An architect created a blueprint of your house using a scale of 1 to 95. On the blueprint, your bedroom is 3 inches long, how many feet long is your actual bedroom?
Answers
Your actual bedroom is 23.75 feet long.
If the length of your bedroom on the blueprint is 3 inches and the scale used is 1 to 95, we can use proportions to determine the actual length of your bedroom in feet.
Let's set up the proportion using the given information:
1 inch on the blueprint corresponds to 95 inches in reality.
3 inches on the blueprint corresponds to x inches in reality, where x represents the actual length of your bedroom in inches.
Using the proportion:
1 inch on blueprint / 95 inches in reality = 3 inches on blueprint / x inches in reality
By cross-multiplying:
1 * x = 95 * 3
x = 285 inches
Now, to convert inches to feet, we divide the length in inches by 12:
285 inches / 12 = 23.75 feet
It's important to note that when dealing with blueprints and scales, it is crucial to carefully follow the scale ratio to accurately determine real-life measurements. In this case, the proportion and conversion allowed us to determine the length of your bedroom in feet based on the given blueprint scale.
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Related Questions
\( {x}^{4} - 17x ^{2} + 16\)
factor completely
Answers
Answer:
\( \underline{{x}^{4} - 17 {x}^{2} + 16} \\ {x}^{4} - {x}^{2} - 16 {x}^{2} + 16 \\ {x}^{2} ( {x}^{2} - 1) - 16( {x}^{2} - 1) \\ ( {x}^{2} - 1)( {x}^{2} - 16) \\ \boxed{(x - 1)(x + 1)( x - 4)(x + 4)}✓\)
(x-1)(x+1)(x-4)(x+4) is the right answer.I really need help with this ASAP!!!!
Answers
Answer:
For the first row x is 20 then x^2 is 400
And for the second row for x it is 7
I hope I explained it well I would also appreciate brainliest please :) and let me know if you don’t understand
what is the sum 3/x+9+5/x-9
Answers
Answer:
\(\frac{8}{x}\)
Step-by-step explanation:
what is the sum 3/x+9+5/x-9
\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\) (add \(\frac{3}{x}\) and \(\frac{5}{x}\))
\(\frac{8}{x} + 9 - 9 =\) (solve 9 - 9 = 0)
\(\frac{8}{x}\) ( your answer)
Manuel is preparing to run in a race. He has developed a training program in which he increases his running distance each day. If he continues to follow the same pattern, what distance will he run on the fifth day.
Day 1 -- 1 mile
Day 2 -- 2 miles
Day 3 -- 4 miles
Day 4 -- 7 miles
A.) 8 miles
B.) 9 miles
C.) 11 miles
D.) 14 miles
Answers
Answer:
c
Step-by-step explanation:
c)11 miles
the day and the miles on that day add together to make the miles for the next day so 4+7=11
Enter the equation of the line in slope-intercept form.
Slope is 5, and (2, 4) is on the line.
The equation of the line is y =
Answers
In your gym class, your teacher can create teams of 4 for a
relay race and have no students left over. The next day, your
teacher creates teams of 5 for dodge ball and has no
students left over. What are some possible numbers of
students in your class?
Answers
Answer: 20, 40, 60, 80, 100,....
Step-by-step explanation:
Given that :
It is possible to create teams of 4 for a relay race with no student leftover
Also,
It is possible to create teams of 5 for dodgeball with no student left over from the same class
To deduce the possible number of students in the class, then the number of students should be a multiple of both 4 and 5
Multiples of 4 include = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100,....
Multiples of 5 : 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100,....
Multiples common to both 4 and 5 : 20, 40, 60, 80, 100,....
What is the equation of the line in slope intercept form?
Answers
Answer:
y = x + 60
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line
m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1
the line crosses the y- axis at (0, 60 ) ⇒ c = 60
y = x + 60 ← equation of line
What is the best description of originality?
nonobvious
special or interesting
convergent
having a low probability, unique
Answers
Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.
An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.
Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.
Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.
Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.
In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
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Lucy went on holiday for 10 days. These are the temperatures for each day. 21°C 24°C 29°C 23°C 24°C Calculate the median temperature 24°C 27°C 23°C 22°C 23°C
Answers
Answer:
Step-by-step explanation:
21 22 23 23 23 24 24 24 27 29
(23 + 24)/2= 47/2= 23.5 is the median temperature
A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000. Which of the following is the most reasonable domain and range for the function?
Answers
The correct answer is C
Step-by-step explanation:
I found this because the pond already has 3000 fish so y can not be less than 3000. Thus eliminating choice A since it says y>-3000.
That reasoning also eliminates answer D because real numbers can also include negatives.
Finally, since y has to be greater than 3000, answer B is not possible as it says y>0 which means it could be less than 3000.
In conclusion, Answer C is correct
Rounded to the nearest tenth, what is the perimeter of the triangle?
60°
5 cm
30°
Answers
Answer:
11.0 cm
Step-by-step explanation:
Answer:
11.8 cm
Step-by-step explanation:
2.5 + 5 + 2.5√3 = 7.5 + 2.5√3 = 11.8 cm
Can someone check if it’s correct also help me with the last one
Thanks
Answers
The perimeter of triangle ABC = 60 + 20√3 cm
What is perimeter?
The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.
In triangle ADB,
sin (30°) = AD/AB
1/2 = ( 10 √3 ) /AB
AB = 20√3
In triangle ABC,
cos (30°) = AB/BC
√3 /2 = 20√3 / BC
BC = 40
tan (30°) = AC/AB
1/√3 = AC/ 20√3
AC = 20
Perimeter of triangle ABC = AB +BC + AC
= 20√3 + 40 + 20
= 60 + 20√3
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The following selected information was extracted from the records of B Solomon.
1. B Solomon, the owner of Solomon Traders, bought a new Machine for R250 000 on 1 July 2013.
2. On 1 October 2014, he purchased a second Machine for R350 000 cash.
3. On 30 June 2015, the Machine bought during 2013 was sold for R120 000 cash.
4. It is the business’ policy to depreciate Machines at 20% per annum on cost.
REQUIRED:
Prepare the following ledger accounts reflecting all applicable entries, in the books of Solomon Traders, properly balanced/closed off, for the years ended 31 March 2016:
1.1. Accumulated depreciation.
1.2. A Machines realisation.
NB: Show all calculations as marks will be awarded for calculations.
Answers
1.1. Accumulated depreciation:
The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.
1.2. Machine realization:
The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.
1.1. Accumulated Depreciation:
To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.
Machine bought on 1 July 2013:
Cost: R250,000
Depreciation rate: 20% per annum on cost
Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000
Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000
Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000
Accumulated depreciation for the machine bought on 1 July 2013:
As of 31 March 2014: R50,000
As of 31 March 2015: R100,000
As of 31 March 2016: R150,000
1.2. Machine Realisation:
To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.
Machine's original cost: R250,000
Accumulated depreciation as of 30 June 2015: R100,000
Net book value as of 30 June 2015:
R250,000 - R100,000 = R150,000.
On 30 June 2015, the machine was sold for R120,000.
Realisation amount: R120,000
To record the sale:
Debit Cash: R120,000
Debit Accumulated Depreciation: R100,000
Credit Machine: R250,000
Credit Machine Realisation: R120,000
Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).
These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.
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NO LINKS OR FILES THINGS LIKE THAT!!!!!!
DUE TODAY!!!!!!
Write format:
(Quarters,Dimes)
No spaces
Example:
5 quarters, and 2 dimes should be written as (5,2)
Answers
Answer:
(4,8)
Step-by-step explanation:
One of the marked points on the black line is (4,8).
__
You will notice that the only combination worth $3.00 is (12,0).
you want to install molding around the circular room. How much it would cost you to install the molding that you picked if it cost $4.22 per foot?
Answers
The cost of the molding is given as follows:
$119.30.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by the equation presented as follows:
C = 2πr.
The parameters for this problem are given as follows:
d = 9 -> r = 4.5.
(as the radius is half the diameter)
Hence the circumference is given as follows:
C = 2 x π x 4.5
C = 28.27 ft.
The cost is of $4.22 per ft, hence the total cost is given as follows:
4.22 x 28.27 = $119.30.
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The total points scored in a basketball game can be calculated using the expression 3c + 3.
If c = 41. how many points total were scored?
Answers
Answer:
126 points
Step-by-step explanation:
Convert 4.206 m into mm
Answers
Answer:
4206 is the answer of this question
Answer:
I think it will help you a lot.
In a company, 90% of the workers are men. If 410 people work for the company who aren't men, how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
Answers
The total number of workers if, In a company, 90% of the workers are women, If 440 people work for the company who aren't women is 4400.
What is percentage?
As it is clear from the term per-cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.
Given:
In a company, 90% of the workers are women,
If 440 people work for the company who aren't women,
Calculate the percentage of people who aren't women as shown below,
The percentage of people who aren't women = 100% - the percentage of women
The percentage of people who aren't women = 100% - 90%
The percentage of people who aren't women = 10%
Assume that there are a total of x workers then according to the statement,
10% of x = 440
10 / 100 × x = 440
x = 440 × 100 / 10
x = 4400
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Work out the percentage change to 2 decimal places when a price of £70 is increased to £99.
Answers
Answer: Your answer is 41.43%
To calculate, it is simply (99-70)/70 x 100
which is equal to 41.43%
Step-by-step explanation:
The percentage change in the price is 41.42%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, a price of £70 is increased to £99.
Now, the difference is 99-70=29
Percentage increase is 29/70 ×100
= 0.4142×100
= 41.42%
Therefore, the percentage change in the price is 41.42%.
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Order the following from least to greatest. 0.208, 0.0769, 0.546, 0.317, 0.00998
Answers
Justin recently drove to visit his parents who live 270
miles away. On his way there his average speed was 11 miles per hour faster than on his way home (he ran into some bad weather). If Justin spent a total of 9 hours driving, find the two rates.
Answers
Answer:
66 mph to visit55 mph to homeStep-by-step explanation:
An equation can be set up and solved based on the relation between the two speeds and the relation between time, speed, and distance.
Setuptime = distance/speed
Let x represent the (slower) speed on the way home. Then the total time for the round trip was ...
time going + time coming home = total time
270/(x +11) +270/x = 9
Solution30x +30(x +11) = x(x +11) . . . . . . multiply by x(x+11)/9
x^2 -49x -330 = 0 . . . . . . . . rewrite in standard form
(x -55)(x +6) = 0 . . . . . . . . factor
x = 55 or x = -6 . . . . . . . solutions to this equation; x < 0 is extraneous
Justin's rate on the way there was 66 mph; on the way home, it was 55 mph.
120 lb to 180 lb The percentage change is
Answers
Given:
Original value = 120 lb
New value = 180 lb
Let's find the percentage change.
To find the percentage change apply the formula below:
\(\text{Percentage change = }\frac{New\text{ value-Original value}}{\text{Original value}}\ast\frac{100}{1}\)Substitute values into the formula and evaluate.
We have:
\(\begin{gathered} \text{Percentage change = }\frac{180-120}{120}\ast\frac{100}{1} \\ \\ \text{Percentage change = }\frac{60}{120}\ast\frac{100}{1} \\ \\ \text{Percentage change = }0.5\ast100 \\ \\ \text{Percentage change = 50 \%} \end{gathered}\)Therefore, the percentage change is 50%
ANSWER:
50%
Design An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 12 more than three times the length of the
bottom of the triangle. The last side is 4 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.
Answers
Answer:
\(P_t=5x+16\)
Step-by-step explanation:
The perimeter of the triangle will be the sum of all the sides,
\(P_t=a+b+c\)
For this problem, let a=x, b=3x+12, and c=4+x. So,
\(P_t=(x)+(3x+12)+(4+x)\\P_t=x+3x+12+4+x\\P_t=x+3x+x+12+4\\P_t=5x+16\)
Plz help me find what ∠2 is measured to.
Answers
Answer:
73
Step-by-step explanation:
180-107=73
angle 1 is congruent to angle 3 which is 107 degrees
What is the value of p in this proportion? 7/10 / p = 2/5 / 3/8. Enter your answer as a simplified fraction in the box.
Answers
Answer:
The answer is 21/32
Step-by-step explanation:
took the test
how to graph y=-8/3x+9
Answers
2.000
5.333
=−2.667
x−intercept=
8
27
=3.37500
y−intercept=
3
27
=9
Step-by-step explanation:
this is the equation for a line in slope-intercept form
the y-intercept is 9, so find (0,9) on the graph
then, the slope is -8/3 (think "rise" over "run"), so from the point (0,9) you have to count down 8 (for -8) and then to the right 3 (for +3). from this point, you can now repeat the pattern of counting down 8 and right 3 and making points to connect.
when at least two points are connected, you have a line and that is your graph
PLS HELP WILL MARK BRAINIEST
Determine which car gets the better gas mileage (picture below)
Answers
Answer:
Car A
Step-by-step explanation:
All you have to do is find the rate of change
Distance Gallons
300 8
320 10
Car A
300 : 8
37.5 : 1
Car B
320: 10
32 : 1
37.5 > 32
So Car A gets the better gas mileage.
Hope this helped!
Show the number on a number line:
-12 ÷ 4 =
Answers
Answer:
well if we take -12 and divide it by four we will get -3.
Step-by-step explanation:
If we have a total of negative 12, just divide it by 4 and the difference between each division is the sum.
Your answer will be -3 on the number line.
:)
Answer:
Step-by-step explanation:
-12/4 = -3
Choose all numbers that round to 30,000 when rounded to the nearest ten thousanda. 285, 602b. 20,347c. 27,563d. 22,547
Answers
SOLUTION
The rule for rounding to the nearest ten thousand is to look at the last four digits. If the last four digits are 5,000 or greater, then we round our ten thousand digits up, and if it is less than 5,000, then we keep our ten thousand digits the same.
We now apply the rule above to each of the option
For option 1(A)
\(28\text{5 602}\)To round the number, since the last four digits is greater than 5000,
Then
\(\begin{gathered} 285602\text{ to the nearest ten thousand which is 290000} \\ \text{the number becomes } \\ 290\text{ 000} \end{gathered}\)hence 285, 607 to the nearest ten thousand is 290, 000
For Option 2(B)
\(\begin{gathered} 20,347 \\ \text{ Since the last four digit (0347) is less than }5000 \\ 20\text{ 347 becomes 20 000 to the nearest tens } \end{gathered}\)Hence the 20 347 to the nearest thousand is 20 000
For option 3(c)
\(\begin{gathered} 27,\text{ 547} \\ \text{ Since the last four digit (7547) is greater than 5000} \\ 27\text{ 547 is rounded to 30 000} \end{gathered}\)
hence, 27,547 to the nearest thousand is 30 000
For option 4(D)
\(\begin{gathered} 22,\text{ 547} \\ \text{the last four digit }(2547)\text{ is less than 5000 } \\ \text{hence 22,547 is rounded to 22 000} \end{gathered}\)Therefore 22 547 to the nearest thousand is 22 000
Hence the right option is C
A pipe has a diameter of 2.5 inches. Insulation that is 0.5 inch thick is placed around the pipe. What is the diameter of the pipe with the insulation around it?
Answers
Answer:
So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.
Step-by-step explanation:
To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:
C = 2 * π * r
Where:
· C = circumference of the pipe
· π = the mathematical constant approximately equal to 3.14
· r = the radius of the pipe
Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:
r = 2.5 inches + 0.5 inch = 3 inches
Plugging in the values:
C = 2 * π * 3
C = 6.28 * 3
C = 18.84 inches
Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.