The length of a rectangle is 2x + 4 and the width is x + 8. If the perimeter of the rectangle is 96, use the value of x to find the length and width of the rectangle.​

Answers

Answer 1

Hey there! I'm happy to help!

The formula for the perimeter of a rectangle is 2L+2W=P where W is the width and L is the length. This is because we have our two sides that are lengths and our two sides that are widths (different values) and we add them together to see what the distance around the whole rectangle is.

So, let's insert these values into the equation.

2(2x+4)+2(x+8)=96

We use the distributive property to remove the parentheses (which is us multiplying our equations for length and width by two).

4x+8+2x+16=96

We combine the like terms.

6x+24=96

We subtract 24 from both sides.

6x=72

Divide both sides by 6.

x=12

Now that we have our value of x, we can plug it into our length and width equations to find those values.

LENGTH:

2x+4

2(12)+4

24+4

28

WIDTH:

x+8

12+8

20

So, our length is 28 and our width is 20.

Have a wonderful rest of your day and keep on learning! :D


Related Questions

least commom multiple of 2 and 4?

Answers

Answer:

4

BRAINLIEST, PLEASE!

Step-by-step explanation:

Multiples of 2: 2, 4, 6, 8, 10

Multiples of 4: 4, 8, 12, 16, 20

Which is 6 logx + 5log(x - 8) written as a single logarithm?

Answers

Answer:

log ([tex]x^{6}[/tex][tex](x-8)^{5}[/tex]

Step-by-step explanation:

Using the rules of logarithms

log [tex]x^{n}[/tex] ⇔ nlog x

log x + log y = log(xy)

Given

6 log x + 5log(x - 8)

= log[tex]x^{6}[/tex] + log[tex](x-8)^{5}[/tex]

= log ([tex]x^{6}[/tex][tex](x-8)^{5}[/tex] )

Answer:

d) on edge

Step-by-step explanation:

have a nice day :)

It takes 1 gallon of paint to paint a 300 square foot room. How many square feet of the room can be painted with 3/4 gallon of paint?

Answers

Answer: 225 square feet

Step-by-step explanation:

If 1 gallon of paint can paint a 300 square foot room to solve how much 3/4th of a gallon can paint lets divide the amount of paint we have and the amount of area 1 gallon paint can cover.

1/4 = 1/4th of a gallon of paint      300/4 = 75 square feet

now we know that 1/4th of a gallon of paint can cover 75 square feet lets multiply everything by 3 so that we can figure out how much 3/4th can cover.

1/4*3 = 3/4th of a gallon             75*3 = 225 square feet

Now we know that 3/4th of a gallon of paint can cover a 225 square feet room.

please help

answer choices are:

A. (3, -3)

B. (1,-6)

C. (8,-6)

D. (-1, 3)

Answers

Answer:

C ( 8,-6)

Because you move the points according to the rule.

It is c hope it helps

make sense of this. PLSSSS 15 POINTSSSSS​

Answers

Answer: Yes, he has enough ribbon.

==================================================

Explanation:

The volume is 296 cm^3 and the height of the box is 8 cm

The area of the top is 296/8 = 37 cm^2. I'm using the idea that

volume of box = (area of base)*(height)

--------------------

The area of the top is 37 cm^2. Apply the square root to get sqrt(37) = 6.08276 cm which is the approximate length of each side along the top. This only works if the top is a square.

Multiply this by 4 to get 4*6.08276 = 24.33104

The perimeter along the top is roughly 24.33 cm

--------------------

The next task we have to do is convert from inches to centimeters

Multiply by 2.54 to do this.

24 & 1/4 inches = 24 + 1/4 = 24 + 0.25 = 24.25 inches

24.25 * 2.54 = 61.595 cm

The measurement 24 & 1/4 inches converts to about 61.595 cm

This means Adam has about 61.595 cm of ribbon

--------------------

To recap, we found these two facts:

The perimeter of the top is about 24.33 cmAdam has roughly 61.595 cm of ribbon

Since the amount he has (61.595) exceeds the perimeter (24.33), this means he does have enough ribbon.

In fact, he has enough ribbon to do 2 boxes because 61.595/24.33 = 2.53 approximately and that rounds down to 2. We don't round to 3 even though we're closer to it.

I just need a example of a function equation and a non function equation.

Answers

Example of function equation is

f ( x ) − f ( y ) = x − y f(x)-f(y)=x-y f(x)−f(y)=x−y

Example of non Function equation is

y=±√x and x2+y2=9

Can someone explain this?

Answers

this is the best way I can explain it over text

Consider functions fand g.
f(x) = (x + 1)^3
g(x) = 3 x+ 1
Evaluate the function composition.
(fog)(-64) =

Answers

Answer:

-8

Step-by-step explanation:

plz watch all steps in picture

The value of the composition function (f·g)(-64) is 1750329.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(x)=(x+1)³ and g(x)=∛x+1.

We need to find (f·g)(-64).

We know that, (f·g)(x)=f(x)×g(x)

Here, f(-64)=(-64+1)³

= -63³

= -250047

g(x)=∛(-64)+1

= -8+1

= -7

Now, (f·g)(-64)=f(-64)×g(-64)

= -250047×(-7)

= 1750329

Therefore, the value of (f·g)(-64) is 1750329.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ7


In triangle ABC, m a. 81°
b. 61° c. 71
d. 51°

Answers

hey! i dont get the question here

nine and twenty hundredths in standard form

Answers

Answer:

[tex]9.2[/tex]

Step-by-step explanation:

20 hundredths is 0.2 and 9 is 9. 9+0.2=9.2.

Side note:

All you had to do is change 9 and 20 tenths into decimals.

please help me out on this !! i really need it !!

Answers

Joni. I think. I’m sorry if it’s wrong
Joni's calculation is the most accurate. Hope my answer helped u :)

[tex]\frac{6}{0}[/tex]

Answers

Answer:

Not Defined

Step-by-step explanation:

Anything divided by 0 is said to be infinity or not defined.

I think its Undefined

Find the rational approximation of √15.

Answers

9514 1404 393

Answer:

  1921/496

Step-by-step explanation:

There are many rational approximations to √15, some better than others.

A linear approximation is often used:

  √15 ≈ 3 +(15-3^2)/(4^2-3^2) = 3 6/7 = 27/7

That can be refined by one iteration of the Babylonian method of determining the root:

  √15 ≈ (27/7 +15/(27/7))/2 = (3 6/7 +3 8/9)/2 = 3 55/63 = 244/63

This value is equivalent to the root rounded to 4 decimal places.

__

Another iteration of the Babylonian method gives the approximation ...

  √15 ≈ 119071/30744, equivalent to the root rounded to 9 decimal places.

__

The approximation 1921/496 is the best approximation that has a denominator under 1000.

_____

Additional comment

Successive rational convergents of the continued fraction approximation of √15 can be found as ...

  a'/b' = (3a +15b)/(a +3b)

This method adds approximately one more good decimal place per iteration.

__

Successive rational approximations can be found using the Babylonian method (Newton's method iteration) as ...

  a'/b' = (a² +15b²)/(2ab)

This method has "quadratic" convergence. It approximately doubles the number of good decimal places with each iteration.

You can use 3/1, 4/1, or 27/7 to begin either of these iterations.

Find the value of x. Round to the
nearest tenth.
35
Х
12
x = [ ? ]

Answers

Answer:

Step-by-step explanation:

[tex]Tan 35 = \dfrac{opposite \ side}{adjacent \ side}\\\\0.7=\dfrac{12}{x}\\\\0.7*x=12\\\\x=\dfrac{12}{0.7}\\\\x=17.1[/tex]

HELP PLEASE NOT MUCH TIME.
The equation y+6=1/3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?

y = 1/8 x-3
y= 1/3x+9
y=1/3x-9
y=1/3x+3

Answers

The steps are to first distribute the 1/3 into (x-9) and then to move the +6 on the left over to the right:

First distribute:
y + 6 = 1/3(x-9) becomes y + 6 = 1/3x-3

Now subtract 6 from both sides:
y = 1/3 x - 3 - 6

y = 1/3 x - 9

besties i need help! Select two reasonable first steps for solving the equation 2(4x-11)=10.

A. Divide each side of the equation by 2.
B. Divide each side of the equation 10.
C. Multiply each side of the equation by 2
D. Multiply each side of the equation by 1/10
E. Add 11 to each side of the equation.
F. Use the Distributive Property to simplify the right side.
G. Use the Distributive Property to simplify the left side.

Answers

It's gonna be g because you want to get rid of the parenthesis. So your left side would become 8x-22

The quotient of is
.

Answers

Answer:

4y

Step-by-step explanation:

this is the answer. I am sure of it.

Which expression is equivalent to 7.90 + 8.5 + 8.60 + 1.3?
O 16.4u + 9.9
0 -0.7u + 9.8
Submit Answer
O 16.54 + 9.8
0 -0.74 + 7.2
о

Answers

Answer:

[tex]⚪ \: \: 16.5u + 9.8[/tex]

Step-by-step explanation:

[tex]7.9u + 8.5 + 8.6u + 1.3 \\ = (7.9 + 8.6)u + 8.5 + 1.3 \\ = 16.5u + 9.8[/tex]

let the dimensions of a rectangle be (4*(871209)^(5)+3*49762105) ft. by (7*(871209)^(3))-(49762105) ft. determine the area of the rectangle

Answers

Answer:

Area = Approximately 9.293 x [tex]10^{48}[/tex]

If △ABC is translated down nine unit(s) and to the right two unit(s), which
of the following would be the new coordinates of point A?

Answers

Answer:

A'(2, -5)

Step-by-step explanation:

we only need to focus on point a (0,4). The translation is moved 9 units down and 2 units to the right, so point (x,y) would become (x+2, y-9). plug 0 and 4 in for x and y respectively, and you get (0+2, 4-9) = (2, -5)

help me please i forgot how to do this

Answers

Answer:

domain is where the line crosses the x-axis, and range is always all real numbers

Step-by-step explanation:

during a cruise Mike wants to maintain his exercise schedule. He learns that on the ship’s track three laps is 5/8 of a mile. If mike wants to run 3 miles how many laps does he need to run

Answers

72/5 laps because 3/(5/8) = 24/5 and 24/5 * 3 = 72/5

26/3 + 6 = 24

please answer!!!

Answers

Answer:

The answer is false.

26/3 is 8.66. 8.66 + 6 is 14.66 which doesn't equal 24

the sum of three consecutive even integers

Answers

Answer:look below

Step-by-step explanation:Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6=108.

A bag has 6 watermelon, 5 grape and 1 green apple jolly rancher. You pick one out, replace it, then pick
another. What is the probability of picking 2 watermelon jolly ranchers?

Answers

Answer:

[tex]\frac{1} {144}[/tex]

Step-by-step explanation:

The probability of picking 1 watermelon is 1 out of 12.

So [tex]\frac{1}{12}[/tex] × [tex]\frac{1}{12}[/tex] = [tex]\frac{1} {144}[/tex]

I hope this helps!

pls ❤ and mark brainliest pls!

Which of the following lists is in order from smallest to largest?

0.05, 0.2, 0.48, 0.6
0.2, 0.05, 0.48, 0.6
0.05, 0.2, 0.6, 0.48
0.2, 0.48, 0.05, 0.6

Answers

Answer:

0.05, 0.2, 0.48, 0.6

Hope it helps

Answer:

A

Step-by-step explanation:

0.05 < 0.2 < 0.48 < 0.6

f(x)= 2x^2-7+6 g(x)=4x+10 find g(f(x))

Answers

Answer:

g(f(x)) = 8x^2 + 6

Step-by-step explanation:

g(f(x)) = 4(2x^2 - 7 + 6) + 10

g(f(x)) = 8x^2 -28 + 24 + 10

g(f(x)) = 8x^2 + 6

c(x-2)-5=b(x-3), solve for x

Answers

Answer:

x =  (2c - 3b + 5) / (c - b).

Step-by-step explanation:

c(x - 2) - 5 = b(x - 3)

cx - 2c - 5 = bx - 3b          Bring the terms in x to left side:-

cx - bx  - 2c - 5 = -3b        Bring  other terms to right side:-

cx - bx = 2c  - 3b  + 5

x(c - b) =  2c  - 3b  + 5         Divide both sides by c - b:-

x =  (2c - 3b + 5) / (c - b).

-5=-10+ find the missing value

Answers

Answer:

the missing values is 5

I hope it's helps you to

Answer:

+5

Step-by-step explanation:

-5=-10+5

-5=-5

-+-=-

+-+=+

a gift house allowed 20% discount on the marked price of a doll, 13% VAT was levied on it. If the doll was sold as Rs 1808. What was its marked price?​

Answers

Answer:

Profit = 20% = 360 Rs

So, Cost Price = 360 / 20 * 100 = 1800 Rs

And Sales Price = 1800 + 360 = 2160 Rs

Discount = 25% of marked price

So Sales Price = (100 - 25) % = 75 % of mark price.

=> 2160 = 75% of marked price.

=> marked price = 2160/75 * 100 = 2880 rs

Hope it helps you.

Other Questions
The density of Silver is 10.5 g/mL. How much mass would be present given a silver cubewith a volume of 25.0 mL?PLEASE HELP ASAP The student body of 125 students wants to elect a president, vice president, and secretary. How many possible results are there? Given: Circle W W (-4, 6) Radius = 10 Units Which point lies on circle W? My mom is always trying to touch me in the dressing room every single time we pick out clothes. It's not in a weird type of way, she just watches me change my clothes and try to see if the clothes fit me or not. However, I always try to tell her I feel uncomfortable when she does those things but instead reply back, saying that she is my mother and its normal. What can I say to her to let her understand she is still making me uncomfortable how does a liver cell differ from a palisade cell? Everyone help me write the blog!Write according to the sentences in the picture and add some good sentences If you help me,I will give you the brainliest!!!! Steroids contain a 4-ring structure. True False 20 - (30 -50) x 10= 20 - (-20) x 10= 20 - 20 x 10= 0 x 10= 0where is the mistake? If jerry had given up on his goal, would it have made a difference to him in long run What piece of health advice have you been given that you have found really helpful? Explain why this advice was so useful when you share it with the class. Find the Mean Median, Mode, and Range of the following numbers. 7, 10, 10 14, 29 Mean _______ Mode________ Median______ Range_______ Prove that the bisector of the vertical angle of isosceles triangle is the perpendicular bisector of the base A 70-year-old female has been admitted to the hospital. The client has had nausea and vomiting for the past three days. Upon admission the client is slightly confused and weak. Her vital signs are: 99 F (37.2 C), respirations 20 breaths/minute, pulse 102 beats/minute, BP 96/66 mm Hg, and her pain level is an "8"on a scale of 0-10. Breath sounds are clear bilaterally upon auscultation. Pulse oximetry is 95% on room air. Bowel sounds are absent in the right and left lower quadrants and in the left upper quadrant. Abdomen is hard and distended. When questioned as to her last bowel movement, the client responds, "I have not moved my bowels in over one week." Mucous membranes dry; skin turgor poor. 11. What would be a priority nursing diagnosis for this client? List one short-term goal. List three interventions for your priority nursing diagnosis. WHAT CAUSE OF BAMJEES UNHAPPINESS What method is known as a class's constructor, because it is run automatically when a user instantiates the class Help please! offering 50 things Multiply (x + 1)(x + 3) express tan J as a fraction in simplest terms Dont pay attention to number 6 I just need help with number 5. State if the given binomial is a factor of the given polynomial. (2x^3+16x^2+22x-40) + (x+4) HELP ASAP:Read the excerpt from "Little Brother" and answer the question.After a heated classroom discussion with his substitute teacher following a terrorist attack, Marcus is sent to the assistant principal's office.[1] I went fast to Mr. Benson's office. Cameras filmed me as I went. My gait was recorded. The arphids in my student ID broadcast my identity to sensors in the hallway. It was like being in jail.[2] "Close the door, Marcus," Mr. Benson said. He turned his screen around so that I could see the video feed from the social studies classroom. He'd been watching.[3] "What do you have to say for yourself?"[4] "That wasn't teaching, it was propaganda. She told us that the Constitution didn't matter!"[5] "No, she said it wasn't religious doctrine. And you attacked her like some kind of fundamentalist, proving her point. Marcus, you of all people should understand that everything changed when the bridge was bombed. Your friend Darryl"[6] "Don't you say a word about him," I said, the anger bubbling over. "You're not fit to talk about him. Yeah, I understand that everything's different now. We used to be a free country. Now we're not."[7] "Marcus, do you know what 'zero-tolerance' means?"[8] I backed down. He could expel me for "threatening behavior." It was supposed to be used against kids who tried to intimidate their teachers. But of course he wouldn't have any compunction about using it on me.[9] "Yes," I said. "I know what it means."[10] "I think you owe me an apology," he said.[11] I looked at him. He was barely suppressing his sadistic smile. A part of me wanted to grovel. It wanted to beg for his forgiveness for all my shame. I tamped that part down and decided that I would rather get kicked out than apologize.Select the paragraph that best develops the man vs. society conflict Marcus faces. Paragraph 4 Paragraph 5 Paragraph 6 Paragraph 7Please explain your answer and don't waste points.