Complete question is;
Now there is a door whose height is more than its weight by 6 chi 8 cun. The distance is between the opposite is corners is 1 zhang. Find the height and width of the door.
Note: 1 zhange = 10 chi = 100 cun. Give your answers in units of chi and cun.
Answer:
h = 9 chi 6 cun
w = 2 chi 8 cun
Step-by-step explanation:
Let the height be h and width be w.
Now, we are told that height is more than its weight by 6 chi 8 cun.
Thus,
weight = height - 6 chi 8 cun
Let's convert 6 chi 8 cun to chi for easy calculation.
Since 100 cun = 10 chu
Then 8 cun = 8 × 10/100 = 0.8 chi
Thus 6 chi 8 cun = 6 chi + 0.8 chi = 6.8 chi
Thus;
Height is h
Width is (h - 6.8) chi
Now, we are told that the distance between the corners is 1 zhang = 10 chi
Distance between corners is the diagonal of the door.
Thus, the height, width and diagonal con form a right angle triangle which can be solved by Pythagoreas theorem.
Thus;
h² + w² = 10²
Plugging in (h - 6.8) for w, we have;
h² + (h - 6.8)² = 100
h² + h² - 13.6h + 46.24 = 100
2h² - 13.6h + 46.24 - 100 = 0
2h² - 13.6h - 53.76 = 0
Using quadratic formula, we have;
h = 9.6 chi
Converting 0.6 chi to cun gives;
0.6 × 100/10 = 6 cun
Thus, h = 9 chi 6 cun
Since w = (h - 6 chi 8 chun)
Then, w = 9 chi 6 cun - 6 chi 8 chun = 2 chi 8 chun
what's is the difference of -1/2 and 2/5
Answer:
-9/10
Step-by-step explanation:
Answer:
Step-by-step explanation:
I think -9/10
If the original quantity is 10 and the new quantity is 15, what is the percent increase?
Given the value of the original quantity and the value of the new quantity, the percentage increase is 50%.
What is percent increase?Percent increase is aimply the amount of increase from the initial value to the new value in terms of 100 parts of the initial value.
It is expressed as;
C = ((x₂ - x₁) / x₁)100%
Where x₁ is initial value and x₂ is new value
Given the data in the question;
Initial value x₁ = 10New value x₂ = 15Percentage increase C = ?We substitute the given values into the expression above.
C = ((x₂ - x₁) / x₁)100%
C = ((15 - 10) / 10)100%
C = (5/10)100%
C = 0.5 × 100%
C = 50%
Therefore, given the value of the original quantity and the value of the new quantity, the percentage increase is 50%.
Learn more about Percentages here: brainly.com/question/24159063
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what is the cost of making one burrito (remember that cost is negative)
Answer:
$550
Step-by-step explanation:
How much is the profit for 1 burrito?: $8 - ($1.50+$1) = $5.5
So, profit for 100 burritos is $5.5 x 100 = $550.
which equation is equivalent?
Answer:
C
Step-by-step explanation:
Convert the measurement. 5 days = sec
Answer:
5days = ? sorry I don't understand sorry
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Every day has 24 hours .
Every hour has 60 minutes .
Every minute has 60 seconds.
Thus ;
[tex]5 \times 24 \times 60 \times 60 = 120 \times 60 \times 60 = \\ [/tex]
[tex]2 \times 60 \times 60 \times 60 = [/tex]
[tex]2 \times {6}^{3} \times {10}^{3} = [/tex]
[tex]2 \times 216 \times 1000 = [/tex]
[tex]432 \times 1000 = [/tex]
[tex]432,000 \: \: \: seconds[/tex]
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Carmen measured her purple pen and found it was 14.724 cm long. What is the length of the purple pen rounded to the nearest hundredth
Answer:14.73 your welcome
Please Help me this is due soon and I really need help!!!
Answer:
Hey, I got 20 and I asked my friend to work it and he got 20 too.
Step-by-step explanation:
Which expression is equivalent to (7x^2)(3x^-4)
A. 21X ^-8
B. 21X^2
C. 21X^-6
D. 21X ^-2
Answer:
the answer is b
Step-by-step explanation:
heres why:
(7x^2)(3x^-4)
7x3=21x
21/x^4
21/x²
Find the height of a triangle whose
Area=64dm
Base=1.6m
Answer:
102.4?
Step-by-step explanation:
Answer:
h=2A/b
2 (64dm)/1.6m
128dm/1.6m
=80d
Many adults owe money from their college loans for years into their professional careers. A newspaper would like to estimate the proportion of all adults in the city who have debts from college loans. To collect data, a random sample of 300 young adults between the ages of 25 and 35 is asked, "Do you have more than $5,000 in current college debts?” 68% of those sampled reported that they do have more than $5,000 in college-related debts. How might this sample be biased in obtaining an estimate of all adults in the city who have college debts? Because young adults were randomly selected, this sample should provide an unbiased estimate of the proportion of adults with college debts. Because only young adults were sampled, undercoverage bias may cause the newspaper to overestimate the proportion of all adults who have college debts. Because some young adults may not honestly report their debts, response bias may cause the newspaper to underestimate the proportion of adults with college debts. Because adults with college debts may be less likely to respond, voluntary response bias may cause the newspaper to underestimate the proportion of adults who have college debts.
Answer: B: because young adults were sampled, undercoverage bias may cause the newspaper to overestimate the proportion of all adults who have college debts
Step-by-step explanation: the question is asking how the sample could be biased and obtaining an estimate of all ADULTS in the city. Young adults aren't the only adults. Adults can be older than 35 too so it's not a good representation of every adult in the city
Answer:
B- Because only young adults were sampled, undercoverage bias may cause the newspaper to overestimate the proportion of all adults who have college debts.
Step-by-step explanation:
Got it right
edgen 2022
______has gate cells
Answer:
gating
Step-by-step explanation:
This is your answer
NEED HELP PLZ 45 POINTS
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.
If no, justify your answer.
Answer:
angle QRP and TRS are congruent because they are vertical angles.
if you add that then you will get ASA which proves congruency
Step-by-step explanation:
Use the factor theorem to determine whether or not the first polynomial is a factor of the second
Answer/Step-by-step explanation:
Based on the factor theorem, a polynomial, x - a, is said to be a factor of another polynomial, f(x), if an only if f(a) = 0.
Using this theorem, let's determine whether each of the given first polynomial, is a factor of the second polynomial.
1. x - 1; x² + 2x + 5
By the factor theorem, x - 1 will be a factor of f(x) = x² + 2x + 5, if and only if f(1) = 0.
f(1) = 1² + 2(1) + 5
= 1 + 2 + 5
= 8
Since f(1) ≠ 0, therefore the first polynomial, x - 1, is NOT a factor of the second polynomial, x² + 2x + 5.
2. x + 1; x³ - x - 2
By the factor theorem, x + 1 will be a factor of f(x) = x³ - x - 2, if and only if f(-1) = 0.
f(1) = -1³ - (-1) - 2
= -1 + 1 - 2
= -2
Since f(-1) ≠ 0, therefore the first polynomial, x + 1, is NOT a factor of the second polynomial, x³ - x - 2.
3. x - 4; 2x³ - 9x² + 9x - 20
By the factor theorem, x - 4 will be a factor of f(x) = 2x³ - 9x² + 9x - 20, if and only if f(4) = 0.
f(4) = 2(4)³ - 9(4)² + 9(4) - 20
= 128 - 144 + 36 - 20
= 0
Since f(4) = 0, therefore the first polynomial, x + 4, is a factor of the second polynomial, 2x³ - 9x² + 9x - 20.
4. a - 1; a³ - 2a² + a - 2
By the factor theorem, a - 1 will be a factor of f(a) = a³ - 2a² + a - 2, if and only if f(1) = 0.
f(1) = 1³ - 2(1)² + 1 - 2
= 1 - 2 + 1 - 2
= -2
Since f(1) ≠ 0, therefore the first polynomial, a - 1, is NOT a factor of the second polynomial, a³ - 2a² + a - 2.
5. y + 3; 2y³ + y² - 13y + 6
By the factor theorem, y + 3 will be a factor of f(y) = 2y³ + y² - 13y + 6, if and only if f(-3) = 0.
f(-3) = 2(-3)³ + (-3)² - 13(-3) + 6
= -54 + 9 + 39 + 6
= 0
Since f(-3) = 0, therefore the first polynomial, y + 3, is a factor of the second polynomial, 2y³ + y² - 13y + 6.
A company that makes hair-care products had 6,000 people try a new shampoo. Of the 6,000 people, 48 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
I would say 2880 sorry if am wrong
Step-by-step explanation:
6000*48=288,000 then divide by 100 because percent means 100. 288,000/100= 2,880. hope this helps can I get brainlist and add effort before you come to look for anwer.
A brand of popcorn instructs users to microwave for 90–120 seconds on high. A student wonders what the ideal microwave time for popcorn might be and designs an experiment to find out. Bags of popcorn are placed in the microwave for different lengths of time: 90 seconds, 100 seconds, 110 seconds, and 120 seconds. Also, 2 types of microwaves with different power capacity will be used: 900 watts and 1,000 watts. At the end of the experiment, the number of unpopped kernels will be counted.
Using 3 lengths of time and 2 types of microwaves describes which part of the experiment?
the levels
the treatments
the response variable
the experimental units
Answer:
A.) the levels
Step-by-step explanation:
edge 2020
Answer:
A
Step-by-step explanation:
edge2o2o
Mr. Earl E. Bird leaves his house for work at exactly 8:00 a.m. every morning. When
he averages 40 miles per hour, he arrives at his workplace three minutes late. When
he averages 60 miles per hour, he arrives three minutes early.
Answer:
50 miles per hour
Step-by-step explanation:
if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time
*i had trouble wording that so yeah sorry about that*
It takes a book editor 28 minutes to edit 6 pages. Find how long it takes her to edit 45 pages
Answer:
Around 9.57 minutes to edit
Step-by-step explanation:
Do 28 divided by 6 to get around 4.7. Then do 45 divided by 4.7 to get the answer.
if you answer correctly ill give brainliest
Penny reads 13 pages in 1/2 hour. What is the unit rate for pages per hour? For hours per page? How many hours per page
Answer:
13 pages : 1/2 hour Multiply both sides by 2
26 pages : 1 hour ------>> 26 pages/hr
Flip over 26 pages/hr ----->>> hr / 26 pages = 1 hr / 26 pages
Split up the fraction: (1/26) hr / page
Answer:
26
Step-by-step explanation:
13 in 1/2 hour
13:1/2
26:1
WHICH IS EQUIVALENT TO A divided by 2
2A
1/2 A
2/A
A/2
7. Plx is greater than 7, x> 7)
Answer:
I think 7 is the answer
hope it helps
Noise levels at 4volcanoes were measured in decibels yielding the following data:152,157,157,158Construct the 90%confidence interval for the mean noise level at such locations. Assume the population is approximately normal.Step 3 of 4:Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
t critical = 2.353
CI = (152.82 , 159.18)
Step-by-step explanation:
We are required to find the t critical value and also confidence interval
The sample mean is = 152+157+157+158/4
= 156
The standard deviation is 2.7
At a confidence level of 90%, we have α = 1 - 0.90 = 0.1
α/2 = 0.1/2 = 0.05.
Degree of freedom = 4-1 = 3
When we look this up in the t critical value table,
t critical = 2.353
Next we have to find the confidence interval
CI = (156 - 2.3530 x 2.7/√4 , 156 + 2.353 x 2.7/√4)
= 156-3.17655, 156+3.17655
CI = (152.82 , 159.18)
Upper bound = 159.18
Lower bound = 152.82
1) Find the interior angle sum of a 36-gon.
6120°
720°
900°
1800º
Sum of interior angles = ( number of sides -2) x 180 degrees.
Sum = (36-2) x 180
Sum = 34 x 180
Sum = 6,120 degrees.
Bill makes $30.00 per day. He makes twice as much as hack makes before jacks salary was doubled. How much does jack make now?
Answer:
$30.00
Step-by-step explanation:
Jack's original salary before it was doubled was $15.00 per day.
Let's assume Jack's original salary is "x" dollars per day.
According to the given information, Bill makes $30.00 per day, which is twice as much as Jack made before his salary was doubled. So, before Jack's salary was doubled, he made "x" dollars per day.
After Jack's salary was doubled, he makes 2 * x = 2x dollars per day.
Now, we know that Bill makes $30.00 per day, which is equivalent to the new salary of Jack after it was doubled.
So, we can set up an equation:
2x = $30.00
To find the value of "x," we can divide both sides by 2:
x = $30.00 / 2
x = $15.00
Therefore, Jack's original salary before it was doubled was $15.00 per day.
To know more about Multiplication here:
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Charles always spend the same amount of money each morning.Sunday he bought a newspaper for $2.50 and also purchased a coffee.Monday he purchased a newspaper for $1.50 and purchased two coffees. Determine the price of one coffee.
Answer:
a coffee is one dollar
Step-by-step explanation:
if he spends the same amount of momey each day, lets say a coffee is a dollar. the first day he spends 2.50 on a newspaper plus 1 dollar on a coffee equaling 3.50 dollars. if he purchased a 1.50 dollar newspaper and two coffees, two coffees would equal two dollars plus 1.50 equaling 3.50 dollars. that answer equals the same amount that he spent on monday.
HELP ME PLEASEEEEEEEEEEEE
Solve 1x = 7(x + 6).
Answer: answer is -7
Step-by-step explanation:
Step-by-step explanation:
Original Equation;
1x=7(x+6)
Multiply the 7 by the x and 6
1x=7x+42
Group like terms
1x-7x=42
-6x=42(Divide both sides by -6)
x= -7 (We have -7 because 42 can be divided by 6 7 times)
If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0? –18 –12 12 18
Answer:
Option 3: 12 is the correct answer.
Step-by-step explanation:
Given functions are:
[tex]f(x) = 16x-30\\g(x) = 14x-6[/tex]
In order to find the value of x on which (f-g)(x) will be zero, first of all we have to find (f-g)(x) and then equate it equal to zero to find the value of that will make (f-g)(x)
So,
[tex](f-g)(x) = f(x) - g(x)\\= (16x-30)-(14x-6)\\=16x-30-14x+6\\= 2x-24[/tex]
Now to find the value of x on which (f-g)(x) will be zero, putting (f-g)(x) = 0
[tex](f-g)(x) = 0\\2x-24 = 0[/tex]
Adding 24 on both sides
[tex]2x-24+24 = 0+24\\2x = 24[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2} = \frac{24}{2}\\x = 12[/tex]
For x=12, (f-g)(x) will be zero.
Hence,
Option 3: 12 is the correct answer.
Answer:
C got it right on edge 2022
Step-by-step explanation:
What is 20% as a fraction in its lowest terms?
Please help me this is due at 11:59 I need help. Please show work
Answer:
See below :D
Step-by-step explanation:
Well, 20% is simply 20/100. By reducing it would go down to 2/10... try to reduce 2/10 in its lowest terms! You can do it, I believe in you :D
Another way is converting it to a decimal:
0.20
Which is another way of saying 0.2
0.2 = 2/10
2/10 is not reduced in its lowest terms, but I'm sure you can figure out the rest. Good luck and ask if you need more details in the works or if you can't figure it out! I'll be here.
A new cell phone has a purchase price of $225. With the extended warranty, the total cost comes to $289. What
percent of the purchase price is the price of the warranty?
a. 28%
b. 22%
C. 25%
d. 20%
Answer:
The answer would be Letter A which is 28%
Step-by-step explanation:
Took the practice on edge 2020 and got it correct.
