A painter starts with a blank 36-inch by 24-inch piece of rice paper. The painter wants to leave a uniform border x inches wide along the outer edges so that the painting can be framed. Write a polynomial in standard form that represents the area of paper that can be painted.

Answers

Answer 1

Base: B=24-2x
Height= H=36-2x
Area of paper that can be painted: A=BH
A=(24-2x)(36-2x)
A=864-48x-72x+4x^2
A=4x^2-120x+864

Answer: The area of paper that can be painted is 4x^2-120x+864

Related Questions

A family has an annual income of $30,600. Of this, 1/4 is spent for food, 1/5 for housing 1/10 for clothes, 1/9 for savings, 1/4 for taxes, and the rest for other expenses. How much is spent for housing?

Answers

Final answer:

To find out how much is spent on housing from an annual income of $30,600, calculate 1/5 of the amount which equals $6,120.

Explanation:

The student is seeking to determine how much money is spent for housing from a family's annual income of $30,600, given that 1/5 of this income is allocated for housing expenses. To find the amount spent on housing, we need to calculate 1/5 of the family's annual income.

Here's a step-by-step explanation:

Start with the family's annual income: $30,600.Calculate the fraction of this income that goes to housing, which is 1/5.Perform the calculation: (1/5) * $30,600 = $6,120.

Therefore, the amount spent on housing by the family is $6,120 per year.

plz help rohanfighter, ur the smartest

Answers

250 would be the answer to fill in the blank because 3000/12= 250.

Hole this helped!
Please mark me as brainlyiest if correct!

The distance between NYC and Los Angeles is ~3000 miles

let us just say that it is 3000 miles

It is 12 inches from NYC to LA by the string and map

divide 3000 and 12 together

3000/12 = 250

250 miles is your answer

hope this helps

List from least to greatest. 0, |−14|, 13, −12, |−16|, 17
A. |−16|, |−14|, 13, −12, 0, 17
B. −12, 0, 13,|−14|,|−16|, 17
C. −12, |−14|, |−16|, 0, 13, 17
D. 0, −12, 13, |−14|, |−16|, 17

Answers

B. −12, 0, 13,|−14|,|−16|, 17

Lexie needs to buy 105 vases for a party each package has 6 vases how many packages should lexi buy

Answers

18 packages. you need to divide 105 by 6, which is 17.5. You can't buy half a package so you need 18.

18 cause 105 divided by 6 is 17.5 so she would have three left over

PLEASSSEE HELPP WITH THIS MATH!!!

Answers

A rational number is a number that has an ending to it. A irrational number is a number that continues on.

1) rt(64) is a rational number, because it breaks down into 8 x 8 , which can be moved outside the root (if there is a pair of numbers, it is moved out of the root and considered a whole number)

2) rt(84) is considered a irrational number, because it equals 9.16515138991...

3) B and D, for rt(25) = 5, and 1.15 have an end to the number, and does not continue forever

hope this helps

what is negative 3 times negative one half

Answers

So then -3 times -0.5 is 1.5

the answer to your question is -1.5
hope this helps

What is the answer to 1 and 2?

Answers

1. Each segment is the hypotenuse of a 3-4-5 right triangle, so is length 5. The four segments lengths add to 20 units (B).

2. Half the perimeter is 9.47, so the perimeter rounded to the nearest unit will be 19 units (C).

The sides parallel to the x-axis are 5 units long. The slanted sides have a rise of 4 for a run of 2, so are √(2^2 +4^2) = √20 ≈ 4.47 units long. Then the perimeter is 2(5 +4.47) = 18.94 ≈ 19.

State a true conclusion.

1) If it is June, then it is summer.
2) It is summer.

Conclusion:

Answers

June is in the summer and we are now in the month of June

Final answer:

In the conditional logic given, 'If it is June, then it is summer' and 'It is summer', we can infer the conclusion 'It can be June'. However, it is important to note this is a potential conclusion and not a definite one since other months exist in the summer. This kind of conclusion is an example of the converse fallacy, or affirming the consequent.

Explanation:

The question provided presents a logical statement in the form of a conditional statement. In logical reasoning and mathematics, a conditional statement is a statement of the form 'if P then Q', where P and Q are both statements. Here, the statement 'If it is June, then it is summer' is the given condition. The statement 'It is summer' is the second statement. A conclusion can be drawn using both of these statements. According to the rules of the logic, we can conclude that 'It can be June.' Remember, we cannot definitively say it 'is' June because there could be other months during the summer. This type of conclusion comes under the inference rule known as the 'converse fallacy' or 'affirming the consequent', where if the consequent (Q - the 'then' clause) is true, the antecedent (P - the 'if' clause) might also be true, but it could also possibly be false due to other factors.

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figure 1 is dilated to get figure 2.
What is the scale factor.
enter your answer, in simplest form, in the box

Answers

your answer would be 2.25 because 8 times 2.25 is 18

Smaller triangle is pre-image. The larger one is the image.
Always put the image on top when you are trying to make it into a fraction, and put the pre-image on the bottom. Since the image is 18 we put the it on top and the 8 (pre-image) on the bottom 18. 18/8. Divide it. 18 ÷ 8.

Final answer: 2.25

Which of the following represents the most accurate estimation of 388 - 212?

Answers

The right answer is 176

Mr. Anderson's 5th grade class is getting a class pet. 7 students voted to get a gerbil three voted for fish six voted for a mouse and 4 vote for a lizard. What is the model of the data? What does it mean for this situation?

Answers

You have to add it up 7+4+6+3

given a and b are numbers,and a+b =180,which statement also must be true ? a=180-b , a-180=b , 360=2a+2b, a=90 and B=90

Answers

a=180-b is same as a+b=180

because you just subtract b from both sides

Final answer:

The statement 'a=180-b', '360=2a+2b', and 'a=90 and b=90' must be true given that a+b=180.

Explanation:

To determine which statement must also be true given that a+b=180, we can substitute the value of a+b in each statement.

a=180-b: If we substitute a+b=180, we get 180-b+b=180. This simplifies to 180=180, which is always true. So, the statement a=180-b must be true.

a-180=b: If we substitute a+b=180, we get a-180+b=0+b. This simplifies to a-180=0, which is not always true. So, the statement a-180=b is not always true.

360=2a+2b: If we substitute a+b=180, we get 360=2a+2b. This simplifies to 360=360, which is always true. So, the statement 360=2a+2b must be true.

a=90 and b=90: If we substitute a+b=180, we get 90+90=180. This simplifies to 180=180, which is always true. So, the statement a=90 and b=90 must be true.

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I need help with 5 & 6 please

Answers

For number 5, the answer is B.
For number 6, the answer is B.
Y are welcome for the help and have a nice day!

help me please i dont know the ans

Answers

Y= 1x because 8/8 = 1

Answer:
y = x - 80

Explanation:
The equation of line in slope-intercept form has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept

1- getting the slope:
To get the slope, we will need two points from the graph. I will choose the two (0,-80) and (60,-20)
slope = (y2-y1) / (x2-x1) = (-20--80) / (60-0) = 1
The equation now is:
y = 1x + c
y = x + c

2- getting the y-intercept:
To get the y-intercept, we will choose a point from the graph, substitute with this point in the equation and solve for c.
I will choose point (0,-80)
y = x + c
-80 = 0 + c
c = -80

Based on the above, the equation of the line is:
y = x - 80

Hope this helps :)

Is the answer b? I'm not sure.

Answers

Where are the options?

Katenka cross country skied a trail that was 3/4 mile each way. after skiing 2/3 of the trail she turned around. What fraction of a mile did katenka ski before she turned around. And I'm sorry that is her name katenka

Answers

She skied 2/3 of the distance of the trail which is the same as saying she skied 2/3 of the 3/4 mile.

To find this distance you multiply 2/3 and 3/4. Multiple across the top (numerators) and across the bottom (denominators) to get 6/12 or 1/2 mile.

You can also cross cancel the 2 and the 4 to make them 1 and 2 and then multiply straight across.

isaac played a video game 20 times and wont about 70% of the games. how many games did he win

Answers

Well, 0.7*20 is 14

So I would say 14 of his games

Hello!

We know that Isaac played 20 games and won about 70% of them. Now, we must find what 70% of 20 is, so that we know how many games Isaac won.

First, convert the percentage to a decimal by dividing it by 100.

70% ÷ 100 = 0.70

Next, multiply the total amount of games Isaac played (20) by about how many he won (0.70):

20 × 0.70 = 14

ANSWER:

Isaac won about 14 games.

A rectangle has vertices at these coordinates.

(1, 7), (1, 3), (9, 3)

What are the coordinates of the fourth vertex of the rectangle?

Enter the coordinates in the boxes.

Answers

The coordinates for the last point would be (9, 7).

Hope I could help!

~Marshy

(9,7) would be the correct coordinates.

what is the slope of the line?

A. 0

B. 6

C. 9

D. undefined

Answers

Answer:

Option A 0

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex]A(2,9)\ B(4,9)[/tex]

Substitute the values

[tex]m=\frac{9-9}{4-2}[/tex]

[tex]m=\frac{0}{2}=0[/tex]

The temperature changed from 78°F to 70°F in the past hour. Write an absolute value statement to describe how much the temperature decreased.

Answers

Final answer:

The absolute value of the temperature change from 78°F to 70°F is 8 degrees Fahrenheit.

Explanation:

To describe how much the temperature decreased from 78°F to 70°F using an absolute value statement, we need to look at the magnitude of the change in temperature, without regard to the direction of change (increase or decrease). The change in temperature can be calculated as the final temperature ([tex]T_f[/tex]) minus the initial temperature ([tex]T_i[/tex]). In mathematical terms, this is expressed as [tex]\\(\Delta T = T_f - T_i)[/tex].

For this specific temperature change:

[tex]\Delta T = T_f - T_i[/tex] = 70°F - 78°F = -8°F

The absolute value of the temperature change is then:

|ΔT| = |-8°F| = 8°F

Therefore, the absolute value statement that describes how much the temperature decreased is "8 degrees Fahrenheit".

I need help with 3 math questions. Here they are: A study of 50 high school students showed that exactly 25 of them took Biology, exactly 20 of them took Chemistry, and exactly 12 of them took both subjects. How many of the 50 students took neither Biology nor Chemistry? From a pile of coins containing nickels (N), dimes (D), and quarters (Q), Tom picked 10 coins with a total value of $1.00. The 10 coins had a different number of each of the three types and at least 1 coin of each type. How many coins of each type did he pick? An Olympiad team is made up of students from the 4th, 5th, and 6th grades only. Seven students are 5th graders, eleven students are 6th graders, and one third of the entire team are 4th graders. How many students are on the team? If you can even answer one question that would be very helpful! Thanks a lot!

Answers

1. Since 12 took both, subtract 12 from 20 and 25.
Now we have 8 taking only chemistry, 13 taking only biology, and 12 taking both. Add all those together to get 33.
Subtract 33 from 50 to get 17, which is the number of students taking neither.

2. He had 3 nickels, 1 quarter, and 6 dimes.
This is an equation that represented his coins:
3n + 1q + 6d = 1.00
3 x .5 = .15 1 x .25 = .25 6 x .10 = .60 .60 + .25 = .85 .85 + .15 = 1.00

3. Add together 7 and 11 to get the 5th and 6th graders: 18 students.
The remaining 4th graders make up 1/3 of the team, so 18 is 2/3 of the team.
Find 1/3 by dividing 18 by 2 to get 9.
There are 9 4th graders.

Hope this helps!

evaluate the volume of the cone.Use ñ=3.14

Answers

The circumference of the base is 40 cm, and this equals 2*pi*r. The radius, r, is found as follows:

40 cm

r = ------------ = 6.369 cm. The area of the base, A = pi*r^2, = 3.14*40.570

2(3.14)

The volume here is V = (1/3)(area of base)*(height)

= (1/3)(127.45)(9) cm^3 = 382.36 cm^3 (answer)

Yesterday it rained 5/8 inch. Today it rained 1/8 inch. What is the total amount of rain for the two days?

Answers

The total amount is 0.75 inches or 3/4 inches.

The total amount of rain for the two days is 2/3 inch.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

Yesterday it rained 5/8 inch.

and, Today it rained 1/8 inch.

So, in two days the amount of rain fall

= 5/8+ 1/8

= 6/8

= 2/3

Hence, total amount of rain is 2/3 inch.

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MATH HELPLEASE. WILL GIVE BRAINLIEST!
What is the measure of AC ?

Enter your answer in the box.

Answers

In a circle, the measure of an inscribed angle is half the measure of the intercepted arc ⇒ AC = 75·2 = 150°

the answer to this question is 150

Jordan has 11.40 to spend at the used book store.each book costs 2.85. How many books can Jordan buy

Answers

He can buy 4 books
11.40/2.85 = 4

Jordan can buy 4 books

Margaret has been told to draw up plans for a 48 square foot flower bed. How many different size flower beds (using whole foot dimensions) can Margaret draw?
A 48
B 24
C 12
D 5

Answers

1. 1x48
2. 2x24
3. 3x16
4. 4x12
5. 6x8
D Margaret can draw 5 possible dimensions

HEEEEEEEEEEEEEEEEEEEEEEEELPPPPPPPPPPPPPP

Answers

Answer:
slope = -9/2

Explanation:
The form of the slope-intercept equation is:
y = mx + c
where:
m is the slope
c is the y-intercept

The given is:
y = -9/2 x

Comparing the given with the general form, we will find that:
m is the slope = -9/2
c is the y-intercept = 0

Hope this helps :)
y = -9/2

Y= 2
Hope this help you

A round above-ground swimming pool has a diameter of 15 ft and a height of 4.5 ft. What is the volume of the swimming pool?

Answers

well you technically need 3 dimensions and know the shape of the pool if you gave me that i could help you!!

Is my math answer correct or no?

Answers

Well the steps you would have to do would be to subtract the two amounts which would be 10000-6000 so it is a 4,000 dollar increase in 2010. For 2011 do the same thing which gives you an increase of 5,000. 4,000 of 10,000 is 40% while 5,000 of 15000 is 33% so you’re correct. 2010 had a greater increase.

Hope this helps!

what is the perimeter of triangle UVW

Answers

count how much spaces from one point on the end of the line to the other.

Line VU has 9 units
Line VW has 12 units
Line UW has:

a² + b² = c²
9² + 12² = c²
81 + 144 = c²
c² = 225
√c² = √225
c = 15
Line UW has: 15 units

Now add all the units together to get the perimeter:

9 + 12 + 15 =
21 + 15 =
36

36 is your answer

hope this helps

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