Representative fraction is a form of scale that can be used to change the size of an object to form an image. The required length is 32 inches.
A scale is a fraction of numbers that can be used to either increase or decrease the size of a given object. It is majorly referred to as representative fraction in scale drawing.
Representative fraction = [tex]\frac{length on drawing}{original length}[/tex]
In the given question, we have;
12 inches = 1 feet
x inches = 30 feet
So that:
x = 30 x 12 inches
= 360 inches
representative fraction = [tex]\frac{2 inches}{360 inches}[/tex]
= 5.56 x [tex]10^{-3}[/tex]
Thus, given that the length of the Alamo Mission is 480 feet long. Then:
480 feet = 480 x 12 inches
= 5760 inches
So that,
the required length in inches = 5760 x 5.56 x [tex]10^{-3}[/tex]
= 32 inches
Therefore the expected length of the Alamo Mission is 32 inches.
Learn more about scale drawing at https://brainly.com/question/23209981
#SPJ1
Suppose a sightseeing tour company charges $7.50 for each hour you rent a motorized scooter, plus a non-refundable fee of $45. Write an equation that represents the total cost, y, of renting the scooter in relation to the number of hours, x.
An equation that plots the total cost, y, of renting the scooter against the duration, x is y=7.50x+45
What is meant by an equation?3x - 5 = 16 is an illustration of an equation. By solving for x, we discover that the variable's value is 7, or x = 7. By deleting parenthesis and merging related terms, you can simplify either side of an equation and obtain the solution. Together with the variables for which the equation must be solved, the values of the variables that must satisfy the equality to compose the answer are referred to as the unknowns. Equations can be categorized as identities or conditional equations. An identity holds true regardless of the value given to the variables. A conditional equation's variables can only have specific values that produce the truth.
Given,
You must pay a non-refundable $45, plus $7.50 per hour, to rent a motorized scooter from a sightseeing tour company.
The equation is y=7.50x+45
Therefore, a formula that plots the total cost, y, of renting the scooter against the duration, x is y=7.50x+45.
To know more about equation, visit:
https://brainly.com/question/10413253
#SPJ1
help asappppp i dont understand graphs
The function that is represented by the graph is defined as follows:
A. f(x) = (x - 1)(x + 2)(x + 4).
How to obtain the function represented by the graph?The function represented by the graph is obtained using the Factor Theorem, as we can identify the roots of the function from the graph.
The Factor Theorem states that the function can be declared according to it's linear factors, as follows:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which:
a is the leading coefficient of the polynomial.[tex]x_1, x_2, \cdots, x_n[/tex] are the roots of the polynomial.From the graph given in this problem, the roots of the polynomial are listed as follows:
-4, -2 and 1.
Hence the function can be defined as follows:
f(x) = (x - 1)(x + 2)(x + 4).
Considering a leading coefficient of 1, option A is correct.
More can be learned about the Factor Theorem at https://brainly.com/question/11813480
#SPJ1
find the range for 46 22 46 49 45 39 40 42 41 39 40 36
Answer: 27
Step-by-step explanation: 46 22 46 49 45 39 40 42 41 39 40 36
The range is calculated by subtracting the lowest value from the highest value.
So the lowest number is 22 and the highest is 49.
Then we subtract 22 from 49 to find the range.
In 1995, the standard bus fare in a city was $0.25. In 2022, the standard bus fare was $3.25. Find the percent
increase. (Round to the nearest tenth of a percent.)
Answer: 1200 percent increase
Step-by-step explanation:
Increase = New Number - Original Number
divide the increase by the original number and times 100
3.25-0.25=3
3/0.25=12*100
1200 percent
reteaching 5-5 using proportional Reasoning (PLEASE HELP)
1. The cost 7 Books is $10. 85
2. He can lay 336 bricks
3. n= 1
4. n= 1
5. n= 18
6. n= 5
7.n= 3
8. n=6
9. n= 6
10. n= 2
11.n= 12
12. n= 66
13. n= 10
14. n= 5
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
1. The cost 7 Books is = 7.75/ 5 x 7
= $10. 85
2. He can lay = 144/3 x 7
= 336 bricks
3. 4/24 = n/6
6 x4 = 24n
n= 1
4. 30/5 = 6/ n
30 n = 30
n= 1
5. n/6 = 27/ 9
9n = 162
n= 18
6. 50/ 70= n/7
n= 5
7. 14/7 = 6/n
2n= 6
n= 3
8. n/15= 2/5
n=6
9. 4/10 = n/ 15
n= 6
10. 4/200 = n/ 100
n= 2
11. 6/n= 5/10
n= 12
12. 32/22 = 96/ n
n= 66
13. 6/3 = n/5
n= 10
14. 2/n = 4/ 10
n= 5
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ1
Please help:
given that ∠QRS and ∠EFG are supplementary angles, find M∠QSR and M∠EFG
Evan saved $30 on a new TV. If the percent of discount was 20%, how much money did the
TV originally cost?
Answer:
$150
Step-by-step explanation:
we can make a ratio
20/100=30/x
cross multiple
20x=30(100)
20x=3,000
/20 /20
x=150 hopes this helps
Solve each system by elimination: 2x+y=5 3x-2y=4
Answer: 2x+y +5 we know that because if u get 2x+y we do 2xxy and get 2xy
Step-by-step explanation:
13) An airline know from experience that the ditribution of the number of uitcae that
get lot each week on a certain route i approximately normal with μ = 15. 5 and σ = 3. 6. In one year, how many week would you expect the airline to loe between 10 and 20
uitcae?
The probability of losing 10 to 20 suitcase between a week is 0.8313 by the airline company.
Given what we know,
μ = 15. 5 and σ = 3. 6
Additionally, the weekly distribution of missing baggage along a particular route is roughly average.
z =( x - μ ) / σ
Therefore,
z(20) = (20-15.5)/3.6
= 1.25
P(x < 20)
= P(z < 1.25)
= 0.8944
Therefore, the probability that during a given week the airline will lose between 10 and 20 suitcases = 0.8313
The ratio of good outcomes to all possible outcomes of an event is known as the probability.
The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results
To learn more about probability
brainly.com/question/13604758
#SPJ4
Choose the system of inequalities that best matches the graph below.
y
5
4
3
KE
-6-5-4-3-2-1 01 23 4 5 6
-1
IN
03
3
S
X
The inequalities that represent the line in the graph will be y < x - 3 and y = -(2/3)x. Then the correct option is B.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
From the graph, the blue line has a slope of 1 and the y-intercept is at (0, -3), then the inequality is calculated as,
y < x - 3
The red line is passing through the origin and (3, -2), then the equation is given as,
y - 0 = [(-2 - 0) / (3 - 0)](x - 0)
y = -(2/3)x
The disparities that address the line in the chart will be y < x - 3 and y = - (2/3)x. Then the right choice is B.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ1
What is the image point of (0,1) after translation right 5 and up 5 units?
Answer: (5,6)
Step-by-step explanation: 5 units right is adding 5 to your X. 5 units up is adding 5 to your Y.
For left and down, you'd subtract 5. For instance, "What is the image point of (8,9) after a translation of 5 units left, and 5 units down. The answer would be (3,4)
The Morgan family and the Collins family each used their sprinklers last summer. The Morgan family's sprinkler was used for 35 hours. The Collins family's sprinkler was used for 40 hours. There was a combined total output of 1725 L of water. What was the water output rate for each sprinkler if the sum of the two rates was 45 L per hour?
Answer:
you have to multiply 45^2
2025
a rhombus has sides of length 51 units each and a shorter diagonal of length 48 units. what is the length, in units, of the longer diagonal?
The length of the longer diagonal of the given rhombus with side length 51units and shorter diagonal 48 units is equal to 90units.
As given in the question,
Side length of the given rhombus 's' = 51 units
Length of the shorter diagonal of given rhombus 'a' = 48 units
Let us consider length of the longer diagonal of the given rhombus be 'b'
As per the property of the rhombus:
Diagonals of the rhombus bisects each other at right angle
Triangle formed by side length bisecting diagonals is right angled triangle.
Using Pythagoras theorem we have,
(Side length)² = (a/2)² + (b/2)²
Substitute the values
⇒ (51)² = (48/2)² + (b/2)²
⇒2601 = 576 + (b/2)²
⇒(b/2)² = 2601 -576
⇒(b/2)² = 2025
⇒b/2 = √2025
⇒ b/2 =45
⇒ b = 90units
Therefore, the length of the longer diagonal of the given rhombus is equal to 90units.
Learn more about rhombus here
brainly.com/question/27870968
#SPJ4
2.0 2.8
2.5 1.1
3.0 –0.8
3.5 –1.2
4.0 –0.3
4.5 0.7
For the given table of values for a polynomial function, where must the zeros of the function lie?
The zeros of the polynomial function should be between
(2.5, 1.1) & (3.0 -0.8) and (4.0, -0.3) & (4.5, 0.7)How to know the zeros of the polynomial functionThe zeros of a polynomial function is the point where the polynomial crosses the x axis
At this point, the y axis has a value of zero. This point can be seen on the graph easily as the graph will show the x intercept,
For the table, examining the values of the y coordinate to see where the signs change will help to know where the zero will lie.
The table shows that the y values changed sign at 1.1 to -0.8 and -0.3 to 0.7 and hence the zeros will lie between (2.5, 1.1) & (3.0 -0.8) and (4.0, -0.3) & (4.5, 0.7)
Learn more on zeros of polynomial function at:
https://brainly.com/question/26094492
#SPJ1
After a reflection of the figure, the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1). What is the line of reflection?
After a reflection of the figure, the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1). What is the line of reflection?
y = 2x
y = –x
x = 2
y = 2
Line of reflection for the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1) will be x = 2..
What is mean by Reflection?
Reflection is the process of taking the time to think deeply about the experiences, events, and choices that shape our lives. Reflection allows us to consider how our views and opinions have changed over time, and to take stock of our successes and failures. Reflection can also help us understand our personal values and beliefs and how we can use them to make more informed decisions in the future. Reflection involves looking inward and assessing our thoughts and feelings, as well as looking outward and considering our interactions with the world around us. Taking time for reflection can help us gain insight into our behaviors and motivations, as well as identify areas of our lives that need improvement. It can also help us stay mindful of our goals and stay on the path to achieving them. Reflection is an important part of personal growth and development, and can be a valuable tool for gaining self-awareness and increasing our emotional intelligence.
Given that;
After a reflection of the figure,
The image vertices are A'(5, 1), B'(3, –1), and C'(7, –1).
And, In the figure;
The vertices are A(-1, 1), B'(1, –1), and C'(-3, –1).
Now, When we take the reflection about the line x = 2.
Then, we get the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1) of the vertices A(-1, 1), B'(1, –1), and C'(-3, –1).
Therefore, Line of reflection for the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1) will be x = 2.
Learn more about the reflection visit:
brainly.com/question/26494295
#SPJ1
What is 1+1
A. 2
B. 3
C. -24,000
D. Some ridiculous number
Answer:
a
Step-by-step explanation:
ik my math
y = 1/4x+1 y =1/4x-1
How many solutions does this system
of equations have?
Answer:
3
Step-by-step explanation:
3 because you have to find x, you have to find x and y and then the overall answer
The given system of equations,
y = 1/4 x + 1
y = 1/4 x - 1
has no solution.
Given a system of equations.
There are two equations in the system.
We have to find the number of solutions for the system if it exists.
Consider the equations,
y = 1/4 x + 1
y = 1/4 x - 1
Since both the equations are in y value, they are equal.
1/4 x + 1 = 1/4 x - 1
1/4 x - 1/4 x = -1 - 1
0 = -2
This is not possible.
This means that the given system has no solution.
Hence the given system of equations has no solution.
Learn more about System of Equations here :
https://brainly.com/question/20067450
#SPJ6
I need your assistance please
Answer:
subtraction property of equality
Step-by-step explanation:
Anna is ordering a taxi from an online taxi service. She has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far she travels. She wrote an equation to represent her total cost, y=3+2. 3xy=3+2. 3x, where yy represents the total cost in dollars and cents, and xx represents the number of miles she travels. What could the number 3 represent in the equation?.
Answer:
The number 3 represents the fixed cost in the equation which is the flat charge.
Need some help with this!
Answer:
4 liters
Step-by-step explanation:
We need to first figure out what the proportional value is.
(Y ×? = X)
10(Y) × 2.5 = 25 (X)
If the capacity of X is equivalent to 10 liters, then we need to use the same proportional value to get the number of liters for Y.
10 ÷ 2.5 = 4
Trough Y can contain 4 liters
How might you use a perpendicular bisector or an angle bisector in your everyday life?
And why would an orthocenter be the most difficult part of a triangle for someone to identify and use?
You use a perpendicular bisector or an angle bisector in your everyday life and orthocenter be the most difficult part of a triangle.
Everyday life example :
On a clock, the second hand in the middle of the hour hand and minute hand, is working as the angle bisector.
For a perpendicular bisectors, take two ends of a compass needle, with the long end on the North, the short end is pointing South, and the lines of East and West are on the left and right.
Orthocenter :
The orthocenter is the point of intersection of the three altitudes of a triangle. It is the hardest part of the triangle to find because :
It can lie inside a triangle or outside the triangle as it depends on the type of type of the triangle whether it is acute or obtuse. So, in order to identify it we must first know the type of the triangle.
And secondly, the formula for finding orthocenter is quite complicated so it is the hardest part of the triangle to identify and use.
Learn more about the orthocenter here:
https://brainly.com/question/29576583
#SPJ4
Which one doesn't belong?
1. 5 + 7 = 7 + 5
2. 5 * 7 = 7 * 5
3. 2 = 7 - 5
4. 5 - 7 = 7 - 5
Write a post sharing which equation you think doesn't belong and why.
Answer:
3 does not belong because its not long enough
not allowed
a) Find the mode shown below.
15, 8, 21, 2, 12, 22, 19, 8, 19, 8
Answer:8
Step-by-step explanation: Mode is the value or values in the data set that occurs most frequently.
Find the measure of each angle indicated.
Answer:
answer is 124 degree ....
seasonality causes comparability problems in ratio analysis. a common solution is to use an average account balance as opposed to an ending account balance. t or f
The given statement is true.
Seasonal inventory or revenue fluctuations that are not based on sales can artificially inflate or deflate the value of the company's assets.
What is Seasonal inventory ?
Products with a seasonal inventory are those that sell more frequently at particular times of the year. Weather, events, and holidays can affect how much demand there is for these products.
Holiday merchandise was probably your first thought when thinking about seasonal inventory. Labor Day weekend, Halloween, and Christmas are a few examples of holiday inventory. Every one of them sells particular goods that people only purchase around the holidays.
To learn more about seasonal inventory visit:https://brainly.com/question/12942515
#SPJ4
how to divide 3.5 by 70
calculator is going to be the most accurate
Find the length of the segment. Write the mixed number in simplest form.
Answer:
[tex]1 \, \dfrac{3}{8}[/tex]
Explanation:
It's 1/8 less than 1 1/2.
[tex]1 \, \dfrac{1}{2} - \dfrac{1}{8} = 1 \, \dfrac{4}{8} - \dfrac{1}{8} = 1 \, \dfrac{3}{8}[/tex]
Mr. Reynolds is a car salesman. He makes a salary of $55,000 a year. He
also earns a commission of of his total sales for the year. This year, Mr.
Reynolds has a sales total of $295,200. Write and evaluate a function to find
Mr. Reynolds's total earnings for the year.
Answer:you speak French pls
Step-by-step explanation:
:::
A rectangular box has dimensions 40 cm by 35 cm by 30 cm.
calculate the largest number of cubes of length 10 cm that can be placed inside the box.
The largest number of cubes that can be placed in the rectangular box is 42
How to find the cubes the box can containThe problem is solved by solving for the volume of the rectangular box and dividing by the given size of cube
The formula for the volume of rectangular box is given by
= length * width * height
= 40 * 35 * 30
= 42000 cm³
A cube of length 10 cm has a volume of 1000
= 10 * 10 * 10 = 1000
the largest number of cubes of length 10 cm that can be placed inside the box.
= 42000 / 1000
= 42
Learn more about volume of cubes at:
https://brainly.com/question/1972490
#SPJ1
How do you write 142/00 as a percentage
Answer: 14200%
Step-by-step explanation:
To convert 142 to percent multiply 142 by 100. The result is 14200 percent, or, using the percent sign, 14200 %.
Put simply, to change 142 to % move the ″.″ two places to the right.
Check out the next plus one section on how to express 142 as a percent. And, in case you have a number different from 142, then use our decimal to percent calculator above.
If our calculator has been of help to you make sure to bookmark it now. Besides 142 into percent, it can convert any decimal to percent and vice versa.
What is 142 as a Percent?
You already know the answer to what is 142 as a percent. Ninety-one as a percent is 14200%.
If you have been looking for 142 as %, 142 in %, 142 in percentage or what is 142 as a percentage then you have also found what you have been looking for.
Note that you can find many decimal to percent conversions, including 142 in percentage, by using the search form in the sidebar.
Enter, for instance, 142 to percents.
BTW: Similar conversions include, for example:
147 as a percent
148 as a percent
149 as a percent
Next we explain how do you write 142 as a percent.
Write 142 as a Percent
To write 142 as a percent multiply 142 by 100 to obtain 14200. Then append the percent sign (%). To learn about the spacing check out the reference section of decimal to percent.
In a table and in texts with space restrictions you write 14200%, whereas in a running text, like this one, you write it spelled out as 14200 percent in American English, and 14200 per cent else.
Particularly in the UK, the abbreviations pc, pct., and pct are also used sometimes, e.g. 14200pc.
These days, the old forms 14200 per centum and per cent followed by a period, 14200 per cent., are hardly seen anymore and can be considered obsolete in daily life.
There is no difference in meaning between the two-word per cent and percent. Choosing between 14200 per cent and 14200 percent is merely a matter of preference.
142 as a Percentage
142 as a percentage of certain number x can be calculated by dividing 142 by x, and multiplying the result by 100. For example, 142 as a percentage of 10 = (142 / 10) x 100% = 1420%.
Feel free to use our decimals to percents calculator below. Enter 142 in the number field, then insert your value in the field labelled “% of”.
To start over, press reset first.
At this stage the 142 in percent conversion will be conducted automatically. Observe that the result is rounded to ten decimal places.
[tex]142/100[/tex] can be written as [tex]142[/tex][tex]%[/tex]%.
The Latin word "per centum," which means "by the hundred," was the source of the English word "percentage." Fractions with a denominator [tex]100[/tex] are called percentages.
A percentage is a certain number or part of every hundred. It is a fraction with a denominator [tex]100[/tex], and the symbol for it is "%."
Finding the percentage of a whole in terms of [tex]100[/tex] is what percentage calculation refers to.
There is no dimension to percentages. As a result, it is known as a dimensionless number.
A fraction or a decimal can also be used to represent a percentage.
Therefore, the answer is [tex]142[/tex]%.
For more information about percentages: https://brainly.com/question/24877689
The correct question is :
How do you write 142/100 as a percentage?