Suppose that a rectangular picture is surrounded by a frame of uniform width of x
inches as depicted below. The dimensions of the picture are 8 inches (width) by
10 inches (length). Find a simplified expression that represents the area of the
picture and frame.
Type your simplified answer for the area of the picture and frame along with your
work in the box below. To receive any partial credit, you must include all your work.

Answers

Answer 1

Answer:

Ok so the area of the frame is 18*12 = 216cm^2

Let’s suppose the width of the frame is x

The total area (painting and frame) is (2x+18)(2x+12) and this is equal to 432

4x^2 + 60x + 216 = 432

4x^2 + 60x - 216 = 0

x^2 + 15x - 54 = 0

(x+18)(x-3) = 0

Therefore x = {-18,3}

Since width of the frame has to be positive, the width has to be 3cm Step-

i hope i helped!


Related Questions

Simplify the expression. (x4y2)1/2 A) 2(x4y2) B) x1/8y1/4 C) x2y D) x8y4 Please help!!!

Answers

Answer:

C. [tex]x^2y[/tex]

Step-by-step explanation:

Given the expression [tex](x^4y^2)^{\frac{1}{2} }\\[/tex]

Using the law of indices;

[tex](a^m)^n = a^{mn}[/tex]

[tex](x^4y^2)^{\frac{1}{2} }\\\\= (x^4)^{\frac{1}{2}} (y^2)^{\frac{1}{2} }\\= x^{4*1/2}y^{2*1/2}\\= x^{2}y[/tex]

Hence the correct answer is [tex]x^2y[/tex]

please help asap :)​

Answers

The answer to this question is “No”

Are Figures A and B congruent? Explain your reasoning.
Figure A
Figure B
HELP MA FRIENDS

Answers

Answer:

no

Step-by-step explanation:

because figure a takes up about 4 squares while figure b takes up about 8 squares

WILL GIVE BRAINIEST, Factor the common factor out of each expression

Answers

Answer:

WHEN TEACHERS THINK THEIR STUDENTS ACTUALLY DID THE HOMEWORK -_-

Step-by-step explanation:

Answer:

1: there is no answer

2:C

3:B

4:A

I am even. The sum of my digits is sixteen. Who am I?

Answers

Answer:

2, 4, 6, 8, 10, 12, 14

Step-by-step explanation:

8+8=16

6+10=16

4+12=16

2+14=16

what is 9 + 10 x2 x 8

Answers

Answer:

169

Step-by-step explanation:

9 + 10 × 2 × 8

9 + ( 10 × 2 × 8)

9 + (20×8)

9 + 160

169

Solve. 5(x-3)+11=4(x+2)

Answers

Answer:

12

Step-by-step explanation:

[tex]5(x - 3) + 11 = 4(x + 2) \\or \: 5x - 15 + 11 = 4x + 8 \\ or \: x = 12[/tex]

American Black Ducks migrate a great distance every year. A typical bird will travel 2,739 miles in 33 days. Which of the following best represents this trip with a constant unit rate of travel? 7.4A

Answers

Answer:

Rate of travel = 83 miles per day

Step-by-step explanation:

Given:

Total distance = 2,739

Number of days = 33 days

Find:

Rate of travel

Computation:

Rate of travel = Total distance / Number of days

Rate of travel = 2,739 / 33

Rate of travel = 83 miles per day

Which expression is equivalent to Y.Y.Y.Z.Z.Z.Z?
O y 24
O 12xy
o (yz)
07xy
HURRYPLEASEEEE

Answers

A y exponent 3 z exponent 4.

Given the linear function f (x) = 4x - 2 identify the following;

Slope

Y intercept (let x = 0)

X intercept (let y = 0)

Is the function increasing or decreasing?

Answers

Answer:

slope: m = 4

y intercept:  (0, -2)

x intercept: (1/2,0) the 1/2 is one half

the function is increasing

600 feet per hour. What is his
speed miles
in
per hour?

Answers

Answer:hi

Step-by-step explanation:

All I need is the slope and the equation also the y-intercept to help please!

Answers

Answer:

1) Slope; -10

Y-intercept; (0,60)

Equation; y=−10x+60

2) Slope;-1/2

Y-intercept; (0,0)

Equation; y=−1/2x

Step-by-step explanation:

Use the slope formula and slope-intercept form y=mx+b to find the equation.

Answer:

1.)

slope: -10

y-intercept: 60

equation: [tex]y=-10x+60[/tex]

2.)

slope: [tex]-\frac{1}{2}[/tex]

y-intercept: 0 (the line passes through the origin)

equation: [tex]y=-\frac{1}{2} x[/tex]

Explanation:

To find your slope you can use the equation [tex]\frac{y_{2}-y_1 }{x_2-x_1}[/tex], plugging in the designated numbers from two ordered pairs you select from the chart.

Your y-intercept is the value found at y whenever x is equal to 0.

For your equation, you simply place your slope in front of x and add on your y-intercept.

Is the relationship between the number of tickets sold and the number of hours proportional? If so, how many tickets were sold in 8 hours?

Answers

Answer:

640 tickets.

Step-by-step explanation:

8hours × 80 = 640

There are 640 tickets are sold in 8 hours.

What is Proportional?

The equality between two ratio is called Proportional.

Given that;

Number of hours for selling number of tickets.

Since, To check the relationship is proportional or not, we check the equality between two given ratio.

Hence, The ratio are;

Number of hours : Number of Tickets

= 3 : 240 : : 5 : 400

It can be solve as;

= 3/240 = 5/400

= 1/80 = 1/80

= 1:80 : : 1:80

Thus, The given relationship between the number of tickets sold and the number of hours is proportional.

Now, Let number of tickets in 8 hours = x

Then, By definition of proportional we get;

⇒ 3 : 240 :: 8 : x

Solve the proportional as;

⇒ 3/240 = 8/x

⇒ x = 8 × 80

⇒ x = 640

So, There are 640 tickets are sold in 8 hours.

Learn more about the proportional visit:

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what are factors of 7​

Answers

Answer:

1 and 7

Step-by-step explanation:

how do u solve this its pre-algebra 4x – 5y = 20

Answers

Answer:

x = 5 + 5y/4

Step-by-step explanation:

I think its like this: 4x - 5y = 20

Add 5y to both sides: 4x = 20 + 5y

Divide both sides by 4: x = 20/4 + 5y/4

Simplify: x = 5 + 5y/4

I'm pretty sure it is like this

Hope this helps!

3/15 divided by 5/6

7 divided by 1/6

2 1/5 divided by 1 1/3

2 1/7 divided by 3/28

Answers

Answer:

0.2400000096

1.16666666667

1.92307692308

0.02551020238

Step-by-step explanation:

hope this helps :)

3/15 divided by 5/6: 6/25

7 divided by 1/6: 21/50

2 1/5 divided by 1 1/3: 21/50

2 1/7 divided by 3/28: 20

Hope this helps!

What is the difference between 71.27 and38.86?

Answers

Answer:

32.41

Step-by-step explanation:

72.21 - 38.86 = ?

32.41

Hope this helps! <3

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

7 1 . 2 7

_- 3 8 . 8 6___

3 2 . 4 1

---> 32.41

Hope it helps you,

mark me as the brainliest.....

Follow me.......

What is y+1 = 4(x - 1) in slope-intercept form?

A. y+ 1 = 4x - 4
B. -4x+y=5
C. y = 4x-5
D. 4x- y=-5

Answers

would be y=4x-5

steps are

multiply 4 by everything in parentheses

y + 1 = 4x - 4

subtract 1 from both sides

y = 4x -5

Answer:

C. y = 4x-5

Step-by-step explanation:

Slope-intercept form : y=mx+b

[tex]y+1 = 4(x - 1)[/tex]

Expand :

[tex]4(x-1) =4x -4\\\\y+1 =4x-4[/tex]

Collect like terms and simplify

[tex]y=4x -4-1\\\\y=4x -5[/tex]

The orange shape is a dilation of the black shape. What is the scale factor of the dilation?1/10 1/2 10 2

Answers

Answer:

Scale = ¼

Step-by-step explanation:

See attachment for complete question.

In the attached, we have.

Width = 4 units. ----- Orange

Width = 16 units ------- Black

Required

Determine the scale of dilation

The scale of dilation can be calculated as:

Scale = Width(orange)/Width (black)

Scale = 4/16

Scale = ¼

Hence, the scale of dilation is ¼

Sequence: 49, 36, 25, 16, 8, 4, 1 * Is this a arithmetic or geometric sequence? and if it is arithmetic find the common difference and if it is geometric find the common ratio? and please do not give me a stupid answer only smart people answer this if you know the answer to this you are smart.

Answers

Answer:

Step-by-step explanation:

The sequence is nor properly written. This is correct sequence

49, 36, 25, 16, 9, 4, 1...

Merely looking at the sequence, we can see that it doesn't form an arithmetic sequence nor does it form a geometric sequence.

The values of the sequence are all perfect squares.

Rewriting the sequence;

7², 6², 5², 4², 3², 2², 1²...

Now we can see that the base values for an arithmetic sequence as shown:

7, 6, 5, 4, 3, 2, 1...

We find the common difference of this sequence as shown

d = T2-T1 = T3-T2 = T4-T3

Given T1 = 7, T2 = 6, T3 = 5, T4 = 4

Substitute

d = 6-7 = 5-6 = 4-5 = -1

d = -1

Get the nth term using the sequence

Tn = a+(n-1)d

a is the first term

d is the common difference

n is number of terms

Tn = 7+(n-1)(-1)

Tn = 7+(-n+1)

Tn = 7+1-n

Tn = 8-n

Since their power are constant i.e squared, hence we will square the ntj term as well to get the nth term of the original sequence as;

Tn = (8-n)²

To conclude, we can say that the sequence is neither arithmetic nor geometric sequence since the terms of the sequence are prefect squares.

A square patio has an area of 135 square feet. How long is each side of the patio to the nearest tenth?
Each side of the patio is approximately
feet long.

Answers

11.6 because the square root of 135 is 11.61885.... and when you check it is approximately 135 because 11.6 *11.6 = 134.56, which can be rounded to 135

Indicate the answer choice that best completes the statement or answers the question
Find the sale price to the nearest cent.
564 video game 25% discount
2510
b543
55
do

Answers

64 x .25 = 16.00
64 - 16 = 48
$48 is the sale price of the video game

The reciprocal of 3/17 is __?

Answers

Answer:

17/3 or 5 and 2/3

Step-by-step explanation:

All you have to do to find a reciprocal of a fraction is swap the numerator and denominator. If it is a whole number, then that number will be under 1.

A probability experiment is conducted in which the sample space of the experiment is S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Let event E={2, 3, 4, 5, 6, 7}, event F={5, 6, 7, 8, 9}, event G={9, 10, 11, 12}, and event H={2, 3, 4}. Assume that each outcome is equally likely. List the outcome s in For G. Now find P( For G) by counting the numb er of outcomes in For G. Determine P (For G ) using the General Addition Rule.

Answers

Answer:

The answer is " [tex]\bold{\frac{2}{3}}[/tex]"

Step-by-step explanation:

Given set:

[tex]\to F \ or\ G = \{ 5,6,7,8,9,10,11,12\}[/tex]

In the above-given set, there are 8 elements and 12 possible outcomes so, the equation is:

[tex]\to P( F\ or \ G) = \frac{8}{12}[/tex]

                      [tex]= \frac{2}{3}[/tex]

by using the general addition Rule:

[tex]\to P(F \cup G) = P(F) +P(G)- P(F \cap G)[/tex]

                    [tex]=\frac{5}{12}+\frac{4}{12}- P(E \cap H)\\\\=\frac{6}{12}+\frac{3}{12}- \frac{1}{12}\\\\=\frac{6+3-1}{12}\\\\=\frac{8}{12}\\\\=\frac{2}{3}\\\\[/tex]

True or false: 8.9 x 10-7 = 0.000 008 9.

Answers

It is False 8.9x10-7 does not equal 0.00000089

A candle is in the shape of a square pyramid. Its height is 5 cm and its slant height is 8 cm.



To the nearest tenth, what is the base length of the candle?
A. 5.9 cm
B. 9.6 cm
C. 12.5 cm
D. 19.2 cm

Answers

Answer:

it is 5.9 A

Step-by-step explanation:

Answer:

The answer is C) 12.5

Step-by-step explanation:

I took the test :)

1. Using the geometry tools below, construct a copy of the line segment AB below.

2. Using the geometry tools below, construct a equilateral triangle with side length CD.​

Answers

Answer:

1.) use a compass

2.) also use a compass

Step-by-step explanation:

The PDF will show you for number two

brainlist ppls

Answer:

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

The polynomial function for this graph is of (odd,even, abnormal)
degree and the leading coefficient is (positive,negative,zero)

Answers

Answer:

first graph: The polynomial function for this graph is of ✔ odd  degree and the leading coefficient is ✔ negative.

second graph: The polynomial function for this graph is of  ✔ even  degree and the leading coefficient is  ✔ negative.  

Step-by-step explanation:

hope this helped

The polynomial function for this graph is of odd degree and the leading coefficient is negative.The polynomial function for this graph is of even degree and the leading coefficient is negative.  

What is Even and Odd function?

When the output value of a real-valued function, f(x), is equal to f(-x), for all values of x inside the domain of f, the function is said to be an even function.

It is claimed that a real-valued function f(x) is an odd function when, for all values of x in the domain of f, the output value of f(-x) is equal to the negative of f(x).

Given:

As, we know the first graph graph of an odd function is at the same distance from the origin but in opposite directions and, graph of an even function remains the same after reflection about the y-axis.

So, The polynomial function for this graph is of odd degree and the leading coefficient is negative.

and, The polynomial function for this graph is of even degree and the leading coefficient is negative.  

Learn more about Odd and Even Function here:

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Oscar owns his own towing and auto repair service. He charges $45 for towing and $20 per hour, h, for labor. There is an additional charge for parts, p. Oscar uses this formula to determine the total cost, C , for towing and repairing a car. C = 45 + 20h + p What is the total cost, C, to tow and repair a car that requires four hours of labor and $109 worth of parts? Record your answer and fill in the bubbles on your answer document.

Answers

Answer:

I might be wrong but I think the answer Is 234!

I hope you do Great!!

Step-by-step explanation:

Identify the quadrant in which each point is located.
A (5,1.75)
B(-5,-8)
C(2,3)
D (2,-3.5)
E (-4.5,3.75)

Answers

A) Quadrant 1

B) Quadrant 3

C) Quadrant 1

D) Quadrant 4

E) Quadrant 2

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