The scale drawing at right shows the first slope of a house, the actual dimensions of the garage are 20 feet by 25 feet. All angels are right angels.
A. how many feet does each inch represent? That is, what is the scale?
B. What are the length and width of the living room on the scale and drawing( in inches)?
C. What are the actual length and width of the living room( in feet)?
D. if the family wants to lay carpet in the living room and carpeting cost $1.25 per square foot, how much will carpet cost
Answers
Answer:
See belowStep-by-step explanation:
A)
According to dimensions of the garage, the scale is:
1 in : 20 ft, as the width of the garage is 20 ft and on paper is 1 inB)
Living room
Dimensions on paper:
2 in x 1 1/4 inC)
Actual dimensions:
2*20 ft = 40 ft and1 1/4 * 20 ft = 25 ftD)
The area of the living room:
A = lw = 25*40 = 1000 ft²Cost of carpet:
1000*$1.25 = $1250Length
20(2)=40ftWidth
1.25(20)25ftArea
25(40)1000ft²Total cost
1000(1.25)$1250Related Questions
Find an equation of the tangent line to the hyperbola x2 a2 − y2 b2 = 1 at the point (x0, y0).
Answers
The equation of the tangent line is [tex]y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}[/tex]
To find the tangent to the hyperbola [tex]\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} }[/tex] at (x₀, y₀), we differentiate the equation implicitly to find the equation of the tangent at (x₀, y₀).
So, [tex]\frac{d}{dx} (\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} }) = \frac{d0}{dx}\\\frac{d}{dx} \frac{x^{2} }{a^{2} } - \frac{d}{dx}\frac{y^{2} }{b^{2} }= 0\\\frac{2x }{a^{2} } - \frac{dy}{dx}\frac{2y }{b^{2} } = 0\\\frac{2x }{a^{2} } = \frac{dy}{dx}\frac{2y }{b^{2} } \\\frac{dy}{dx} = \frac{b^{2}x }{a^{2}y }[/tex]
So, at (x₀, y₀)
[tex]\frac{dy}{dx} = \frac{b^{2} x_{0} }{a^{2} y_{0} }[/tex]
So, the equation of the tangent line is gotten from the standard equation of a line in point-slope form
So, [tex]\frac{y - y_{0} }{x - x_{0} } = \frac{b^{2} x_{0} }{a^{2} y_{0} } \\y - y_{0} = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) \\y = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) + y_{0} \\y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}[/tex]
So, the equation of the tangent line is [tex]y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}[/tex]
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What graph represents a function with a growth factor of 5?
Answers
Answer:
The answer should be C!
Step-by-step explanation:
When you multiply the y value 0.04 and 5 it comes out as 0.02.
Para monetizar contenidos en una red social, los videos nuevos que sean subidos deben superar las 1300 visitas diarias, y para monetizar los antiguos, han de tener mínimo 3000 visualizaciones y acumular 1000 visitas diarias.
¿Con qué expresiones algebraicas se pueden visualizar las visitas que han de tener cada día ambos tipos de video?
Answers
Answer:
Upcoming technology made of large organic molecules and genetically engineered protein is calledRelated to the Business means, directly or indirectly, used in, arising from or relating in any manner to the BusinessWelcome to Gboard clipboard, any text you copy will be saved here.
Watch help video
Members of a lacrosse team raised $1431.75 to go to a tournament. They rented a bus
for $1051.50 and budgeted $29.25 per player for meals. Write and solve an equation
which can be used to determine p, the number of players the team can bring to the
tournament.
Equation:
Answer: p =
Submit Answer
attempt 1 out of 2
Answers
Step-by-step explanation:
p = (1431.75 - 1051.50)/29.25
p = 13
x ⋅ x = ? (1 point)
ttm
Answers
Answer:[tex]x 6[/tex]
Step-by-step explanation: Im not to good at math but hope that hlps
Answer:
x^x
Step-by-step explanation:
hope this helps :)
what is the slope of the line containing the points (3,-7) and (-3,7)
Answers
Answer:
-7/3
Step-by-step explanation:
To find the slope, we use the slope formula
m= ( y2-y1)/(x2-x1)
= ( 7 - -7)/(-3 -3)
= ( 7+7)/( -6)
= 14/-6
= 7/-3
= -7/3
Step-by-step explanation:
m = y2-y1 / x2-x1
= 7+7 / -3-3
= 14/-6
= -7/3
A sales person at a car dealership earns a monthly salary of $2400 and $250 for each vehicle sold
Answers
Step-by-step explanation:
8 vehicle.
Step-by-step explanation:
Given: Monthly salary of salesperson is $2400
Incentive of salesperson is $250 per vehicle sold.
First, lets compute income to earned apart from salary.
∴ Deduct salary from the target amount
\$ 4400-\$ 2400= \$ 2000$4400−$2400=$2000
∴ 2000 need to be earned only through incentive, which is2000needtobeearnedonlythroughincentive,whichis250 per vehicle sold.
Now, solving to get number vehicles to be sold to earn $2000 as incentive.
Number of vehicle= \frac{2000}{250}= 8\ vehicles2502000=8 vehicles
∴ 8 vehicles need to be sold by salesperson to get total earning as $4400
the world population in 2016 was estimated to be 7.4 billion people and it is increasing by about 1.1% per year. assume that this percentage growth rate remains constant through 2030 explain why the population is an exponential function of time. what would you expect the world population to be in 2030
Answers
Answer:
1
Step-by-step explanation: i guessed
Help finding the missing length
Answers
Answer:
4x2-6x+6
Step-by-step explanation:
(9x2-2x) +(3x-5)+(m) =13x2-5x+1
(13x2-5x+1)-(9x2+x-5)=m
solve pls brainliest
Answers
give brainless thanks
Please quickly answer will mark brainliest (100 points) also say answer in text
Answers
Step-by-step explanation:
square root of 196 is 14
square root of 169 13
square root of 121 is 11
square root of 225 is 15
square root of 144 is 12
square root of 100 is 10
Helppp A local office supply store charges 18 to set up their business card printing machine with the design and $0.15 in materials per business card to print
Answers
Answer: It’s 18+0.15x divided by x so it’s B
Step-by-step explanation:
The expressions that represent average cost A(x) are B) A(x) = (18 + 0.15x)/x
and F) A(x) = 18/x + 0.15.
What is the weighted average?When the average is not of any individual rather it is an average of two or more groups or sets it is called a weighted average.
To obtain the weighted average we multiply no. of individuals by their averages and sum the next group in the previous procedure and divide them by the total no. of individuals.
Given, A local office supply store charges $18 to set up their business card printing machine with the design and $0.15 in materials per business card to print.
The expression that represents average cost A(x) = (set up cost + cost per business card×no of cards) divided by no. of cards.
A(x) = (18 + 0.15x)/x.
Also A(x) = 18/x + 0.15.
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Triangle ABC has vertices A(-3,2) B(0,1) and C(-2,-3).
1. Graph triangle ABC and its reflection across the line x=-2?
2. What are the coordinates of triangle A'B'C' if triangle ABC is reflected across the x-axis?
3. What are the coordinates of triangle A'B'C' if triangle ABC is reflected across the y-axis?
4. What are the coordinates of triangle A'B'C' if triangle ABC is reflected across the line y=x?
Answers
If triangle ABC is reflected across the line x = -2, the new point is A'(-1, 2), B'(2, 1) and C'(-2, -3)
If triangle ABC is reflected across the x axis, the new point is A'(-3, -2), B'(0, -1) and C'(-2, 3)
If triangle ABC is reflected across the y axis, the new point is A'(3, 2), B'(0, 1) and C'(2, -3)
If triangle ABC is reflected across the line y = x, the new point is A'(2, -3), B'(1, 0) and C'(-3, -2)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Triangle ABC has vertices A(-3,2) B(0,1) and C(-2,-3).
1) If triangle ABC is reflected across the line x = -2, the new point is A'(-1, 2), B'(2, 1) and C'(-2, -3)
2) If triangle ABC is reflected across the x axis, the new point is A'(-3, -2), B'(0, -1) and C'(-2, 3)
3) If triangle ABC is reflected across the y axis, the new point is A'(3, 2), B'(0, 1) and C'(2, -3)
4) If triangle ABC is reflected across the line y = x, the new point is A'(2, -3), B'(1, 0) and C'(-3, -2)
Find out more on transformation at: https://brainly.com/question/1620969
If triangles ABC and XYZ are similar, what is the length of side b?
Answers
By doing 15 / 10, we can find how much the right triangle has been reduced compared to the left triangle. So, it’s been reduced by 0.5
Because we’re trying to find side b which is on the larger (left) triangle, we do 8 x 1.5 which is 12
And this is not the only question I got to get five right so if you get the question right wait until I make another question please and thank you
Answers
9514 1404 393
Answer:
A rotation 90° CW followed by translation right 5 units.
Step-by-step explanation:
It is easier to choose the right composition of transformations if we know what your choices are.
Figure F has an orientation that is 90° CW from that of figure E, so a 90° CW or 270° CCW rotation could be one of the transformations.
Rotation about the origin will move the figure so that the acute angle is in a different quadrant. In order to return it to the same quadrant a translation is required. The amount of translation will depend on whether it comes before or after the rotation.
Possible sequence of motions are ...
A rotation 90° CW followed by translation right 5 unitsTranslation up 5 units followed by rotation 90° CWthree angles of a quadrilateral are 34°, 70° and 126°. find the measure of the fourth angle.
Answers
Answer:
130 will be correct answer
Step-by-step explanation:
The three angles are
34° 70° and 126°
we have to find fourth angle
let us consider fourth angle as X
The sum of quadrilateral is 360°.
So
34°+70°+126°+ x = 360°
130+X =360°
X = 360°-130°
X = 230°
Here we got the fourth angle
solve the system by elimination
x - y = -1
4x + 6y = -74
a) no solution
b) infinite number of solutions
Answers
9514 1404 393
Answer:
one solution: (x, y) = (-8, -7)
Step-by-step explanation:
We can add 6 times the first equation to the second equation in order to eliminate y.
6(x -y) +(4x +6y) = 6(-1) +(-74)
10x = -80
x = -8
y = x+1 = -7 . . . . . solve the first equation for y; substitute x
The one solution is (x, y) = (-8, -7).
What is the length of side s of the square shown below? 45° 6 30
A. 34
B. 6
C. 3
D. 6-2
E. 2
F. VE
Answers
Answer:
The correct answer should be D.
Step-by-step explanation:
9. The sum of three consecutive EVEN integers is 50 more than the third
integer. Find the integers.
Answers
Answer:
Step-by-step explanation:
The smallest integer is 2x - 2
The middle integer = 2x
The largest integer = 2x + 2
2x - 2 + 2x + 2x + 2 = 2x + 2 + 50 Combine
6x = 52 + 2x Subtract 2x from both sides
6x-2x = 52 Combine
4x = 52 Divide both sides by 4
4x/4 = 52/4
x = 13
The three integers are
2x - 2 = 24
2x = 26
2x + 2 = 28
Evaluate the expression
6a - 2b when a = 5, b=7
Answers
[tex] = > 6a - 2b[/tex]
[tex] = > 6(5) - 2(7)[/tex]
[tex] = > 30 - 14[/tex]
[tex] = > 16[/tex]
The probability distribution function for the discrete random variable where x is equal to the number of red lights drivers typically run in a year is as follows. x 0 1 2 3 p(x) 0.76 0.15 0.05 (a) Fill in the missing probability. x 0 1 2 3 p(x) 0.76 0.15 0.05 (b) What is the mean of this discrete random variable
Answers
Using probability concepts, it is found that:
a) The missing value is 0.04.
b) The mean is of 0.37.
The distribution is given by:
[tex]P(X = 0) = 0.76[/tex]
[tex]P(X = 1) = 0.15[/tex]
[tex]P(X = 2) = 0.05[/tex]
[tex]P(X = 3) = x[/tex]
Item a:
The sum of all the probabilities has to be 1, that is:
[tex]\sum_{i = 0}^{3} P(X = i) = 1[/tex]
Thus:
[tex]0.76 + 0.15 + 0.05 + x = 1[/tex]
[tex]0.96 + x = 1[/tex]
[tex]x = 0.04[/tex]
The missing value is 0.04.
Item b:
The mean is given by the sum of each outcome multiplied by it's probability, thus:
[tex]E(X) = 0(0.76) + 1(0.15) + 2(0.05) + 3(0.04) = 0.37[/tex]
The mean is of 0.37.
A similar problem is given at https://brainly.com/question/20709747
PLEASE HELP!!!!!!!!!!!!!!!!!!!
What are the values of a, b and c for the following equation:
2x2 +9x = 18
Answers
B: 5
C: 7
Codification biggest ig fh fh u I ygrrhji so so do to to do fh
trong dân số một bà 70 tuổi có khả băng SLE là 2% .Nếu ANA dương tính thì khả năng bị bệnh SLE là bao nhiêu
Answers
Answer:
từ khoảng 70 đến 90 phần trăm
The grocery store is having a sale on frozen vegetables. 3 bags are being sold for $10.35. At this rate, what is the cost of 7 bags?
Answers
Answer:
24.15
Step-by-step explanation:
10.35 x 2 = 20.7 But you still need 1 bag 1/3 of 10.35 = 3.45 Add all of them up = 24.15
jun has two less more than three times as many books as harriet. if jun has 13 book how many books does harriet have plsss helpp
Answers
What is the value of y?
Y
Y
60
O A. 120°
B. 60°
C. 40°
O D. 30°
Answers
Answer:
B. 60°
Step-by-step explanation:
1. The measure of all angles in a triangle sum up to 180°. This means that y + y + 60 = 120.
2. (Solving)
Step 1: Simplify both sides of the equation.
[tex](y+y)+(60)=180[/tex] [tex]2y + 60 = 180[/tex]Step 2: Subtract 60 from both sides.
[tex]2y + 60 - 60 = 180 - 60[/tex] [tex]2y = 120[/tex]Step 3: Divide both sides by 2.
[tex]\frac{2y}{2}=\frac{120}{2}[/tex] [tex]y = 60[/tex]Step 4: Check if solution is correct.
[tex](60)+(60)+60 = 180[/tex] [tex]120 + 60 = 180[/tex] [tex]180 = 180[/tex]Therefore, the answer is B. 60°.
Here is a better picture!
Answers
Answer:
Part A: A) [tex]\frac{4y^{10}}{3w}[/tex]
Part B:
C) Quotient Rule of Powers (explained in Part A of this post).
D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).
Step-by-step explanation:
[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]
Part A:Use the Quotient Rule of Exponents:
[tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]
The 28 and 21 can be reduced by dividing both of them by 7. For the exponential expressions with the same base, you could subtract their exponents. I'll do each base separately so it doesn't get confusing.
[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]
Base y:[tex]y^{15-5}[/tex] = [tex]y^{10}[/tex] (in the numerator).
Base w:[tex]w^{4-3}[/tex] = w (in the denominator. The "w" in the numerator cancels out).
Base z:[tex]z^{7-7}[/tex] = [tex]z^{0} = 1[/tex] We used the Zero Exponent Rule here, were it states: [tex]a^{0} = 1[/tex]. (unnecessary to include in the final answer).
Altogether, you'll have:
Option A: [tex]\frac{4y^{10}}{3w}[/tex]
Part B:
C) Quotient Rule of Powers (explained in Part A of this post).
D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).
Find the domain and range for the function shown in the
graph given below.
Answers
Answer:
d{0 less than or equal to x less than or equal to 20, xer}
r{0 less than or equal to y less than or equal to -6,yer}
Step-by-step explanation:
The Domain and Range of the graph given is -
Domain ↔ [1, -6]
Range ↔ [- 21, 20]
We have a graph as shown in the figure.
We have to determine its domain and range.
What do you mean by domain and range of a function?For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.
According to question, we have -
From the graph it is clear that -
The values of y belong to the set - [1, -6]
and
The values of x belong to the set - [- 21, 20]
Therefore, according to the definition of domain and range -
Domain ↔ [1, -6]
Range ↔ [- 21, 20]
Hence, the Domain and Range of the graph given is -
Domain ↔ [1, -6]
Range ↔ [- 21, 20]
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(5x+4)-3x
Solve.
No scam.
Answers
Answer:
=2x+4
Step-by-step explanation:
Let's simplify step-by-step.
5x+4−3x
=5x+4+−3x
Combine Like Terms:
=5x+4+−3x
=(5x+−3x)+(4)
=2x+4
Answer:
2x+4
Step-by-step explanation:
Hope fully it is correct
How can you compare data sets?
Answers
Answer:
Grapgical charts and data plots
Step-by-step explanation:
Step-by-step explanation:
Hope it helps you!!