The length of a rectangle is 5 times larger than x. The width is 4 cm less than the length. The perimeter is at least 96 cm. What are the smallest possible dimensions for the rectangle?

Answers

Answer 1

We know that the perimeter of a rectangle = 2(l + w)

l = length

w = width

In our problem,

l = 5x

w = 5x - 4

Let's create an inequality to help us solve this problem.

2(5x + (5x - 4)) ≥ 96

Let's start off by simplifying the terms inside the parentheses.

2(10x - 4) ≥ 96

Distribute the 2

20x - 8 ≥ 96

Add 8 to both sides.

20x ≥ 104

Divide both sides by 20

x ≥ 5.2

Let's plug 5.2 into x for our length and width.

Length = 5x = 5(5.2) = 26 cm

Width = 5x - 4 = 5(5.2) - 4 = 26 - 4 = 22 cm

The smallest possible dimensions for the rectangle are, length = 26 cm and width = 22 cm  

Answer 2

Answer:

width = 10 cm

length = 14 cm

The smallest dimension is 10 cm.

Step-by-step explanation:

2x + 2(x + 4) ≥ 48

Solve for x.

2x + 2x + 8 ≥ 48

4x + 8 ≥ 48

4x ≥ 40

 x ≥ 10


Related Questions

The daily high temperatures for Barrow, Alaska, are shown in the table below. November 29 -5.2. November 30- 3, December 1. -1.5, December 2nd -3.3, December 3rd -3.8, December 4th -9.2 What was the mean (average) temperature for Barrow, Alaska, for November 29 through December 4?

Answers

Answer:

The answer is -4.3

Step-by-step explanation:

You need to add all of the temperatures together then divide it by the amount of temperatures.

All of the temperatures equal -26

You divide by the amount of temperatures which is 6

is square root 6 + 3 greater than, less than, or equal to 6 + square root 3.

Answers

Less than hope it helped you

What is the value of the base in the power (-24)5?

Answers

Answer:

-24

Step-by-step explanation:

I assume 5 is meant to be an exponent.

-24 that’s the only thing that makes sense and I think the 5 is an exponent

A box of 21 holiday cards sells for $3.99. What is the unit price per card?
$0.02
$0.19
$3.78
$5.26

Answers

$0.19 because if you divide 3.99 by 21 you get 0.19
0.19 since it’s a decimal it’s kinda easy to work with them if it’s in a improper fraction

There are 3.76 x 10^22 tardigrades in 1gram of water. How many tardigrades are there in 600 grams of water?

Write your answer in scientific notation. If necessary, round your answer to two decimal places. Show work to support your answer.

Answers

the answer is 2.256 x 10^25
2.256 x 10^25 need more details?

Carlos has a $5 bill. If he buys an eggplant, how much change will he receive? Carlos will receive $_____ in change. (1 eggplant is 0.89 cents)

Answers

Answer:

$4.11

Step-by-step explanation:

If Carlos buys the eggplant with a $5 bill and it only costs $.89 cents he will have $4.11 cents in change because $5.00

-$0.88

= $4.11

Answer:

Carlos will receive $4.11 in change.

Step-by-step explanation:

You subtract the amount of the eggplant by the amount Carlos has. $5.00- $0.89 = $4.11. Hope this helps.

HELP ASAP!!!!!! ROTATE SEGMENT CD 180 DEGREES CLOCKWISE AROUND ITS MIDPOINT G!! WHAT IS THE IMAGE OF C??

Answers

Answer:

Step-by-step explanation:

Ok so I'm doing this on my phone so it's a bit difficult. 180 degrees either way is really just flipping the image upside down. So when you are flipping this around the midpoint, and it's a line, you can just picture it as if you are switching the 2 end points, so switch c and d mentally and that should be your answer. I hope this helps if not, I'm sorry

Just flip the image, I just turned my phone upside down

For each diagram, describe a translation, rotation, or reflection that takes line ℓ to line ℓ′. Then plot and label A′ and B′, the images of A and B.

Answers

Answer:

translate down 3reflect across the horizontal line through A

Step-by-step explanation:

1. There are many transformations that will map a line to a parallel line. Translation either horizontally or vertically will do it. Reflection across a line halfway between them will do it, as will rotation 180° about any point on that midline.

In the first attachment, we have elected to translate the line down 3 units.

__

2. Again, there are many transformations that could be used. Easiest is one that has point A as an invariant point, such as rotation CW or CCW about A, or reflection horizontally or vertically across a line through A.

Any center of rotation on a horizontal or vertical line through A can also be used for a rotation that maps one line to the other.

In the second attachment, we have elected to reflect the line across a horizontal line through A.

What is the measure of ∠LPQ?

What is the measure of ∠LPN

Answers

[tex]\tt Step-by-step~explanation:[/tex]

Since no real values are given for the angles, we will not have an exact angle measurement.

If ∠LPQ is x+28, then that means ∠NPM is the same, since they are vertical angles.

[tex]\tt LPQ=x+28\\NPM=x+28[/tex]

Since ∠QPM is x, then ∠LPN is also x, because they are also vertical angles.

[tex]\tt QPM=x\\LPN=x[/tex]

[tex]\large\boxed{\tt Our ~final~answer:~LPQ=x+28,~LPN=x}[/tex]

Lpq=x ¥€ % 28^ £¥[ x 671

What is the product? Express the answer in lowest terms. 2Two and three-fourths times one-half One and one-eighth One and three-eighths Two and one-eighth Two and three-eighths plz help me

Answers

Answer:

it is 1 3/8

Step-by-step explanation:

Which of the following is equivalent to the equation given below?

3/4x - 2 = 2/3

9x - 2 + 8
9x - 2 + 8

3x - 24 = 2
3x - 24 = 2

9x - 24 = 8
9x - 24 = 8

36x - 24 + 24
36x - 24 + 24

Answers

Arnt they the last 4 since they are exactly the same abs the first is different..
Have you ever thought about using a calculator

A 40-meter length of cable is cut into pieces that measure 1.25 meters each. Into how many pieces is the cable cut?

Answers

Answer:

32

Step-by-step explanation:

40 / 1.25=32

I believe the answer is 32

. Evaluate | –2 | = ?

Answers

Answer:

2

Step-by-step explanation:

the answer is 2. because |x| makes everything positive

Describe the thing in your surroundings that represents area.

Answers

Maybe like a door or square box

5TH GRADE MATH! HELP! What is written in standard form? A. 0.8 B. 0.871 C. 871 D. 8,710

Answers

Answer:B

Step-by-step explanation:

Answer:

0.871.

Step-by-step explanation:

if you divide 1/10 you get 0.1 and then you multiply it by 8 and you get 0.8

then you divide 1/100 and you get 0.01 then you multiply it by 7 and get 0.07

then you divide 1/1,000 and you get 0.001 then you multiply it by 1 and get 0.001 Now you add them together and get 0.8 + 0.07 + 0.001 = 0.871

Valentina purchased 200 beads for $48 to make necklaces. If she needs to buy 25 more beads , how much will she pay if she is charged the same rate?

Answers

Answer:

$6.00

Step-by-step explanation:

200b=$48

$1=(200/48)*b

$1=(25/6)*b

6*$1=6*(25/6)*b

$6=25b

Answer:

200 ÷48 then you will have to add 25 to 200

Step-by-step explanation:

225

In 2020, Halloween is on a Saturday. Record the day of the week for Halloween in:
2021:
2022:
2023:
2024:
2025:
2026:
2027:
2028:
2029:
2030:

Answers

Answer:

2021:sunday

2022:monday

2023:tuesday

2024:thursday

2025:friday

2026:saturday

2027:sunday

2028:tuesday

2029:wednesday

2030:thursday

Step-by-step explanation: I use my calendar

Answer:

2021:  Sunday

2022:  Monday

2023:  Tuesday

2024:  Thursday

2025:  Friday

2026:  Saturday

2027:  Sunday

2028:  Tuesday

2029:  Wednesday

2030: Thursday

A prime number p is a divisor of 420 and 540. How many possible values of p are there?

Answers

Answer:

3 prime divisors that go into 420 and 540 are-

2,3,5

hope this helps!

Answer: The answer is 3.

Step-by-step explanation:

The only possible prime divisors of 420 and 540 are 2, 3, and 5.

plz help quick i will give brainliest to the first person to answer: The equation a = 180x(n-2)/n represents the angle measures, a, in a regular n-sided polygon. When the equation is solved for n, n is equal to a fraction with a denominator of a – 180. What is the numerator of the fraction?

Answers

Answer:

the numerator of the fraction is -360

Step-by-step explanation:

What percent is equivalent to Two-fifths?
Possible Answers...
0.4%
2.5%
25%
40%

Answers

Answer:

40%

Step-by-step explanation:

2/5= 4/10

4/10= 40%

The percent that is equivalent to two-fifths is 40%. The correct option is 40%.

To determine the percent equivalent to two-fifths, we need to convert the fraction into a percentage.

The fraction two-fifths can be written as 2/5. To convert this fraction to a percentage, we divide the numerator (2) by the denominator (5) and multiply the result by 100.

2/5 x 100

= 0.4 x 100

= 40%

Therefore, the percentage equivalent to two-fifths is 40%.

Among the provided options:

0.4% is incorrect. It represents four-tenths of a percent, not 40%.

2.5% is incorrect. It represents two and a half percent, not 40%.

25% is incorrect. It represents one-fourth or 25%, not 40%.

40% is the correct answer, as explained above.

Hence, the option that represents the percent equivalent to two-fifths is 40%.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ6

help, please I don't know this one

Answers

Answer:

7279

Step-by-step explanation:

7278 because of the conversion factor

What TWO angle relationships could be useful to solve for the measure of ∠LPN?

(Choose 2)
Vertical Angles
Supplementary Angles
Complementary Angles

Answers

I think t is supplementary and complementary angles
I think the supplementary angles and complementary angles

How many milometers are in 1 foot?

Answers

Answer:

1 Foot = 304.8 Millimeters

Step-by-step explanation:

:/

304.8 mm are in a foot

A garden in the shape of a regular hexagon is fenced by evenly placed flower pots. There is a pot in each corner of the garden and 41 pots on every side of the hexagon. Ashot and Sam want to use the same flower pots to decorate another garden in the shape of a square. How many pots should be evenly placed on each side of the square, if all pots should be used and all corners should be decorated by a flowering pot ?

Answers

the answer is 61 i believe

I just need help to understand this strategy can someone please explain how this strategy works?

Answers

Answer:

It is called the dividion strategy. You use boxes to divide a number easier

Step-by-step explanation:

it is called a division strategy

Hi,i have this one question what is [tex]6,482 x 10[/tex]

























sike that was for fun plz reply with a wrong answer

Answers

Answer:

0

Step-by-step explanation:

This is really easy u just gotta READ ;)

which correct postulate, theorem, property, or definition that justifies each of the following statements.
Answers are in picture

Thanks in advance :D

Answers

angle addition postulate

GIVING BRAINLIEST how much tens can go in 1,000

Answers

100. 100 times 10 = 1000
the correct answer is 100. 1,000 divided by 10=100.

Please help me:( this is hard

Answers

Answer:

I attached the answers to number one and three.

Step-by-step explanation:

I totally forgot how to do this (I learned this two years ago), so I used the graphing calculator on "Desmos". It's very helpful :)

I will get to work on the second one, but it might take me a minute :)

2.) go up 3 from the origin then right 5

Efia draws this scale drawing a two famous landmarks each inch in the drawing represents 400 ft on the actual landmark how much taller the actual Eiffel tower than the action space Needle

Answers

Answer:

x4800 inch

Step-by-step explanation:

Answer:

x4800 pulgadas

Step-by-step explanation:

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