the concession stand at a football game sells hot dogs and drinks. 2 22 hot dogs and 4 44 drinks cost $ 8 $8dollar sign, 8. it costs $ 7 $7dollar sign, 7 for 3 33 hot dogs and 2 22 drinks. what is the cost for 1 11 hot dog and 1 11 drink?

Answer:

A

Step-by-step explanation:

I= PRT

\(simple \: interest = \frac{500 \times 3 \times 1}{100 \times 2} \)

\( = \frac{1500}{200} \)

=$7.50

The equation of the line of reflection is y - y₁ = -(Xx - Ax)/(Xy - Ay)(x - x₁).

To find the equation of the line of reflection, we need to determine the reflection line. Since the reflection line is not given, we can find it by locating the perpendicular bisector of the line segment joining AX and its image N' after reflection.

We can first find the midpoint of line segment AX, which is the point M = (A + X)/2. Then, we can find the slope of the line joining AX, which is given by (Xy - Ay)/(Xx - Ax), where Ay, Ax, Xy, and Xx are the y and x coordinates of points A, X, N, and N', respectively.

The slope of the perpendicular bisector is the negative reciprocal of the slope of the line joining AX. Therefore, the slope of the reflection line is given by

=> -(Xx - Ax)/(Xy - Ay).

Next, we can use the point-slope form of the equation of a line to find the equation of the reflection line. If (x,y) are the coordinates of any point on the reflection line, the equation of the line can be written as y - y₁ = m(x - x₁), where m is the slope of the reflection line and (x₁,y₁) is any point on the line.

Substituting the slope we found earlier, we get the equation of the reflection line as y - y₁ = -(Xx - Ax)/(Xy - Ay)(x - x₁).

Thus, we have found the equation of the line of reflection for the given scenario.

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Complete Question:

Reflections < 13°

Below is a reflection that is not over an axis.

AX = N is the pre-image.

Write the equation of the line of reflection.

The expected standard deviation of stock A's returns, based on the information presented in the table, is approximately 23.57%.

To calculate the expected standard deviation of stock A's returns, we first need to calculate the variance. The variance is the average of the squared deviations from the expected return, weighted by the probabilities of each outcome.

Given the information provided:

Outcome Probability Stock A Return

Good 16% 65.00%

Medium 51% 17.00%

Let's calculate the expected return first:

Expected Return = (Probability of Good × Stock A Return in Good) + (Probability of Medium × Stock A Return in Medium)

= (0.16 × 65.00%) + (0.51 × 17.00%)

= 10.40% + 8.67%

= 19.07%

Next, we calculate the squared deviations from the expected return for each outcome:

Deviation from Expected Return in Good = Stock A Return in Good - Expected Return

= 65.00% - 19.07%

= 45.93%

Deviation from Expected Return in Medium = Stock A Return in Medium - Expected Return

= 17.00% - 19.07%

= -2.07%

Now, we calculate the variance:

Variance = (Probability of Good × Squared Deviation in Good) + (Probability of Medium × Squared Deviation in Medium)

= (0.16 × (45.93%^2)) + (0.51 × (-2.07%^2))

= (0.16 × 0.2110) + (0.51 × 0.0428)

= 0.0338 + 0.0218

= 0.0556

Finally, we calculate the standard deviation, which is the square root of the variance:

Standard Deviation = √Variance

= √0.0556

= 0.2357 or approximately 23.57%

Therefore, the expected standard deviation of stock A's returns, based on the information presented in the table, is approximately 23.57%.

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The quadrilateral is a parallelogram so it is Yes.

If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:

The opposite sides are parallel and equal

The opposite angles are equal

The consecutive or adjacent angles are supplementary

If any one of the angles is a right angle, then all the other angles will be at right angle.

The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°

In conclusion, yes, the figure is a parallelogram.

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In a heap, the height is defined as the number of edges on the longest path from the root to a leaf node. The height of a heap with n elements is at most log₂(n+1).

To find the minimum and maximum numbers of elements in a heap of height h, we can use the formula:

The minimum number of elements in a heap of height h is 2^h (a complete binary tree of height h with the minimum number of nodes).

The maximum number of elements in a heap of height h is 2^(h+1) - 1 (a complete binary tree of height h with the maximum number of nodes).

Therefore, the minimum and maximum numbers of elements in a heap of height h are:

Minimum: 2^h

Maximum: 2^(h+1) - 1

Note that not all values of h are valid heap heights. A heap must be a complete binary tree, so its height can only take on values that satisfy the formula: \(h < = log₂(n+1),\)where n is the number of elements in the heap.

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The vertices of this triangle formed by these li9nes with x axis be,

(-1, 0) , (2, 3) and (4, 0)

The given lines are,

x−y+1=0

3x+2y−12=0.

Therefore, we can write,

 y = x + 1

 y = 6 - (3/2)x

Now plotting the graph,

of these lines we can see that,

These lines form a triangle with the x axis,

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Now the vertices of this triangle are,

(-1, 0) , (2, 3) and (4, 0)

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Answer:

the answer is 887621

hope this helps

have a great day ahead!

The perimeter of the regular hexagon is 42 inches.

Since a regular hexagon can be divided into six equilateral triangles, each triangle shares a side with the hexagon. Let's denote the perimeter of the hexagon as P.

Since the perimeter of one equilateral triangle is 21 inches, each side of the triangle has a length of 21/3 = 7 inches.

Since the hexagon consists of six equilateral triangles, it will have six sides, each of length 7 inches. Therefore, the perimeter of the hexagon is given by:

P = 6 * 7 = 42 inches.

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Answer:

(4, 4)

Step-by-step explanation:

Answer:

I MESSED UP ITS B.

Step-by-step explanation:

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

greater than 5 and less than 35

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is

difference of 2 sides < x < sum of 2 sides, that is

20 - 15 < x < 20 + 15

5 < x < 35

Thus the third side is greater than 5 and less than 35

Answer:

A 5 and B 35

Step-by-step explanation:

sides are 15 and 20 the third side has to be

grater than 20-15=5 and

less than 15+20 =35

because the third side has to be between the

diference of sides 1 and 2  < 3rd side < sum of side 1 and 2

The box of cereal now weighs approximately 0.9 pounds and 1.3 pounds.

To estimate the weight of the cereal in the box now, we must subtract the amount of cereal used during the week from the total weight of the box when Kiara bought it.

The total weight of the box when Kiara bought it is 1 7/16 pounds. To convert this fraction to a decimal, divide the numerator (7) by the denominator (16): 7/16 = 0.4375.

The amount of cereal used during the week is 1/2 of a pound. To convert this fraction to a decimal, divide the numerator (1) by the denominator (2): 1/2 = 0.5.

Subtract the amount of cereal used from the total weight of the box: 0.4375 - 0.5 = -0.0625.

Since the result is negative, we can approximate the weight of the cereal in the box now as 0.9 pounds. We can also round the result to the nearest hundredth: 0.4375 - 0.5 = -0.0625 = 0.94 pounds.

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Answer: Whole thing=20.5

First half (17,18,19,20)=18.5

Second half (21,24,25,27) = 24.5

Step-by-step explanation:

eliminate numbers on both sides till you get to the middle if there is an even number add up the two numbers in the middle and divide them by 2

For example, In the whole thing, you are left with 20 and 21 so

20+21 =41/2= 20.5

For example, In the first part, you are left with 18 and 19 so

18+19 =37/2= 18.5

For example, In the first part, you are left with 24 and 25 so

24+25 =49/2= 24.5

Colin purchases a package of pasta with 8 2/3 cups of spaghetti inside. He makes dinner with 2 1/2 cups. Pasta is down to 6 1/6 cups for Colin.

To find out how much pasta is left, we need to subtract the amount used from the total amount of pasta:

8 2/3 cups - 2 1/2 cups

First, we need to convert the mixed numbers to improper fractions, which will make it easier to subtract them:

8 2/3 = (8 x 3 + 2) / 3 = 26/3

2 1/2 = (2 x 2 + 1) / 2 = 5/2

Now we can subtract:

26/3 - 5/2

We must identify a common denominator in order to subtract fractions with various numerators. Since 3 and 2 have a least common denominator of 6, we can convert both fractions to have a denominator of 6:

26/3 = (26/3) x (2/2) = 52/6

5/2 = (5/2) x (3/3) = 15/6

Now we can subtract:

52/6 - 15/6 = 37/6

Therefore, Colin has 6 1/6 cups of pasta left.

When the numerator (the top number) exceeds the denominator (the bottom number), the fraction is said to be improper. This means that the fraction represents a value greater than one, and is often expressed as a mixed number (a whole number and a proper fraction).

Improper fractions are commonly used in math and can represent values in a variety of contexts, such as in measurements or in calculations. They can be added, subtracted, multiplied, and divided just like any other fraction. It is important to know how to convert improper fractions to mixed numbers and vice versa, as well as how to perform operations with them, in order to effectively solve mathematical problems.

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Answer:

25,661.5

Step-by-step explanation:

30160x15%=4528.50

30160-4528.50=25,661.50

Answer:

Question 2 = 15 drinks

Question 3 = 7/12

Step-by-step explanation:

Question 2:

For every drink, there are three sizes

Ratio = 1:3

There are 5 flavors

Multiply each side by 5

5:15

15 drinks

Question 3:

5 red, 6 yellow, 8 blue, 3 orange, 2 purple

Possible outcomes = 5 + 6 + 8 + 3 + 2 = 24 possible outcomes

Favourable outcomes = 6 + 8 = 14 favourable outcomes

Fraction = 14/24 = 7/12

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Answer:I don’t understand the question

Step-by-step explanation:

The quantity that maximizes profit is q = 50, and the corresponding profit is:

\(P(50) = -5(50)^2 + 500(50) - 10,000 = $125,000\)

The profit function P(q) is given by:

\(P(q) = R(q) - C(q) = 500q - (10,000 + 5q^2) = -5q^2 + 500q - 10,000\)

To find the quantity q that maximizes profit, we need to find the critical points of P(q) by taking the derivative and setting it equal to zero:

P'(q) = -10q + 500 = 0

Solving for q, we get:

q = 50

To confirm that this is a maximum and not a minimum, we can check the second derivative:

P''(q) = -10 < 0

Since the second derivative is negative at q = 50, this confirms that q = 50 is a maximum.

Therefore, the quantity that maximizes profit is q = 50, and the corresponding profit is:

\(P(50) = -5(50)^2 + 500(50) - 10,000 = $125,000\)

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Answer:

m=y2-y1 / x2-x1

m=15-20 / 1-0

m=-5 / 1

m=-5

y=mx+b

20=-5*0+b

20=0+b

20=b

y=-5x+20

Answer:

x: number of days

y: number of total pounds.

For 12 elephants, we have the expression is:

Then, for the given number of days, we have x = 5.

Substituting the value of x we have:

an expression to represent the number of pounds of food a herd of 12 elephants eat in 5 days is:

The find the answer for this particular question you would you would multiply 12 by 300 which is 3600, and you would then multiply that by 5 which is 18000

Answer: 21,000

Step-by-step explanation: 14 . 300 = 4,200

4,200 . 5 = 21,000

Answer:

-650ft

Step-by-step explanation:

I took a test with a question like that

1) 9, 7 , 13

Yes because the sum of the two smaller sides is greater than the third side.

2) 26 , 12 , 11

No because the sum of the two smaller sides is not greater than the third side.

3) 11, 2, 9

No because the sum of the two smaller sides is not greater than the third side.

4) 6,11,12

Yes because the sum of the two smaller sides is greater than the third side.

According to the Triangle Inequality Theorem, the total of any two sides in a triangle must be greater than the third side.

Two arcs in a triangle will only come together at their points of intersection if the sum of their radii is larger than the separation between their centers.

In a triangle, the difference between any two sides will be smaller than the third side if any two sides' sums are more than the third.

1) 9, 7 , 13

Yes because the sum of the two smaller sides is greater than the third side.

2) 26 , 12 , 11

No because the sum of the two smaller sides is not greater than the third side.

3) 11, 2, 9

No because the sum of the two smaller sides is not greater than the third side.

4) 6,11,12

Yes because the sum of the two smaller sides is greater than the third side.

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To find the 17th term of a geometric sequence, we need to determine the common ratio (r) first. We can do this by dividing the 5th term (a5) by the 1st term (a1):

r = a5 / a1 = 150 / 16 = 9.375

Now that we have the common ratio, we can use it to find the 17th term (a17). The formula to find the nth term of a geometric sequence is:

an = a1 * r^(n-1)

Plugging in the values, we have:

a17 = 16 * 9.375^(17-1)

Using a calculator, we can evaluate this expression to the nearest hundredth:

a17 ≈ 216,654.5

Therefore, the correct option is:

a17 ≈ 216,654.5

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Answer:

the answer is y= 5(0.25)^x or C

Step-by-step explanation:

Answer:

eqaution 1: Proportinal

eqaution 2:Proportinal

Step-by-step explanation:

Answer:

40 miles

Step-by-step explanation:

2.5 miles / .25 hours = 10 miles per hour

(10 miles per hour)(4 hours) = 40 miles

Answer:D

Step-by-step explanation:m represents the multiple choice questions, s represents short answer questions, and 15 represents the number of questions

Answer:

the answer would be S/ 2= 140/ 2 = 70°