A clothing business finds there is a linear relationship between the number of shirts,
n ,it can sell and the price, p , it can charge per shirt. In particular, historical data shows that 1000 shirts can be sold at a price of $47, while 4000 shirts can be sold at a price of $26. Give a linear equation in the form p=mn+b that gives the price p they can charge for n shirts.

Answers

Answer 1

A linear equation that gives the price p they can charge for n shirts is equal to p(n) = -0.07n + 147.

Given the following data:

Points on x-axis = ($26, $47).Points on y-axis = (4000, 1000).

What is a slope?

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

How to calculate the slope of a line?

Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given points into the formula, we have;

Slope, m = (47 - 26)/(1000 - 4000)

Slope, m = -21/3000

Slope, m = -0.07

Mathematically, the standard form of the equation of a straight line is given by;

y = mx + b ≡ p = mn + b

At point (1000, 47), we have:

47 = -0.07(1000) + b

47 = -70 + b

b = 47 + 70

b = $147

In conclusion, we can reasonably and logically deduce that the slope-intercept form of the equation of the line described is p(n) = -0.07n + 147.

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Related Questions

Leah walks 13 miles in 6 hours .lee walks 5 miles in 3 hours .Hercules walks 36 miles in 8 hours which Person had the fastest pace

Answers

Answer: Hercules has the fastest pace

Step-by-step explanation:

L=Leah. l=lee. H=Hercules

**Since the speeds are in fractions, make the denominators the same.

L=13/6

l=5/3

l=(5*2)/(3*2)

l=10/6

H=36/8

H=(36*6/8)/(8*6/8)

H=(216/8)/(48/8)

H=27/6

27/6 > 13/6 > 10/6

H>L>l

Hercules has the fastest pace

Please help I will give you 30 points

Answers

Step-by-step explanation:

520÷13=40..............

Answer:

The answer is C 40

Step-by-step explanation:

520/ 13 = 40

:) have a nice day


Solve each equation. Check your answer.
2 x-5=17

Answers

Answer:

x = 11

Step-by-step explanation:

Solve each equation. Check your answer.

2x - 5 = 17

2x = 12

x = 22 : 2

x = 11

------------------

check

2 * 11 - 5 = 17

22 - 5 = 17

17 = 17

the answer is good


Classify the relationship between the pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles. (Lesson 3-1)
∠5 and ∠7

Answers

Answer:

Step-by-step explanation:

Use the Alternate Exterior Angles Theorem. If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Find the area of the polygon.
The area of the polygon is what?


Answers

Answer:

Area = 792 m

Step-by-step explanation:

You can cut the polygon into 2 rectangles.
Subtracting 18 from 60 can give you the length of rectangle A, so 42 will be the new length for rectangle A.

Multiply 6 and 42 to get 252 for the area of rectangle A.

Multiply 18 and 30 to get 540 for the area of rectangle B.

(You multiply to find the area.)

Lastly you add both areas, 252 + 540, and the final result is:

Area = 792 m

Simplify (4.3)(4.3^2)^4.

(4.3)^6
(4.3)^7
(4.3)^9
(4.3)^8

Answers

The simplified form of the given expression is 4.3⁹. The correct option is the third option (4.3)^9

Simplifying an Expression

From the question, we are to simplify the given expression

The given expression is

(4.3)(4.3^2)^4

This can be written as

(4.3)(4.3²)⁴

Applying the law of exponents, we get

(4.3)(4.3² ˣ ⁴)

(4.3)(4.3⁸)

Then,

4.3 × 4.3⁸

NOTE: 4.3 = 4.3¹

Thus,

4.3¹ × 4.3⁸

Applying the multiplication law of indices, we get

4.3¹ ⁺ ⁸

= 4.3⁹

Hence, the simplified form of the given expression is 4.3⁹. The correct option is the third option (4.3)^9

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Solve each equation. Check the solution. y/y+1 = 2/3

Answers

The solution of the given equation y/y+1 = 2/3 is calculated as (y = 2).

What is meant by cross multiplication?

In cross-multiplication, the numerator of the first fraction is multiplied by the denominator of the second fraction, and the numerator of the second fraction is multiplied by the denominator of the first fraction.

Denominators are removed during cross multiplication. It's employed to make comparisons fraction sizes, solve proportional and percentage problems.A absent value or variable is common in proportion problems. After removing the denominators with cross multiplication, algebra skills are employed to solve again for missing variable. Percentage problems are solved in the same way that proportion problems are.

Now, the given equation is as follows;

y/y+1 = 2/3

Cross-multiplying the values;

3y = 2(y + 1)

3 y = 2y + 2

Bring the variable on the single side and constants on the other.

3y - 2y = 2

y = 2

Therefore, the solution of the given equation y/y+1 = 2/3 is computed as (y = 2).

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Two lines intersect at point P. If the measures of a pair of vertical angles are (2x-7)° and, (x+3)° determine x and the measures of the other two angles?

Answers

Answer:

x = 10

One angle is 13 and the other angle is 13

Step-by-step explanation:

Vertical angles have the same measurement, so set the angles equal to each other and solve for x.

2x - 7 = x + 3  Subtract x from both sides of the equation

x - 7 = 3  Add 7 to both sides of the equation

x = 10  Now use this to solve for both angles

2(10) - 7 =

20 - 7 =

13

x + 3

10 + 3 =

13

Points!!!!!!!!!!!!!!!!

Answers

24! That is a 90 degree angle, so subtract 66 from 90
The answer is 24 Degree because if u know how much a right angle degree is you take it and u subtract like
90-66= 24
So your answer is 24 Degree

Hopefully it’s Good explanation


Write a two-column proof for each case of Theorem 10.6 Case 2
Given: P lies inside Prove: m< ABC = 1/2 m AC

Answers

The length of an inscribed angle is half the length of the central angle. The circumscribed angle's measure is 180 degrees less the central angle's measure.

What is the inscribed angle and the circumscribed angle?

In geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It is also the angle formed by two given points on a circle at a given point on the circle.

The length of an inscribed angle is half the length of the central angle. The circumscribed angle's measure is 180 degrees less the central angle's measure.

m ∠ABC =  m ∠ABD +  m ∠DBC  (∠ Addition Postulate)

m ∠ABD = 1/2 m(arc AD)    

m ∠DBC = 1/2 m(arc DC)  

(The measure of an inscribed ∠ whose side is diameter is half the measure of the intercepted arc (Case 1)).

m ∠ABC = 1/2 m(arc AD) + 1/2 m(arc DC) (Substitution)

m ∠ABC = 1/2 [m(arc AD) + m(arc DC)] (Factor)

m(arc AD) + m(arc DC) = m(arc AC) (Arc Addition Postulate)

m ∠ABC = 1/2 m(arc AC) (Substitution)

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A dog breeder charges a certain amount of money for litter of puppies along with a per puppy share. A litter with 6 puppies costs $172 and a littered with 10 puppies costs $220. Write an equation that could be used to calculate the cost, y, of any number of puppies, x.

Hint: y = mx + b

Answers

Given the task content, the cost, y, of any number of puppies, x is modeled by the equation y = mx + b where cost of any number of puppies is $12

Equation

There are three major types of equation. Namely,

Linear equationQuadratic equationSimultaneous equation

An equation can be solved through the following methods:

FactorizationGraphical methodCompleting the square methodSubstitution methodElimination method

Given:

6 puppies costs $172

10 puppies costs $220

y = mx + b

Where,

y = total costx = number of puppiesm = cost of each litterb = fixed cost

172 = m(6) + b

220 = m(10) + b

172 = 6m + b

220 = 10m + b

substract the equation

48 = 4m

m = 48/4

m = 12

Substitute m = 12 into

172 = 6m + b

172 = 6(12) + b

172 = 72 + b

172 - 72 = b

100 = b

Therefore, the cost of any number of puppies is $12

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A container holds 15,000 milliliters (mL) of water. How many liters is this?

1,000 mL = 1 L

Answers

Answer:

Step-by-step explanation:

15L

15000 divided by 1000

Answer:

15 liters

Step-by-step explanation:

1000=1

15000=x..... (cross multiply)

15000=1000x...... (divide both sides by 1000)

=15


Simplify each complex fraction.
2/x + y / 3

Answers

The simplification of the given complex fraction 2/(x +y/3) is

6/(3x + y).

Accoring to the given question.

We have a complex fraction.

2/(x +y/3)

As we know that, complex fraction is a rational expression that has a fraction in its numerator, denominator or both.

For example:  (2/3)/(4/6)

So, the above complex fraction can be simplified by

(2/3) × (6/4)

= (2/3) ×  (3/2)

= 1

Thereofore, the siplification of the complex fraction 2/(x +y/3) is given by

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

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

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

= 6/(3x + y)

Hence, the simplification of the given complex fraction 2/(x +y/3) is

6/(3x + y).

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Convert the rate of 10 yard per 5 minute to feet per hour

Answers

Answer:120 yards

Step-by-step explanation:

10/5=2 2*60= 120 yards

Help Please
Every item in the Just a Dollar store is priced $1.00. When Jack opens the store, there is $125.00 in the cash register. When he counts the money in the cash register at the end of the day, the total is $935.00. If the sales tax rate is8 %, how many items were sold that day? ____ items we sold that day.

Answers

Based on the price of each item in the store and the total cash in the register at the end of the day, the number of items sold for the day was 750 items.

How many things were sold?

The cash that the Just a Dollar store made for the day was:

= 935 - 125

= $810

The cost of the items sold, less the sales tax was:

= 810 / (1 + 8%)

= $750

If each item costs $1, then the number of items sold was:

= 750 / 1 per item

= 750 items

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I need to find out the quadrilateral of 78° k,L,N,M ​

Answers

Answer: L = 102°

               ∠N = 78°

Step-by-step explanation:

Quadrilaterals can be classified into Parallelograms, Squares, Rectangles, and Rhombuses. Square, Rectangle, and Rhombus are also Parallelograms.

A quadrilateral is called a parallelogram, if both pairs of its opposite sides are parallel. AB ∥ DC and AD ∥ BC. So, ABCD is a parallelogram. A parallelogram having all sides equal, is called a rhombus.

Given data,

In □KLMN, side LM ∥ side KN, side KL ≅ side NM If ∠K = 78°

then find the measure of ∠L, and ∠N                          

                           side LM∥ side KN

Interior angles on the same side of the transversal are supplementary.

                    ∠K + ∠L = 180°

                    78° + ∠L = 180°

                     ∠L = 180° -  78°

                      ∠L = 102°

Construction:

Draw LP ∥ MN

So, LM ∥ KN and LP ∥ MN

PLMN is a parallelogram

                   MN ≅ LP

Now MN  = LP and MN = KL

                     LP = KL

              ∠LKP = ∠LPK = 78°

LP ∥ MN so,

           ∠MNP =  ∠LPK = 78° (corresponding angles are equal)

                               ∠L = 102°

                               ∠N = 78°

Therefore,

                             ∠L = 102°

                               ∠N = 78°.

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find a point which satisfies the linear equation X + Y is equal to 8 measure on it is 3 times it services​

Answers

Answer:

Step-by-step explanation:

the horizontal line is x and 8=x so the point has to be where 8 is in the horizontal line. Then y is 3 so the point is gonna be in the vertical line then you connect those two-points and you have your line.

Rebecca needs 10 yards of fabric to make a quilt. She has one piece of fabric that is
2 yards and another piece of fabric that is 41 yards. How many more yards of
fabric does Rebecca need to make the quilt?
F
4/ yd
G
31 Y
33 yd
J 62 yd
H
yd

Answers

33 YARDS is the total length of fabric that Rebecca needs.

What exactly do you mean by YARDS?

a small, frequently walled, paved, and open to the sky area next to a structure: court; b: a building's or collection of buildings' grounds. a house's immediate surroundings, which are often grassy grounds.

A man's belt or girdle, as it was known, was originally one yard long. King Henry I of England established the yard as the distance between his nose and the thumb of his extended arm in the 12th century. It is 36 inches right now.

We must determine the length of fabric Rebecca needs to finish her quilt based on the provided facts.

The total length of fabric required is 10 yards

One piece of fabric is  long. 2yards

Another piece of fabric is  long 41

Let  be the missing length. x

2+41+x=10

x=-33

the length of fabric that Rebecca need is 33.

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Suppose you write and solve an equation to determine the amount of money m you have in your bank account after several weeks. You find that m=-36 . What does this solution mean?

Answers

Answer:

From the Soldier's point of view, the American Civil War was not a continuous battle. Instead, it was long monotonous marches and long residency in camps punctuated by the terror and chaos of combat. When winter set in and the campaigning season came to a close, most Soldiers counted on a long, cold stay in a winter camp. The four log cabins at the center of the Army Heritage Trail represent the types of buildings which Soldiers in both the Union and the Confederate Armies spent the long dreary months of winter. The cabins are modeled after images from the USAHEC collection, including the Army of the Potomac's winter camp at Brandy Station and the Confederate camp at Centerville

Multiply Which it correct?

Answers

Answer:Your answer is the fourth one

Step-by-step explanation:Please give brainliest if right

NEED NOW!!! WILL GIVE BRAINLIEST!!! 17-19!!!

Answers

For the given systems of equations, we have that:

17. The solution is: x = 3, y = 4.

18. The company can afford to promote 2 engineers to level II.

19. The substitution method was used, as writing x as a function of y in the given equation was quite straight forward, as was replacing into the second equation to find y.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For item 17, the system is:

3x + 2y = 17.4x - 2y = 4.

Adding the equations, we can eliminate y and solve for x, hence:

7x = 21

x = 3.

Then the solution for y is given as follows:

3x + 2y = 17

3(3) + 2y = 17

2y = 8

y = 4.

For item 18, the variables are given as follows:

Variable x: number of level I engineers.Variable y: number of level II engineers.

The company has 8 engineers, hence:

x + y = 8 -> x = 8 - y.

The company can afford to pay a total of $472,000 to the engineers, hence, considering the salaries(in thousands of dollars) of each:

56x + 68y = 472.

We want to solve for y, hence, since x = 8 - y:

56x + 68y = 472.

56(8 - y) + 68y = 472.

12y = 24.

y = 2.

The company can afford to promote 2 engineers to level II.

The substitution method was used, as writing x as a function of y in the given equation was quite straight forward, as was replacing into the second equation to find y.

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Answer:

This is my other account. I just needed 1+ answers togive brainliest for the other person. dont mind this

Step-by-step explanation:

Z is a standard normal random variable. what is the value of z if the areato the right of z is 0.0122?

Answers

As per question, ‘Z’ is a standard normal random variable. And the value of ‘z’ is [tex]0.9878.[/tex]

According to the question, the area to left of ‘z’ and the equation can be written as:

[tex]P(Z > z) =0.01222[/tex]

Therefore,[tex]P(Z < z) =1-0.01222=0.9878[/tex]

Now the desired z-score corresponding to z-table graph = [tex]2.25[/tex]

What is Probability?

The term probability means the study of the occurrence or the outcomes of the event. It is the measurement of the events that occurred during events. And many uncertain events cannot be measured.

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I need this answered please

Answers

Answer:

2m - 59 = Matt's savings


Three personal watercraft vehicles launch from the same dock. The first vehicle leaves the dock traveling due northeast, while the second vehicle travels due northwest. Meanwhile, the third vehicle leaves the dock traveling due north.
The first and second vehicles stop about 300 yards from the dock, while the third stops about 212 yards from the dock.
(d) Write a coordinate proof to prove that the positions of all three watercrafts are approximately collinear and that the third watercraft is at the midpoint between the other two.

Answers

The line created by 1st and 2nd is making the same angle with 3rd so all three will be colinear and 3rd is the midpoint of 1st and 2nd.

How to plot a graph?

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

Given the condition making a graph as shown below,

Now in ΔAOC and ΔBOC, the angle x is the same.

Distance AO = BO and CO is common side.

So both triangles will be congruent.

Since all corresponding side of two congruent triangles is the same.

So,

AC = BC hence C will be the midpoint of A and B.

Hence "The line created by 1st and 2nd is making the same angle with 3rd so all three will be colinear and 3rd is the midpoint of 1st and 2nd".

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Match the sequence to its equation
2, -4,-10, -16

Answers

Answer: 2, -4, -10. -16, ..., -6n+8  n=1, 2, 3, ...

Step-by-step explanation:

2, -4, -10, -16

a₁=2

a₂=-4

a₃=-10

a₄=-16

a₂-a₁=-4-2=-6

a₃-a₂=-10-(-4)=-6

a₄-a₃=-16-(-10)=-6

Hence, this is an arithmetic progression: a₁=2    d=-6

[tex]a_n=a₁+(n-1)d\\a_n=2+(n-1)(-6)\\a_n=2-6n+6\\a_n=-6n+8[/tex]

How do you work this problem out?
7 5/24 + 10 1/8=

Answers

Answer:

17 1/

Step-by-step explanation:

first you have to find a common denominator, so you multiply 1/8 by 3 and get 3/24. then you add the two numbers getting 17 8/24 but you have to simplify it so it's 17 1/


Simplify by combining like terms. 5 v-3(2-v)

Answers

The simplification by combining like terms of 5v-3(2 -v)  is 8v - 6.

According to the given question.

We have an expression5v - 3(2 - v).

As we know that, like terms are terms whose variables (and their exponents such as the 2 in x2) are the same.  when we combine like terms, such as 2x and 3x, we add or subtract their coefficients.

Since, we have to combine the like terms of the given expression

5v - 3(2 - v).

Here 5v, and 3v both are the like terms.

So, we add coeffcients of v to simplify the given expression.

Therefore, the simplification of 5v -3 (2 -v ) is given by

5v - 3(2 - v)

= 5v - 6  + 3v

= 8v - 6

Hence, the simplification by combining like terms of 5v - 3(2 - v) is 8v - 6.

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Suppose a trolley stops at a certain intersection every 14min . The first trolley of the day gets to the stop at 6: 43 A.M. How long do you have to wait for a trolley if you get to the stop at 8: 15 A.M.? At 3: 20 P.M.?

Answers

You will wait for 11 minutes

Find the number of minutes between 5:00am and 8:37am

60 mins in an hour.

8-5=3 hours

60x3=180+37=217 minutes

Divide 217 by 12 to see how many bus stops have already been made

217/12=18

18*12=216

217-216=1 minute

12-1=11 minutes

Therefore you will have to wait 11 minutes.

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Express each fraction as a decimal to the nearest hundredth.

43/46

Answers

43/49= 0.93

To express each fraction into its decimal we need to bring 100 at the denominator.

Fraction = numerator\denominator

For example :

1>    4\5

= 4*20\ 5* 20

      = 80\ 100

      = 0.80

2>   1\4

= 1 *20\ 4 *20

      = 20\ 100

       = 0.20

 

3>  49/50

= 49*2/50*2

= 98/100

=0.98

There are some numbers where it is not possible to make the denominator 100

So by the process of division method, we can convert the fraction into decimal form

43/46

0.93

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Write the specified type of proof. two-column proof
Given: ®C
Prove: ΔKML ΔJMH

Answers

Answer:

hi

Step-by-step explanation:

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