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:
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
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?
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.
What is the value of the base in the power (-24)5?
Answer:
-24
Step-by-step explanation:
I assume 5 is meant to be 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
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.
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)
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??
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
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.
Answer:
translate down 3reflect across the horizontal line through AStep-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
[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]
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
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
A 40-meter length of cable is cut into pieces that measure 1.25 meters each. Into how many pieces is the cable cut?
Answer:
32
Step-by-step explanation:
40 / 1.25=32
. Evaluate | –2 | = ?
Answer:
2
Step-by-step explanation:
Describe the thing in your surroundings that represents area.
5TH GRADE MATH! HELP! What is written in standard form? A. 0.8 B. 0.871 C. 871 D. 8,710
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?
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:
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?
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?
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%
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
Answer:
7279
Step-by-step explanation:
What TWO angle relationships could be useful to solve for the measure of ∠LPN?
(Choose 2)
Vertical Angles
Supplementary Angles
Complementary Angles
How many milometers are in 1 foot?
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 ?
I just need help to understand this strategy can someone please explain how this strategy works?
Answer:
It is called the dividion strategy. You use boxes to divide a number easier
Step-by-step explanation:
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
Answer:
0
Step-by-step explanation:
which correct postulate, theorem, property, or definition that justifies each of the following statements.
Answers are in picture
Thanks in advance :D
GIVING BRAINLIEST how much tens can go in 1,000
Please help me:( this is hard
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 :)
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
Answer:
x4800 inch
Step-by-step explanation:
Answer:
x4800 pulgadas
Step-by-step explanation: