MODELING WITH MATHEMATICS
You design a frame to surround a rectangular photo. The width of the frame is the same on every side, as shown.

a. Write a polynomial that represents the combined area of the photo and the frame.

b. Find the combined area of the photo and the frame when the width of the frame is 4 inches.

Answers

Answer 1
It’s well be 2 inches ok

Related Questions

Bradley went on a bike ride to the store 6 miles away. If it took Bradley 38 of an hour to get there and 14 of an hour to get back, what was his average rate of speed (miles per hour) for the entire trip? (Hint: To find the average, divide the total distance by the total duration.)

Answers

Answer:

19.2

Step-by-step explanation:

The average speed for the entire trip was 0.23 miles per hour.

What is average speed?

The average speed is the total distance travelled by the total time taken to travel the distance. It does not depend upon the instantaneous speed of the object.

The total distance of the store is 6 miles.

The time taken to reach is 38 hour.

And, the time to come back is 14 hours.

Since, the average  speed is given as the ratio of the  total distance to the total time.

Here, the total distance is 2 times the given distance.

Thus, the average speed is found as.

(6 + 6)/ (14 + 38)

= 12/52

= 3/13

= 0.23

Hence, the average rate of speed for the entire trip is 0.23 miles per hour.

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sam eats 1/4 of a pizza joe eats 1/2 of the remaining pizza. what part of the original pizza is left?

Answers

Answer:

1/4 of the pizza is left

If Sam eats 1/4 of the pizza, we must subtract 1/4 from 1.

1 - 1/4 = 3/4.

Now, Since Joe eats 1/2 of the pizza, we subtract 2/4, since 1/2 = 2/4.

3/14 - 2/4 = 1/4.

Answer = 1/4

can someone please answer this question? thank you! (assignment due today)
15. Find the values of x and y.
(10x – 61)º
(18y + 5)º
(r + 10)º

Answers

Answer:

egc jnpz rof join it on google meet

Aurora has a cell phone plan that charges $65 for phone service plus $12 for each gigabyte of data used each month.If her bill for September is $113, how many gigabytes of data did she use in September?

Enter your answer as a number, like this: 42

Answers

Answer:

4

Step-by-step explanation:

65 + 12x=113

12x=113-65

12×=48

×=48/12

x=4

what is the difference between an independent variable and a dependent variable and how does the independent and dependent variables relate to a graph

Answers

Answer:

Remember, the values of both variables may change in an experiment and are recorded. The difference is that the value of the independent variable is controlled by the experimenter, while the value of the dependent variable only changes in response to the independent variable

Step-by-step explanation:

Answer:

The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.

Step-by-step explanation:

I am a 3 digit number. I have the largest 1 digit number in the tens place , the number that has the same place value always in the ones place and 4 in the hundredth place. Who am I?

Answers

Answer: 490

Step-by-step explanation:

Macon Steinberg purchased a motor scooter with an installment loan that has an APR of 16 percent. The motor scooter sells for $1,687. The store financing requires a 20 percent down payment and 30 monthly payments.

What is the down payment?
What is the amount of the loan?
What is the monthly payment?
What is the total amount repaid?
What is the finance charge?​

Answers

The finance charge is $285

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Given;

An installment loan that has an APR of 16 percent

The motor scooter sells for $1,687

The store financing requires a 20 percent down payment

Monthly payments are for 30months

Now,

Downpayment= cost of scooter*20%

=1687*20%

=$337.4

Amount of finance = Cost of scooter - Down payment

=1687-337.4=1349.6

Interest rate=16%*1/12=1.3% per month

Monthly payment = Amount of finance*I/[1-(1+I)^-n]

=1349.6*1.3%/[1-(1+1.3%)^-30]

=1349.6*0.013(1-0.6780)

=17.5448/0.322

=54.486

Total amount paying for loan over a period = Monthly payment * Term

=54.486*30=1634.6

Amount of finance charge = Total amount paying for loan - Amount of loan

Amount of finance charge =1634.6-1349.6

=285

Therefore, the finance charge by given percent will be $285

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BRO HELP I GOT SO MUCH F'S ANYWAYS WHAT IS 9-(3.7)

Answers

Answer:

5.4

Step-by-step explanation:

9 - 3.7

9 + -3.7 = 5.4

Answer:

5.3

Step-by-step explanation:

Factor 27 + d^ 3completely.

Answers

Answer:

(3+d)(9-3d+d^2)

Step-by-step explanation:

a^3 + b^3 = (a+b)(a^2-ab+b^2)

a= 3

b= d

Mrs. lee bought 2 gallons of apple cider for 7.40. how much does she pay for 5 gallons of apple cider?

Answers

Answer: 18.50$

.....................................................

Evaluate 6-2
A.
36
B.
1
36
C. -36
D. -12.

Answers

It’s -12 because if u multiply u get the same thing

Alex calculates that he has a minimum household budget of 55,600. if he works 200 hours in one month, what is the minimum hourly rate Alex needs to be paid?

Answers

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

what is an equation in point-slope form for (-8,5) and (-3,5)

Answers

Answer:

Step-by-step explanation:

Y-5=-2/5(x + 8)

Chucky grabbed 111111 items in the grocery store that each had a different price and had a mean cost of about \$4.44$4.44dollar sign, 4, point, 44. On his way to the register, he gave in to an impulse to add a 12^\text{th}12 th 12, start superscript, start text, t, h, end text, end superscript item: an entire wheel of cheese that cost \$39.99$39.99dollar sign, 39, point, 99. [Show data] How will adding the wheel of cheese affect the mean and median? Choose 1 answer:

Answers

Answer:

[tex]The[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]B[/tex] = Both the mean and median will increase, but the mean will increase by more than the median

- written in [tex]2/5/2021[/tex]

Write the equation of the line below, in slope-intercept form.

Answers

Answer: y=3x-3

Step-by-step explanation: Formula: y=mx+b The slope is m which is 3, rise over run, and b is the y-intercept which is -3.

Answer:

y=3x+-3

Step-by-step explanation:

the slope is 3/1 which is 3.

the y intercept is the point at which theine crosses te y axis so it's-3

y=mx+b

y=3x+-3

PLEASE HELP ASAP!! I WILL GIVE BRAINLIEST FOR FASTEST AND CORRECT ANSWER!!!!
(IF YOU ONLY ANSWER FOR POINTS I WILL REPORT YOU :)

Line segment AB is shown on a coordinate grid:

1.) A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment AB is shown with A as ordered pair 1, 3 and B as ordered pair 5, 3.
The line segment is reflected about the y-axis to form A′B′. Which statement describes A′B′?
A. A′B′ is half the length of AB.
B. A′B′ and AB are equal in length.
C. A′B′ is greater than twice the length of AB.
D. A′B′ and AB are perpendicular.



2.) Line segment CD is shown on a coordinate grid:

A coordinate plane is shown. Line segment CD has endpoints 1 comma 2 and 1 comma negative 1.
The line segment is rotated 90 degrees counterclockwise about the origin to form C′D′. Which statement describes C′D′?
A. C′D′ and CD are equal in length.
B. C′D′ is parallel to CD.
C. C′D′ is half the length of CD.
D. C′D′ is greater than twice the length of CD.



3.) A shape is shown on the graph:

A coordinate plane is shown. Triangle ABC has vertices 3 comma 0, 3 comma negative 3, and 1 comma negative 3.
Which of the following is a reflection of the shape?
A.) A coordinate plane is shown. A triangle has vertices 3 comma 0, 1 comma 0, and 3 comma 3.
B.) A coordinate plane is shown. A triangle has vertices 2 comma 4, 2 comma 1 and 4 comma 4.
C.) A coordinate plane is shown. A triangle has vertices negative 1 comma 0, negative 1 comma negative 3, and negative 3 comma negative 3.
D.) A coordinate plane is shown. A triangle has vertices at negative 3 comma 0, negative 3 comma negative 3, and negative 1 comma negative 3.


A rotation is shown in the drawing:

A blue triangle is shown labeled Figure K. A dotted line shows a right turn to a green triangle labeled Figure K prime. The new image is directly above the original.
Which statement best describes the rotation?
A. Clockwise 90-degree rotation
B. Clockwise 180-degree rotation
C. Counterclockwise 90-degree rotation
D. Counterclockwise 180-degree rotation

Answers

Answer:

1) choice B, they are equal in length

2) choice A, theyre equal in length

3) Choice D, (-3,0) (-3, -3) (-1, -3)

4) Choice A, Clockwise 90- degree rotation

Step-by-step explanation:

The statements which describe A'B' is:

A'B' and AB are equal in length ⇒ (B)

Step-by-step explanation:

Let us take about reflication:

⇒ Reflections are mirror images, means the shape or the size of

  the figure does not affect by reflection, think of "folding" the

  graph over the y-axis or the x-axis

⇒ On a grid, you used the formula (x, y) → (-x, y) for a reflection in

   the y-axis and used the formula (x, y) → (x, -y) for a reflection in

   the x-axis.

In our question segment AB, where A = (1, 3) and B = (5, 3) is

reflected about the y-axis

By using the rule above

∴ A' =(-1, 3)

∴ B' = (-5,3)

∵ Reflection does not change the shape or the size of the original figure

∴ Line segment A'B' has the same length of line segment AB

The correct answer is:

A'B' and AB are equal in length

You can check your answer by finding the lengths of AB and A'B'

∵ The length of AB = 5 - 1 = 4 units

∵ The length of A'B' = -1 - (-5) = -1 + 5 = 4 units

∴ AB = A'B'

Note:

If the y-coordinates of two points are equal, then the line joining them is horizontal and its length is the difference between the x-coordinates of the two points.

What's the equation of a line that passes through (-4,-7) and (4,-1)

Answers

What's the equation of a line that passes through (-4,-7) and (4,-1)

Answer:

y=-x+3

Answer:

y = 3/4x - 4

Step-by-step explanation:

Slope:

m = (y₂ - y₁) / (x₂ - x₁)

   = (-1 - (-7)) / (4 - (-4))

   = 6 / 8

   = 3/4

y-intercept:

y = mx + b

use the slope above and anyone of the given points to find b. Let's use (4, -1)

(-1) = 3/4(4) + b

-1 = 12/4 + b

- 1 = 3 + b

b = -4

Equation of a line:

y = mx + b

use the m and b from above to form the equation of a line.

y = 3/4x - 4

Please find the value of x with explaination​

Answers

the value of x is 36. is it right or wrong?

Mary has 5 stamps and buys 150 stamps each week. Nick has no stamps and buy 2 stamps each week. when will Mary have more stamps than Nick

Answers

Answer:

She already does have more than Nick!

Step-by-step explanation:

It costs $50 to rent a car plus $3.00 per gallon of gas in the car. Sue can spend at most $86.00 total, so what's the most amount of gallons of gas she can get when she rents the car?


1.Write the inequality (ex. a + bx ≤ c) and show all work to solve the inequality.

2. Explain what your solution means in the context of the problem. (Hint: What's the most amount of gallons Sue can get?)

3. If you were to graph this on a number line would you shade left or right?

Answers

Answer:

i just know you can have 12 gallons of gas

Step-by-step explanation:

because it is 3x2=6

3x10=30 which means 10+2=12

The model represents an equation. What value of x makes the equation true?

Answers

Answer:

i'm pretty sure the answer is x=3

Step-by-step explanation:

Answer: I think it’s x=2

What are the similarities and differences between types of quadrilaterals? Plz help me in math exam ans his qnn i will mark as brainliesttt ⚠

Answers

Answer:

Look below

Step-by-step explanation:

There are many different kinds of quadrilaterals, but all have several things in common: all of them have four sides, are coplanar, have two diagonals, and the sum of their four interior angles equals 360 degrees.

Some differences include the shape and the number of parallel sides each quadrilateral has

Hope this helps :)

WILL MARK BRAINLIEST
Jerome has read 50 pages of a novel. He plans to read a certain number of pages, p, each day from Monday to Friday. Which inequality shows that Jerome wants to have read at least 85 pages by the end of the day on Friday?

A. 50 + 5p ≥ 85
B. 50 + 5p ≤ 85
C. 5 (50 + p) ≥ 85
D. 5 (50 + p) ≤ 85

Answers

Answer:

There ya go

Step-by-step explanation:

If Jerome wants to have read at least 85 pages by the end of the day on Friday, then the inequality that represents the situation will be 50 + 5p≥ 85

Given that the number of pages he read each day is "p", the number of pages he will read from Monday to Friday is 5p (Monday to Friday is 5 days)

If he has read  50 pages of a novel, the total number of books he has read will be 50 + 5p

If Jerome wants to have read at least 85 pages by the end of the day on Friday, then the inequality that represents the situation will be 50 + 5p≥ 85

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Help please!! I’ll give brainlies

Answers

Answer:

90= 1st

59=2nd

48= 3rd

-56=4th

-80=5th

-84=6th

Step-by-step explanation:

Answer:

1 (6th) 90, 2(2nd) -80 3 (3rd) -56 4th(1st) -84 5 (5th) 59 6th (4th) 48

Step-by-step explanation:

Could someone please answer this question!!?

Answers

The answer is 14
..........

transformation takes figure G to figure H?

Answers

Answer:

Reflection

Step-by-step explanation:

there no need step by step it just u got to look at it the shape like this one its a Reflection because its filp

yea it’s a reflection

can someone help me to find a website that gives many exercises in math and science?

Answers

Answer:

Khan Academy

Answer:

khan academy is a great place to go

Step-by-step explanation:

hope this helped!

p.s it would be cool if you gave me brainliest.

Josh took his girlfriend out to dinner for her birthday. Dinner was $74.96. Tax on the meal was 7.5% of the price of the meal. They left a tip that was 18% of the meal and tax. What is the total cost of the meal?

Answers

Answer:

$97.07

Step-by-step explanation:

7.5% of 74.96 is 5.62

18% of 74.96 is 13.49

74.96+5.62+13.49=97.07

A bus makes a stop 2:30 letting off 13 people and lettng on 8. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stol compare to the number pf people on the bus before the 2:30 stop??

Answers

Answer:

The number of people on the bus after the second stop is 8 less than the number of peoples on the bus before the 2:30 stop.

Step-by-step explanation:

Let [tex]P_0[/tex] be the total number of peoples on the bus before 2:30 stop.

For the first stop at 2:30:

The bus let off 13 people, so, the total number of remaining people on the bus [tex]= P_0-13[/tex]

again, the bus let on 8 people,  so, the total number of people on the bus

[tex]= P_0-13+8[/tex]

[tex]=P_0-5[/tex]

For the second stop after 10 minutes (i.e at 2:40):

The bus let off 3 people, so, the total number of remaining people on the bus [tex]= P_0-5-3[/tex]

[tex]=P_0-8[/tex]

After the second stop, the number of people on the bus is [tex]P_0-8[/tex], where P_0 number of peoples on the bus before 2:30 stop.

Hence, the number of people on the bus after the second stop is 8 less than the number of peoples on the bus before the 2:30 stop.


8x +32
Factor the gcf

Answers

Answer:

8(x+4)

Step-by-step explanation:

8(x+4)
8x+32
nope that helped
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