Abigail is redecorating her house. A scale drawing of 2 rooms can be seen below. If each 6 cm on the scale drawing equals 12 ft, what are the actual dimensions of Abigail’s house?
Room measurements:
A: 9 cm
B: 10 cm
C: 9 cm
D: 8 cm
E: 7 cm
Answers
we know that
scale factor r=[dimension scale drawing]/[actual dimension]
r=6/12=0.5 cm/ft
[actual dimension]=[dimension scale]/r
for dimension scale=9 cm
[actual dimension]=[9]/0.5=18 ft
for dimension scale=10 cm
[actual dimension]=[10]/0.5=20 ft
answer
the actual dimensions of Abigail’s house are 18 ft x 20 ft
the area of Abigail’s house is (18*20)=360 ft²
Related Questions
does 3/4 have the same value as the expression 4 ÷ 3 answer
Answers
You may use any word processing program or Web 2.0 tool to present your argument, but you must include the following: A summary of your argument. The summary should begin with the argument statement you chose. In addition, provide at least three reasons why the method you chose is better than the other method and at least three reasons why the other method is not better. This summary can have a lot of opinion in it and should be persuasive and argumentative. A list of at least two resources used. Resources may include interviews with professionals and/or URLs of websites. Remember, you may gather ideas from research, but you must explain the ideas yourself.
Answers
In summary, an effective argumentative essay includes a clear thesis statement followed by logically structured reasons supported by a mix of well-researched evidence and personal knowledge, ensuring a persuasive and objective argument.
Students tasked with creating an argumentative essay must focus on developing a persuasive argument. The essay should begin with a summary of the argument that clearly states the main thesis. Following this, at least three reasons should be provided to support why the adopted approach is superior, using logical and persuasive evidence, such as statistics, expert opinions, and relevant examples. Contrary to this, the reasons why the alternative method is less effective should also be articulated. The Rule of 3 is a strategic approach where the contentions made to support an opinion are outlined in three clear points, enabling a structured and convincing argument to be presented.
To successfully make an argument in a position paper, it is crucial to provide a paragraph for each reason, starting with a clear topic sentence and backed by well-researched evidence. This can include research findings, personal knowledge, and a variety of evidence to ensure the argument is perceived as objective. An informal approach may also be used to frame the debate, maintaining relevance and ensuring engagement with the topic.
Finally, it's vital to use reliable resources to supplement the argument. A combination of research from credible sources and well-prepared reasoning constructs an objective and persuasive document that clearly distinguishes the author's ideas from those presented in the referenced texts.
the Jackson family went out to dinner
the price of the meal was 43.45
the sales tax was 7% of the price of the meal
the tip was 15% of the meal and sales tax.
how much money did the smith family pay for the meal, including tax and tip?
Answers
Answer: Amount that the Smith family need to pay for the meal including tax and tip = 53.47.
Step-by-step explanation:
Since we have given that
Price of the meal = 43.45
Rate of sales tax = 7%
Amount becomes after the sales tax is given by
[tex]\frac{7}{100}\times 43.45\\\\\frac{304.15}{100}\\\\=3.0415\\\\\text{Amount}=43.45+3.0415=46.4915[/tex]
Rate of tips over meal and sales = 15%
Amount of tips is given by
[tex]\frac{15}{100}\times 46.4915\\\\=0.15\times 46.4915\\\\=6.974[/tex]
So, Amount becomes
[tex]46.4915+6.974\\\\=53.465\\\\=53.47[/tex]
Hence, Amount that the Smith family need to pay for the meal including tax and tip = 53.47.
Is y = 0 the asymptote of all functions of the form f(x) = ab^x? Explain your reasoning.
Answers
Final answer:
No, y = 0 is not the asymptote of all functions of the form f(x) = ab^x. The y = 0 line is called the x-axis and is only an asymptote for certain functions. Functions of the form f(x) = ab^x do not have y = 0 as an asymptote.
Explanation:
No, y = 0 is not the asymptote of all functions of the form f(x) = ab^x. The y = 0 line is called the x-axis and is only an asymptote for certain functions. In order for a function to have y = 0 as an asymptote, the limit of the function as x approaches infinity or negative infinity would need to be 0. For example, the function f(x) = 1/x has y = 0 as an asymptote because as x approaches infinity or negative infinity, the function approaches 0. However, functions of the form f(x) = ab^x do not have y = 0 as an asymptote because as x approaches infinity or negative infinity, the value of the function either approaches infinity or approaches 0, depending on the values of a and b.
anyone wants to help?
Answers
The y-intercept is 1/3.
This is because this is written in slope intercept, which is defined as:
y = mx + b
With the slope being m and the y intercept being b. 1/3 is being added to -2/9x, and therefore by the rules of the formula it's the y intercept.
As a quick background on a y intercept, it's where the line crosses the y axis. It can be positive, or negative, and the coordinates never have an x value.
Hope this helps!
The bus will leave Norfolk, VA at 6:00 a.m. on Thursday. The distance from Norfolk to New York City is 350 miles. The average speed of the bus is 50 miles per hour. 1.Determine how long it will take the charter bus to arrive in New York City. Represent the distance traveled every hour in a table of values.
Answers
A table would look something like this:
0 1 2 3 4 5 6 7
0 50 100 150 200 250 300 350
Hope you can read it and this helps
A satellite is 18 meters wide. A model of it was built with a scale of 1 centimeter: 3 meters. How wide is the model?
Answers
Answer: 6 centimeters
Step-by-step explanation: I took the test and got this answer correct :)
The vertices of triangle ABC are A(−6,−3) and B(2,−3). Which coordinates of the third vertex allow the triangle to have an area of 24 square units?
Answers
The third vertex C of triangle ABC with vertices A(-6,-3) and B(2,-3) and area 24 square units can have coordinates (0,3) or (0,-9).
Explanation:
Given the vertices of triangle ABC are A(−6,−3) and B(2,−3). The coordinates of point C will form the third vertex of the triangle. The distance from A to B is the base of the triangle and can be calculated as follows: AB = sqrt[(2 -(-6))^2 + ((-3) - (-3))^2] = 8 units. The area of a triangle is calculated by the formula: 1/2*base*height=area. Given that the area of the triangle ABC is 24 square units, we can set up the following equation: 1/2*8*height=24. Solve for height to get the y-coordinate of point C as 6 units above the line AB (which lies on y = -3), for C(0,3) or 6 units below line AB for C(0,-9). Therefore, the third vertex C can be at coordinates (0,3) or (0,-9) for the triangle to have an area of 24 square units.
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Rachel opened a savings account 6 years ago. The account earns 8% interest, compounded monthly. If the current balance is $1,000.00, how much did she deposit initially?
Answers
Two sides of an isosceles triangle have lengths of 6 inches and 15 inches, respectively. What is the length of the third side?
Answers
The radius of a circle can be found by dividing the circumference of the circle by 6.28. What is the radius of a circle that has a circumference of 17.27 feet?
0.36 ft
2.75 ft
10.99 ft
2.58 ft
HELP ME!!
Answers
circumference ÷ 6.28 = radius
The circumference here is 17.27 feet :
circumference ÷ 6.28 = radius
so
17.27 ÷ 6.28 = 2.75
The radius of the circle is 2.75 feet.
What is the equivalent factored form of 12x^4-42x^3-90x^2
Answers
12 x^4 - 42 x^3 - 90 x^2
Factor 6 x^2 out of 12 x^4 - 42 x^3 - 90 x^2:
6 x^2 (2 x^2 - 7 x - 15)
Factor the quadratic 2 x^2 - 7 x - 15. The coefficient of x^2 is 2 and the constant term is -15. The product of 2 and -15 is -30. The factors of -30 which sum to -7 are 3 and -10. So 2 x^2 - 7 x - 15 = 2 x^2 - 10 x + 3 x - 15 = x (2 x + 3) - 5 (2 x + 3):
6 x^2 x (2 x + 3) - 5 (2 x + 3)
Factor 2 x + 3 from x (2 x + 3) - 5 (2 x + 3):
Answer: 6 x^2 (2 x + 3) (x - 5)
6x^2(2x^2 - 7x - 15) =
6x^2(2x+3)(x - 5) <==
hope this helped :)
alisa202
What is the domain of the square root function graphed below?
Answers
From the graph, we see the least value of x is 3. x can be any value greater than or equal to 3.
The domain is
[tex] x \ge 3 [/tex]
Answer:
x greater than or equal to 3
Step-by-step explanation:
got it right on quiz
25 POINTS TO WHO EVER ANSWERS!!!
1. An ice cream store owner randomly samples 50 customers each day on three separate days to give their opinion about which flavors should be flavor of the month.
Vanilla | Chocolate | Rocky Road | Cheesecake
Day 1: 13 | 12 | 11 | 14
Day 2: 12 | 15 | 11 | 14
Day 3: 15 | 7 | 8 | 20
Select from drop-down menu to complete the statement using the information in the "table".
Based on the results of the survey, if the ice cream store owner asks 2300 people, ____ will most likely pick vanilla to be flavor of the month.
2. The line plots show the results of a survey of 10 boys and 10 girls about how many hours they slept the previous night.
x
x
x x
x x x x x x
<-+-+-+-+-+-+-+-+-+-+->
1 2 3 4 5 6 7 8 9 10
x x
x x x
x x x x x
<-+-+-+-+-+-+-+-+-+-+->
1 2 3 4 5 6 7 8 9 10
Select from the drop-down menus to complete each statement.
The range ________. The mean __________.
1. answers: 40, 150, 460, or, 613
2 A. answers: is greater for boys, is greater for girls or, us the same for both sets of data
2 B. answers: is the same for both sets of data, is greater for the boys or, is greater for the girls
Answers
Standard form............
Answers
Ninety-eight = 98
six-tenth = 0.6
98 + 0.6 = 98.6
98.6 is your answer
Hope this helps
Of the 304 people who attended the school play,5/8 were students.How many of the people who attended were students?
Answers
a $4,000.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account?
Answers
Now we multiply that with starting funds and get
4000* 1.05^4 = 4862.03
To calculate the balance in the account after 4 years, use the compound interest formula.
Explanation:To calculate the balance in the account after 4 years, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A is the balance after the specified time period
P is the principal amount (initial deposit)
r is the interest rate (as a decimal)
n is the number of times the interest is compounded per year
t is the number of years
In this case, the principal is $4,000, the interest rate is 5% (written as 0.05), the interest is compounded annually (n = 1), and the time period is 4 years (t = 4). Plugging in these values, we get:
A = $4,000(1 + 0.05/1)^(1*4)
A = $4,000(1.05)^4
A = $4,000(1.2155)
A ≈ $4,862.20
The balance in the account after 4 years is approximately $4,862.20.
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A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal line to the opposite corner. How far did the player run? Round your answer to the nearest meter.
Answers
The distance covered by a player on a rectangular football field will be 118.73 meters.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal line to the opposite corner.
Then the distance covered by a player on a rectangular football field will be given by the Pythagoras theorem.
H² = 100² + 64²
H² = 10000 + 4096
H² = 14096
H = 118.73 meters
The distance covered by a player on a rectangular football field will be 118.73 meters.
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A local hamburger shop sold a combined total of 712 hamburgers and cheeseburgers on Tuesday. There were 62 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Tuesday?
Answers
There are 62 more cheeseburgers than hamburgers
let cheeseburers = c
let hamburgers = h
h + 62 = c
c + h = 712
Plug in h + 62 for c
(h + 62) + h = 712
2h + 62 = 712
2h + 62 (-62) = 712 (-62)
2h = 650
2h/2 = 650/2
h = 325
There are 325 hamburgers sold on Tuesday
c = 325 + 62
c = 387
There are 387 chesseburgers sold on tuesday (in case you were wondering)
hope this helps
Final answer:
To find how many hamburgers were sold, we set up an equation and solve for H, the number of hamburgers. After forming the equations, simplifying, and solving, it turns out that 325 hamburgers were sold on Tuesday.
Explanation:
The student is asking how many hamburgers were sold on Tuesday given that a total of 712 hamburgers and cheeseburgers were sold, with there being 62 more cheeseburgers sold than hamburgers. To solve this, we can set up an equation. Let's denote the number of hamburgers sold as H and the number of cheeseburgers as C. According to the problem,
C = H + 62 and H + C = 712.
By substituting the first equation into the second, we get:
H + (H + 62) = 712
Simplifying, we have
2H + 62 = 712
Subtracting 62 from both sides, we get-
2H = 650
Dividing both sides by 2, we find -
H = 325
Therefore, 325 hamburgers were sold on Tuesday.
Need help with number 9 please, thanks.
Answers
A hot air balloon descends at a rate of 320 ft per minute for 3 minutes use integers to calculate represent the balloons total change in altitude
Answers
320 (feet per minute) / 1 (minute) = x (feet per minute) / 3 (minutes)
1) Divide: 320/1 = 320.
2) Multiply: 320 x 3= 960.
The balloon that descends at a rate of 320 feet/minute (so, every minute, it descends 320 feet) descends a total of 960 feet in 3 minutes.
The balloon's total change in altitude is -960
What is the slope of the graph shown below?
Answers
Answer: The correct option is (A) 4.
Step-by-step explanation: We are given to find the slope of the graph shown in the figure.
We can see that the graph is a straight line.
Also, the line passes through the points [tex](0,-3)[/tex] and [tex]\left(\dfrac{3}{4},0\right).[/tex]
We know the slope of a straight line passing through the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
Therefore, the slope of the given line is
[tex]m=\dfrac{0-(-3)}{\frac{3}{4}-0}\\\\\\\Rightarrow m=\dfrac{3}{\frac{3}{4}}\\\\\\\Rightarrow m=3\times\dfrac{4}{3}\\\\\\\Rightarrow m=4.[/tex]
Thus, the required slope of the graph is 4.
Option (A) is correct.
how to solve this ? the question asked, the distance between two houses P&Q is 200 kilometer. Joe travel by car from P to Q at average speed of x km/h
a) write down an expression in terms of X for the number of hours he took to travel from P to Q.
b) he returned from Q to P at an average of (x + 5) km/h. write down an expression in terms of X for the number of hours he took to travel from Q to P
c) the total time he took to go from P to Q & to return from P to Q was 8 hours
Answers
Hey !!
Check the attachment.
Hope it helps you :)
When a class took a math test, 15% of the class failed, 25% made some mistakes (but didn’t fail), and 24 students got perfect scores. How many students were in the class?
Answers
24 students X students——————- = —————-60% of class 100% of class
Next, cross multiply to get 2400 = 60X. Divide both sides by 60 and you’ll get 40. There are 40 students in the class.
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Write a story problem to represent 5 divided by 1/4
Answers
Hope this helps!
The problem can be seen below, we will see that the quotient between the given numbers is 20.
How to write the problem?Here we want to divide 5 by 1/4.
An example of this can be: Assume that you have $5, and you want to buy pieces of wood (to make little houses for birds) such that each piece costs $(1/4).
How many pieces can you buy?
To solve this, we need to take the quotient between 5 and (1/4), this gives:
[tex]\frac{5}{1/4} = 20[/tex]
You can buy 20 pieces.
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two numbers have a difference of 0.7 and a sum of 1 what are the numbers
Answers
0.85 - 0.15 = 0.70
0.85 + 0.15 = 1
0.85 and 0.15 is your answer
hope this helps
{x-y = 0.7
add both equations
2x = 1.7
x = 0.85
x+y = 1
y = 1-x
y = 1-0.85
y = 0.15
A cube has a surface area of 486 square meters. What is the volume of the cube.
Answers
a=486/6=81
s=sqrt(81)=9
v=9^3=729
the volume of the cube is 729cm^3
aequals486/6=81
sequalssqrt(81)=9
vequals9^3=729
the volume of the cube is 729cm^3
What is 14.281 rounded to the nearest one?
Answers
macy is trying to construct an isosceles triangle. She assigns and angle measurement of 40 degrees to the unique angle of the triangle. She wants the length fo the opposite side (the base) to be 6 centimeters. How many isosceles triangles can macy construct using this information? A. 3 cm B. 10 centimeters, C. 12 Centimeters D. 14 centimeters, E. 18 centimeters
Answers
(180-40)/2=70
given that that the base is 6 cm, Macy can only form 1 triangle with these dimensions.
The length of the other sides will be found using sine rule
a/sin A=b/sin B
a=6 cm
A=40°
b=?
B=70
hence:
6/sin 40=b/sin 70
b=(6sin 70)/sin40
b=8.77 cm
Answer:
the awnser is 2
Step-by-step explanation:
if she makes more that 2 the 3rd one wont be an isosoceles triangle
What symbol should be placed in the blank to make the equation true? 3 + 10___ 2 - 4 = 4