The currency in Argentina
is the Peso. The exchange
rate is approximately
$1 = 17 Pesos. At this rate,
how many Pesos would
you get for $15

Answer:

9p/2 OR 4.5p

Step-by-step explanation:

9/2 ×p = 9p/2

9/2 =4.5×p

= 4.5p

Answer:

Step-by-step explanation:

b. 1/2n-4

The expression  \(\frac{1}{2} n-4\) represents four less than half a number, n. The correct option is b.

The concept of an algebraic expression (or) a variable expression is considered as a set of terms that have been combined using operations like addition, subtraction, multiplication, and division.

The half a number, \(n\) means \(\frac{1}{2}n\) .

As we know four less than \(x\) is \(x-4\).

Then, four less than half a number will be \(\frac{1}{2} n-4\).

So, the expression represents four less than half a number, \(n\) is \(\frac{1}{2} n-4\).

This means the correct option is b. \(\frac{1}{2} n-4\).

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Answer:

cost price = $262.57

selling price = $302.48

Explanation:

The selling price is

Selling price = cost + markup

We know that markup is 15.2% of the cost price. Since the markup is $39.91,

dividing both sides by 0.152 gives

The selling price is

cost price + 15.2% of the cost price

= (100% + 15.2%) cost price

=115.2% cost price

Now, 115.2% of the cost price is

Hence the selling price is $302.48.

Therefore, to summerise,

cost price = $262.57

selling price = $302.48

Answer:

X\(\geq\)77

Step-by-step explanation:

Without decimal, 4 canisters need to buy for making 5 meatloafs for party or if answer in decimal values needed then it is 3.333 canisters.

From the provided data, we have

number of meatloafs = 5

Here we have need the cup measurements the number of meatloafs made per recipe and the net weight of canister.

net weight of the contents of 1 canister = 15 ounces

1 cup = 8 ounces

1.25 cups = 10 ounces

10 ounces of breadcrumbs makes 1 meatoafs.

but we made 5 meatloafs so, for 5 meatloaf needed breadcrumbs = 5×10

= 50

If we consider 4 canisters then

15ounces × 4 canisters = 60 ounces which are 10 more than the needed ( > 50 ounces.

and if we are consider 3 canisters then

15 ounces × 3 canisters = 45 ounces which is not enough.

So, we need 4 canisters of breadcrumbs and we will have 2/3 of a canister left over.

approximately 3.333 is a value of needed canisters in decimals values. If decimal values are not need ,i.e, whole are canisters are not partial then 4 canisters is right .

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Complete question:

you're planning on making 5 meatloafs for a party. you go to the store to buy breadcrumbs, and see they are sold by the canister. how many canisters do you need to buy?

First, determine what information you need to answer this question, then click here to display that info (along with other info).

How much breadcrumbs does the recipe call for? It calls for 1 1/4 cups of breadcrumbs. How many meatloafs does the recipe make? It makes 1 meatloaf.

How many servings does that recipe make? It says it serves 10.

How big is the canister? It is cylindrical, 3.5 inches across and 7 inches tall.

What is the net weight of the contents of 1 canister? 15 ounces.

How much does a canister cost? $2.39

How much does a cup of breadcrumbs weigh? I'm not sure, but maybe something from the nutritional label will help.

Thus, the combined Probability for choosing a letter from A to C and then rolling a 6-sided die is 1/52.

A sample space for the experiment is a collection of all such potential outcomes. In other terms, the sample space, which is typically represented by the letter S, is the collection or set of potential outcomes in a random experiment.

Probability = favourable outcome/ total outcome

Sample space for letters  = {A, B, C ,........Z} = 26 in numbers:

Sample  space for letters(A to C)  = {A, B, C} = 3 in  numbers.

Probability of chossing letters(A to C) = 3/26

Now,

Sample space for rolling 6 faced dice = {1, 2, 3, 4, 5, 6} = total 6 in number.

Probability for rolling a dice = 1/6

Now, combined Probability for choosing a letter from A to C and then rolling a 6-sided dice:

P = 3/26 * 1/6

P = 1/52

Thus, the combined Probability for choosing a letter from A to C and then rolling a 6-sided dice is 1/52.

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Answer:To evaluate the exponential expression 6(4+2)² - 32, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, we simplify the expression inside the parentheses:

4 + 2 = 6

Next, we square the result:

6² = 36

Now, we substitute the squared result back into the expression:

6(36) - 32

Next, we perform the multiplication:

6 * 36 = 216

Finally, we subtract 32:

216 - 32 = 184

Therefore, the value of the given exponential expression 6(4+2)² - 32 is 184.

Hi there!

The error in using the diagram to find x in the solving is that they only picked two angles and equated to 180° which is wrong. You'll find out that their final value for x contains a decimal point which should never be in angles.

The above diagram is a revolution (360°) or angle at a point, so all the angles have to be considered and equated to 360° and NOT 180°

Below is the corrected solving.

\(13x + 45 + 12x - 40 + 19x + 3 + 6x + 2 = 360\)

(reason: angles at a point = 360°)

Collect like terms, and make x the subject of formula.

\(⟹50x + 10 = 360\)

\(⟹50x = 360 - 10\)

\(⟹50x = 350\)

Now, divide both sides by 50 to find the value of x.

\( \frac{50x}{50} = \frac{350}{50} \)

Therefore:

\(x = 7\)

The number 390.0826 in an expanded form is 300 + 90 + 8/100 + 2/1000 + 6/10000

The number is given as:

390.0826

Next, we split the numbers:

This is done as follows:

390.0826 = 300 + 90 + 0.08 + 0.002 + 0.0006

Express the decimals as fractions

390.0826 = 300 + 90 + 8/100 + 2/1000 + 6/10000

Hence, the number 390.0826 in an expanded form is 300 + 90 + 8/100 + 2/1000 + 6/10000

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The Bayes' decision rule strategy is Buy.

Bayes' decision rule is used to choose between a set of mutually exclusive and collectively exhaustive outcomes based on the probabilities of those outcomes and their expenses. It chooses the decision alternative with the largest expected value. Bayes' decision rule specifies the following method for selecting between two mutually exclusive possibilities:

choose the one with the highest probability of being correct. Suppose we have two alternatives, A1 and A2, and we must select one. The outcomes O1, O2, and O3 may arise if we select A1, and outcomes O4, O5, and O6 may arise if we select A2, as shown in the given payoff table below:O1 O2 O3A1 r1 r2 r3A2 r4 r5 r6The procedure for using Bayes' rule is as follows:

Step 1: Calculate the likelihood ratios for each outcome. The likelihood ratio is the probability of the outcome given the chosen alternative divided by the probability of the outcome given the alternative not selected. For example, the likelihood ratio for O1 is as follows: r1/(r4 + r5 + r6).

Step 2: Estimate the prior probabilities of the alternatives (before any information is acquired). Assume that these are 50-50 probabilities unless more information is available. For example, if A1 and A2 are equally likely, their prior probabilities are both 0.50.

Step 3: Calculate the posterior probabilities of the alternatives given the observed outcome.

Bayes' theorem is used to calculate the posterior probabilities of the alternatives. The formula for Bayes' theorem is as follows: P(Ai|Oj) = (P(Oj|Ai)P(Ai))/ P(Oj)where P(Ai|Oj) is the posterior probability of Ai given Oj, P(Oj|Ai) is the likelihood of Oj given Ai, P(Ai) is the prior probability of Ai, and P(Oj) is the total probability of Oj, which is the sum of the likelihoods for the two alternatives.

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Answer:

A

Step-by-step explanation:

An irrational number is one in which it cannot be represented as a fraction.

A) pi - 42.25 cannot be expressed as a fraction

B) 5.2 can be expressed as 26/5

C) 0/3 is already expressed as a fraction

D) 4.37124 can be expressed as 437124/100000

Answer: Simplification of Fractions.

Step-by-step explanation:

Answer:

8.) -120

9.) -5

10.) -1

Step-by-step explanation:

8.)  ab - c

     5(-12) - 60

     -60 - 60 = -120

9.)   -10 - (-7) + 2 (3 - 4)

      -3 + 2(-1)

      -3 + (-2) = -5

10.) Add all the numbers up then divide by how many numbers there are.

The shape of the cross section of a triangular prism depends on how the plane intersects the prism. There are several possibilities:

If the plane passes through one of the triangular faces of the prism parallel to the base, the cross section will be a triangle with the same shape and size as the base.

If the plane intersects the prism parallel to one of the lateral faces, the cross section will be a parallelogram.

If the plane intersects the prism diagonally, cutting across the triangular faces and the lateral faces, the cross section will be an irregular polygon.

It's important to note that the specific shape of the cross section can vary based on the orientation and position of the plane relative to the prism. The given situations will determine the exact shape of the cross section.

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The rate of change is (-1)

To solve this, we need to look at graphic to know the values of the function f(x) when x is equal to 1 and 3.

Then we have two points of the graph: (1,6) and (3,4).

The rate of change between two points is:

In this case,

Note that its the same whatever coordinate put first:

But when you do the difference between the coordinates, make sure to respect the order: if you use the y coordinate of the point P minus the y coordinate of point Q, you must to do the same for the x coodinate; Px-Qx

If the area of the sheet is 14.5 square feet. Then the weight of the sheet of plywood will be 20.93 pounds.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

A sheet of plywood measuring 4 feet by 8 feet and weighing 46.2 pounds belongs to Mr. Ashton.

The weight of the sheet of plywood in the unit square foot is given as,

⇒ 46.2 / (4 x 8)

⇒ 1.44375

If the area of the sheet is 14.5 square feet. Then the weight of the sheet of plywood is given as,

⇒ 1.44375 x 14.5

⇒ 20.93 pounds

If the area of the sheet is 14.5 square feet. Then the weight of the sheet of plywood will be 20.93 pounds.

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Answer:

88

Step-by-step explanation:

8-1=7

    +3

18-8=10

       +3

31-18=13

        +3

47-31=16

          +3

66-47 = 19

             +3

x - 66 = 22

  +66   +66

x= 88

Function 1 has a greater slope.
Function 1 has a greater slope because its equation is in the form of y = mx + b, where m represents the slope. In this case, the slope of Function 1 is 2.5, which is greater than any of the slopes of Function 2.

To find the slope of Function 2, we need to calculate the change in y divided by the change in x between any two points on the table. However, since the y-values repeat in the table, it is not possible to determine a unique slope for Function 2.

Therefore, we can conclude that Function 1 has a greater slope than Function 2.



To determine which function has a greater slope, we first need to find the slope of each function.

For Function 1, the equation is given as y = (5/2)x + 2. The slope of this function is 5/2 or 2.5.

For Function 2, we need to find the slope using the given table. The slope of a function is defined as the change in y divided by the change in x. Using the table, we can find the slope between any two points. For example, between the points (0,0) and (1,1), the slope is (1-0)/(1-0) = 1. Similarly, between the points (1,1) and (2,2), the slope is (2-1)/(2-1) = 1. The slope is consistently 1 for this function.

Conclusion:
Since the slope of Function 1 (2.5) is greater than the slope of Function 2 (1), Function 1 has a greater slope.

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Answer:

dilation scale factor calculator maybe could help

Step-by-step explanation:

Answer:

y+1-1x

Step-by-step explanation:

.................

1. (4a - 5)+(3a + 6) = 7a + 1.
To solve, you simply combine the like terms (4a and 3a) to get 7a, and then combine the constants (-5 and 6) to get 1.

2. (6x + 9)+ (4x^2 - 7) = 4x^2 + 6x + 2.
To solve, you combine the like terms (6x and 4x^2) to get 4x^2 + 6x, and then combine the constants (9 and -7) to get 2.

3. (6xy + 2y + 6x) + (4xy - x) = 10xy + 2y + 6x - x = 10xy + 2y + 5x.
To solve, you combine the like terms (6xy and 4xy) to get 10xy, then combine the constants (2y and -x) to get 2y - x, and finally combine the like terms (6x and 5x) to get 11x. The final answer is 10xy + 2y + 5x.

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The x- coordinate of the vertex P is  -4  and the y coordinate is -3. The coordinates of the image of vertex P is thus,  (-4, -3).

Coordinates are numbers describing the position of a point or shape in a line or particular space. We can represent a line or shape in the space between number lines with both positive and negative coordinates.

The vertical axis in the number line is called y-axis and the horizontal axis is called the x- axis. The coordinate of a point is written as (x, y). The x, y represents the numbers on x-axis and y -axis touched at which the point lies in the graph.

For the given vertex P, the vertex lies on the point -4 on x-axis and on -3 in y axis. Hence, the coordinate of P is (-4, -3).

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Answer:

15

Step-by-step explanation:

$10 is only a one time fee, that means you will never have to pay 10 dollars again, but 15 dollars is the hourly rate, so each hour goes by, your charged 15 dollars so the answer is 15 dollars

Answer:

Horizontal compression by a factor of 2 followed by a vertical shift by positive 3

Step-by-step explanation:

a*f(k(x-d))+c

k=2

c=3

The number of ways in which they can line up to wait for the next available teller is 362880.

We want to know how many different ways there are to line up 9 people.

= 9×8×7×6×5×4×3×2×1

= 362880

Thus, the number of ways in which they can line up to wait for the next available teller is 362880.

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On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

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Answer:

-45

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.