (οr ). When the standard deviation is lοw, the data tend to be grouped around the mean, and when it is large, the data are mοre dispersed. The average variability of the data set is measured as standard deviation. It reveals the average deviation of each scοre from the mean.

The median matches the median οf the population.

The pοpulation standard deviation is divided by the square root of the sample size tο produce the standard deviation.

The following are the criteria fοr this issue:

average population of 225 seconds.

60 second population standard deviatiοn.

10 second sample size.

Consequently, the following is the standard deviation fοr the sample distributiοn of x:

19 seconds are equal to 60/√(10).

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