A manufacturer wishes to make tee-shirts for the band dixie chicks. They sell for $ each. She must deliver all the tee-shirts in days time. The manufacturer will first set up some machines. Once all machines are set up she will turn them on. Each machine takes one day to set up. A machine produces shirts in one day. All the machines must be set up before any of them are turned on. Express the total amount of money she will receive for the shirts in terms of the number of machines she decides to set up (assuming she sells all the shirts she makes).

Answers

Answer 1

The equation to represent total amount of money that she receives for the tee shirts in terms of number of machines is  2800*n*(200 - n)  .

In the question ,

it is given that

the cost of 1 tee - shirt = $14

total days required to deliver the tee shirt = 20

number of tee - shirts that a machine can produce = 200 per day

let the number of machines = n

so the number of days require to set up the machines = n

hence all the machine will work for = (20 - n) days  

1  machines will produce 200(200 - n) tee shirts

n machines will produce = 200n(200 - n) tee shirts in the remaining (20 - n) days .

the selling price of 1 tee shirt is = $14

So, the total money M that she will receive is = 14*200*n*(200 - n)

= 2800*n*(200 - n)

Therefore , The equation to represent total amount of money that she receives for the shirts in terms of number of machines is  2800*n*(200 - n)  .

The given question is incomplete , the complete question is

A manufacturer wishes to make tee-shirts for the band dixie chicks. They sell for $14 each. She must deliver all the tee-shirts in 20 days time. The manufacturer will first set up some machines. Once all machines are set up she will turn them on. Each machine takes one day to set up. A machine produces 200 shirts in one day. All the machines must be set up before any of them are turned on. Express the total amount of money( M ) she will receive for the shirts in terms of the number of machines she decides to set up (assuming she sells all the shirts she makes).

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Related Questions

Please help guys<333

Answers

Answer:

2

Step-by-step explanation:

because u need to multiply

if each flash is .1 lumens and we want 40 lumens at least 70% of the time, how many fireflies do we need?

Answers

4373 are many fireflies do we need linear equation.

What is an explanation of a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

If each flash is 0.1 lumens, 40*10 flashes OR 400 flashes equal 40 lumens

P(X>400) = 0.7 (given information)

P(X < 400) = 0.3

P(Z < z0) = 0.3 when z0 = -1.88 (from the z-table)

z0 = -1.88 = (400 - E(X))/V(X)

= -1.88V = 400 - E

= -1.88 √(n*0.1*0.9) = 400 - n*0.1

= -1.88*0.3√n = 400 - 0.1n

= 0.1n - 0.564√n - 400 = 0

n  = 4373

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PLEASE HELPP!!!! Bob has $12.75 and plans to purchase snow cones for his friends at $1.25 each. If he needs to save at least $8.75 to pay for lunch, how many snow cones can he buy. Use the inequality below to help answer.

Answers

Answer:

Bob can buy no more than 3 snow cones.

Step-by-step explanation:

[tex]12.75 - 1.25c \geqslant 8.75[/tex]

[tex] - 1.25c \geqslant - 4[/tex]

[tex]1.25c \leqslant 4[/tex]

[tex]c \leqslant 3.2[/tex]

So Bob can buy up to 3 snow cones.

i need help pleaseee!!!

Answers

Answer: x = 57

Step-by-step explanation:

Since CD = AC, triangle ACD is isosceles, therefore

ADC = DAC

ADC + DAC + 112 = 180

ADC + DAC = 180 -112 = 68

ADC + DAC = 68/2 = 34

DEB = 180 - 34 - 23 = 123 (sum of interior angles of a triangle = 180)

Therefore, x = 180 - 123 = 57  (DEB and x are supplementary angles)

Find the amount if

8.4% of it is 17.22kg

Answers

Your answer is 205.
(17.22 • 100) / 8.4 = 205

Answer:

205 because 8.4% of 17.22 is 205

Can you guys help me with my work, please?

Answers

The image point of (-9, -5) after applying this translation rule (T₋₅, ₀) and dilation (D₂) is (-28, -10).

What is a translation?

In Mathematics, the translation of a geometric figure to the left simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.

Mathematically, a horizontal translation to the left is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

N represents an integer.g(x) and f(x) represent a function.

By applying the transformation rule T₋₅, ₀ to the pre-image point (-9, -5), we have:

(x, y)                      →              (x − 5, y + 0)

(-9, -5)                   →              (-9 − 5, -5 + 0) = (-14, -5)

Next, we would apply a dilation (D₂) by using a scale factor of 2:

(x, y)        →    (kx, ky)  = (2x, 2y)

(-14, -5)    →    (2(-14), 2(-5))  = (-28, -10).

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Y=x+3\x-2

Deg. Of numerator___

Deg. of denominator___


Optional?

Horizontal Asymptote ____

Vertical asymptote ____

Answers

The solution to the questions are

The degree of the numerator is 1The degree of the denominator is 1The horizontal asymptote is y = 1The vertical asymptote is x = 2

The degree of the numerator

The function is given as

y = (x + 3)/(x - 2)

The numerator of the function is

x + 3

The above expression is a linear expression

So, the degree is 1

The degree of the denominator

The function is given as

y = (x + 3)/(x - 2)

The denominator of the function is

x - 2

The above expression is a linear expression

So, the degree is 1

The vertical asymptote

The function is given as

y = (x + 3)/(x - 2)

Set the numerator to 0

x +3 = 0

Evaluate

x = -3

The horizontal asymptote

The degree of the numerator is 1

So, the horizontal asymptote is y = 1

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What is the solution of 2|7x – 4| + 3 = 51?

Answers

Answer: x = 4 or x = -20/7.

step 1: Add -3 to both sides.

2( |7x−4|)+ 3 + −3=51+ −3

2(|7x−4|)= 48

Step 2: Divide both sides by 2.

2(|7x−4|)/2= 48/2

|7x−4|=24

Step 3: Solve Absolute Value.
We know either 7x−4=24 or 7x−4= −24
7x−4 = 24 (Possibility 1)
7x−4+4=24+4 (Add 4 to both sides)
7x=28
7x/7=28/7 (Divide both sides by 7)

7x−4=−24 (Possibility 2)
7x−4 + 4= −24 + 4 (Add 4 to both sides)
7x=−20
7x/7= −20/7 (Divide both sides by 7)
x=−20/7
X = 4 because you combine like terms, subtract 3 from both sides, divide both sides by 2, use the definition as the absolute value, add 4 to both sides, divide both sides by seven. This comes out to X=4

Select all the expressions that are equivalent to 434( – 9).

Answers

The equivalent expression for the exponential expression 4³ . 4⁻⁹ is either 4⁻⁶ or 1/4⁶

Exponential expression:

Exponential expression means a mathematical expression consisting of a constant raised to some power.

Given,

Here we have the expression 4³ . 4⁻⁹.

Now, we have to simplify this expression to find the equivalent expression.

According to the following exponent rule,

xᵃ . xᵇ = x⁽ᵃ⁺ᵇ⁾

Based on this rule, we have rewritten the expression as,

=> 4⁽³ ⁺ ⁽⁻⁹⁾⁾

Thus the resulting value of the expression is,

=> 4 ⁽³⁻⁹⁾

=> 4⁻⁶

By using the another exponent rule, we get the value as,

=> 1/4⁶

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Factorise this : 6xy-18y

Answers

6xy - 18y

common factor is 6y:

6y(x - 3)

Which expression is equivalent to the sum 25 + 60? *

Answers

Answer:

85

Step-by-step explanation:

solo lo sumas para que le entiendas consulta a una maestro jajja

Please solve this asap.​

Answers

Answer:

Step-by-step explanation:

hopes this helps please mark brainliest

Follow up answer is 90/500

9/50

Gavin drove 88 mile in 12 minute. If he drove at a contant rate, how far did he travel in one hour?

Answers

Answer:

440 miles

Step-by-step explanation:

5 pairs of 12 mintues make 1 hour

5 *88 = 440

Write a function rule of a line in slope intercept form that is parallel to line 5x - 3y = 7 and has the same y intercept of the line 4x-y=9

Answers

Answer:

y = [tex]\frac{5}{3}[/tex] x -9

Step-by-step explanation:

Put both equations in the slope intercept form

y =mx + b

5x - 3y = 7  Subtract 5x from both sides

-3y = -5x + 7  Divide both sides by -3

y = [tex]\frac{-5}{-3}[/tex] x + [tex]\frac{7}{-3}[/tex]  Cleaned up

y = [tex]\frac{5}{3}[/tex] x - [tex]\frac{7}{3}[/tex]

4x -y = 9  Subtract 4x from both sides

-y = -4x + 9  Divide all the way through by -1

y = 4x - 9

To make a line parallel to the first equation, we need the same slope.  The slope of the first equation is [tex]\frac{5}{3}[/tex].  We are also told to have the same y intercept as the second equation which is -9

y = [tex]\frac{5}{3}[/tex] x  - 9

-5
Graph y=-3x + 5
10
5
Check it
10

Answers

Answer:

See the attached graph.

Step-by-step explanation:

Pick any two values of x that are on the x axis and compute the values of y using the equation.  I'll pick x values of -1 and 2 for illustration.

  x=-3x + 5

X      Y

-1     2

 2      -1

Plot those poins and then connect them with a ruler to form the line for y = -3x + 5

Se the attached graph.

which expression represents the product if 3 and 7

Answers

Answer:

3X7

Step-by-step explanation:

product means to multiply

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
20
12
X

Answers

The side length [tex]x = \sqrt{444}[/tex] => x = 21

What are the properties of right triangle?

The right angle, or 90°, is always one angle.

The hypotenuse is the side that will be 90° away from the other angle.

The longest side is always the hypotenuse.

The other two inside angles will add up to 90 degrees.

Also known as base and perpendicular are the other two sides that are close to the right angle.

The first two sides of the triangle are :

1st angle = 20°

2nd angle = 12°

Thus by using the Pythagoras theorem ;

20² + 12² = x²

400 + 144 = x²

this implies , 444 = x²

Taking square roots on both sides we get

[tex]x = \sqrt{444}[/tex]

x = 21

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if you choose two cards out of a deck of cards, what are the chances one is a red face card and the other is a black non-face card?

Answers

Using the probability, if you choose two cards out of a deck of cards, then the chances one is a red face card and the other is a black non-face card is 1/2.

In the given question,

If you choose two cards out of a deck of cards, then we have to find the chances one is a red face card and the other is a black non-face card.

As we know that in a deck having 52 cards. In which 26 are red and 26 are black.

We have to choose a red face card.

As we know that in a deck have 12 face cards. In which 6 red face cards and 6 black face cards.

So the chance of getting red face card is

P(R)=Total number of red face cards/Total number of cards

P(R)=6/52

We have to choose a black non-face card.

We know that in a deck have 6 black face cards and total black cards are 26. So the non face cards are 20.

So the chance of getting black non-face card is

P(B)=Total number of black non-face cards/Total number of cards

P(B)=20/52

Now the chances of getting one is a red face card and the other is a black non-face card is

P(R or B)=P(R)+P(B)

P(R or B)=6/52+20/52

P(R or B)=(6+20)/52

P(R or B)=26/52

P(R or B)=1/2

Hence, if you choose two cards out of a deck of cards, then the chances one is a red face card and the other is a black non-face card is 1/2.

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PLEASE HELP
I dont understand this

Answers

Answer: I EXPLAINED IT TELL ME IF YOU NEED THE ANSWER!

Step-by-step explanation: You can find the final equation for the segment of a circle area: A segment = A sector - A isosceles triangle = (0.5 × r² × α) - (0.5 × r² × sin(α)) = 0.5 × r² × (α – sin(α)) Formula given radius and height. A segment = r² × Arcos((r-h)/r) - (r-h) × √ (2 × r × h - h²) where h is the height of a segment, also known as sagitta.

At the tart of the day, a decorator reted a 3 m ladder | againt a vertical wall o that the foot of the ladder wa | 60 cm away from the bae of the wall. | During the day, the ladder lipped down the wall, cauing | the foot of the ladder to move 80 cm further away from the bae of the wall. | How far down the wall, in centimetre, did the ladder lip? | Give your anwer to the nearet 1 cm. |

Answers

The distance at which the ladder slips down the wall is equal to 5cm.

As given in the question,

figure of the given situation attached.

Length of the ladder AD or BE = 3m

                                                  = 300cm

Distance between base of wall and ladder before slipping 'DC'= 60cm

Distance after slipping 'EC' = 80 cm

In ΔADC,

AC =√AD² -CD²

     = √ 300² - 60²

     = √86400

     = 293.9

     = 294 cm ( nearest cm)

BC = √ BE² - EC²

     = √300² -80²

    = √ 83600

    = 289.1

    = 289 cm ( nearest cm)

Distance AB = AC - BC

                     = 294 - 289

                     = 5cm

Therefore, distance between the ladder before and after slipping on the wall is 5cm.  

The complete question is :

At the start of the day , a decorator rested a 3m ladder against a vertical wall so that the foot of the ladder was 60cm away from the base of the wall. During the day, the ladder slipped down the wall, causing the foot of the ladder to move 80cm further away from the base of the wall. How far down the wall, in centimeters, did the ladder slip? Give your answer to the nearest 1cm.

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Multiply 6.75 x 10 to the 6th power and 1.2 × 10 to the 6th power

Answers

Value for multiplication of 6.75 x 10⁶ and 1.2 × 10⁶ : 8.1 x 10¹²

What is Multiplication?

The process of finding the sum of two or more numbers is known as multiplication. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of the same size, we employ multiplication.

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

We have the given values to multiply:

6.75 x 10⁶ and 1.2 × 10⁶

Now,

= 6.75 x 10⁶ x 1.2 × 10⁶

= (6.75 x 1.2) x (10⁶ x 10⁶)

= (8.1) x 10⁽⁶⁺⁶⁾

= 8.1 x 10¹²

Hence, the value of multiplication of 6.75 x 10⁶ and 1.2 × 10⁶ is 8.1 x 10¹²

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What number should fill in the blank? 36 x 8 =_________+6)x 8

Answers

The number to be filled in the blank  is 30

How to calculate the missing number?

Let us consider the number in the blank = x

Rewriting it as a linear equation,

36 * 8 =( x + 6 )8

288 = ( x + 6) 8

288 /8 = x + 6

36 = x + 6

 x = 36- 6

  x = 30

The number to be filled in the blank  is 30

What is a linear equation?A linear equation is one that has a degree of 1 as its maximum value. Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. Both linear equations with one variable and those with two variables exist. Ax+ B = 0, where A and B are both real integers, and x is the only variable, is the standard form or general form of a linear equation in one variable. A vertical line that is parallel to the y-axis is formed on the graph of a linear equation with one variable, x, and vice versa.

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Write the equation in standard form for the circle with center (2,–
9) and radius 2

Answers

Required standard form for given circle is [tex](x-2)^{2}+(y+9)^{2}=4[/tex]

What is the standard form of equation of circle?

Standard form of circle is expressed as[tex](x-h)^{2}+(y-k)^2=r^{2}[/tex] ,where h,k are the coordinate of the center of circle and r is radius.

According to the given data:

Center (h, k) = (2, -9)

radius = 2 units

Using standard form of equation,

[tex](x-h)^{2}+(y-k)^2=r^{2}[/tex]

Putting the given values,we get

[tex](x-2)^{2}+(y-(-9))^{2}=2^{2}[/tex]

⇒ [tex](x-2)^{2}+(y+9)^{2}=4[/tex]

Hence, the standard form of equation of circle is [tex](x-2)^{2}+(y+9)^{2}=4[/tex] .

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Find the length of an arc for a circle whose central angle is 220 degrees and radius is 32
inches.

Answers

Answer:

below

Step-by-step explanation:

The arc length is  220 / 360 ths of the total circumference

find the total circumference = pi *2r = 64 pi  inches

now multiply by the fraction  of the total circumference

   220 / 360   *  64 pi = 122.9 in

How many quarts are there in 21 pints?

Answers

Answer:

10.5

Step-by-step explanation:

each quart is half a pint so 21 divided by 2 is this 10.5

the bureau of alcohol, tobacco, and firearms (batf) has been concerned about lead levels in california wines. in a previous testing of wine specimens, lead levels ranging from 45 to 750 parts per billion were recorded. how many wine specimens should be tested if the batf wishes to estimate the true mean lead level for california wines to within 10 parts per billion with 95% confidence? (round your answer up to the nearest whole number.)

Answers

Using the Uniform Distribution and the Z- distribution, it is found that 1591 specimens should be tested.

Uniform Distribution: It refers to a type of probability distribution in which all outcomes are equally likely.

Z- Distribution: The standard normal distribution, also known as z distribution, is a special normal distribution where the mean is 0 and standard deviation is 01.

For an uniform distribution of bounds a & b the standard deviation is given by:  α = √ (b-a)²÷12

here, α= standard deviation.

in this problem, a = 45 and b = 750, thus the estimate is:

α = √(750-45)² ÷ 12

  = √497025 ÷ 12

  = 203.5

the margin of error of a Z confidence interval is given by:

                  M = z (α ÷√n)

where, z is the critical value

            α is the population Standard deviation

             n is the sample size.

Now, finding the critical value which is z with a p - value of (1+∝ )÷2, where ∝ is confidence level.

here, ∝ = 0.95, thus z with a p-value of (1+0.95)÷ 2 = 0.96

∴ z= 0.96

standard deviation estimates is 203.5.

now, we want sample for a margin of error of 10, then,

               M= z( α ÷ √n)

         ⇒ 10 = 1.96 ( 203.5 ÷ √n)

         ⇒ 10√n = 1.96 (203.5)

         ⇒ √n = 0.196 (203.5)

         ⇒ (√n)² = [0.196(203.5)]²

         ⇒ n = 1590.89

Round up the value 1590.89 by:

1591 specimen should be tested

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There are a total of 58 schools and 23,581 students attend those schools. Sarah only works in 23 of those schools, how many students has Sarah worked with?

Answers

If Sarah only works in 23 of those schools then Sarah worked with 9,351 students.

Given, There are a total of 58 schools and 23,581 students attend those schools. Sarah only works in 23 of those schools

now, as 58 schools = 23581 students

1 school = 23581/58 students

now,

23 schools = 23× 23581/58 students

23 schools = 9,351 students

So, Sarah worked with 9,351 students.

Hence, Sarah worked with 9,351 students.

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Last week, Colton sold 14 magazine subscriptions and 36 raffle tickets for a fundraiser. This week, he sold 18 magazine subscriptions and 26 raffle tickets. If Colton charged $10.25 for each magazine subscription and $0.50 for each raffle ticket, how much money did he earn for the fundraiser over these two weeks?

Answers

If in Last week, Colton sold 14 magazine subscriptions and 36 raffle tickets for a fundraiser. This week, he sold 18 magazine subscriptions and 26 raffle tickets. If Colton charged $10.25 for each magazine subscription and $0.50 for each raffle ticket, Then $359 money he earned for the fundraiser over these two weeks

What is Equation?

Two or more expressions with an Equal sign is called as Equation

Given,

10.25 for each magazine subscription and $0.50 for each raffle ticket,

M=10.25 and T=0.50

Last week:

14 magazine subscriptions and 36 raffle tickets for a fundraiser.

14M+36T

Now substitute M and T values

14(10.25)+36(0.50)

143.5+18

161.5

Current week:

18 magazine subscriptions and 26 raffle tickets.

18M+26T

Now substitute M and T values

18(10.25)+26(0.50)

184.5+13

197.5

So total money he earned for two weeks is 161.5+197.5

$359

Hence $359 money did he earn for the fundraiser over these two weeks

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Students at a sports college choose activities for games.
In Year 7 they chose between rounders and athletics in the ratio 1 : 4.
There are 60 students in Year 7.
Work out how many chose athletics.

Answers

Answer:   48 students

Step-by-step explanation:   1+4=5

60÷5=12

12x4=48

48 students chose athletics

What is an equation of the line that passes through the points (5,3) and (5,5) (please help)

Answers

Answer:

The x value does not change between the two points, meaning that our line includes all possible points in which x=5.

x=5 is the slope.

Answer:

x = 5

Step-by-step explanation:

slope: undefined

So, x = 5

Other Questions
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