Carlos was having a home built. The blueprints are shown below. The scale for the blueprints to the actual house is 2 inches to 7 feet.
Part A What is the actual width of the entire building
Part B What is the length of the entire building
Answers
Part A: 28 ft
Explanation: you have to change 8 in to ft using the scale 2 in to 7 ft.
Part B: 84 ft
Explanation: you have to change 24 in to ft using the scale
The actual width of the entire building is 28 feet and the length of the entire building is 84 feet.
Given that, the scale for the blueprints to the actual house is 2 inches to 7 feet.
What is the scale factor?The scale factor is defined as the number or the conversion factor which is used to change the size of a figure without changing its shape. It is used to increase or decrease the size of an object. The scale factor can be calculated if the dimensions of the original figure and the dimensions of the dilated (increased or decreased) figure are known.
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Now, width = 8 inches in feet is 4 × 7 =28 feet
Length = 14+10 =24 inches in feet is 12 × 7 = 84 feet
Therefore, the actual width of the entire building is 28 feet and the length of the entire building is 84 feet.
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Related Questions
4+2b=5+5(b+4)
Help pleasee
Answers
Answer:
4+2b=5+5b+20
<=> -3b=21
<=> b=-7
Step-by-step explanation:
<=> 4+2b=5+5b+5×4
<=> 4+2b=5+5b+20
<=> 2b-5b=5-4+20
<=> -3b=21
<=> b=-21/3
<=> b=-7
The scale of a map says that 8 cm represents 5 km.
What distance on the map (in centimeters) represents an actual distance of 8 kilometers?
____ centimeters
What is the actual number of kilometers that is represented by 5 centimeters on the map?
____ kilometers
Please help
Answers
Answer:
1) 12.8cm
2) 3.125km
Step-by-step explanation:
1) 8cm = 5km
1km= 8/5
1km = 1.6cm
8km = 8*1.6
8km = 12.8cm
2) 8cm = 5km
1cm = 5/8
5cm = (5*5)/8
5cm= 25/8
5cm= 3.125km
Answer:
1) 12.8cm
2) 3.125km
Restrict the domain of f(x)=x^2 to produce an inverse function?
Answers
Step-by-step explanation:
The range of the original is the domain of an inverse function, and the domain of an inverse function is the range of an original. Since the original equation/function f(x) = x^2 is a parabola with vertex at (0, 0) and opening downward.
I HOPE IT HELPS YOU
PLEASE MARK ME BRAINLIEST:)find all solutions for a triangle with a = 12 b=10 c=6
Answers
Answer:
60
Step-by-step explanation:
If u(x)= x^5-x^4+x^2 and v(x)= -x^2, which expression is equivalent to (u/v)(x)? Ox^3-x^2 O -x^3+x^2 O-x^3+x^2-1 Ox^3-x^2+1
Answers
Answer:
C. -x^3 + x^2 - 1Step-by-step explanation:
Given
u(x) = x^5 - x^4 + x^2 and v(x) = -x^2(u/v)(x) =
(x^5 - x^4 + x^2) /(- x^2) = - (x^3 - x^2 + 1) = -x^3 + x^2 - 1Correct option is C
could someone please help me & explain?
Answers
Answer:
No.
Step-by-step explanation:
Let's substitute the given coordinate pair into each inequality:
[tex]y > 2x+6\\-4 > 2(-5)+6\\-4 > -10+6\\-4 > -4\rightarrow\text{Not true!}[/tex]
Since this coordinate pair does not satisfy the inequality (note the coordinate pair must satisfy BOTH inequalities), therefore (-5, -4) is not a solution to this system of inequalities.
Simplify cos(arctan-1)
Answers
Answer:
Step-by-step explanation:
what is the total of 107+88+193?
Answers
Answer:
388. If you need any more help let me know. Also if you googled that you would have gotten the same answer.
Step-by-step explanation:
Answer:
the answer is 388
Step-by-step explanation:
107+88+193=388
Given f(x) = 3x-1 and g(x)=2x-3, for which value of x does g(x)=f(2)? Ox=3/2 Ox-2 Ox=5/2 Ox=4
Answers
====================================================
Work Shown:
First find f(2)
f(x) = 3x-1
f(2) = 3(2)-1 ... replace every x with 2
f(2) = 6-1
f(2) = 5
--------------
The equation g(x) = f(2) is the same as g(x) = 5 since f(2) = 5
g(x) = 2x-3
5 = 2x-3 .... replace g(x) with 5
2x-3 = 5
2x = 5+3 ... add 3 to both sides
2x = 8
x = 8/2 .... divide both sides by 2
x = 4
The value of x that satisfies the equation g(x) = f(2) is x = 4.
What is a function?A relation is a function if it has only One y-value for each x-value.
We are given two functions f(x) and g(x), and we need to find the value of x that satisfies g(x) = f(2).
We know that f(x) = 3x - 1, so f(2) = 3(2) - 1 = 5.
Therefore, we need to find the value of x that makes g(x) equal to 5.
Setting g(x) equal to 5, we get:
2x - 3 = 5
Add 3 to both sides.
2x = 8
Divide both sides by 2:
x = 4
Therefore, the value of x that satisfies the equation g(x) = f(2) is x = 4.
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Please help James correctly estimated this difference by rounding each number to the nearest whole.
38.85−2.32
What did James get for his estimate?
Answers
Answer:
James should have gotten 37 as his estimate
What distance on the map (in centimeters) represents an actual distance of 8 kilometers?
____ centimeters
What is the actual number of kilometers that is represented by 5 centimeters on the map?
____ kilometers
please please please help
Answers
Answer:
1. 800,000 cm
2. 0.00005 km
Step-by-step explanation:
1. 1 km = 100,000 cm
8 km = 800,000 cm
2. 1 cm = 1/100,000 km
5cm = 0.00005 km
Which property of equality should Wade use to solve the equation StartFraction x Over 6 EndFraction = 3? addition property of equality subtraction property of equality multiplication property of equality distributive property of equality
Answers
Answer:
(C) multiplication property of equality
Step-by-step explanation:
Answer: C. multiplication property of equality
Step-by-step explanation: On Edgenuity!!!!!!!!!!!!!!
area of the shape.
PLEASE
Answers
Which if the following elements contribute(s) to personal identity?
A. Physical identity
B. Active identity
C. Passive identity
D. Both a and b
Answers
The answer is D, both a and b.
What factors make up personal identity?
Identification is sincerely defined as the characteristics of figuring out who or what a person or component is. Factors or traits of identification might encompass race, ethnicity, gender, age, physical attributes, personality, political affiliations, spiritual beliefs, professional identities, and so forth.
What are private identity examples?Personal identity is ready the way you see yourself as “different” from the ones around you. Pastimes, education, pursuits, character developments, and so forth. preferred meals, the roles you maintain—“I am the oldest in my own family.” These are the matters that make you particular from different humans.
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Need help with this
What is the solution to the system of equations?
3x - 2y = 8
6x - 4y = 12
Use any algebraic method (substitution or elimination) to justify that the given system of equations has no solution.
What do you know about the two lines in this system of equations graphically?
Answer:
Answers
Answer:
[tex]\displaystyle Inconsistency\:[No\:Solution][/tex]
Step-by-step explanation:
We need to isolate one pair of variables so they are set to zero. Now, in this case, we need to split one of the equations in negative half, so we will select the second equation:
[tex]\displaystyle \left \{ {{3x - 2y = 8} \atop {6x - 4y = 12}} \right. \\ \\ \\ \left \{ {{3x - 2y = 8} \atop {-\frac{1}{2}[6x - 4y = 12]}} \right. \\ \\ \left \{ {{3x - 2y = 8} \atop {-3x + 2y = -6}} \right. \\ \\ \\ \boxed{0 \ne 2}[/tex]
The fact that we have a result like this proves that we cannot obtain a solution from this system, which means that on a graph, these equations are considered parallel [no intersection, so no solution].
I am joyous to assist you at any time.
Mrs. Rodger got a weekly raise of ₫145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Answers
Let the 1st paycheck be x (integer).
Mrs. Rodger got a weekly raise of ₫ 145.
So after completing the 1st week she will get ₫ (x+145).
Similarly after completing the 2nd week she will get ₫ (x + 145) + ₫ 145.
=[tex] ₫ (x + 145 + 145)[/tex]
= [tex]₫ (x + 290)[/tex]
So in this way end of every week her salary will increase by ₫ 145.
PLS HELP ITS DUE TODAY
Answers
Answer:
94
I don't really have much else to say but I need 20 characters so y'know :/
what is 2 1/4 converted into an improper fraction
Answers
Answer:
9/4
Step-by-step explanation:
goodluk
Answer:
9/4
Step-by-step explanation:
PLS PLS PLS HELP ME!!!
Answers
Answer:
38°
Step-by-step explanation:
Complimentary angles add up to 90°, so simply subtract 52 from 90 and you have your answer! ^^
x-9/3=28
Solve for x.
Answers
Answer:
x=31
Step-by-step explanation:
Ellie has been training for the Cedar Ridge Off-Road Race. The first week she trained, she ran 3 days and took the same two routes each day: 2. 5 miles on a path in the woods in the morning and a longer route at the park in the afternoon. By the end of the week, Ellie had run a total of 24 miles. Which equation can you use to find how many miles, x, Ellie ran each afternoon?
Answers
The distance that Ellie ran each afternoon is 5.5 miles for a whole week.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the distance that Ellie ran each afternoon, since she ran 24 miles, hence:
3(2.5 + x) = 24
7.5 + 3x = 24
x = 5.5 miles
The distance that Ellie ran each afternoon is 5.5 miles for a whole week.
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0.637 as a fraction in its simplest form
Answers
Answer:
637/1000
Step-by-step explanation:
Hopes this helps
An equation is shown below -5(2x-3)+2x = -10x+15
Find all the solutions if there are any for this equation
Answers
Answer:
-5(2x-3)+2x = -10x+15
-10x+15+2x= -10x+15
-12x+15 = -10x+15
-12x-(-10x):= -15+15
=2 ans
g(x) = x-2, find g(-3)
Answers
Answer:
-5
Step-by-step explanation:
Since you are given [tex]g(x)[/tex] and what x is equal to (in this case, -3), all you have to do is plug the x back into the original equation.
[tex]g(x) = -3 - 2 = -5[/tex]
PLEASE HELP!!!!!!!!!!!!!!!!!!!
Answers
Answer:
54
Step-by-step explanation:
Write f(x) = 2x2 – 44x 185 in vertex form. to write f(x) = 2x2 – 44x 185, factor out from the first two terms. next, form a perfect square trinomial keeping the value of the function equivalent: f(x) = 2(x2 – 22x 121) 185 – 242 the function written in vertex form is f(x) = (x – )2 .
Answers
The quadratic function given when converted to vertex form will be: [tex]f(x) = 2(x-11)^2 -57[/tex]
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y=a(x-h)^2 + k[/tex]
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.
For this case, the given quadratic function is:
[tex]f(x) =2x^2 -44x + 185\\[/tex]
Converting this to the vertex form, we get:
[tex]f(x) =2x^2 -44x + 185\\\\f(x) = 2(x^2 -22x) + 185\\f(x) = 2(x^2 -2 \times 11 \times x + 11^2 - 11^2) + 185\\f(x) = 2((x-11)^2 -121) + 185\\f(x) = 2(x-11)^2 -242 + 185\\f(x) = 2(x-11)^2 -57[/tex]
Thus, the quadratic function given when converted to vertex form will be: [tex]f(x) = 2(x-11)^2 -57[/tex]
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please help urgent!!
Answers
Answer:
The area of the rectangle is [tex]A=12b^6+6b^3-18b^2[/tex]
Step-by-step explanation:
Area of a rectangle
A rectangle of height H and width W has an area of:
[tex]A=H*W[/tex]
The rectangle shown in the figure has a height of:
[tex]H=3b^2[/tex]
And a width of
[tex]W=4b^4+2b-6[/tex]
The area is
[tex]A=(3b^2)(4b^4+2b-6)[/tex]
Operating:
[tex]A=(3b^2)*4b^4+(3b^2)*2b-(3b^2)6[/tex]
[tex]A=12b^6+6b^3-18b^2[/tex]
The area of the rectangle is [tex]A=12b^6+6b^3-18b^2[/tex]
if 3x + 28 = 46 what is the value of 2x + 6
Answers
Answer:
18
Step-by-step explanation:
3x + 28 = 46
Subtract 28 from each side
3x + 28 = 46
3x+28-28 = 46-28
3x=18
Divide each side by 3
3x/3 = 18/3
x = 6
Find 2x+6
2(6)+6
12+6
18
Hey there!
3x + 28 = 46
SUBTRACT 28 to BOTH SIDES
3x + 28 - 28 = 46 - 28
CANCEL out d 28 - 28 because it give you 0
KEEPs 46 - 28 because it help solve for the x-value.
NEW EQUATION: 3x = 46 - 28
SIMPLIFY IT!
3x = 18
DIVIDE 3 to BOTH SIDES
3x/3 = 18/3
CANCEL out: 3/3 because it give you 1
KEEP: 18/3 because it give you the x-value.
NEW EQUATION: x = 18/3
SIMPLIFY IT!
x = 6
Now that we have your x-value we can substitute it into the equation of: 2x + 6
SIMPLIFYING:
2x + 6
= 2(6) + 6
= 12 + 6
= 18
Thus, your answer is: 18
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
3. If m 4 = (3x - 7)º and m 8 = (5x – 23)º,
what is the value of x, m 8?
Answers
(3x - 7) = (5x - 23)
-2x = -16
x = 8
Value of m 8 = 17 degrees
5(8) - 23
40 - 23 = 17
It takes Kevin 15 minutes to drive 52 miles.
How many miles does Kevin drive per minute?
A
11
30
5
B
C 21
D 3
Answers
Answer:
C
Step-by-step explanation: