Adam buys 4 pens and a ruler and pays £4.75 altogether.
Jack buys 2 pens and pays £1.98 altogether

How much does one ruler cost

48.76%

Compound interest describes interest on the principal plus interest.

Compound Interest Formula

The formula to find compound interest is \(A=P(1+\frac{r}{n})^{nt}\). In the formula:

We can plug in our information to find the rate.

Solving For Interest Rate

First, let's rewrite the equation with our information. Note that for simplicity I will write rounded values for each step, but in reality, no rounding should be done until the last step.

Then, simplify the exponent and divide both sides by 4700.

Take the 60th root of both sides.

Subtract 1 from both sides.

Finally, multiply both sides by 12.

This means that the rate is 0.04876. We can multiply this by 100 to get the rate as a percentage. The interest rate is 48.76%.

The social learning theory suggests that youth who socialize with friends who are highly delinquent will be more apt to be delinquent themselves.

The social learning theory, proposed by Albert Bandura, emphasizes the role of social interactions and observational learning in shaping behavior. According to this theory, individuals learn behaviors through the process of observing others and imitating their actions. In the context of delinquency, the theory suggests that youth who associate with friends who engage in delinquent behaviors are more likely to learn and adopt those behaviors themselves.

This is because they are exposed to models who engage in delinquency and may receive reinforcement or rewards for such behaviors. Through socialization and peer influence, youth internalize the behaviors and attitudes of their delinquent peers, leading to an increased likelihood of engaging in delinquent activities themselves.

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This means that we can find the number 3 in either 2 or 3 operations, depending on the steps taken during the binary search.

To find the number 3 located at the 1st position in the list {3, 37, 45, 57, 93, 120}, we can use binary search algorithm. In each step, we divide the list in half and check if the middle element is equal to 3. If not, we continue searching in the appropriate half until we find the number.

In this case, since the list has 6 elements, we can find the number 3 in at most log2(6) = 2.585 operations. This means that we can find the number 3 in either 2 or 3 operations, depending on the steps taken during the binary search.

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Answer:

30(D)

Step-by-step explanation:

38.48-26.94=11.54

11.54÷38.48×100

≈30

Answer:70

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

========================

Parallel lines have equal slopes, so its equation is in the form of:

Since it passes through the points (4 , - 5), find the value of the y-intercept b by substituting x- and y- coordinates into this equation:

The equation of the parallel line is:

The quantity that is 7 times the sum of 1/3 and 4/5 is equal to 119/15, considering the calculation of the sum and then multiplying it by 7.

To find a quantity that is 7 times as much as the sum of 1/3 and 4/5, we first need to calculate the sum of 1/3 and 4/5.

The sum of two fractions can be found by finding a common denominator and then adding the numerators:

1/3 + 4/5

To find a common denominator, we multiply the denominators together: 3 * 5 = 15.

Next, we need to adjust the fractions to have the common denominator:

(1/3) * (5/5) + (4/5) * (3/3)

= 5/15 + 12/15

Adding the numerators, we get:

= (5 + 12)/15

= 17/15

Now, to find a quantity that is 7 times as much as the sum, we multiply the sum by 7:

(17/15) * 7

= 119/15

Therefore, 7 times the sum of 1/3 and 4/5 is equal to 119/15.

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The dimensions that minimize the perimeter are 41.6, 41.6.

According to this statement

we have to find the dimensions of the given rectangle with the help of the area and perimeter of rectangle.  

So, For this purpose, we know that the

The area is given as:

A = 1728

Let the dimension be x and y.

A = xy = 1728

So, we have:

Make x the subject

x = 1728/y

Then

The perimeter is calculated as:

P = 2(x +y)

substitute x here then

P = 2(1728/y +y)

P = 3456/y + 2y

And differentiate it then

-3456/y^2 +2 = 0

Then

3456/y^2 = 2

2y^2 = 3456

y = 41.6 then find x

and x = 1728/41.6

x = 41.6.

So, The dimensions that minimize the perimeter are 41.6, 41.6

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Using Pythagorean Theorem, the length of the line segment from (-3, 10) to (4, -1) is 13 units.

Pythagorean theorem describes the relationship between the sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the two other side.

c² = a² + b²

Let a = vertical distance between the two points

b = horizontal distance between the two points

c = distance between the two points / length of line segment

Hence, c² = (|y₂ - y₁|)² + (|x₂ - x₁|)².

Substitute the values of x and y and solve for c.

c² = (|y₂ - y₁|)² + (|x₂ - x₁|)²

c² = (|-1 - 10|)² + (|4 - -3|)²

c² = (|-11|)² + (|7|)²

c² = 11² + 7²

c² = 121 + 49

c² = 170

c = 13.04

length of line segment ≅ 13 units

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Answer:

There are 2,520 unique permutations.

Step-by-step explanation:

When we have a set of N different elements, the total number of permutations is given by:

P = N! = N*(N - 1)*(N - 2)*...*(2)*(1)

Particularly, if out of these N elements, there are a given element that is repeated K times, then the permutations of these K elements actually do not add new unique permutations, then in that case the total number of unique permutations is:

P = N!/K!

And if we have another element that is repeated L times, then with the same reasoning than above, the total number of unique permutations is:

P = N!/(K!*L!)

Now, we have the set:

{C, E, A, S, E, L, E, S, S}

So we have a set of 9 letters, then:

N = 9

And, the letter S is repeated 3 times

The letter E is repeated 3 times

Then, using the above notation, we can define:

K = 3

L = 3

The total number of permutations is then:

\(P = \frac{9!}{3!*3!} = \frac{9*8*7*6*5*4*3*2*1}{3*2*1*3*2*1} = \frac{9*8*7*6*5*4}{3*2*1} = 2,520\)

So there are 2,520 unique permutations.

Answer:

4x(5 − x^2)

Step-by-step explanation:

20 − 4x^3

= 4x(5 − x^2)

The equivalent expression after taking a common factor is,

⇒ 2 (10 - 2x³)

What is Mathematical expression?

The combination of numbers and variables by using sign addition, subtraction, multiplication and division is called Mathematical expression.

Given that;

The expression is;

⇒ 20 - 4x³

Now, Take common factor as;

⇒ 20 - 4x³ = 2 × 10 - 2 × 2x³

                 = 2 (10 - 2x³)

Thus, The equivalent expression after taking a common factor is,

⇒ 2 (10 - 2x³)

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The statement is not true in general. The correct formula relating the second differential equations of y with respect to x and t is:

(d²y)/(dx²) = [(d²y)/(dt²)] / [(d²x)/(dt²)]

This formula is known as the Chain Rule for Second Derivatives, and it relates the rate of change of the slope of a curve with respect to x to the rate of change of the slope of the curve with respect to t. However, it is important to note that this formula only holds under certain conditions, such as when x is a function of t that is invertible and has a continuous derivative.

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Answer:

The answer is 2.

Step-by-step explanation:

Put the numbers in order, the one that appears most often is the mode.

Answer:

2

Step-by-step explanation:

Answer:

I would say A but I'm not sure

Step-by-step explanation:

Sry if I' m wrong <3

Answer:

Step-by-step explanation:

The lease value is D

-√(16) = -4 is the least

The number of pages that were sent or received beyond the 40 page limit under the plan was 70 pages.

Given that an online fax company, EFaxlt.com, has a customer plan where a subscriber pays a monthly subscription fee of $12.75 dollars and can send/receive 40 fax pages at no additional cost. For each page sent or received past the 40 page limit, the customer must pay an overage fee of $0.06 per page.

Let p be the number of pages that were sent or received beyond the 40 page limit under the plan. Thus, the total number of pages sent or received within the plan is (40 + p).Since the monthly bill under this plan comes out to be $16.47, the total cost, in dollars, to send p pages beyond the plan's monthly limit is given byC = 0.06p + 12.75= $16.47Therefore,0.06p + 12.75 = 16.47Solve for p,0.06p = 16.47 - 12.750.06p = 3.72p = 3.72/0.06p = 62

Therefore, the number of pages that were sent or received beyond the 40 page limit under the plan was 70 pages (p + 40)

The total number of pages that were sent or received beyond the plan's monthly limit was 70 pages.

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Answer:

3(1.14) + 2(0.75)

3.42 + 1.5

4.92 kg of flour

The perimeter of the floor on the scale drawing, in inches, is given as follows:

26 inches.

The perimeter of a rectangle of length l and width w is given by the equation presented as follows:

P = 2(l + w).

The scale is a proportion between the length in the drawing and the actual length of the rectangle.

For the scale, the length of 30 feet is represented by the length of 6 inches, hence the width of 35 feet is represented as follows:

35/5 = 7 feet.

Then the dimensions in inches are given as follows:

l = 6, w = 7.

Meaning that the perimeter of the rectangle is calculated as follows:

P = 2(6 + 7) = 2 x 13 = 26 inches.

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Answer:

87.5$ since 25% is 1/4 87.5 is 1/4

Step-by-step explanation:

To find parametric equations for the line tangent to the curve of the intersection of the surfaces at the given point, you can follow the steps below

Step 1: Find the equation for the curve of the  intersection of the surfaces to find the equation for the curve of intersection of the surfaces, we need to solve the given equations simultaneously

Equation 1: y = x^2Equation 2: z = x + substituting Equation 1 into Equation 2, we get:z = x + x^2

This is the equation for the curve of intersection of the surfaces.

Step 2: Differentiate the equation obtained in step 1 to get the slope of the tangent line at the given point

Differentiating the equation above with respect to x, we get dz/dx = 1 + 2xAt the given point (1,1,2), the slope of the tangent line is:dz/dx = 1 + 2(1) = 3

Step 3: Use the point and slope from step 2 to find the equation of the tangent line in point-slope formThe equation of the tangent line in point-slope form:y - 1 = 3(x - 1)

Step 4: Convert the point-slope form to parametric form if necessaryThe parametric equations of the tangent line are:x = t + 1y = 3t + 1z = 2t + 2Step 5: Write the main answer and conclusion according to the question givenMain answer: The parametric equations of the line tangent to the curve of intersection of the surfaces y = x^2 and z = x + y at the point (1,1,2) are:x = t + 1y = 3t + 1z = 2t + 2Conclusion: The parametric equations of the tangent line are x = t + 1, y = 3t + 1, z = 2t + 2.

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The solution for the given equation is y=(93-qa)/(q-67).

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is q⋅(a+y)=67y+93

Here, qa+qy=67y+93

qy-67y=93-qa

y(q-67)=93-qa

y=(93-qa)/(q-67)

Therefore, the solution for the given equation is y=(93-qa)/(q-67).

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The complexity, reliability, and context of the evidence collected are some of the reasons why it is not possible to define a simple analytical scheme that can be applied to all types of evidence.

There are several reasons why it is not possible to define a simple analytical scheme that can be applied to all types of evidence.

Firstly, different types of evidence require different analytical techniques, as they have varying degrees of complexity. For example, analyzing DNA evidence requires a different set of analytical tools compared to analyzing physical evidence like fingerprints or footprints.

Secondly, the reliability of the evidence also plays a significant role in the analytical scheme. Some types of evidence may be more subjective than others, and the interpretation of the results may be open to bias or misinterpretation. In such cases, a simple analytical scheme may not provide accurate or reliable results.

Finally, the context in which the evidence is collected also plays a crucial role in determining the analytical scheme. The location, timing, and circumstances of the evidence collection may affect the reliability and accuracy of the results. Therefore, a simple analytical scheme may not be able to accommodate all the variables and nuances of the evidence collected in different contexts.

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Mia collected the same number of pounds of aluminum cans as Zac, both collecting 4 pounds. Mia collected the same number of pounds of aluminum cans as Zac.

Here's the explanation:
Zac collected 4 pounds of aluminum cans.
Brittney collected 1 1/3 times as many pounds as Zac, which is (4 * 4/3) = 16/3 pounds.
Eduardo collected 7/8 as many pounds as Zac, which is (4 * 7/8) = 28/8 = 3.5 pounds.
Mia collected 7/7 as many pounds as Zac, which is (4 * 7/7) = 4 pounds.

To figure out who collected the same number of pounds of cans as Zac, we need to first determine how many pounds each person collected.

- Zac collected 4 pounds of aluminum cans.
- Brittney collected 1 1/3 times as many pounds as Zac. To find out how many pounds that is, we can multiply 4 by 1 1/3:

4 x 4/3 = 16/3 pounds

- Eduardo collected 7/8 as many pounds as Zac. To find out how many pounds that is, we can multiply 4 by 7/8:

4 x 7/8 = 3.5 pounds

- Mia collected 7/7 as many pounds as Zac (which is just the same as saying she collected the same amount). So, Mia collected 4 pounds of aluminum cans.

Therefore, the person who collected the same number of pounds of cans as Zac is Mia.
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Answer:

97 hope this helps;)

a

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

48: 1, 48, 2, 24, 3, 16, 4, 12, 6, 8

36: 1, 36, 2, 18, 3, 12, 4, 9, 6

GCF, aka maximo comun divisor = 12

Answer:

12 (lo siento si está mal)

Step-by-step explanation:

1. The inequality when the distance between 2 and 5 times a number is no less than 8 is 1. |5x−2|≥8

2. The correct option is A. Trey is not necessarily correct. He will need to ensure that the compass width remains the same for each arc drawn from P and R.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥  <  >   ≤.

The distance between 2 and 5 times a number is no less than 8.

Let the number be x

This will be |5x−2|≥8. The correct option is 1.

For the second question, it should be noted that Trey is not necessarily correct. He will need to ensure that the compass width remains the same for each arc drawn from P and R. The correct option is A.

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The domain of the function is{x | −4 < x < 6}.

A function's domain is the set of all potential inputs.

For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

What is range?

The statistical difference between the highest and lowest values for a given data collection is called the range.

For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3. It is possible to think of the range as the distance between the highest and lowest observation as a result.

the domain of the function is{x | −4 < x < 6} because

there is no restriction on x domain and range both are the set of real numbers.

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The statement "The functional dependency noted as A->B means that the value of A can be determined from the value of B" is false. In the context of databases and relational schema, functional dependencies are used to express constraints between attributes in a relation.  

False. The functional dependency noted as A->B means that the value of B can be determined from the value of A. In other words, A determines the value of B, and B is functionally dependent on A. This concept is important in database design as it helps to ensure that the data is organized in a logical and efficient manner.

By identifying functional dependencies, we can minimize data redundancy and ensure that the data is consistent and accurate. It also helps in the normalization process, which is a technique used to reduce data redundancy and ensure data integrity. Overall, understanding functional dependencies is essential for effective database design and management.

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