Burgers come in packs of 6 and buns are sold in packs of 8. If I want to have an equal number of burgers and buns for my BBQ, how many PACKS OF BURGERS do I need to buy

Answer:

{(-20, -3), (-12, -1), (-8, 0), (-4, 1), (4, 3)}

Step-by-step explanation:

Switch x and y in each ordered pair.

The inverse relation of {(-3, -20), (-1, -12), (0, -8), (1, -4), (3, 4)} is

{(-20, -3), (-12, -1), (-8, 0), (-4, 1), (4, 3)}

The range of the given graph of the function is y ≤ 0. The correct option is A.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

The range of the function will be the y value of the function. here in the graph, the y value is varying from 0 to negative infinite value which means that the y value will ranges from 0 and less than zero.

y ≤ 0

The correct option would be A.

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Step-by-step explanation:

There can be more than one:

Here are some:

206/8x

515/20x

1030/40x

The smallest p-value is always associated with the z-score that is furthest away from the mean. This is because the tails of the normal distribution curve have less area and thus represent smaller p-values. The correct answer is option (d) z = -3.24.

In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1).

The null hypothesis is the one we're testing, while the alternative hypothesis is the one we're trying to support or prove.

A two-tailed alternative hypothesis is one in which we are interested in whether a parameter is not equal to a certain value, as opposed to one-tailed alternative hypotheses, in which we are interested in whether the parameter is greater than or less than a certain value.

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It should take approximately 1.98 hours, or around 1 hour and 59 minutes, to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

To calculate the cooking time for a 5.17 pound roast, we can use the recommended guideline of 23 minutes per pound. First, we need to convert the weight from pounds to minutes, and then convert minutes to hours.

Cooking time in minutes = 5.17 pounds * 23 minutes/pound

Cooking time in minutes = 118.91 minutes

To convert minutes to hours, we divide the total minutes by 60:

Cooking time in hours = 118.91 minutes / 60

Cooking time in hours ≈ 1.98 hours

Therefore, it should take approximately 1.98 hours to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

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The unit rate of change of the proportional relationship is given as follows:

$60 dollars per hour.

The graph of the proportional relationship is given by the image shown at the end of the answer.

A proportional relationship is a linear function with an intercept of zero modeled as follows:

y = kx.

In which k is the constant of proportionality.

The input and output variables for this problem are given as follows:

From the table, the constant of proportionality representing the unit rate of the proportional relationship is calculated as follows:

k = 300/5 = 240/4 = 360/6 = $60 per hour.

Then the relationship is defined as follows:

y = 60x.

The domain is x >= 0, as the number of hours worked is a countable amount, meaning that is does not assume negative values.

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The linear function that models the problem is y = 60x and the graph is attached below

A linear function is a function which can be written in the form y=mx+b, where m and b are constants, and x is a variable. This type of function has a constant rate of change and is used to model a wide variety of real-world situations, such as the distance travelled over time or the cost of an item.

In this problem, we need to take two points and find the slope and y - intercept of the line and then proceed to plot the graph.

Taking (5, 300) and (4, 240)

The formula of slope is given as;

m = y₂ - y₁ / x₂ - x₁

m = (240 - 300) / (4 - 5)

m =  -60 / -1

m = 60

The slope is 60 and we can find the y - intercept here;

y = mx + c

300 = 60(5) + c

300 = 300 + c

c = 300 - 300

c = 0

The linear function is given as y = 60x

Plotting this on a graphing line, we will have a straight line passing through the point of origin.

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Answer:

167,225.472ft³

Step-by-step explanation:

1/2 × 8ft × 5ft = 609.6ft² [base area]

609.6ft² × 3ft = 55,741.824ft³ [volume of the bottom half]

(8 × 5 × 3)÷3 = 111,483.648ft³ [volume of pyramid]

111483.648ft³ + 55,741.824ft³ = 167,225.472ft³ [entire volume]

Answer:

The area of the new circle is 804.57 cm^2

Step-by-step explanation:

In this question, we are interested in calculating the area of the new circle of the radius of the old circle was doubled.

Let’s calculate the former radius first;

Mathematically;

Area of a circle = π * r^2

Thus;

201.06 = π * r^2

r^2 = 201.06/π

r^2 = 63.999

r = √63.99

r = 8 approximately

Now let’s double this radius and it becomes 2 * 8 = 16 cm

The new area will be ;

22/7 * 16 * 16 = 804.57 cm^2

Hi, I'm glad to help you with this question. To determine if the normal distribution gives a reasonable approximation using the given data, we need to calculate the mean and standard deviation. Here are the steps:

1. Calculate the mean (average): Add all the data points together and divide by the number of data points.
(71+42+77+84+46+93+94+63+82+88+57+32+79+67+68+83+60+65+58+70) / 20 = 1380 / 20 = 69

Mean = 69

2. Calculate the standard deviation: First, find the difference between each data point and the mean, square the differences, and then find the average of those squared differences. Finally, take the square root of that average.
a. Differences from the mean: (-2, 27, 8, 15, -23, 24, 25, -6, 13, 19, -12, -37, 10, -2, -1, 14, -9, -4, -11, 1)
b. Squared differences: (4, 729, 64, 225, 529, 576, 625, 36, 169, 361, 144, 1369, 100, 4, 1, 196, 81, 16, 121, 1)
c. Average of squared differences: (4520) / 20 = 226
d. Square root of the average: √226 ≈ 15.03

Standard Deviation ≈ 15.03

Now that we have the mean (69) and the standard deviation (15.03), you can compare these values to the distribution line that you draw through the data by eye. If the distribution line follows a bell-shaped curve with the mean at the center and the data points spread around it following the standard deviation, then the normal distribution provides a reasonable approximation for this data set.

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B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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The area of the 8-sided shape is 27.5 square centimeters. having a width of 0.875cm and a length of 7.875cm.

Let us assume that Wdth of rectangle= w

Length of rectangle = Width + 7cm

The perimeter of a rectangle is calculated by using the formula,

The perimeter of rectangle = 2(w + w + 7) = 4w + 14

It is given that there are 4 rectangles, which means there are 8 sides. Therefore, the Total perimeter of the area is 4 times that single rectangle.

Total perimeter = 4(4w + 14) = 16w + 56

16w + 56 = 70

16w = 14

w = 0.875

The width of the rectangle = 0.875cm

Length of rectangle = 7cm + 0.875cm =  7.875cm

The area of a triangle is calculated as:

The area of triangle = (1/2) x base x height

The area of triangle = (1/2) x 0.875 x 7.875 = 3.4375

The area of the triangle for an 8-sided shape = 8 x 3.4375 = 27.5 \(cm^2\)

Therefore we can conclude that the area of the 8-sided shape is approximately 27.5    \(cm^{2}\)

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An equation for this statement "The sum of seven times a number and 16 is 163," is 7n + 16 = 163.

The solution is 21.

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:

Let the variable n represent the unknown number.

Based on the statement "The sum of seven times a number and 16 is 163," we can logically deduce the following algebraic equation;

7n + 16 = 163

7n = 163 - 16

7n = 147

n = 147/7

n = 21.

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To determine how many gallons of gas Ava would have remaining after driving for 7 hours, we need to look at the linear relationship between the number of hours driven (t) and the gallons of gas remaining (G).  Ava would have 2.5 gallons of gas remaining in her tank after driving for 7 hours.

Based on the given values in the table, we can see that there is a constant rate of decrease in the amount of gas remaining for each hour driven. This rate is represented by the slope of the line, which is (-2.5) gallons per hour.

Using this information, we can use the slope-intercept form of a linear equation to find the value of G when t = 7. The equation for this linear relationship is:

G = -2.5t + 20

Plugging in t = 7, we get:

G = -2.5(7) + 20
G = -17.5 + 20
G = 2.5

Therefore, Ava would have 2.5 gallons of gas remaining in her tank after driving for 7 hours.

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Answer: One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

Step-by-step explanation:

Answer:

Pretty sure the Answer is b. and if not b then c.

Step-by-step explanation:

Use the slope formula y2-y1/x2-x1.

7-3/2-9=4/-7

Answer:

D. m=-4/7

Step-by-step explanation:

To find a slope with 2 points use the formula m=(y2-y1)/(x2-x1)

X is the first number in the parenthesis and Y is the second

A includes X1 and Y1 and B includes X2 and Y2

substitute your numbers into the equation to make

7-3/2-9 then you just subtract to get 4/-7 or -4/7

Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

The cylindrical coordinates of (−7, 7, 7) are (√98, -π/4, 7). cylindrical coordinate (−7, 7 3 , 1) is  (14, -π/3, 1).

We must switch from rectangular to cylindrical coordinates in the provided problem. (let r ≥ 0 and 0 ≤ θ ≤ 2π.)

A)(−7, 7, 7)

Given rectangular coordinates(x, y, z) =(−7, 7, 7)

The cylindrical coordinates are (r, θ, z)

As a result, we determine each value of r and θ  separately.

r = √x²+y²

r = √(-7)²+(7)²

r = √49+49

r = √98

θ = tan⁻¹ (y/x)

θ =tan⁻¹  (7/-7)

θ =tan⁻¹  (-1)

θ = -π/4

So cylindrical coordinate = (r, θ, z) = (√98, -π/4, 7)

B) (-7,7√3,1)

Given rectangular coordinates(x, y, z) = (-1,1,1)

The cylindrical coordinates are (r, θ, z)

As a result, we determine each value of r and θ  separately.

r = √x²+y²

r = √(-7)²(7√3)²

r = √49+147

r = √196

r = 14

θ = (y/x)

θ = (7√3/-7)

θ = (-√3)

θ = -π/3

So cylindrical coordinate = (r, θ, z) = (14, -π/3, 1)

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Answer:

since there are 4 states that start with A and 8 that start with M, this means that out of the 50 states there are 12 states that he could throw a dart at and get either A or M, meaning that 12/50 is the fraction and 12/50 converted into a percentage or decimal is 0.24 meaning that 0.24 is the probability that he throws a dart and hits a state that starts with an A or M

Answer:

The correct option is;

A vertical line can be represented using a table but not a function because the slope is undefined

Step-by-step explanation:

A function, f(x), representing a linear relationship can be presented as follows;

f(x) = m·x + c

Where;

m = The slope = Δy/Δx = (y₂ - y₁)/(x₂ - x₁)

c = The y-intercept

Whereby the line is a vertical line, x₂ = x₁ and x₂ - x₁ =

Therefore;

The slope of a vertical function, m =  (y₂ - y₁)/(x₂ - x₁) = (y₂ - y₁)/0 = ∞ from which we have;

f(x) = ∞·x + c = ∞ which is undefined and the vertical line can only be represented using a table but not a function because the slope is undefined

Answer:

We can use Heron's Formula to calculate the area of a triangle given its three side lengths. The formula is:

A = √(s*(s-a)*(s-b)*(s-c)),

where s = (a + b + c)/2, a, b and c are the three sides of the triangle.

In this case, a = 15, b = y and c = (y-2). Therefore, we can plug these numbers in to get:

80 > √[(y + 7.5) * (y - 7.5) * (y - 2) * (y - 15)]

We can simplify this equation to get:

y^2 - 5y - 80 > 0

This equation can be solved using the quadratic formula, where the solution for y is:

y < 14.09 or y > 10.91

Therefore, the possible values for y are any number between 10.91 and 14.09.

Answer:

22.36

Step-by-step explanation:

Answer: B is 44 degrees.

Step-by-step explanation:

(6x+22)=(7x+16)=90.

x=4

(7(4)+16)=44

Answer:

40%

Step-by-step explanation:

6/15=favorable amount/total amount

6/15=2/5

2/5*20

Answer: 40%

6/15 can be simplified to 2/5. multiply by 20 on both sides to get 40/100 (40%)

In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.

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Answer:

Step-by-step explanation:

if the equation of line p is

4x+7y=20 then the equation of line q must be

-7 x +4y=15 because perpendicular lines have

slopes with a product of -1

Answer:

y = 2x² + 8x + 8

Step-by-step explanation:

x = t - 2 → t = x + 2

y = 2t²

Substitution:

y = 2(x + 2)²

y = 2(x² + 4x + 4)

y = 2x² + 8x + 8