A lap around the track is 1/4 of a mile. Josie completes a lap in 1.3 minutes. If she continues at the same pace, how long will it take her to complete
a mile? Express your answer as a decimal in simplified form..
minutes

Answer:

2-5 will give you -3 then 10 divide by -3 will give you 7

The value of the algebraic expression 11.5x + 10.9y  at x = 6 and y = 7 is 145.3

What is an algebraic expression?

Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division

The given algebraic expression is 11.5x + 10.9y

We have to find the value of the algebraic expression at x = 6 and y = 7

Putting x = 6 and y = 7 in the algebraic expression,

[tex]11.5 \times 6 + 10.9 \times 7[/tex]

69 + 76.3

145.3

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Liam has moved the variable 1x2 to the RHS and combined the like terms.

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Given, Liam is solving the equation for 'x' for the equation:

12x + 4 = 20x - 12.

Now the result of his first step is 4 = 8x - 12.

So, what he did is moved 12x to the RHS and combined the like terms which is,

4 = 20x - 12x - 12.

4 = 12x - 12.

We can also solve for 'x'  

4 = 12x - 12.

+ 12 + 4 = 12x.

16 = 12x.

x = 16/12.

x = 4/3.

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The charge per dozen donuts will be $18 according to the given ratio.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

Big bobs bakery charges $9 for 1/2 dozen donuts.

$9 for 1/2 dozen donuts

For one dozen,

$9 x 2 = $18

Hence "The above ratio will result in a fee of $18 for a dozen donuts.".

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The system of equations of Horatio's coins is (c) d = 2n, n + d + q = 57 and 0.05n + 0.10d + 0.25q = 7.25

From the question, we have the following parameters that can be used in our computation:

Number of coins = 57

Worth of coins = $7.25

Type of coins = Nickel, dimes and quarters

Twice as many dimes as nickels

Represent the nickels with n, the dimes with d and the quarters with q

So, we have the following representation

n + d + q = 57

When the nickels, dimes and quarters are converted to dollars, we have the following representations

Nickels = $0.05

Dimes = $0.10

Quarters = $0.25

So, we have the following representation

0.05n + 0.10d + 0.25q = 7.25

Recall that

He has twice as many dimes as nickels

This means that

d = 2n

Hence, the system of equations is d = 2n, n + d + q = 57 and 0.05n + 0.10d + 0.25q = 7.25

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The equation for circle is 28g + 16f =260

and the equation of tangent to this circle is y = [tex]\frac{6}{12}[/tex] x +29

a) the main equation of circle is ax + by +2gx+ 2fy +c =0     --------- (1)

Now,

putting the points (0,0) , (0,8) and (6,12) one by one, we get,

 For the point (0,0), we get:

                c =o            ----------------------------- (2)

For the point (6,12), we get:

   6x +12y + c = (6)² + (12)²

⇒ 6x +12y +c = 36 +144

⇒ 6x +12y +c = 180          --------------------------- (3)

For the point (0,8), we get,

8y + c = 64                      ----------------------------- (4)

putting c=0,

     8y +0 = 64

⇒ y =64/8

⇒ y = 8

Putting c=0 and y =8, we get,

    6x + 12×8 +0 = 180

⇒ 6x + 96 =180

⇒ 6x = 84

⇒ x = 14

Putting all the values in equation (1), we get:

    (14)² + (8)² +28g +16g + 0 = 0

⇒ 196 + 64 + 28g +16f =0

⇒ 28g + 16f = 260

b) As we know the tangent from the circle:

       y = mx + c

⇒ 8 = -12/6 × 14 +c

⇒ c = 29

Therefore, the equation of the tangent is y = [tex]\frac{6}{12}[/tex]x + 29

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Answer:

arrange them in a triangle shape, and there is a triangle

Step-by-step explanation:

1.2 x [tex]10^6[/tex] is 11.5 times smaller than 1.38 x [tex]10^7[/tex]

Option D is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1.2 x [tex]10^6[/tex] and 1.38 x [tex]10^7[/tex]

We see that,

1.2 x [tex]10^6[/tex] x 11.5 = 1.38 x [tex]10^7[/tex]

This means,

1.2 x [tex]10^6[/tex] is 11.5 times smaller than 1.38 x [tex]10^7[/tex]

Thus,

1.2 x [tex]10^6[/tex] is 11.5 times smaller than 1.38 x [tex]10^7[/tex]

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Answer:

To determine the number of people who can go to the amusement park, we need to write an inequality that represents the total cost of parking and admission, which is the maximum amount of money that the group has. Let x represent the number of people who can go to the amusement park. The total cost of parking and admission can be represented by the inequality 14.75 + 11.25x ≤ 80. To solve this inequality, we need to find the values of x that make the inequality true. We can do this by isolating the variable on one side of the inequality. To do this, we need to subtract 14.75 from both sides of the inequality: 14.75 + 11.25x ≤ 80

-14.75 -14.75

11.25x ≤ 65.25

Next, we need to divide both sides of the inequality by 11.25 to isolate the variable on one side of the inequality: 11.25x ≤ 65.25

x ≤ 5.77

Since the number of people must be a whole number, we can round down to find the maximum number of people who can go to the amusement park: x ≤ 5

This means that no more than 5 people can go to the amusement park if they want to stay within their budget.

Step-by-step explanation:

The domain value that are significant to the function ie distance the customer rides ; x ≥ 0

What is domain ?

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 domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values. The various output values are represented on the y-axis as the range.

the domain represents the number of miles a customer rides. since distance cannot be negative, the only significant values on this graph are x≥ 0.

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DSA is only used for signature purposes but RSA is used for cryptographic purposes.

But somehow DSA uses discrete logarithms for Encryption and in RSA long-term calculations are used which is more secure as compared to DSA.

Now while signing messages with DSA leads to a more time and more memory-consuming process because at every point the message is signed. So the verification of signatures gets complicated.

But in the case of RSA, the calculations are high, but they consume less memory and less need for verification. Because of large calculations, RSA is much slower than DSA.

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The equation of the line in slope-intercept form y = -1/2x + 6

The slope intercept form of a straight line is one of the most common ways to show the equation of a line. The slope intercept formula can be used to calculate the equation of a line when the y-intercept and slope of the straight line are known ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfils.

It is represented as y = mx + b

According to the given information

We are given that

Slope m = -1/2

y-intercept ( b ) = 6

Slope Intercept Form

y = mx + b

Putting the values in above equation

y = -1/2x + 6

The equation of the line in slope-intercept form y = -1/2x + 6

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Probability of getting 5 notifications in 30 minutes: 0.0625 and Probability of getting 10 or less notifications in one hour: 0.9961

Probability of getting 5 notifications in 30 minutes:

The average number of notifications per hour is 12, so the average number of notifications in 30 minutes is 6.

Therefore, the probability of getting 5 notifications in 30 minutes is

P(5 Notifications) = (6 C 5)*(1/2^6)

P(5 Notifications) = 0.0625

Probability of getting 10 or less notifications in one hour:

The probability of getting 10 or less notifications in one hour is the sum of the probabilities of getting 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 notifications in one hour.

We can calculate this probability as

P(≤ 10 Notifications) = (12 C 0)(1/2^12) + (12 C 1)(1/2^12) + (12 C 2)(1/2^12) + (12 C 3)(1/2^12) + (12 C 4)(1/2^12) + (12 C 5)(1/2^12) + (12 C 6)(1/2^12) + (12 C 7)(1/2^12) + (12 C 8)(1/2^12) + (12 C 9)(1/2^12) + (12 C 10)*(1/2^12)

P(≤ 10 Notifications) = 0.9961

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Answer: 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 2.

(10/16)/(5/16)=2

10/5=2

16/16=1

2/1=2

Answer:

2x

x-1

Step-by-step explanation:

The required volume of the cube is 439cm³.

A cube is a three-dimensional solid object in geometry that is surrounded by six square faces, facets, or sides, three of which meet at each vertex.

It seems to be a hexagon when viewed from a corner, and its net is frequently portrayed as a cross.

One of the five Platonic solids, the cube is the only regular hexahedron.

So, the cube volume formula:

V = a³

We have the length of the side of the cube which is 7.6.

Now, insert it in the formula as follows:

V = a³

V = 7.6³

V = 7.6 * 7.6 * 7.6

V = 438.976

Rounding off: 439cm³

Therefore, the required volume of the cube is 439cm³.

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Answer:

To find the percentage score for Jude, we need to divide the number of points scored by the total number of points and multiply the result by 100. This can be written as:

Percentage score for Jude = (10/35) * 100 = 28.57%

To find the percentage score for Tom, we need to divide the number of points scored by the total number of points and multiply the result by 100. This can be written as:

Percentage score for Tom = (18/46) * 100 = 39.13%

Since Tom scored a higher percentage of points compared to Jude, Tom got the highest score.

Answer:

9 pizzas

Step-by-step explanation:

Since there were 3 boxes which each 3 pizzas, you're gonna need to solve using an easy multiplication problem; 3*3, which is 9. So it's 9 pizzas

Answer:

-12 (?)

Step-by-step explanation:

You have to multiply to find out what Y =

3x-4

A positive x a negative = a negative number (the negative sign doesn't effect how you multiply only changes the answer to a negative)

3 x (-4) =

-12

so Y = -12 ( 3 x -4 )

The aforementioned postulates - ASA, SAS, SSS - are defined and explained below.

The given theorems are used in order to prove the congruency of triangles. If we are presented with a problem in which we are required to prove the congruency of two triangles, we can use these three postulates to prove it.

The three postulates are as thus -

SSS postulate: if 3 sides of the given triangles are equal, then the triangles are congruent.

SAS postulate: If 2 sides and an angle of the given triangles are equal, then the triangles are congruent.

ASA postulate: If 2 angles and a side (in the middle of the angles)of the given triangles are equal, then the triangles are congruent.

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Each prerequisite for a binomial variable is met in this circumstance, hence SSS has a binomial distribution.

In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and having its own Boolean-valued outcome: success (with probability p) or failure (with probability q=1-p). For a single trial, or n = 1, the binomial distribution is a Bernoulli distribution. A single success/failure experiment is also known as a Bernoulli trial or experiment, while a succession of results is known as a Bernoulli process. The widely used binomial statistical significance test is based on the binomial distribution.

True. Each trial has two possible results (it either lands on one side or it doesn't), each trial's findings are independent, there are a fixed number of trials (202020), and each trial has the same chance of success.

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The linear function that goes through the points (-1, 1) and (3,2) is defined as follows:

y = 0.5x + 1.5.

The slope-intercept of a linear function is given as follows:

y = mx + b.

In which:

The two points on the graph of the function are given as follows:

(-1,1) and (3,2).

Given two points, the slope is calculated as the change in y divided by the change in x, hence:

m = (2 - 1)/(3 - (-1)) = 2/4 = 0.5.

Hence:

y = 0.5x + b.

When x = -1, y = 1, hence the intercept b is obtained as follows:

1 = 0.5(-1) + b

b = 1.5.

Thus the equation is:

y = 0.5x + 1.5.

The problem is incomplete, hence I will suppose that it asks for the definition of the equation, which will help you find whichever the correct statements are.

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Answer:

I will gladly assist you with your problem! (see explanation)

Step-by-step explanation:

Suppose that the tower's height is t and that the necessary distance is x.

To determine the value of t, use comparable triangle ratios:

[tex]t / 10 = (9 + 3) / 3t / 10 = 4t = 40 feet[/tex]

Use Pythagorean Theorem  to find the value of x:  

[tex]x^{2} =40^{2} +(9+3)^{2} \\x^{2} =1600+144\\x^2=1744\\x=\sqrt{1744} \\x= 42 feet[/tex](answer is rounded)

(I hope this helps solve your problem )

The situations represented by 25/9 are "Melanie equally shares 25 meters of paper to create 9 banners" and "Joe makes 9 equal servings from a 25 ounce bag of peanuts".

Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.

We have the expression 25/9.

That means 25 divided in 9 equal parts.

Now the expression 1,

Melanie equally shares 25 meters of paper to create 9 banners.

We have to divide 25 meters of paper into 9 equal banners.

The above expression can be written as a mathematical term,

and that is 25/9.

Now the expression 2,

Quill gives away 9 baseball cards from a pack of 25.

In mathematical terms; 25 - 9.

Now the expression 3,

George invites 25 kids and 9 adults to his birthday party.

That means, the total 25 + 9 = 34 people

In mathematical terms : 25 + 9

Now the expression 4,

Becca creates 9 rows with 25 buttons each.

That means, each row has 25 buttons.

So the total 9 rows have 9 x 25 buttons.

In mathematical terms : 9 x 25

Now the expression 5,

Joe makes 9 equal servings from a 25 ounce bag of peanuts.

That means 25 ounce bag of peanuts equally divided into 9 parts.

In mathematical terms : 25/9

Therefore, expression 1 : Melanie equally shares 25 meters of paper to create 9 banners and expression 5: Joe makes 9 equal servings from a 25 ounce bag of peanuts, represented by 25/9.

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Total 12 gallons of fuel was burned

What is the relation between Time, Spped and Diatnce?

The formula speed distance time is used to describe the connection between speed, distance, and time. That is, speed = distance / time. To put it another way, distance divided by speed equals time. You can figure out the third input if you know the first two.

Solution:

10 gallons fuel is burned per hour

Distance Travelled by the Plane = 120 nautical miles

Speed of the Plane = 100 nautical miles per hours

Time = Distance / Speed

Time = 120 / 100 = 1.2 hours

Since 10 gallons of fuel is burned every hour, so total fuel burned in 1.2 hours is 12 gallons

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The sum of all possible values of N is 336.

What is an integer?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

Here, we have

Let the three integers be a, b, and c.

N = abc = 6(a + b + c) and c = a + b.

Then N = ab(a + b) = 6(a + b + a + b) = 12(a + b).

Since a and b are positive, ab = 12

so {a, b} is one of {1, 12}, {2, 6}, {3, 4}

a + b is one of 13, 8, 7

N is one of 12× 13 = 156, 12× 8 = 96, 12×7 = 84

156 + 96 + 84 = 336.

Hence, the sum of all possible values of N is 336.

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70% percentage of the original roland-morris score of 20 was improved to the final score of 6.

Given that,

We have to find what percentage of the original roland-morris score of 20 was improved to the final score of 6.

We know that,

The original roland-morris score of 20 was improved to the final score of 6.

The initial score = 20

Final Score = 6

The improvement is 20 - 6 = 14

So,

The percent improvement is (14/20)* 100 = 70%

Therefore, 70% percentage of the original roland-morris score of 20 was improved to the final score of 6.

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1) The price of part A is increasing by 3% per year.

2) Product A recorded a greater percentage change in price over the previous year.

The percentage change in price is calculated by the formula,

% change = (New price - old price)/old price × 100

If the difference between the new price and the old price is positive, then it is said to be increasing and if it is negative, it is said to be decreasing.

It is given that,

Maco is studying the change in the price of two products, A and B, over time.

Part A: For product A, the price in dollars is given by f(x) and the time is given by x.

I.e., f(x) = 0.69(1.03)ˣ

From this, product A has f(1) = 0.69(1.03)¹ = 0.71 and f(2) = 0.69(1.03)² = 0.73.

Then, the difference between f(2) and f(1) for product A is

f(2) - f(1) = 0.73 - 0.71 = 0.02

So, the % change of product A is increasing per year and it is

% increase = (f(2) - f(1))/f(1) × 100 = (0.02/0.71) × 100 = 2.89 ≅ 3%

Thus, the percentage of increase in product A is 3%.

Part B: For product B, the price in dollars is given by f(t) and the time is given by t.

I.e.,

t (in years)  -  1        2          3               4  

f(t) (price) - 10,100  10,201  10,303.01  10,406.04

From this, product B has f(1) = 10,100 and f(2) = 10,201

Then, the difference between f(2) and f(1) for product B is

f(2) - f(1) = 10,201 - 10,100 = 101

So, the % change of the product B is increasing per year and it is

% increase = (f(2) - f(1))/f(1) × 100 = (101/10100)× 100 = 1%

Therefore, product A has a greater percentage of increase than product B.

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