For a certain company, the cost for producing x items is 60x+300 and the revenue for selling x items is 100x−0.5x2 .



The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit!



Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.)



Part b: Find two values of x that will create a profit of $50 .



The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;6 or x+1;x−1 ). The order of the list does not matter. To enter a−−√ , type sqrt(a).

Answers

Answer 1

The equation for the profit from selling the items is P =  40x-0.5x²-300. The values of x are 10 and 70.

How to solve for the expression

We have the cost function in this question to be

Cx = 60x+300

Revenue = 100x−0.5x²

A. The revenue function is stated as the revenue - cost

= (100x−0.5x²)-60x+300

We have to open the equation

40x-0.5x²-300

B. when profit is 50 dollars

50 = 40x-0.5x²-300

We have to multiply both sides by 10

500 = 400x - 5x² - 3000

We have to collect like terms and form a quadratic equation

5x² - 400x - 3500 = 0

We have to solve the quadratic equation above using a quadratic calculator.

Hence

x = 10, 70

So the two values that would create a profit of 50 dollars is 10 and 70.

Read more on quadratic polynomials here:

https://brainly.com/question/25841119

#SPJ1


Related Questions

Different types of angels

Answers

Step-by-step explanation:

assuming you are looking for angles and not angels:

Zero Angle (0° in Measure)

Acute Angle (0 to 90° in Measure)

Right Angle (90° in Measure)

Obtuse Angle (90 to 180° in Measure)

Straight Angle (180° in Measure)

Reflex Angle (180 to 360° in Measure)

Complete Angle (360° in Measure)

gary cycled a total of 8 kilometers by making 4 trips to work. How many trips will gary have to make to cycle a total of 10 kilometers?

Answers

7 cause that’s what I got

Answer:

5

Step-by-step explanation:

Each trip adds up to 8/4 = 2 km

According to this, to travel 10 km is required:

10/2 = 5 trips

Hope this helps

hello please help with my question, I will give brainlyest!

Answers

No, John is incorrect.

Correct work shown:

[tex]\sf x^2 - 6x - 7 = 0[/tex]

[tex]\sf x^2 - 6x = 7[/tex]

[tex]\sf x^2 - 6x + 9= 7 + 9[/tex]

[tex]\sf (x-3)^2= 16[/tex]

[tex]\sf x-3=\pm \sqrt{16}[/tex]

[tex]\sf x-3= \pm 4[/tex]

[tex]\sf x= + 4 + 3 \quad or \quad x = -4 + 3[/tex]

[tex]\sf x= 7 \quad or \quad x = -1[/tex]

The correct answer should be x = 7 or x = -1

If xm/x5=x7 and (x)=x¹2, then the value of m-r= A. 3 B. 4 C. 8 D. 12 If xm / x5 = x7 and ( x ) = x¹2 , then the value of m - r = A. 3 B. 4 C. 8 D. 12​

Answers

The difference between m and r from the given expressions is 8

Indices and exponents

Given the following exponents

x^m/x^5=x^7

x^m = x^5 * x^7

x^m = x^12

Equate the powers

m = 12

For the expression

(x^r)³ = x^12

x^3r = x^12

3r = 12

r = 4

Take the difference

m - r = 12 - 4

m - r = 8

Hence the difference between m and r is 8

Learn more on indices and exponent here: https://brainly.com/question/26669360

#SPJ1

Which of the numbers below are some potential roots of p(x) = x3 6x2 − 7x − 60 according to the rational root theorem?

Answers

The potential roots of the function p(x)=[tex]x^{3}+6x^{2} -7x-60[/tex] are -10,-5,3,15.

Given function p(x)=[tex]x^{3}+6x^{2} -7x-60[/tex]

We have to find the potential roots of the function according to rational root theorem.

Root is the solution of an equation usually expressed as a number or an algebraic formula.

The rational root theorem is used to find the potential roots of function.

For a polynomial function:

p(x)=p[tex]x^{n}[/tex]+..............................+q

The potential roots are:

Roots =±factors of q/factors of p

Th factors of 60 are =±1,±2,±3,±4,±5,±6,±10,±12.

The factors of 1 is ±1.

So we have factors are:±1,±2,±3,±4,±5,±6,±10,±12,±15,±20/±1

The  roots are =±1,±2,±3,±4,±5,±6,±0.

Factors:-10,-5,3,15.

Hence the potential roots are -10,-5,3,15.

Question is incomplete as it should includes options :-10,-7,-5,3,15,24

Learn more about rational root theorem at https://brainly.com/question/10937559

#SPJ4

how to find compound rate from given values, 10 years after, and initial

Answers

The formula that calculates the compound rate from the given values is [tex]r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})[/tex]

How to determine the compound interest rate?

The compound interest formula is:

[tex]I = P(1 + \frac rn)^{nt} - P[/tex]

Where:

P represents the principal amountr represents the compound interest raten represents the number of times the interest is compoundedt represents the time in yearsI represents the interest

We start by adding P to both sides

[tex]P + I = P(1 + \frac rn)^{nt}[/tex]

Divide through by P

[tex]\frac{P + I}{P} = (1 + \frac rn)^{nt}[/tex]

Take the nt-th root of both sides

[tex]\sqrt[nt]{\frac{P + I}{P}} = 1 + \frac rn[/tex]

Subtract 1 from both sides

[tex]-1 + \sqrt[nt]{\frac{P + I}{P}} = \frac rn[/tex]

Multiply through by n

[tex]r = n(-1 + \sqrt[nt]{\frac{P + I}{P}})[/tex]

In this case, t = 10

So, we have:

[tex]r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})[/tex]

Hence, the formula that calculates the compound rate is [tex]r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})[/tex]

Read more about compound interest at:

https://brainly.com/question/13155407

#SPJ1

A square has a perimeter of 12x+25 units. Which expression represents the side length of a square and units

Answers

Answer:

3x+13 units

Step-by-step explanation:

square perimeter of 12x +52 units

perimeter= 12x +52

12x + 52= 4(sides)

divide both sides by 4 = 12x/4 + 52/4= 3x+13

which give you 3x +13 units

In which quadrants do solutions for the inequality y≤x-4 exist?
OI, III, and IV
OI, II, and III
OI and IV
All four quadrants

Answers

Answer:

  (a)  I, III, and IV

Step-by-step explanation:

We want to identify areas on a graph where the solutions to an inequality might be found.

Boundary line

The boundary line for the inequality y ≤ 2/3x -4 has a positive slope and a negative y-intercept. That means it must pass through quadrants I, III, and IV.

Solution set

Quadrant II is above the line, but the y ≤ () inequality tells you the shading is below the line, where y-values are less than those on the line. There can be no solutions in quadrant II.

Solutions are found in quadrants I, III, and IV.

___

For reference, the second attachments shows the quadrant numbering.

The next number in the series 0,7, 26, 63 is?

Answers

Answer:

124

Step-by-step explanation:

1^3-1=0

2^3-1=7

3^3-1=26

4^3-1=63

5^3-1=124

Hence the next one in the pattern is 124.

124
0 , 7 , 26 , 63 , … 1 3 − 1 = 0 2 3 − 1 = 7 3 3 − 1 = 26 4 3 − 1 = 63 5 3 − 1 = 124 Hence, the answer is 124.

Identify the underline place 75.733

Answers

Answer: Digit Place Value

                7                Tens

                5                Ones

                 .  

                7                Tenths

                3                Hundredths

                3                Thousandths

Step-by-step explanation: this should help its not the answer but it's support

Here are the ages (in years) of 10 professors at a college. 49, 43, 53, 41, 33, 67, 55, 34, 75, 55 What is the percentage of these professors who are younger than 55? ​

Answers

Answer:

60%

Step-by-step explanation:

There are 6 professors younger than 55 (49, 43, 53, 41, 33, 34).

6/10 = 60%

Find the quotient: 40 ÷ 7

Answers

Answer:

5.71428571429

Step-by-step explanation:

Most teachers would be okay if you left it as 40/7, but in case they’re picky, just enter it into a calculator.
You should get around 5.714.
Or you can use long division. Remember that 40 is the same thing as 40.000

John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10. Write an equation to model this situation, and find the cost of one large drink.

Answers

Answer:

$2.55

Step-by-step explanation:

2d + $14.00 – $7.00 = $12.10; $2.55

Be sure that you show all of your work to reach your answer. Each step must be on a separate line. Your method to reach your answer must be clear and include explanations.

Be sure to only round at the last step for your final answer.


You plan to purchase a house for $525,000 and you will make a 20% down payment. You are evaluating two mortgages a 30-year fixed mortgage at 2.72% and a 15-year fixed mortgage at 2.25%. Your goal is to have a monthly payment that fits within your budget.

a. Which mortgage will give you the lowest monthly payment? What will that payment be? How much less will this be than the other monthly mortgage payment?

b. Assuming you take the full term of the mortgage, which mortgage will result in you paying the most interest? What will that interest be? How much more will this be than the interest on the other mortgage?

R= regular monthly payment
p= amount financed, or principal
r= rate written as a decimal
n= number of payments per year
t= number of years

Needs to be easy to read.

Answers

The mortgage that will give the lowest monthly payment is EMI1 which translates to $ 1,708.16; and method one will require payment of the highest interest.

What is mortgage?

A mortgage is an arrangement between you and a lender that provides the lender the right to repossess your property if you fail to repay the loan plus interest.

Mortgage loans are used to purchase a property or to borrow money against the value of an existing home.

What is the calculation for the above?

Given that:

Total amount = $525,000

Down payment = 20% = 0.2

Method 1: Time is 30 years and rate is 2.72%

Method 2: Time is 15 years  and the rate is 2.25%

Loan amount  = total amount less down-payment

= 525,000  - (0.2 * 525,000)

= $420, 000

Using Method 1

Given that t = 30 year or 360 months

r = 2.72% or 0.0272

EMI1 =  [ 420, 000 * (0.0272/12) * ( 1 + (0.0272/12)³⁶⁰]/ [( 1 + (0.0272/12)³⁶⁰ -1]

= [952  * 2.259]/1.259

EMI1 = $ 1,708.16

Using Method 2

t = 15 years or 180 months

Rate = 2.25% or 0.0225

EMI2 =  [420,000 * (0.0225/12) * ( 1 + (0.0225/12)¹⁸⁰]/ [( 1 + (0.0225/12)¹⁸⁰ --1]

= [787.5 * 1.401]/0.401

EMI2 = $2,751.34

Assuming you take the full term of the mortgage, which mortgage will result in you paying the most interest?

Method 1

Interest = EMI1 x total months - loan amount

=  1,708.16 x 360 - 420,000

= $194, 937.6

Method 2

Interest = EMI2 x total months - loan amount

2,751.34 x 180 - 420,000

= $75,241.2

From the above method 1 requires the highest interest.

Learn more about mortgages at;
https://brainly.com/question/1318711
#SPJ1

In Washington county , 850 homes were sold in 2017 . How many homes was sold in the southwest region.

Answers

The number of homes sold in the Southwest region in 2017was B. 102.

What are Regional Sales?

Regional sales refer to the sales recorded by marketing and sales regions through which an organization distributes its products and services.

Recording sales by region helps management to determine regional managers' performances and contributions to the sales efforts.

Data and Calculations

Sales in Washington county:

Southeast = 48%

Southwest = 12%

Northwest = 25%

Northeast = 15%

Sales of homes in the Southwest region = 102 (850 x 12%)

Question Completion with Answer Options:

A. 1,020

B. 102

C. 588

D. 1,231

Thus, the homes sold in the Southwest region in 2017 were B. 102.

Learn more about analyzing regional sales at https://brainly.com/question/27026647

#SPJ1

The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer about a complaint is normally distributed, with a mean of 8.9 minutes and a standard deviation of 2.8 minutes. What is the probability that for a randomly chosen customer with a complaint, the amount of time spent resolving the complaint will be as follows. (Round your answers to four decimal places.)


(a) less than 10 minutes


(b) longer than 5 minutes


(c) between 8 and 15 minutes

Answers

Using the normal distribution, the probabilities are given as follows:

a) 0.6517 = 65.17%

b) 0.0823 = 8.23%.

c) 0.6109 = 61.09%.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 8.9, \sigma = 2.8[/tex]

Item a:

The probability is the p-value of Z when X = 10, hence:

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

[tex]Z = \frac{10 - 8.9}{2.8}[/tex]

Z = 0.39

Z = 0.39 has a p-value of 0.6517.

0.6517 = 65.17% probability that the time is less than 10 minutes.

Item b:

The probability is the one subtracted by the p-value of Z when X = 5, hence:

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

[tex]Z = \frac{5 - 8.9}{2.8}[/tex]

Z = -1.39

Z = -1.39 has a p-value of 0.0823.

0.0823 = 8.23% probability that the time is more than 5 minutes.

Item c:

The probability is the p-value of Z when X = 15 subtracted by the p-value of Z when X = 8, hence:

X = 15:

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

[tex]Z = \frac{15 - 8.9}{2.8}[/tex]

Z = 2.18

Z = 2.18 has a p-value of 0.9854.

X = 8:

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

[tex]Z = \frac{8 - 8.9}{2.8}[/tex]

Z = -0.32

Z = -0.32 has a p-value of 0.3745.

0.9854 - 0.3745 = 0.6109 = 61.09%.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

The age of undergraduate students at the U of A has a mean (µ) of 20.66 and a population standard deviation (s) of 2.4. What percentage of students are 21 or older and thus old enough to legally order alcohol at Griff's?

Answers

Using the normal distribution, it is found that 44.43% of students are 21 or older and thus old enough to legally order alcohol at Griff's.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 20.66, \sigma = 2.4[/tex]

The proportion of students that are 21 or older is one subtracted by the p-value of Z when X = 21, hence:

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

[tex]Z = \frac{21 - 20.66}{2.4}[/tex]

Z = 0.14

Z = 0.14 has a p-value of 0.5557.

1 - 0.5557 = 0.4443 = 44.43% of students are 21 or older and thus old enough to legally order alcohol at Griff's.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

Choose the most convenient method to graph the line x=8.

Select the correct answer below:


Recognize the equation as that of a vertical line passing through the x-axis at 8

Recognize the equation as that of a horizontal line passing through the y-axis at 8

Identify the slope and y-intercept and then graph

Find the x- and y-intercepts and then graph

Answers

Answer:

Recognize the equation as that of a vertical line passing through the x-axis at 8

Answer:

the first option : vertical line passing through the x-axis at 8.

Step-by-step explanation:

x = 8

is a special case of a line equation.

it means that it contains all points for which x = 8.

so, e.g.

(8, -26), (8, - 7), (8, 0), (8, 3), (8, 57), ...

in other words, any y value is possible, but x is constant 8.

therefore, it is one vertical line going through 8 on the x-axis.

the is therefore no y-intercept.

this line equation maps all y values from -infinty to +infinity to the x value of 8. and FYI - it is therefore not a function (where each x value has exactly one assigned y value).

the slope of such a line is infinite or even more accurate undefined.

as the slope is y difference / x difference, x difference is always 0. something divided by 0 is officially undefined and often considered as infinite.

the opposite extreme is something like

y = 8

this is now the line that contains all points with y = 8.

any x-value is possible, but y is always 8.

that is a horizontal line that goes through the y-axis at 8.

and in fact, this is a function, as every x value has exactly one assigned y value (they are all 8, but that does not matter).

there is no x-intercept, of course.

and the slope is 0, as the slope is y difference / x difference, and the y difference is always 0. 0 divided by something is 0.

cting Polynomials: Practice
Question 1 of 5
Select the correct answer.
Let p(x) be a polynomial as shown below, and let b be an integer.
p(=) = a₁ + a₁ + a₂=² + ... + an In
Which of the following is true regarding the sum and difference of p(x) and b?
O
The sum-and difference of p(x) and b are integers.
The sum and difference of p(x) and b are polynomials.
The sum of p(x) and b is a polynomial, and the difference is an integer.
The sum of plx) and b is an integer, and the difference is a polynomial.
Submit
Reset

Answers

The option that's true regarding the sum and difference of the polynomial p(x) and b is B. The sum and difference of p(x) and b are polynomials.

How to illustrate the information?

From the information given, it was stated that p(x) is a polynomial and is given as p(=) = a₁ + a₁ + a₂=² + ... + an.

In this case, it should be noted that the sum and difference of p(x) and b are polynomials.

They can't be integers as the function given is represented as a polynomial.

In conclusion, the correct option is B.

Learn more about polynomial on:

brainly.com/question/16340513

#SPJ1

Hi- I need help please to get my HS diploma...did not graduate :(

For the inequality y+4x≤x2+2, where is the graph shaded and is the curve solid or dotted?

Answers

Answer:

B

Step-by-step explanation:

first for the easy one : the curve line is dotted, if the line points are NOT part of the solution. and it is solid, if the points are included.

you know what the curve line indicates ? it indicates the points for which there is equality.

so, if there is a ">=" or "<=" relation, then that includes equality, and the curve is solid.

if there is only a true inequality ("<", ">"), then the curve is dotted, as the equality is not included.

so, I how this is now really clear.

in our case here (I suspect it really looks like this)

y + 4x <= x² + 2

we have a "<=" sign, so, the curve is ..., well ? ... well ? ...

well ? ... well ? ... solid !

and we still treat inequalities as much as possible as regular equalities.

so,

y <= x² - 4x + 2 (after subtracting 4x from both sides).

and now you see it, right ?

all y values that are smaller or equal to the quadratic expression.

SMALLER ! so, BELOW the curve (as the smaller y values are represented by the lower part of the y-axis).

What is the measure of 2 if 1 is (4x - 4) and 2 is (4x)?

Answers

The measure of <2 is 92 degrees

How to solve for 2?

The complete question is in the attached image

The angles are given as:

<1 = 4x - 4

<2 = 4x

The sum of angles on a straight line is

<1 + <2 = 180

So, we have:

4x - 4 + 4x = 180

Evaluate the like terms

8x = 184

Divide by 8

x = 23

Substitute x = 23 in <2 = 4x

<2 = 4 * 23

Evaluate

<2 = 92

Hence, the measure of <2 is 92 degrees

Read more about angles at:

https://brainly.com/question/7116550

#SPJ1

Suppose that you and a friend are playing cards and you decide to make a friendly wager. the bet is that you will dr6aw two cards without replacement from a standard deck. if both cards are hearts, your friend will pay you $16. otherwise, you have to pay your friend $3. suppose that you and a friend are playing cards and you decide to make a friendly wager. the bet is that you will draw two cards without replacement from a standard deck. if both cards are hearts, your friend will pay you $16. otherwise, you have to pay your friend $3. step 2 of 2 : if this same bet is made 762 times, how much would you expect to win or lose? round your answer to two decimal places. losses must be expressed as negative values. round your answer to two decimal places. losses must be expressed as negative values.

Answers

If the bet is done 762 times then expected value is that we may have a loss of $1562.1if the bet is that is heart comes we will get $16 and lose $3 if not comes.

Given We will get $16 if hearts come and lose $3 when not comes and bet is made 762 times. We have to calculate the expected win after 762 times.

We know that there are 13 hearts in the standard deck of cards.

Probability is the chance of happening an event among all the events possible. The formula of calculating probability is as under:

Probability= number of items/ total number of items.

When two cards are chosen at random without replacement then the probability of getting two hearts is 13/52*12/51

=156/2652

=0.05

When two cards are chosen at random without replacement then the probability of not getting two hearts is 1-0.05

=0.95

When  bet is made only 1 time expected value will be 0.05*16-0.95*3

=0.8-2.85

=-2.05 means we are expecting to lose $2.05.

When bet is made 762 times then the expected value will be -2.05*762=-1562.1.

Hence the expected value when bet is made 762 times is that we will lose $1562.1 .

Learn more about probability at https://brainly.com/question/24756209

#SPJ4

Which of the following is a valid probability distribution? Probability distribution A is shown. The probabilities of 1, 2, 3, 4, 5 and 6 are all 0.2. Probability distribution B is shown. The probability of 1 is 0.1; 2 is 0.2; 3 is 0.3; 4 is 0.3; 5 is 0.2; 6 is 0.1. Probability distribution C is shown. The probability of 1 is 0.1; 2 is 0.2; 3 is 0.4; 5 is 0.1; 6 is 0.1. Probability distribution D is shown. The probability of 1 is 0.2; 2 is 0.1; 3 is 0.1; 4 is 0.5; 5 is 0.1.

Answers

Considering the given probability distribution, distribution D is valid.

When a probability distribution is valid?

A probability distribution is valid if:

There are no negative probabilities.,The sum of all probabilities is of 1.

In this problem:

For distribution A, the sum is of 1.2, hence it is not valid.For distribution B, the sum is of 1.2, hence it is not valid.For distribution C, the sum is of 0.9, hence it is not valid.For distribution D, the sum is of 1, hence it is valid.

More can be learned about probability distributions at https://brainly.com/question/23670007

#SPJ1

PLESE HELP ME ASAP!!!

Answers

Answer:

Square Root of 7 = 7^1/2    = 2.646

Cubed Root of 7 = 7^1/3    = 1.913

Square Root of 7^3 = 7^3/2     = 3.659

Consider the relationship 3r+8t=3

Answers

The function r =f(t) is f(t) = 1 - 8t/3

How to evaluate the function?

The function is given as:

3r + 8t = 3

Make r the subject

3r = 3 - 8t

Divide by 3

r = 1 - 8t/3

This means that:

f(t) = 1 - 8t/3

To calculate f(-3), we have:

f(3) = 1 - 8 * 3/3

Evaluate

f(3) = -7

Also, we have:

1 - 8t/3 = 2

Add 2 to both sides

-8t/3 = 3

Solve for t

t = -9/8

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ1

Complete question

Consider the relationship 3r+8t=3

Write the relationship as a function  r = f(t)

Evalute f(-3)

Solve for f(t) = 2

Which choice is equivalent to the quotient shown here for acceptable values of X?
√7x² ÷ √3x

A x(√7x/3)
B √21x³
C (√7x/3)
D (√7x³/3)

Answers

The choice that is equivalent to the quotient values of X in √7x² ÷ √3x is Option C : (√7x/3).

What is the quotient about?

Since the expression is √7x² ÷ √3x

So, one need to  rationalize the denominator and thus:

√7x² ÷ √3x  x √3x  ÷ √3x  

or write as √7x² x√3x ÷ √3x

or write as√(21x³)/3x

or write as √3*7*x³/3x

or write as √3*7*x/3

= √7x/√3

Therefore, The choice that is equivalent to the quotient values of X in √7x² ÷ √3x is Option C : (√7x/3).

Learn more about quotient from

https://brainly.com/question/12152746

#SPJ1

Solve for x
x - 20 + 2x = 35

Answers

[tex] \sf{\red{ANSWER \: \: :}}[/tex]

x = 18 1/3

[tex] \sf{\purple{EXPLANATION \: \: :}}[/tex]

x - 20 + 2x = 35

- 20 + 3x = 35

3x = 35 + 20

3x = 55

x = 55/3

x = 18 1/3

A number line going from negative 3 to positive 5. A closed circle is at negative 1.5. Everything to the left of the circle is shaded. Which inequalities have the solution set graphed on the number line? Check all that apply. x Greater-than-or-equal-to -1.5 x Less-than-or-equal-to -1.5 -1.5 Less-than-or-equal-to x -1.5 Greater-than-or-equal-to x x Less-than-or-equal-to -2.5 x Greater-than-or-equal-to -2.5 -2.5 Greater-than-or-equal-to x

Answers

the inequality in the number-line is:

x ≤ -1.5

Which inequality is represented?

We know that we have a closed circle at -1.5, this means that the value is a solution of the inequality.

Then we have a line that goes to the left of that circle, so the inequality will have solutions that are less than or equal to -1.5

Then the inequality is:

x ≤ -1.5

If you want to learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

Answer:c

Step-by-step explanation:

trust me

Find the sum of the measures of the interior angles of the figure.

Answers

Answer:

[tex]\huge\boxed{\sf 900}[/tex]

Step-by-step explanation:

Sides of the figure = n = 7

Formula for measuring the interior angles of a polygon:

(n - 2)×180

Where n is the number of sides in the polygon

So,

Measure of interior angles in the figure:

= (n - 2) × 180

= (7 - 2) × 180

= 5 × 180

= 900

[tex]\rule[225]{225}{2}[/tex]

Answer: 720°

Step-by-step explanation:

- Assuming this is a regular hexagon, all the sides are equal and all the angles are equal

- One of the properties of a regular hexagon is that the sum of all the interior angles is 720°

- Since the sum of all the interior angles is 720°, this means each interior angle is 120°

hope this helps :)

The fine schedule for overdue books at the county library is modeled by the values in the table.

Library Fines for Overdue Books
Days overdue
Amount of fine
0
0 ¢
2
5 ¢
4
10 ¢
6
15 ¢
8
20 ¢
10
25 ¢

Which equation best models the fine schedule for overdue books?

Answers

Thus, the required equation is given by Y = 5/2X.

Given data can tabulate is
Days overdue(x)  = 0  2  4  6  8  10

Amount of fine(y) = 0  5  10  15  20  25

What is equation?

equation is the relationship between variable and represented as     is example of polynomial equation.

Since, the as for every value of x, y grows linerely.

Equation can be given as for every 2 step of x, y increase 5 steps
therefore, y = 5/2x

Thus, The required equation is given by  y = 5/2x

Learn more about equation here:

brainly.com/question/10413253

#SPJ1

Other Questions
I NEED HELP ASAP PLEASE ILL DO ANYTHINGWrite an instructional document that instructs someone how to use a cell phone for basic purposes, including makingcalls and sending messages. Your target audience is a child who has never used a cell phone before. Remember thatyour primary objective is to teach or instruct your reader.You will need to follow the rules of grammar by centering your title, indenting paragraphs, and using correct punctuationand capitalization. Your document should be one page in length, double-spaced, 12-point, Times New Roman font, andinclude brief chunks of information and bullet points/numbered lists. Include at least one visual in your document, such as a graph, diagram, or chart. Your document should also include an introduction to your topic and a short review at the end. What buoyant force is exerted on a 6,000-mL toy balloon by the air surrounding the balloon? The density of air is 0.0009 g/mL The amino acid chain breaks away from the ribosome and folds into a protein.The ribosome moves along the mRNA. tRNA molecules bring the amino acids coded for by the RNA from the cytoplasm and begin to assemble them.The RNA strand leaves the nucleus and travels to a ribosome.The amino acid chain grows as more amino acids are brought from the cytoplasm. Select the correct order of steps in the process of translation:A. 1, 2, 3, 4B. 2, 3, 4, 1C. 3, 2, 4, 1D. 4, 3, 2, 1 In an economy in which decisions are guided by prices and individual self-interest, there is:. What is the most accepted time frame associated with the MOV SEP code? The Slavs a. became Roman Catholic, with the exception of the Russians, Turks and Magyars. b. briefly occupied northern Italy. c. converted to Islam after the First Crusade. d. were divided into two religious groups, with most southern and eastern Slavs becoming Orthodox and most northern and western Slavs becoming Roman Catholic. e. divided into seven specific groups during the Middle Ages. Madison promises Grace $10 if Grace collects her dry cleaning for her. This is an example of a(n) ________ contract. Group of answer choices void voidable unenforceable bilateral unilateral Pretend you are Rossano Ferretti giving advice to a friend who wants to become a hair stylist. In 2-3 sentences explainto your friend how he overcame the traditional supply and demand in labor to be a millionaire. Which sector of society paid the lowest amount to attend plays at the globe theatre? the middle class paid the lowest amount. the lower class, the groundlings, paid the lowest amount. the upper class paid the lowest amount. the globe was free to everyone. Find the solutions to the equation below.Check all that apply.2x +9x+4=0A. x = -4B. X= 4C. X=-3D. X= 70 E. x= -1/2F. X=2SUBMIT what do the tenant farmers hope to do with the money they make selling their possessions Triangles J K L and M N R are shown. In the diagram, KL NR and JL MR. What additional information is needed to show JKL MNR by SAS?J ML RK NR K explain about 3 pulley sytem and 4 pulley system and both of their uses. Water freezes at 0^\circ0 0, degrees Celsius.Manoj's water is 3^\circ3 3, degrees Celsius.Leo's water is 7^\circ7 7, degrees Celsius.Whose water matches each description?Manoj's waterLeo's waterIs at a greater temperatureIs closer to freezing\quad calculate exact value of 4 1/5-(1 1/9 3) Who challenged the traditional belief that the orbits of the planets were spherical, showing that the five known planets moved around the sun in elliptical paths $10.14 is what percent of $8.45?Write your answer using a percent sign (%). For example, 0.5%, 12.7%, or 56%. Americans who supported Manifest Destiny believed that the United States shouldacquire colonies in other parts of the world.develop only the nations existing territory.spread across the continent to the Pacific Ocean.share territory peacefully with Indigenous peoples. The diagram below shows the different phase transitions that occur in matter. Three bars are shown labeled Solid, Liquid, and Gas. They are connected by arrows labeled 1 to 6. Arrow 1 points from liquid to gas; arrow 2 from solid to liquid, arrow 3 from solid to gas, arrow 4 from gas to liquid, arrow 5 from liquid to solid, and arrow 6 from gas to solid. Which arrow would most likely represent the phase change that involves the same amount of energy as arrow 1? 2 3 4 5 Mark this and r Common denominator for 16/25 and 13/20