Shreya has a photo that is 16 cm tall and 20 cm wide. She wants to put a frame around the photo which would have the same width all around.
Represent the area of the whole frame as a polynomial in terms of the width around the photo.
A.[tex]x^{2} + 36x + 320[/tex]

B.[tex]-4x^{2} - 72x + 320[/tex]

C.[tex]4x^{2} + 72x + 320[/tex]

D.[tex]-x^{2} - 36x - 320[/tex]

Answers

Answer 1

A photo is usually rectangular in shape. This means that if a frame is to be put around the photo with the same width all round, it means that if the width is "x", then the new length and width will be (l + 2x) and (w + 2x) respectively where l is length and w is width.

Option C is the correct answer

Data Given;

Height of Photo: 16 cm

Width of Photo: 20 cm

Since she wants to put a frame with same width around the photo, let's represent this width as x.

Thus;

New height = 16 + 2x

New width = 20 + 2x

Area of a rectangle is given as:

A = Length * width

Thus, in this case;

A = (16 + 2x) × (20 + 2x)

Multiplying out, we have;

A =  [tex]4x^{2} + 32x + 40x + 320[/tex]

A = 4[tex]x^{2} + 72x + 320[/tex]

Looking at the given options, Option C is the correct answer

Read more at: brainly.com/question/11289399


Related Questions

Y=8x use this calculate y when x = 30

Answers

Answer: y is 240

Step-by-step explanation:

Can you please answer this?

Answers

Step-by-step explanation:

plan a 40dollars

plan b 30 dollars

plan b cost less

Mark me brainliest plsss

what is n (AUB) if (A)=25,n(B) = 10 and BCA

Answers

Answer:

35

Step-by-step explanation:

It is in the above photo .

Simplify by using the law of exponent (3/7)2 * (3/7)

Answers

Answer:

7^3 or 343

Step-by-step explanation:

2*3=6

7×7×7×7×7×7=117649

7^3=7×7×7=343

117649/343=343 or 7^3

Find the perimeter and area of the figure.
5 cm
The perimeter of the figure is
centimeters
The area of the figure is
square centimeters.
PS: I got it wrong and I need help :)

Answers

Answer:

The perimeter is 20 cm.

The area is 25 cm^2.

Step-by-step explanation:

The perimeter is the distance around the figure.

This is a square, so each side is the same length.

There are four sides, so

5 + 5 + 5 + 5 = 20 cm

The area of the figure is

s^2

where s is a side

so 5 * 5 = 25 cm^2

Look at this table.
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1100
1200
1300
1400
1500
1600
1700
According to the table, how many hours of training would you need to have a
monthly pay of $2000?
A. 90
B. 80
C. 100

Answers

Answer:

100

Step-by-step explanation:

if the pattern continues it looks like the equation f(x)=10x+1000 so you would need 100 hours to make 2000 dollars

3x-2=9x+10-6x

I need help ASAP pls

Answers

Answer:

[ no solution ]

Step-by-step explanation:

[tex]3x - 2 = 9x + 10 - 6x[/tex]

group x terms together and constants together:

[tex]3x - 9x + 6x = 10 + 2[/tex]

factorise out x on the left hand side :

[tex] x(3 - 9 + 6) = 12 \\ x(0) = 12[/tex]

since coefficient of x is 0, there is no solution.

Need help with these 3

Answers

Answer For Number 4: The distance between the two points is five.

Step-by-step explanation:

First outline the triangle, draw lines connecting the two points and form a right angle triangle. Use the graph to count the distance between point A and point B ( the one at the bottom point A, and the one towards the top point B ). Sorry, Imma stop explaining this because I suck at wording, I’ll show how to solve with picture.

Round your answer to the nearest hundredth​

Answers

Answer:

200

Step-by-step explanation:

90-35=125

180-125=55

55x4=220

220= 200

Is the following rational or irrational?

Square root 16

Square root 12

12/5

0.36274959282619

Answers

Answer:

rational

irrational

rational

rational

Step-by-step explanation:

Square root 16 = 4 rational since it can be written as a fraction of integers

Square root 12 = 2 * sqrt(3) irrational since sqrt(3) is irrational

12/5 rational since it is a fraction of integers

0.36274959282619 rational since it is a terminating decimal

how many numbers are there between 256 and 789 that are divisible by 7​

Answers

Answer:

76

Step-by-step explanation:

How many numbers are between 256 and 789 are divisible by 7 ?

Generalizing, we could look for a procedure that, given two integers A and B, with B>A , and a module M, tells us how many integers x, with A<=x<=B , are divisible by M.

a) let n1 be the lowest integer >=A such that n1 is divisible by M.

If n1>B , than not even n1 has the required properties and the output of the procedure is 0; otherwise, go to the next step.

n1 will be the first number of the sequence of numbers divisible by M.

b) let n2 be the highest integer <=B such that n2 is divisible by M.

Notice that it’s not possibile that n2<A , as you alway have the possibility n2=n1 .

n2 w

A simple way to think about this is by calculating the largest multiple of 7 less than 256 (let’s call it y) and the smallest multiple of 7 greater than 789 (let’s call it x). The answer is then all the multiples of 7 in between these two numbers, which can be represented by:

x−y7−1

Let’s do it:

252 is the largest number less than 256 divisible by 7. y = 252

791 is the smallest number greater than 789 that’s divisible by 7.

Thus, our answer is 113-36–1 = 76.

Note: we subtract 1 or else we would include the number on the top end of the range (in this case, 791).

Hope it helped you!!

Pls mark me the brainliest :)

-5n-4(-7-4n)=36+7n

What is N?

Answers

Answer:

n=2

Step-by-step explanation:

-5n-4(-7-4n)=36+7n

Distribute

-5n +28 +16n = 36+7n

Combine like terms

11n +28 = 36+7n

Subtract 7n from each side

11n+28-7n = 36+7n-7n

4n+28 = 36

Subtract 28 from each side

4n+28-28 = 36-28

4n = 8

Divide by 4

4n/4 = 8/2

n=2

Help please I truly appreciate it

Answers

Answer:

-12

Explanation:

2x + 8y

x = -7 and y = -1/4

plug in values of x and y

2(-7) + 8(-1/4)

multiply 2 and -7

-14 + 8(1/4)

multiply 8 and 1/4

-14 + 2

add

=-12

Answer:

2(-7)=8(1/4)

-14+8x1/4

-14+8/4

-14+2

-12

Step-by-step explanation:

what is the fraction 3/5 written as a Percent

A. 6%
B. 30%
C. 60%
D. 167%

Answers

Answer:

60%

Step-by-step explanation:

percent means out of 100

3/5 * 20/20

60/100

60 %

Answer:

C. 60%

Step-by-step explanation:

Work out the value of (312 ÷ 35) ÷ (32 × 3)

Answers

Answer:

[tex](312 \div 35) \div (32 \times 3) \\ \\ 8.914 \div 96 \\ \\ = 0.09[/tex]

pls I need clear workings.
(A.)evaluate without tables

1.)3log2+log20-log1.6

2.)log√2/log9

3.)log0.2/log25

4.)if logx-log(2x-1)=1,find x?​

Answers

Answer:

1)2.602

3)-2.007

4)x=10/19

Step-by-step explanation:

steps are in the picture.

Note:if you need to ask question,I'll answer it

​Quadrilateral ABCD​ is inscribed in this circle.
What is the measure of angle C?
Enter your answer in the box.

Answers

Answer:

C = 80

Step-by-step explanation:

A cyclic quadrilateral is one where all 4 vertices touch the circumference of a circle.

It has 1 interesting property that should concern you: <B + <D = 180 degrees.

3x - 59 + 2x - 1 = 180          Combine like terms

5x - 60  = 180                     Add 60 to both sides.

5x = 180 + 60

5x = 240

x = 240/5

x = 48

Now go to 2x + 4.

x = 48

A = 2*48 + 4

A = 96 + 4

A = 100

So C = 180 - 100

C = 80

What letter stays the same when reflected over the x-axis

Answers

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.p explanation:

What is the GCF of 48&72

Answers

Answer:

24 is GCF

Step-by-step explanation:

48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Factors they have in common: 1, 2, 3, 4, 6, 8, 12, 24

24 is the greatest factor they have in common; therefore, 24 is the greatest common factor, or GCF

Find the last three digits of the sum A=11!+12!+13!+...+2006!​

Answers

Answer:

996

Step-by-step explanation:

n = 2006-11+1 = 1996

the sum A = 1996/2 × (11+2006)

= 2,012,996

so, the last 3 digits : 996

Let’s see what happens to the last three digits
11! = ...800
12! = ...600
13! = ...800
14! = ...200
15! = ...000
Every remaining factorial will end in 000
800 + 600 + 800 + 200 = 2400
So the last three digits of 11! + 12! + 13! + ... + 2006! are 400

which of the following are geometric sequences?
a: 5,10,20,40,80,160
b: 3,6,9,12,15,18
c: 10,5,2.5,1.25,0.625,0.3125
d:1,3,9,27,81

Answers

Answer:

A, C, D

Step-by-step explanation:

This is because the ratio between te consecutive terms are constant, that is ×2, ×0.5 and ×3 respectively

Which function is graphed?

Answers

Answer:

B.

Step-by-step explanation:

ik just trust because first one is less than so its undefined and the other is less then or equal to

Note that all answers have the same functions. The difference in the answers is where those functions are happening.

The parabola (x^2+4) happens for x-values less than 2. “Less than” because of the open circle at x=2.

The line (-x+4) happens for x-values greater than or equal to 2. “Greater than or equal to” because of the closed circle at x=2.

The answer that matches these is B.

Ray has gone 3/5 of a kilometre. How many metres has he gone?

Answers

Step-by-step explanation:

3/5 of a kilometre

=3/5×1000 meters

=3000/5 meters

=600 meters

Answer:

600 metres

Step-by-step explanation:

1 kilometre equals 1,000 metres.

[tex]\frac{3}{5}[/tex](1000) = 600 metres

If you need more clarification, ask me in the comments. Thanks!

2/3 divided by 1 3/7

Answers

Answer:0.46

Step-by-step explanation:

the temperature for the first 4 days in january was -2 degrees

the mean temperature for the first 5 days in january was 0 degrees

what was temperature on the 5th day ?
URGENT

Answers

let's assume the temperature on 5th day be x

We know that :

[tex] \boxed{mean = \frac{sum \: \: of \: all \: \: observations}{number \: \: of \: \: observations} }[/tex]

So,

[tex] \hookrightarrow \: 0 = \dfrac{ - 2 + ( - 2) + ( - 2) + ( - 2) + x}{5} [/tex]

[tex] \hookrightarrow \: 0 \times 5= - 2 - 2 - 2 - 2 + x[/tex]

[tex] \hookrightarrow \: 0 = - 8 + x[/tex]

[tex] \hookrightarrow \: x = 8[/tex]

Therefore, temperature on the fifth day was x = 8

Taylor has a bank account earning 5 percent interest compounded annally. If her initial deposit was a 1,000, and she makes a withdrawal of $200 after 3 years, which of the following represents the total amount in her account after 7 years.
(A) 1,000 (1.05)^7- 200
(B) 1,000 (1.05)^3 + 800(1.05)^4
(C) 1,000 (1.05)^3 -200( 1.05)^4
(D) 1,000(1.05)^7 - 200(1.05)^4​

Answers

I think the answer to this question is (c)

10 +6.1n 8 + 6.3n
What is N

Answers

Answer:

30.4n

Step-by-step explanation:

10+8+6.3n+6.1n

18+12.4n

30.4n

Simplify each expression completely.
7[3+2(x-4)-6(x-4)]

Answers

Answer:

21 + 14x - 56 - 42x + 168

= 133  - 28x

Step-by-step explanation:

Answer:

19 - 4x

Step-by-step explanation:

[tex]3 + 2(x - 4) - 6(x - 4)[/tex]

[tex]3 + 2x - 8 - 6(x - 4)[/tex]

[tex]3 + 2x - 8 - 6x + 24[/tex]

[tex]19 + 2x - 6x[/tex]

[tex]19 - 4x[/tex]

- Judy wrote a check for $63, then made a deposit
of $ 110. What was the overall chang to her
Account.

Answers

Answer:

$47

Step-by-step explanation:

110-63=47

Answer:

+$47

Step-by-step explanation:

As you are calculating for change, assume that the bank account has $0.

Judy wrote a check for $63, or she withdrew $63:

0 - 63 = -63.

Next, she deposited $110, or she added $110:

-63 + 110 = 47

The over all change to her account is a net profit of +$47.

~

2 questions
***************

Answers

Step-by-step explanation:

1) As U is the mid point of TV ,it divides the whole line in two equal parts:

TV=TU+UV

TU=UV

Subtitute values:

5x+6=23+23

5x+6=46

5x=46-6

5x=40

x=40/5

x=8

2) Q is mid point of PR so PQ=QR

PR=PQ+QR

15x-29=6x-1+6x-1

15x-29=12x-2

15x-12x=29-2

3x=27

x=27/3

x=9

Note:if you need to ask any question please let me know.

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