Logan is selling dog tags to raise money for the dog rescue organization. Th e company that makes the tags charges a fl at fee of $348 plus $2 per tag. Logan plans to sell the tags for $5 each. a) Write an equation to show the total cost for the dog tags. b) Write an equation to show the revenue. c) How many dog tags must Logan sell in order to break even?

The probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is ;

Pr(C & fewer than 3) = 0.1985

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Here, we are required to find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years.

Let Pr(C) be the number of consumers who believe that cash will be obsolete in the next 20 years.

Therefore, since 39.7% believe so,

Pr(C) = 39.7/100 = 0.397

If 6 consumers are selected randomly, the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years will be;

Probability of 2 out 6 to believe so or Probability of 1 out of 6 to believe so.

Pr(2/6) + Pr (1/6)

Therefore the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is;

Pr (fewer than 3) = (2/6) + (1/6)

Pr (fewer than 3) = 3/6

Therefore, the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is ;

Pr(C) × Pr (fewer than 3)

i.e 0.397 × (3/6) = 0.1985

Therefore, the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years is ;

Pr(C & fewer than 3) = 0.1985

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To boost the level of trust in the forecasted values, a balancing point must be attained.

The two phrases confidence interval and precision are intended to provide an accurate estimate of an object's measurability. We can compromise on the confidence level if the precision rises, but if the confidence level rises, the precision of the anticipated value likewise deteriorates.

Therefore, a balance point between these two variables must be reached in order to improve our confidence in the numbers being forecasted without compromising an accurate evaluation of accuracy. ensuring that accuracy and confidence are both upheld.

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Answer:

Step-by-step explanation:

1. Area for triangle. Base* Height/2

Here the base it 13 units and height is 11 units. Apply to the formula:

13*11/2=

71.5 sq units

2. Answer: 71.5 sq units

The number of small boxes sent is 7 and the number of large boxes sent is 8  .

In the question ,

it is given that ,

the number of books that a small box can hold = 25 books

the number of books that a large box can hold = 35 books .

let the number of small boxes be "s" ,

So , the total number of books in s boxes will be 25s .

since the total number of boxes given is 15 ,

So , the number of large boxes = 15 - s

So , the number of books in the (15-s) large boxes  = 35(15-s),

also given that total books altogether = 455 ,

According to the question ,

the equation becomes

25s + 35(15-s) = 455

25s + 35*15 - 35s = 455

525 - 10s = 455

10s = 525 - 455

10s = 70

s = 70/10

s = 7 boxes

and large boxes = 15 - 7 = 8 boxes .

Therefore , The number of small boxes sent is 7 and the number of large boxes sent is 8  .

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After solving the value of x is 14.048.

Given:

KM represents an angle bisector.

Let y be the length of KM.

From the figure:

[tex]12.3^{2} = 5.4^{2} +y^{2}[/tex]

151.29 - 29.16 = [tex]y^{2}[/tex]

130.13 = [tex]y^{2}[/tex]

y = 11.407

[tex]x^{2} =8.2^{2} +11.407^{2}[/tex]

= 67.24 + 130.13

= [tex]\sqrt{197.37}[/tex]

x = 14.048.

Therefore After solving the value of x is 14.048.

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Answer:

y = -6x - 50

Step-by-step explanation:

y = mx + b

Since it is perpendicular to y=1/6, the slope is -6. (Opposite reciprocal)

y = -6x + b.

Substitute to get: -2 = 48 + b

b = -50

y = -6x - 50

Answer:

$1.50

Step-by-step explanation:

first, find the unit rate which is 0.3 (7.2/24)

then multiply that by 5

The cost of a box of pasta is $2. 64, then what will you be charged for pasta this week is $1,125.

The average cost, or how much it generally costs to produce a unit, can be discovered using the cost function. The average cost function is defined as A(x)=C(x)x, where x > 0. The average cost per unit is calculated by dividing the total cost by the number of units produced.

Given,

Your ending inventories this week for pasta were 35, 41, 32, 19, and 47 boxes. You par value is 120 and a supplier comes each night.

Par level = [(120 - 35) + (120 - 41) + (120 - 32) + (120 - 19) + (120 - 47)]

Par level = [85 + 79 + 88 + 101 + 73]

Par level = 426 units.

Charges = par level × cost

Charges = 426 × 2.64

Charges = 1,124.64

Charges ≈ $1,125

The cost of a box of pasta is $2. 64, then what will you be charged for pasta this week is $1,125.

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Answer:

Step-by-step explanation:

500(108)=54000 i may not be right

The solution of the system of the equations are; x =  -2/3, y = -1/2 and z = 1.

An equation is an expression that shows the relationship between two or more numbers and variables.

The system of equation is given by;

3x − 4y + z = 2 ---- (1)

−9x + 12y − 3z = − 6 -------(2)

4x − 2y − z = -16  -----(3)

Now we add equations 1 from equation 3;

(3x − 4y + z ) + (4x − 2y − z ) =  2 -16

7x - 6y = -14 -----(4)

Further we multiply equation 3 by 3 and subtract from equation 2;

3(4x − 2y − z) - (−9x + 12y − 3z ) = -48 + 6

12x - 6y - 3z + 9x - 12y + 3z = 42

21x  - 18y = 42-----(5)

Now we multiply equation 4 by 3 and add it to equation 4

3(-3x + 3z) + (9x + 4z) = 5×3 - 2

-9x + 9z + 9x + 4z = 15 -2

13z = 13

z = 1

Now we put z = 1 in equation number 5

-3x + 3×1 = 5

-3x + 3 = 5

-3x = 5 - 3

-3x = 2

x = -2/3

y = -1/2

Therefore, the solution of the system of the equations are; x =  -2/3, y = -1/2 and z = 1.

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The mean will be increased by 2, and the standard deviation will remain the same (option D).

The first step is to determine the initial mean and standard deviation of the data.

Mean is the average of a set of numbers.

Mean = sum of numbers / total number in the data

(2 + 3 +3 + 5 + 5 + 6) / 6

24 / 6 = 4

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. It is a measure of variation.

Standard deviation of the initial data = √[{(2 - 4)² + (3 -4)² + (3 - 4)² + (5 - 4)² + (5 - 4)² + (6 - 4)²} / 6] = 1.414

Now, determine the mean and the standard deviation of the new data

New data : (2 + 2 =4)

3 + 2 = 5

3 + 2 = 5

5 + 2 = 7

5 + 2 = 7

6 + 2 = 8

Mean = (4 + 5 + 5 + 7 + 7 + 8) / 6 = 6

Standard deviation = √[{(4 - 6)² + (5 - 6)²+ (5 - 6)² + (7 - 6)² + (7 - 6)² + (8 - 6)²} / 6] = 1.41

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As per the given tax percent deduction from Marquis gross pay of $816 , the gross pay is reduced by $174.66.

As given in the question,

Gross pay taken by Marquis is equal to $816

Items withheld from Marquis gross pay are as follow:

1. Federal tax = $92

2. Social security tax = 6.2% of gross pay

6.2% of 816

= (6.2/100) × 816

= $50.592

3. Medicare tax = 1.45% of gross pay

= 1.45% of 816

= (1.45/100) × 816

= $11.832

4. State tax = 22% of federal tax

= 22% of 92

= ( 22 /100) × 92

= $20.24

Total reduced tax amount from Marquis gross pay

= $ ( 92 + 50.592 + 11.832 +20.24 )

= $ 174.664

≈ $174.66

Therefore,  for the given tax percent deduction from Marquis gross pay of $816 , the gross pay is reduced by $174.66.

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The equation that relates the number of triangles in the figure (n) to the perimeter of the figure (P) is P = 5n + 14.

We are given triangles. The triangles are arranged in a certain pattern. We need to find the relationship between the number of triangles and the perimeter of the figure. Let the perimeter of the figure having "n" number of triangles be represented by the variable "P(n)".

P(1) = 24

P(2) = 30

P(3) = 36

There is an increase of 6 units in the perimeter with every addition of a triangle. We can see and continue the pattern. The relationship between the perimeter and the number of triangles is given below.

P(n) = 18 + 6n

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Answer:

oh no

Step-by-step explanation:

The slope intercept form of equation of required line is

[tex]y = \frac{3}{2}x + \frac{1}{2}[/tex]

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex]  is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m =  [tex]tan\theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

Slope of the line = 1.5

The line passes through (21, 32)

Equation of required line =

[tex]y - 32 = 1.5(x - 21)\\y - 32 = \frac{3}{2}(x - 21)\\2y - 64 = 3x - 63\\2y = 3x - 63 + 64\\2y = 3x + 1\\y = \frac{3}{2}x + \frac{1}{2}[/tex]

Putting x = 1 on the line,

[tex]\frac{3}{2} \times 1 + \frac{1}{2}\\[/tex]

[tex]\frac{3 + 1}{2}\\\\\frac{4}{2}\\\\2[/tex]

(1, 2) is coordinate of another point on the line

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Answer: 12

Step-by-step explanation: multiply it all together then divide it by the product.

The value x is 1 and y is 3.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x+ y = 4

y= 3x

Now solving above equations

x+ 3x = 4

4x = 4

x= 1

and, y = 3x = 3

Hence, the value x is 1 and y is 3.

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the 30% increase is 1,500 comments made on the website.

A music video website received 5,000 comments on a new song they released.

The next day, the artist performed the song on television and an additional 1,500 comments were made on the website.

As we know,

The percentage increase = [(increase value)/(old value)]x100

Divide the increase by the beginning number and multiply by 100 to determine the percentage increase between two numbers:

Increase value = 1500

old value =5000

Percent of increase = (1500/5000)x100

Percent of increase = 0.3x100

Percent of increase = 30%

30% if the next day, the artist performed.

In mathematics, a percentage is various or a ratio expressed as a fragment of one hundred. it is often denoted the use of the percent sign, "%", despite the fact that the abbreviations "pct.", "pct" and sometimes "laptop" is also used. A percent is a dimensionless wide variety; it has no unit of measurement. The calculation of chances is done and taught in special approaches relying on the stipulations and necessities. in this manner, the same old formulas can be acquired with proportions, which saves them from having to remember them. In so-referred to as intellectual arithmetic.

This unfastened percent calculator computes some of the values related to possibilities, consisting of the sharp distinction between two given values. percentages are essentially fractions where the denominator is 100. to reveal that a number is a percentage, we use the percent image (%) besides the range. as instance, if you purchased seventy-five questions proper out of a hundred on a check (seventy-five/100), you would have scored 75%.

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The greatest numbers of these rectangles that can be cut from a piece of paper with width 24 and length 60 is 360 which is option D.

Given:

A rectangle with integer side length has perimeter 10.

If the perimeter of rectangle 2(l+b) = 10

l+b = 10/2

l+b = 5.

Two choices:

1. 2 * 3 rectangle of area 6

2. 1 * 4 rectangle of area 4

The piece of paper has area 24×60 = 1440

This can be divided into rectangles with sides 2×3:

= 24/2 * 60/3

= 12*20

= 240

It can be divided into rectangles with sides 1×4:

= 24/1 * 60/4

= 24*15

= 360

Therefore the greatest numbers of these rectangles that can be cut from a piece of paper with width 24 and length 60 is 360 which is option D.

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Using the given information, the volume of the given rectangle is 6/125 cubic units

From the question, we are to determine the volume of the given rectangle.

From the given information,

The dimension of the rectangle is 1/5 by 2/5 by 3/5

To determine the volume of the rectangle, we will determine the product of the length of the sides of the rectangle.

That is,

Volume of the rectangle = 1/5 × 2/5 × 3/5

Volume of the rectangle = 1 ×2×3 / 5×5×5

Volume of the rectangle = 6/125

Hence, the volume is 6/125 cubic units

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Answer:

Step-by-step explanation:

The value of x= 110 degrees as it is corresponding to the angle equal to 110 degrees.

Answer:

4 × v = 60

= 15

Step-by-step explanation:

v represents Victor's savings

4 × v = 60

4v = 60

Divide both sides by 4v

v = 60/4

v = 15

The unit rate of the Coca-Cola is $ 1.032 and the unit rate of the Pepsi is $ 1.245.

Given, cost of Coca-Cola is

$1.29 for 1.25L

and cost of Pepsi is

$2.49 for 2L

we have to find the unit rate of each of the following,

As, the cost of Coca-Cola is

$1.29 for 1.25L

$1.29 = 1.25L

1 L = 1.29/1.25

1 L = $ 1.032

Now, the cost of Pepsi is

$2.49 for 2L

$2.49 = 2L

1 L = 2.49/2

1 L = $ 1.245

Hence, the unit rate of the Coca-Cola is $ 1.032 and the unit rate of the Pepsi is $ 1.245.

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The number of standard deviations a score has from the population mean is measured by the z-score, also known as the standard score.

The range of the z-scores is from 3 to 3 on the normal distribution curve, and values outside of this range are called outliers. The z-score's formula is as follows:

Z=X-μ/σ

First, convert the given X value into a Z-score. Keep in mind that equals 50 and equals 360.As a result,

Z = 400-360/50 = 0.80

A measure of how dispersed the data are in relation to the mean is called the standard deviation (or ).Data with a low standard deviation are grouped around the mean, while data with a high standard deviation are more dispersed.

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Answer:

Mikhail is 42 years old

Step-by-step explanation:

Answer: ? = 50, same side interior angles

? = 84, alternate interior angles

Step-by-step explanation:

130 + x = 180

-130   =    -130

x = 50

alternate interior angles are congruent

50° is the value of the missing angle.

Since u and v lines are parallel so the angle asked and the angle with the value of 130° are alternate interior angle.

Alternate interior angles have the following characteristics:

Therefore,

x+130 = 180

x =180-130

x =50°

therefore, the missing angle is 50°.

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30 cars of the delivery company use petrol.

According to the question,

We have the following information:

A delivery company has a total of 160 cars and vans.

The number of cars: the number of vans = 3:7

1/8 of the cars use electricity.

25% of the cars use diesel and rest use petrol.

Let's take the number of cars to be 3x and the number of vans to be 7x.

3x+7x = 160

10x = 160

x = 160/10

x = 16

Number of cars = 3*16

Number of cars = 48

Now, cars that use electricity:

1*48/8

6 cars

Cars that use diesel:

25*48/100

12 cars

Cars that use petrol:

Total number of cars-(number of cars that use electricity and diesel)

48-(6+12)

48-18

30 cars

Hence, 30 cars of the delivery company use petrol.

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Answer:

I don't know I just got the app

Step-by-step explanation:

; /

Required inequalities are 0.20x=1.20, 0.10y = 1.20 and 0.20x + 0.10y = 1.20. Combination of fruits open to Kojo are (6,0), (1,10), (2,8), (3,6), (4,4), (5,2), (0,12)

Given,

Kojo is given $1.20 to buy some peaches and apples. Peaches cost 20c each, apples 10c each.

He is told to buy at least 6 individual fruits, but he must not buy more apples than peaches.

Let x be the number of peaches Kojo buys.

Let y be the number of apples Kojo buys.

(a)Since Kojo has $1.20 to buy peaches and apples; and each peach and apple costs 20c and 10c respectively.

We have the following inequalitites:

0.20x = 1.20

0.10y = 1.20

0.20x + 0.10y = 1.20

(b)Possible combinations of fruits are as follows:

x = 1.20/0.20 = 6

y = 1.20/0.10 = 12

x = 1,2,3,4,5 ; y = 10,8,6,4,2

Thus, Required inequalities are 0.20x=1.20, 0.10y = 1.20 and 0.20x + 0.10y = 1.20. Combination of fruits open to Kojo are (6,0), (1,10), (2,8), (3,6), (4,4), (5,2), (0,12)

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Answer:

395 = 790e^(k*78)

Step-by-step explanation:

Dividing by 790 and taking the natural log

ln ( 395/790 ) = ( kx78 )

-0.6931 = 78k

-0.00888 = k  

Now calculate how much is left after 18 hours:

Amount ( 18 )

= 790e^( -0.00888x18 )

Amount = 673.301 kg