Hot dogs come 8 to a package. Buns come 6 to a package. What is the fewest number of packages of each you would have to buy so that you have exactly as many hot dogs as buns?
____packages of hot dogs; _____packages of buns

y = 4x -21  (again cool name btw) :)

y=4x-3 has slope = to the coefficient of the x term = 4

all parallel lines have the same slope.

y=4x + b, where b can be any real number, so just plug in the point (4,-5) into the general equation

y=4x+b = -5 = 4(4) + b

-5 = 16 + b

-21 = b

b = -21 = the y intercept, so the equation is

y=4x -21

Answer:

9

Step-by-step explanation:

2*3=6

so 3*3=9

Answer:

The correct option is (D).

Step-by-step explanation:

A one-to-one function can be defined such the every value of x corresponds to exactly one value of y.

That is:

x₁ → y₁

x₂ → y₂

x₃ → y₃

.

.

.

and so on.

Consider the graph.

From the graph it can be seen that for y = 0 and y = 2 there are multiple x coordinates.

So, the graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

According to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.

Given :

Draw the graph of the three lines in order to determine the function is one-one function or not.

The equation of the line passing through (-5,6) and (-2,0) is given by:

\(\dfrac{y-6}{x+5}=\dfrac{0-6}{-2+5}\)

\(\dfrac{y-6}{x+5}=\dfrac{-6}{3}\)

\(y-6=-2(x+5)\)

y + 2x + 4 = 0    --- (1)

The equation of the line passing through (-2,0) and (2,2) is given by:

\(\dfrac{y-0}{x+2}=\dfrac{2-0}{2+2}\)

2y = x + 2   ---- (2)

The equation of the line passing through (2,2) and (4,-2) is given by:

\(\dfrac{y-2}{x-2}=\dfrac{-2-2}{4-2}\)

y - 2 = -2(x - 2)

y + 2x = 6   ---- (3)

Now, with the help of these three equations, the graph of the three lines can be plotted. The Graph is attached below.

So, according to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.

Therefore, the correct option is D).

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Answer:

12

Step-by-step explanation:

2x - 6 = ?

x = 9

You substitute x for 9: the value of x.

2(9) - 6 = ?

2 * 9 = 18

18 - 6 = 12

So your answer is 12.

Hope it helps : )

Brainliest pleaseeee

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer: l = 2w + 5

Step-by-step explanation:

The length is five meters more than something. Since the 5 meters more than (addition) comes first, you know it's not going to be in parentheses and is instead going to precede the next term. Right now, your equation should look like

l = 5 + ?

Now, we get to "twice the width." This is the second term, the ? in the previous equation. Two times the width can just be written as 2w, so that's how you're going to express it. In the end, your final equation just comes out to

l = 5 + 2w

37 is at the 50th percentile in the given set of values.

To find the percentile of 37 in the given set of values, we need to count the number of values in the set that are less than or equal to 37, and then divide by the total number of values in the set.

The given set has 16 values, and there are 8 values that are less than or equal to 37.

So, the percentile of 37 is:

Percentile = (number of values below score / total number of values) × 100

Percentile = (8 / 16) × 100

Percentile = 50

Therefore, 37 is at the 50th percentile in the given set of values.

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It is clear from the diagram that,

⇒ (2x - 5) + (x + 5) = 180

⇒ (2x + x) + (5 - 5) = 180

⇒ 3x + 0 = 180

⇒ x = 180/3

⇒ x = 60°

◈ From the geometry of figure,

⇒ ㄥ6 = (2x - 5)

⇒ ㄥ6 = (2×60 - 5)

⇒ ㄥ6 = 120 - 5

⇒ ㄥ6 = 115°

This is a system of equation problem, so we will solve it as such.

               5g - 2h = -5

               7 = h - 4g --> h - 4g = 7 --> -4g + h = 7

                5g - 2h = -5  -- equation 1

                -4g + h = 7      -- equation 2

              (equation 2) * 2

              -8g + 2h = 14    -- equation 3

              (equation 3) + (equation 1)

              -3g = 9

               g = -3            -- equation 4

               plug (equation 4)'s value of g into (equation 2)

               -4(-3) + h = 7

                12 + h = 7

                h = -5

Thus g = -3 and h = -5

However, when we look at the problem, we see that (-5,-3) is the incorrect answer.

(-5,-3) is in the format (g,h)

Thus the answer must be in the format (h,g) to be correct

So the answer is (-3,-5)

Hope that helps!

The present value of the payment is: $25,015.42

Now, According to the question;

An annuity is series of equal annual payments or receipts made for a certain number of years.

A delayed annuity is that which the first cash flow occurs at a time later than year one.

A standard annuity is that which the first cash flow occurs a year from now.

An advanced annuity is that which first cash flow  occurs immediately or now.

$5,100 per where the first payment occurs in year 6 and end 20 years from today is an example of a delayed annuity.

Present Value = A ×( 1 - (1+r)^(-n))/r

                       = 5,100 × ( 1 - (1+0.079)^(-11))/0.079

                      = 36,586.01

Present Value = Future Value × (1 + r)^(-n)

Present Value = $ 36,586.01  × (1+0.079)^(-5)

Present value = $25,015.42

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Answer:

the sin of 285 is 0.77387

Step-by-step explanation:

Answer:

negtive square root of 2 minus square root of 6, over 4

Step-by-step explanation:

plato

The problem involves a group of 43 students applying for a scholarship, where 6 students are accepted and the rest are rejected. The task is to determine the probability that two randomly selected applications, chosen in succession, both belong to the accepted group.

In order to calculate the probability of both selected applications being accepted, we need to consider the total number of possible outcomes and the number of favorable outcomes.

First, let's find the total number of possible outcomes. When two applications are selected in succession, the first selection can be any of the 43 applications, and the second selection can be any of the remaining 42 applications. Therefore, the total number of possible outcomes is 43 multiplied by 42, which equals 1,806.

Next, let's determine the number of favorable outcomes. Since 6 applications were accepted, the first selected application can be any of the 6 accepted applications, and the second selected application can also be any of the remaining 5 accepted applications. Therefore, the number of favorable outcomes is 6 multiplied by 5, which equals 30.

Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes. Therefore, the probability that both selected applications were accepted is 30 divided by 1,806, which can be simplified to approximately 0.0166, rounding to four decimal places.

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A Helmholtz coil is designed to create a relatively uniform magnetic field between the two coils. To find the magnetic field at the midpoint between the coils, we can use the Biot-Savart law, which calculates the magnetic field produced by a current-carrying wire.

Step 1: Define the position of the coils
Let's define the positions of the coils as y1 = -r/2 and y2 = r/2. This places the midpoint between the coils at the origin (0, 0).

Step 2: Use the Biot-Savart law
The Biot-Savart law states that the magnetic field dB produced by a small segment of wire is given by:

dB = (μ₀ * i * dl × r') / (4π * |r'|³)

where μ₀ is the permeability of free space, i is the current in the wire, dl is the length of the wire segment, and r' is the vector from the wire segment to the point where we want to calculate the magnetic field.

Step 3: Calculate the magnetic field for each coil
Integrate the magnetic field dB along the entire circumference of each coil to find the total magnetic field B produced by each coil.

Step 4: Add the magnetic fields from both coils
Since the two coils have the same current and are symmetric about the y-axis, their magnetic fields at the midpoint will add up. Add the magnetic fields from both coils to find the total magnetic field B_total at the midpoint:

B_total = B1 + B2

By following these steps, you can calculate the magnetic field at the midpoint between the two Helmholtz coils along the y-axis.

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The angle in the fourth quadrant associated with trigonometric function is 314.415°. The exact values of the six trigonometric functions are listed below:

In this problem we find the exact form of a trigonometric function and the related quadrant on a Cartesian plane. By definition of the sine function and the features of the sine, the exact value has the following form and conditions:

y / √(x² + y²) = - 5 / 7, x > 0, y < 0

Then,

y = - 5, √(x² + y²) = 7

√[x² + (- 5)²] = 7

x² + 25 = 49

x² = 24

x = √24

x = 2√6

Then, the angle associated to the trigonometric function is:

θ = tan⁻¹ (y / x)

θ = tan⁻¹ (- 5 / 2√6)

θ ≈ 314.415°

And the five other trigonometric functions are:

cos θ = 2√6 / 7

tan θ = - 5 / 2√6

cot θ = - 2√6 / 5

sec θ = 7 / 2√6

csc θ = - 7 / 5

The angle associated with trigonometric function is 314.415°.

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Answer:

First, you need to calculate your grade in percentages. The total answers count 70 - it's 100%, so we to get a 1% value, divide 70 by 100 to get 0.70. Next, calculate the percentage of 15: divide 15 by 1% value (0.70), and you get 21.43% - it's your percentage grade.

Step-by-step explanation:

Probability to choose an even numbered squares is 2/3.

Given that there are 6 squares in the bag.

They are numbered as 255, 256, 260, 263, 264, 270.

Even numbered squares are 256, 260, 264, 270

Here number of even numbered squares is = 4

So the according to definition the probability to choose an even numbered squares from the bag is = 4/6 = 2/3.

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Answer:

balls

Step-by-step explanation:

balls

Answer:

5.6

Step-by-step explanation:

11*7=77

11.8*7= 82.6

82.6-77=5.6

9514 1404 393

Answer:

  x + y = 60

Step-by-step explanation:

Vertical angles are congruent.

Equation/Solution for x:

  85 = 3x +55

  30 = 3x . . . . . . subtract 55 from both sides

  10 = x . . . . . . . divide both sides by 3

Equation/Solution for y:

  95 = 2y -5

  100 = 2y . . . . add 5 to both sides

  50 = y . . . . . . divide both sides by 2

The objective:

  x + y = 10 + 50

  x + y = 60

Answer:√2/2

Step-by-step explanation:

Let's label the sides of the right triangle as follows:

The side adjacent to the angle θ (cosine is adjacent/hypotenuse): 6

The hypotenuse (the longest side): 6√2

The side opposite to the angle θ (sine is opposite/hypotenuse): 6√3

Using the Pythagorean theorem, we can find the length of the missing side:

a² + b² = c²

6² + (6√3)² = (6√2)²

36 + 108 = 72

144 = 72

√144 = √72

12 = 6√2

Now that we know the length of all three sides, we can use the cosine ratio to find the value of cos(θ):

cos(θ) = adjacent/hypotenuse = 6/6√2 = √2/2

Therefore, the value of cos(θ) in the right triangle with sides of 6, 6√2, and 6√3 is √2/2.

Answer:

2/12

Step-by-step explanation:

The centipede that Maria measured was 1 1/12 inches long. If you convert this to an improper fraction it is equal to 13/12 inches. Now to find how much longer Maria's centipede was than Jeromes, you just take 11/12 and minus it from 13/12 which is equal to 2/12 of an inch.

a. 44.4% of the time each service desk is idle.

b. The probability that both service clerks are busy is 0.22 or 22%.

c. The probability that both service clerks are idle is 11.1%.

d. On average, 0.67 customers are waiting in line in front of each service desk.

e. A customer takes, on average, 5.33 minutes to get serviced from the moment they join the queue (i.e., waiting plus service time).

a) The arrival rate is 1 customer every 6 minutes. Therefore, 10 customers arrive at each service desk every hour. The service rate is 1 customer every 4 minutes, which means that a service desk can handle 15 customers every hour.

The utilization rate of each service desk = arrival rate/service rate = (10/60) ÷ (15/60) = 2/3 Average number of customers in the system at any time (queue + service) = utilization/(1 - utilization) = (2/3)/(1 - 2/3) = 2

Therefore, the average number of customers in the queue is the average number of customers in the system minus the average number of customers in service:Average number of customers in the queue = 2 - 2 = 0

Therefore, each service desk is idle for 60% - 15.6% = 44.4% of the time.

b) The probability of a service desk being busy is equal to its utilization rate = 2/3.

Therefore, the probability of both service clerks being busy is:P(both busy) = (2/3)² = 4/9 = 0.44

c) The probability of a service desk being idle is equal to 1 - utilization rate = 1 - 2/3 = 1/3.

Therefore, the probability of both service clerks being idle is:P(both idle) = (1/3)² = 1/9 = 0.11 or 11%.

d) We can use Little's Law to calculate the average number of customers in the queue:

Average number of customers in the queue = arrival rate x average waiting time in queue Average waiting time in queue = average number of customers in queue / arrival rate = 0 / (10/60) = 0 Average number of customers in the queue = 0 Therefore, on average, 0.67 customers are waiting in line in front of each service desk.

e) The average time a customer spends in the system (waiting + service) is equal to the average number of customers in the system divided by the arrival rate:

Average time in system = average number of customers in system / arrival rate Average number of customers in system = utilization/(1 - utilization) = (2/3)/(1 - 2/3) = 2 Average time in system = 2 / (10/60) = 12/10 = 1.2 minutes = 72 seconds The service time is 4 minutes. Therefore, the average waiting time is:

Average waiting time = average time in system - service time = 1.2 - 4 = -2.8 minutes We can't have negative waiting time, so the actual waiting time is 0.

Therefore, a customer takes, on average, 5.33 minutes (4 minutes of service + 1.33 minutes of waiting) to get serviced from the moment they join the queue.

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Answer:

825 people

Step-by-step explanation:

In the City where the election came up, 33% of the eligible voters voted

It is observed that there are 2500 eligible voters approximately.

The people who voted in 2012 is =

33/100 * 2500

=825 People

In 2012, the total number of people who voted in the city is 825 people

Answer:

See below

Step-by-step explanation:

Start out -20     and change 0° ?

then there is zero slope as this would be a horizontal line.

Answer:

x = 12

Step-by-step explanation:

5(x-4) = 3x+4

5x-4*5 = 3x+4

5x-20 = 3x+4

5x-3x = 4+20

2x = 24

x = 24/2

x = 12

Using translation concepts, the transformation is given as follows:

a) Polygon A has been translated down then right.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the orientation of the polygon is the same, hence there was no rotation nor reflection, which means that option A is correct.

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Option A is the correct answer. Ellora wants to accumulate 150,000 in an RRSP by making annual contributions of 5,000 at the beginning of each year. If interest is 5.5% compounded quarterly, calculate how long she has to make contributions.

First, we have to find the interest rate per quarter, which will be
\(5.5% / 4\)= 1.375%.
The formula for the future value of an annuity is: 
\(FV = (C * [(1 + r)^n - 1] / r)\),

For Ellora, \(FV = $150,000, C = $5,000, and r = 1.375%.\)
Substituting these values into the formula gives:
\(150,000 = 5,000 * [(1 + 0.01375)^n - 1] / 0.01375\)
Simplifying this equation gives:
\(30 = [(1.01375)^n - 1]\)

We can solve this using logarithms:
\(ln 30 = ln [(1.01375)^n - 1]\)
\(ln 30 = n * ln 1.01375 - ln 1.01375e^(ln 30) / e^(-ln 1.01375) = n18.202125 = n\)

Therefore, it will take Ellora 18.202125 years to accumulate 150,000 in her RRSP through \($5,000\)annual contributions made at the beginning of each year with interest of \(5.5%\) compounded quarterly.

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