For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price in dollars, find the equilibrium quantity and the equilibrium price.
p = −0.3x + 6 and p = 0.05x + 2.5
equilibrium quantity
units
equilibrium price $

Answers

Answer 1

9514 1404 393

Answer:

  (x, p) = (10, 3)

Step-by-step explanation:

Equating the expressions for p, we have ...

  -0.3x +6 = 0.05x +2.5

  3.5 = 0.35x . . . . . add 0.3x-2.5

  10 = x . . . . . . . . . . divide by 0.35

  p = -0.3(10) +6 = 3

The equilibrium quantity is 10 units.

The equilibrium price is $3.


Related Questions

What is the slope of the line?
y + 2 = -22 - 3)

Answers

Answer:

Slope is 0

Step-by-step explanation:

Simplify to get y= -27

then you can see that the slope is 0

Hope it helps :)

A $65.00 coat is now on sale for $52.00. What percent discount is given.

Answers

65-52=13

13x100

65 = 20%

the discount is given 20%

IT'S FOR MIDDLE SCHOOOLLL PLZZZ HELPPPP
Tyler’s brother works in a shoe store. Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $900 worth of shoes. How much was his commission?

Answers

Answer:

22.5 i think

Step-by-step explanation:

Answer: it is 22.5

Step-by-step explanation:

find the vertical asympotes y= 3/ x+5

Answers

Answer:

the vertical asymptotes is x= -5

7. Use substitution. What is the solution
to the system of equations? Explain.
This is the question and equation please helpppppp

Answers

12(1/4x + 4) - 48 = 3x
3x + 48 - 48 = 3x
x = 0

y = 1/4(0) + 4
y = 4
1) solve y
y= x/4+4
2) substitute- y=x/4+4 into y-48=3x
3x=3x

Hope this helps, and I hope you get your marks :)

5) In a classroom, the ratio of boys to girls is 6:7. Select all possible statements that must be true about the classroom. a) There are exactly 6 boys. b) There is exactly 1 more girl than boy. c) The ratio of girls to total students is 7:13. d) The ratio of total students to boys is 13:6. e) The total number of students is a multiple of 13.

Answers

Believe in yourself you got this

The expression 6(x − 5) means the
A. sum of 6 and the sum of x and 5
B. product of 6 and sum of x and 5
C. product of 6 and difference of x minus 5
D. sum of 6 and the difference of x minus 5

Answers

answer: C. the product of 6 and the difference of x minus 5

According to the graph, what is the experimental probability of selecting the letter C?

Number of occurrences of letters


16.7%


24%


16%


20%

Answers

Answer:

16%

Step-by-step explanation:

50 events and C shows 8

50/8 = 16%

Answer:

The Answer is 0.16 = 16%

Help rn pls,! Its a math problem

Answers

Answer:

Dont nobody want to help you but thanks for the points lol

Step-by-step explanation:

wore
Jackie buys 5kg of flour.
She is making pizzas that each need 300g
of flour.
What is the maximum number of pizzas
that Jackie can make?
How much flour will Jackie have left?
Can you give me the answer

Answers

“kilo-“ means “thousand.” A kilogram is 1,000 grams.
5 kg = 5,000 g
5,000 g × (1 pizza)/(300 g) = 5,000/300 pizzas = 16⅓
16 pizzas

PLEASE HELPPPPP ME IN BEGGING YOU

Answers

Answer:

im going to say its B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

All you gotta do is take each angle and subtract it from 180. Jus learned dis in geometry.

180-133= 47

180-108=72

180-119=61

When 2/3 tons of coal cost $13.50, what will in ton cost?

Answers

Answer:

20.25

Step-by-step explanation:

Divide 13.50 by 2 and then multiply by 3.

i need help asap due tonight

Answers

Answer:

3 bucks

Step-by-step explanation:

Answer:

d=3

Step-by-step explanation:

if the whole thing equals 19, and you know that part of it is 10, that leaves the rest of it to be 9. the rest is divided into 3s, if you know the whole section is 9 then all you would have to do is divide 9 by 3 and that would get you 3

Pizza Guy pizza delivery time for a pizza is
approximately normally distributed with a
mean of 22 minutes and a standard deviation
of 5. Pizza Guy guarantees delivery within 30
minutes or the pizza is free. What percent of
customers will get a free pizza?
a) 3.5% b) 4.5% c) 5.0% d) 5.5% e) 6.5%

Answers

Answer:

5.5%

Step-by-step explanation:

the pizza is free 5.5 so he need to deliver the pizza on time

What is the relation of the slopes of perpendicular lines or segments?
A) congruent
B) both positive
C)opposite reciprocals
D)both negative

Answers

Answer:

C

Step-by-step explanation:

In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects.

Answer: D both negative

Step-by-step explanation:

1. 8.3 is equal to _____ tenths ______ hundredths
2. 28 is equal to ______ hundredths _______tenths.

Answers

Answer:

8.3 is equal to eight tenths 3 hundredths

28 is equal to 28 tenths.

In a landscape plan, a rectangular flower bed is designed to be 4 meters longer than it is wide. If 60 square meters are needed for the plants in the bed, what should the dimensions of the rectangular bed be?

Write the equation and your solution.

Answers

Answer:

i dk and stop callin me slime

Step-by-step explanation:

Dimension of rectangular bed is

length = 10 meters and width = 6 meters

Equation is [tex]w^2+4w-60=0[/tex]

Given :

a rectangular flower bed is designed to be 4 meters longer than it is wide

60 square meters are needed for the plants in the bed.

Let 'w' be the width of the flower bed

and 'L' be the length of the flower bed

Length is 4 meters longer than its width

Length L= w+4

We know that the area of rectangle = length times width

[tex]Area = L \cdot W\\A=(w+4)(w)\\A=w^2+4w[/tex]

Given that the area is 60 square meters

Replace A by 60  and solve for 'w'

[tex]60=w^2+4w\\w^2+4w-60=0\\(w+10)(w-6)=0\\w+10=0, w=-10\\w-6=0, w=6[/tex]

Width cannot be negative, so width = 6 meters

length = width +4 = 6+4=10 meters

Dimension of rectangular bed is

length = 10 meters and width = 6 meters

Learn more: brainly.com/question/19579804

slope
y intercept
x intercept​

Answers

Answer:

Step-by-step explanation:

y = mx + b

Here, m is the slope.

b is the y-intercept

x-intercept = -b/m

y = 3x -4

a) slope = 3

b) y-intercept = (-4)

c)  x -intercept = -(-4)/3 = 4/3

[tex]y = \frac{1}{5}x-3[/tex]

a) slope =  [tex]\frac{1}{5}[/tex]

b) y-intercept = (-3)

c)  x -intercept = [tex]-\frac{1}{5}[/tex]÷(-3)

                      [tex]= \frac{-1}{5}*\frac{-1}{3}\\\\=\frac{1}{15}[/tex]

       

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PLS SHOW THE WORK!!!!!!!!

Answers

Answer:

The answer is (-4/11, -19/11)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation. Hoped this helped!

Brainly, Please?

use the volume formula to find the volume of the prism.

Answers

Answer:

Step-by-step explanation:

Answer:12 1/2

Step-by-step explanation:

Match each statement with the correct reasoning in the proof below given: AM = CM BM=DM

Answers

Answer: I think it’s cm = b, I think your image is very hard to see

Step-by-step explanation:

The given quadrilateral is a parallelogram.

What is a parallelogram?

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

The proof is as follows;

          STATEMENTS                                       REASONS

1)  AM = CM and BM = DM                                    Given

2) m ∠ AMB = m ∠ DMC and

m ∠ AMD = m ∠ BMC                          Definition of Vertical angles

3) Δ AMB ≅ Δ DMC and

Δ AMD ≅ Δ BMC                                 By SAS congruency criterion

4) AB = CD and

BC = AD                                                BY CPCTC

5) ABCD is a parallelogram                If both pairs of opposite sides of a                                      

                                                           quadrilateral are congruent then it is    

                                                                           a parallelogram.

Hence, proved, ABCD is a parallelogram.

For more references on parallelograms, click;

https://brainly.com/question/29147156

#SPJ6

on their first day, researchers explore a part of the ocean floor that is 60 feet below sea level. This depth can be represented by the integer -60. On their secon dive, researchers explore a deeper depth.
Write an inequality that represents the possible depth, d, of the researchers' second dive.

Answers

Answer:

d < - 60

Step-by-step explanation:

Given that:

Depth, d of ocean floor on first dive = 60 feets below sea level = - 60

Depth, d explored on second dive is deeper than that of fist dive

Hence, possible depth, d, explored on second dive can be represented by the inequality ;

d < - 60

What is the value of d in the equation?
d'= 14

Answers

3/4 as a number = 0.75

So 1.75 x d = 14

14/1.75 = d

14/1.75= 8

D = 8

. Suppose that 10 students of a class of 50 undergraduates are chosen for a behavioral experiment. The total class consists of 15 freshmen, 18 sophomores, 10 juniors, and 7 seniors. If all students are equally likely to be picked, determine the probability of the group contains exactly seven seniors and three juniors.

Answers

Answer:

Approximately 0% probability of the group contains exactly seven seniors and three juniors.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the students are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

7 seniors, from a set of 7.

3 juniors, from a set of 10. So

[tex]D = C_{7,7} \times C_{10,3} = \frac{7!}{7!(7-7)!} \times \frac{10!}{3!(10-3)&} = 1 \times 120 = 120[/tex]

Total outcomes:

10 students froms a set of 50. so

[tex]T = C_{50,10} = \frac{50!}{10!(50-10)!} = 10272278170[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{120}{10272278170} \approx 0[/tex]

Approximately 0% probability of the group contains exactly seven seniors and three juniors.

what information is necessary to prove the triangles congruent by ASA? by AAS ? show your work please.​

Answers

Answer:

See Explanation

Step-by-step explanation:

For ASA

[tex] \angle R \cong \angle E[/tex]

[tex] RQ \cong EF[/tex]

[tex] \angle Q \cong \angle F[/tex]

[tex] \triangle PRQ \cong \triangle GEF[/tex]

For AAS

[tex] \angle P \cong \angle G[/tex]

[tex] \angle R \cong \angle E[/tex]

[tex] RQ \cong EF[/tex]

[tex] \triangle PRQ \cong \triangle GEF[/tex]

An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes. The taxi time has a bell/mound shape distribution. On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time. Round the final answer to 2 decimal places.

Answers

Answer:

The z score for your flight's taxi time is of 2.14.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes.

This means that [tex]\mu = 15, \sigma = 1.4[/tex]

On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time.

This is Z when [tex]X = 18[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{18 - 15}{1.4}[/tex]

[tex]Z = 2.14[/tex]

The z score for your flight's taxi time is of 2.14.

You can convert the variate which tracks heights of trees to standard normal variate. That value of standard normal variate is called the z score and shows the area of the considered area in the plot of the standard normal distribution.

The z score for our flight's taxi time is approx 2.14286

How to convert a normal distribution variate to standard normal distribution variate?

Suppose you  have got a normal distribution variate with mean  [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] (let the variate is denoted by X), then we have

[tex]X \sim N(\mu, \sigma)[/tex]

To convert it to standard normal distribution with mean 0 and the standard deviation as 1 ( [tex]Z \sim N(0,1)[/tex] ), we have:

[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

For the given case we have:

Let the average taxi time be tracked by random variable X, then, as the mean time is 15 minutes, and the standard deviation 1.4 minutes , thus,

[tex]X \sim N(15, 1.4)[/tex]

Converting it to standard variate:

[tex]Z = \dfrac{X - 15}{1.4}[/tex]

Since the observed taxi time was 18 minutes, thus, we have X = 18,

Getting the z score:

[tex]Z = \dfrac{18 - 15}{1.4} = \dfrac{3}{1.4} \approx 2.14286[/tex]

Thus,

The z score for our flight's taxi time is approx 2.14286

Learn more here about normal distribution here:

brainly.com/question/14989264

The line across which a figure is flipped is called the line of transformation.
True
False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Which expression is equivalent to 6(c+8)?

Answers

Answer:

Step-by-step explanation:

You haven't provide expressions to choose from.

6(c+8) = 6c+48

Answer:

6c + 48

Step-by-step explanation:

6/5 of ______ is 30
Please help

Answers

6x30=180
—————-
5x1= 5
180/5=36
5/5 =1
36/1
Answer : 36

It is 36.

180/5 = 36

5/5 = 1

When we put that together, we can see that our complete answer is:

36/1  

The complete and simplified answer to the question what is 6/5 of 30 is:

36.

I NEED HELP FAST Zane is determining whether the given value of the variable is a solution of the equation.

13 + h = 21 for h = 9

What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.

Answers

There are two ways to verify whether the value of ( h ) assumed to be equal to 9 satisfies the given equation:

                          13 + h = 21

                          13 - 13 + h = 21 - 13

                           0 + h = 8

                           h = 8                

                           8 ≠ 9    

 

                          13 + ( 9 ) = 21

                              22 = 21

                              22 ≠ 21

 3) Conclude: The given value of ( h ) is not a solution of the given equation.

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