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 2 thousand shirts can be sold at a price of 80 dollars each, and that 5 thousand shirts can be sold at a price of 65 each

Answers

Answer 1

Answer:

We have two data points:

2000 shirts can be sold for $80 each.

5,000 shirts can be sold for $65 each.

Then we can define the relation:

P(n).

Where P is the price, and n is the number of shirts.

Now, we know that we can model this as a linear relationship that passes through the points (2000, $80) and (5000, $65)

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case, the slope is:

a = ($65 - $80)/(5000 - 2000) = -$0.005.

Then our equation is:

P(n) = -$0.005*n + b

Now let's find the value of b, we know that:

P(2000) = $80 = -$0.005*2000 + b

                 $80 = -$10 + b

                  $80 + $10 = b = $90

Our equation is:

P(n) = -$0.005*n + $90.


Related Questions

here's the image for the question I have:

Answers

Answer:

c

Step-by-step explanation:

Answer:

C::10:15

Step-by-step explanation:

It is C because he had 15 hours of first aid and 10 hours of cpr and the question says CPR TO FIRST AID therefore the number of CPR training hours will come before the number of First Aid training hours. If it would have asked you to reduce the ratio it would have been 2:3 because you would have had to divide both sides by 5 resulting in the smallest possible ratio.

HOPE THIS HELPS YOU OUT!

A toy company manufactures sealed cubes that contain a colored liquid that glows in the dark. The liquid completely fills the cubes. If 8 cubic blocks with a side length of m are needed to find the volume of each cube, how much of the liquid can each cube hold?

Answers

Answer:

[tex]Volume = 8m^3[/tex]

Step-by-step explanation:

Given

[tex]Cubes = 8[/tex]

[tex]Length = m[/tex] for each

Required

Determine how much all cubes can hold

First, we need to determine the volume of each.

[tex]Volume = m * m * m[/tex]

[tex]Volume = m^3[/tex]

For the 8 cubes, we have:

[tex]Volume = 8 * Volume\ of\ 1[/tex]

[tex]Volume = 8 * m^3[/tex]

[tex]Volume = 8m^3[/tex]

-4 = - 17 + x linear equations

Answers

add 17 to both sides

13 = x

hope this helps

See attachment for math work and answer.

A concert organizer learned from a market survey that when the admission price is $30, there is an average attendance of 800 people. For every $1 drop in price, there is a gain of 20 customers. Each customer spends an average of $5 on concessions. The concert hall has 1,000 seats.

Answers

Answer:

[tex]\mathbf{ P =D(x)= 70 -\dfrac{ x}{20}}[/tex]

Step-by-step explanation:

From the information given :

The objective is to find the demand function which is expressed in p, the price in dollars charged for each ticket, as a function of x, and the number of average attendance is:

Suppose the admission price P = D(x) = 30 and number of average attendant = x = 800 people

Then:

ΔP = -1

Δx = 20

[tex]\left \{ \dfrac{\Delta x}{\Delta P }= -20 }}\ \right.[/tex]

According to point line form :

[tex]\dfrac{\Delta x}{\Delta P }= -20[/tex] where the point is (30, 800)

x - 800 = -20 (P - 30)

x - 800 = -20P + 600

collect like terms

x + 20P = 800+ 600

x + 20P = 1400

x = 1400 - 20P

[tex]\mathsf{ P = 70 -\dfrac{ 1}{20}x}[/tex]

Thus, price in dollars for each ticket P = D(x) is:

[tex]\mathbf{ P =D(x)= 70 -\dfrac{ x}{20}}[/tex]

A model with 1 shaded part and 3 unshaded parts. Write the unit fraction depicted in the model as a percent. One-fourth = ?

Answers

Answer: one-fourth = 25%  because= 1/4*100= 1*25= 25%

Hope it Helped! :3

Answer:

1/4=25%

Step-by-step explanation:

Hope this helps

1) What is the VERTEX of the Quadratic Graph below?*

Answers

( 0, -4 ) is the vertex of the parabola

WILL MARK BRAINLIST!!!!

DBA Study Guide –
2.01 ESSENTIAL QUESTIONS
• What are the Transformations and how do they move?
• How can you tell the difference between the preimage and the transformed image by looking at the figures on a graph?

• 2.03 ESSENTIAL QUESTIONS
• What are the names of the Theorems that we use to prove triangles congruent?
• What does it mean for two shapes to be congruent?
2.04 ESSENTIAL QUESTIONS
How do you prove each of the following theorems using either a two-column, paragraph, or flow chart proof:
• Isosceles Triangle Theorem
2.06 ESSENTIAL QUESTIONS
• What are the characteristics of squares, rhombi, kites, and trapezoids?

Answers

Answer: These are some of the questions not all of them

There are four types of transformations: reflection, rotation, translation and enlargement. Translation (also known as Slide) moves a shape by sliding it up, down, sideways or diagonally, without turning it or making it bigger or smaller. Reflection (also known as Flip) in a line produces a mirror image in which corresponding points on the original shape and the mirror image are always the same distance from the mirror line. Rotation (also known as Turn) turns a shape through a clockwise or anti-clockwise angle about a fixed point known as the Centre of Rotation. All lines in the shape rotate through the same angle. Rotation, (just like reflection) changes the orientation and position of the shape, but everything else stays the same. Enlargement (also known as Dilation) is a transformation. However, it is different from reflection, rotation and translation because it changes the size of an object. Transformations which leave the dimensions of the object and its image unchanged are called isometric transformations. Examples of isometrics are reflection, rotation and translation. Transformations which do alter the dimension of the object when they act on them are called non-isometric transformation Examples are the enlargement. The image of a transformation is the shape after the transformation. The preimage of a transformation is the shape before the transformation. If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent. n geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Plz help quick >_< What is the best estimate for 81.9 x 4.6?
O A) 100
OB) 360
OC) 400
OD 8,000

Answers

Answer:

B.

Step-by-step explanation:

When you multiply the two decimals you get 376.74 which is closer to 360 than 400

Answer:
it's b
Step-by-step explanation:
I took the test

What is the growth of the rule y=3x+5 ?
Need a number answer

Answers

As I see the slope is 3 and the y-intercept is 5 so the graph would be x=0 then y=5 then the next x=1 and Y=8

Is the following figure a parallelogram? Why?
P
O No, opposite angles are congruent.
O Yes, opposite sides are congruent.
O No, opposite sides are congruent.
O Yes, opposite angles are congruent.

Answers

Yes because opposite sides are congruent

Find the value of the expression below.
15 + 5 × 3
-------------- (fraction)
3² + 6

5
4
2

Answers

Answer:

2

Step-by-step explanation:

15 + 5 × 3

________

  3² + 6

For this question, we need to use PEMDAS to solve the question correctly. PEMDAS stands for "parentheses, exponents, multiplication, division, addition, subtraction". In this question, for the numerator, we see 5 x 3 so that's multiplication. So we multiply those together to get 15. In the denominator, there's an exponent which is 3². We have to find the square of 3 so that we can simplify the denominator as well. That simplifies to 9:

(15+15)/(9+6)

Next, we just have to add the 15+15 in the numerator together and 9+6 in the denominator together:

30/15

Finally, we divide 30/15 to get 2 as our answer

2

Please help me!!!

Michael's parents doubled his pocket money. His sister paid $1 for ice-cream from her pocket money and he paid $3 of his poket money for an new toy. After making these payments, they have the same money left. If his sister's pocket money is $6, what was Michael's pocket money before doubling it?


1. How much money did they together have after making the payments?

2. How much money did Michael have after his pocket money was doubled. Find the value of x.

3. How much did Micheal's sister have before making the payment?

(ONLY THE ANSWER)

Answers

Answer:

x = $4

1. $10

2. $8

3. $6

Step-by-step explanation:

Let

Michael's doubled pocket money = 2x

He spends $3

Balance = 2x - 3

His sister's pocket money = $6

She spends $1

Balance = $6 - $1

= $5

2x - 3 = 5

2x = 5 + 3

2x = 8

x = 8/2

= 4

x = $4

After making the payments, they both together have $10

After Michael's pocket money was doubled, he has 2x

= 2(4)

= $8

His sister's has $6 before making the payments

1 quart to 1 gallon

Answers

4 quarts equal 1 gallon. 1 quart to 1 gallon is 0.25 of a gallon.

Eric is trying to save $37 to buy a gift for his mother. Right now he has $5. He can save $10 a week from mowing lawns and $5 a week from his allowance. What is the least number of weeks that Eric will need to save to have enough money for the gift?

Answers

Answer:

3 weeks. 5+10=15

because in 2 weeks he will have 30 dollars plus the 5 dollars he already has is 35 dollars but, that is not enough he needs one more week.

pls help again (picture below)

Answers

Answer:

C 10 to the power of 7 equals 10,000,000 and x 3.45 = 3450000000

Step-by-step explanation:

The annual gas bill for a town household are considered to be normally distributed with a mean of $ 1130 and a standard deviation of $ 150. If one household is randomly selected, what is the probability that the gas bill will be between $900 and $1100?

Answers

Answer:

The probability is  [tex]P(900 < X < 1100) = 0.358102[/tex]

Step-by-step explanation:

From the question we are told that

   The  population mean is  [tex]\mu = \$ 1130[/tex]

    The standard deviation is  [tex]\sigma = \$ 150[/tex]

   

Generally the probability that the gas bill will be between $900 and  $1100 is mathematically represented as

      [tex]P(900 < X < 1100) = P(\frac{900 - 1130 }{150 } < \frac{X - \mu}{\sigma } < \frac{1100 - 1130 }{150 } )[/tex]

=>  [tex]P(900 < X < 1100) = P(-1.533 < \frac{X - \mu}{\sigma } < -0.2 )[/tex]

Generally [tex]\frac{X - \mu}{\sigma } = Z (The\ standardized \ value \ of \ X)[/tex]

So

    [tex]P(900 < X < 1100) = P(-1.533 < Z< -0.2 )[/tex]

   [tex]P(900 < X < 1100) = P( Z< -0.2 ) - P(Z < -1.533)[/tex]

From the z  table  

     [tex]P(Z < -0.2 ) = 0.42074[/tex]

and

     [tex]P(Z < -1.533) = 0.062638[/tex]

So

     [tex]P(900 < X < 1100) = 0.42074 - 0.062638[/tex]

=> [tex]P(900 < X < 1100) = 0.358102[/tex]

a point is ____
•imaginary
•real

Answers

Answer:

a point Is an imaginary line

Answer:

imaginary

Step-by-step explanation:

asking questions is super in this education life

Help me solve this problem please please

Answers

Answer: D. x > -1

Step-by-step explanation:

y varies directly as x. if x = 10 when y = 40, find x when y = 200.

Answers

Answer:

x = 50

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition

x = 10 when y = 40, then

40 = 10k ( divide both sides by 4 )

4 = k

y = 4x ← equation of variation

When y = 200, then

200 = 4x ( divide both sides by 4 )

50 = x

Given g(x)=-x-1, find g(-4)

Answers

Answer:

g(-4)=3

Step-by-step explanation:

g(x)=-x-1

g(-4)=-(-4)-1

g(-4)=4-1

g(-4)=3

Answer:3

Step-by-step explanation:

need answer asap Whole numbers: ___ + ___ + ___ = _____ cups of soup mix.

Answers

Answer:

1+2+3=6 lol jk i dont have the numbers that they gave you

Step-by-step explanation:

Which expressions are equivalent to 46 ?

Answers

Answer:

frus

ggyfhhfgggdg the nearest whole number is the nearest whole thing that is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number of the nearest and the product of the nearest and we are all in this together to to 21211111111wwethkuff

I need help if you can.

Answers

Answer:

I cant see the equation that well, but i got 5/16

Step-by-step explanation:

Hope this helps!

Answer:

I got C) 1 and 1/4

Step-by-step explanation:

-0.5 + 0.75 = 0.25

1/5 = 0.20

0.25 divided by 0.20 would be over 1 because a fraction divided by another fraction brings the number while a whole number divided by a fraction would bring the number down.

0.25 divided by 0.20 = 1.25

0.375, 75% , 5/8, 1/2
From least to greatest pls

Answers

03.75, 1/2 , 5/8 , 75%

If the pth term of an A.P. is q and the qth term is p. Prove that its nth term is (p+q-n). ​

Answers

Given:

pth term of an AP = q

qth term = p

Prove:

nth term of A.P. is (p+q-n). ​

Proof:

We know that,

nth term of an AP (an) = a + (n - 1)d

Hence,

⟹ a + (p - 1)d = q

⟹ a + pd - d = q

⟹ a = q - pd + d -- equation (1)

Similarly,

⟹ a + (q - 1)d = p

Substitute the value of a from equation (1).

⟹ q - pd + d + qd - d = p

⟹ qd - pd = p - q

⟹ - d(p - q) = p - q

⟹ - d = 1

⟹ d = - 1

Substitute the value of d in equation (1).

⟹ a = q - p( - 1) + ( - 1)

⟹ a = q + p - 1

Now,

an = q + p - 1 + (n - 1)( - 1)

⟹ an = q + p - 1 - n + 1

⟹ an = p + q - n

Hence, Proved.

I hope it will help you.

Regards.

Step-by-step explanation:

ANSWER

pth term = q

a+(p−1)d=q

qth term = p

a+(q−1)d=p

Solving these equations, we get,

d=−1

a=(p+q−1)

Thus,

nth term = a+(n−1)d=(p+q−1)+(n−1)×(−1)=(p+q−n)

12⁴x 9³ x 4
6³ x 8² x 27​

Answers

Answer:

12⁴ × 9³ x 4 = 60,466,176

6³ × 8² × 27 = 373,248

Step-by-step explanation:

You could use the expanded form to calculate the answer

12⁴ = 20,736

9³ = 729

4 = 4

20,736 × 729 × 4 = 60,466,176

6³ x 8² x 27​

6³ = 216

8² = 64

27 = 27

216 × 64 × 27 = 373,248

Please help me with this. This is my last one and when you are answering PLEASE SHOW STEPS FOR BRAINSLT. THIS IS DUE TOMORROW

Answers

X= -2

Explanation: the photos are in order :)

Answer:

x = -2

Step-by-step explanation:

3/5 +3/10x = 4/5 + 2/5x

Step 1. Change every fraction into the same denominator

6/10 + 3/10 x = 8/10 + 4/10x

Step 2. Subtract 3/10x

6/10 = 8/10 + 1/10x

Step 3. Subtract 8/10

-2/10 = 1/10x

x = -2

PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!
Square TUVW with vertices T(-6,1), U(-1,0), V(-2,-5), and W(-7,-4):
(a) Reflection: in the y-axis (b) Translation (x,y) —> (x-5,y+7)
A. (4,7)
B. (-5,7)
C. (1,0)
D. (-4,7)

Answers

Answer:

093006570

Step-by-step explanation:

Rut ectjyvtjyhrjtjtj5j6

write the sentence as an equation.241is the same as 364 fewer than f​

Answers

Answer:

241 = f - 364

Step-by-step explanation:

The answer is 241 = f - 364

Have a nice day / night! :)

Two equations are shown: I will give 40 pts if someone answers


Equation 1: (x – 12) = 12

Solve each equation.

Answers

Answer:

x and y both equal 24

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