A blueprint is a scale drawing of a building. The dimensions of the blueprint for Patricia doll house are 1/2 of the measurements of the actual doll house. The floor of the doll house has an area of 1,176 square inches. If the width of the doll house is 2/3 the length, what are the dimensions of the floor on the blueprint of the doll house? ___ inches by ___ inches

Answer:

the answer is b bc the line is positive

Step-by-step explanation:

The equation that best represents the line of best fit is -

y = (1/2)x - 1

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the line of best fit for the data in the scatterplot.

The line passes through the points -

(0, - 1) and (2, 0).

Then, the slope will be -

m = 1/2

and the [y] - intercept is -1. So the equation that best represents the line of best fit is -

y = (1/2)x - 1

Therefore, the equation that best represents the line of best fit is -

y = (1/2)x - 1

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Answer:

29%

Step-by-step explanation:

48%+23%= 71%

100%-71%=29%

Answer:

[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]

Step-by-step explanation:

[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]

Answer:

4021.2386 cm ^3

Step-by-step explanation:

V = πr2h = π·82·20 = 4021.2386 cm ^3

Answer:

is D

Step-by-step explanation:

because it's the answer

Answer:

o

Step-by-step explanation:

scale factor= 0..........

Answer:

The first step would be to add twelve to both sides

Step-by-step explanation:

Answer:

add 12 to both sides

Step-by-step explanation:

What we want to do, is to isolate the variable and the numbers on different sides.

if we divide 5x and -20 by 5, what about -12? It's part of the equation too.

If we add 20 to both sides, the numbers and the variable are on the same side, so we'll need to subtract it back off to isolate both.

If we multiply 12 by (what was there) it won't be isolating the variable or numbers. We'll just be increasing the value of the terms already there.

However, if we add 12 to both sides, we'll be isolating both the variable AND the numbers onto different sides.

therefore, add 12 to both sides.

Hope this helps!

Answer:

The correct answer is whole

Answer:

multiply the legth times width

Step-by-step explanation:

Answer: William will pay $ 330.76 more interest than Shani at the end of 3 years.

Step-by-step explanation:

Compound interest = [tex]P((1+r)^t-1)[/tex] , P= principal , r= rate of interest , t= time

Given: P = $5000 , t= 3 years

For Shani , r= 4% = 0.04

Compound interest = [tex]5000((1+0.04)^3-1)[/tex]

[tex]=5000(1.124864-1)\\\\=5000(0.124864)\\\\=\$\ 624.32[/tex]

For William, r= 6%= 0.06

Compound interest = [tex]5000((1+0.06)^3-1)[/tex]

[tex]=5000(1.191016-1)\\\\=5000(0.191016)\\\\=\$\ 955.08[/tex]

Difference = $ ( 955.08- 624.32)

= $ 330.76

Hence, William will pay $ 330.76 more interest than Shani at the end of 3 years.

Answer:

slope: 3/2, y-intercept: (0,1/2)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Answer: 7.2 $ will be needed to get 6 Euros.

Step-by-step explanation:

Given : 3$ could be exchanged for 2.5 euros

That means :

To get 2.5 euros , dollars needed are = 3$

By using Unitary method:

To get 1 euro , dollars needed are = [tex]\frac{3}{2.5}[/tex] $

To get 6 euros , dollars needed are =  [tex]\frac{3}{2.5}\times 6=7.2[/tex] $

Thus 7.2 $ will be needed to get 6 Euros.

Answer: I think C

Step-by-step explanation:

Answer:

[tex]5\ \text{ft}[/tex]

Step-by-step explanation:

Perimeter of rectangular lot = [tex]448\ \text{ft}[/tex]

The width of the easement is [tex]x\ \text{ft}[/tex]

Buildable area 140 ft by 64 ft

[tex]2(140+2x)+2(64+2x)=448\\\Rightarrow 140+2x+64+2x=\dfrac{448}{2}\\\Rightarrow 204+4x=224\\\Rightarrow x=\dfrac{224-204}{4}\\\Rightarrow x=5\ \text{ft}[/tex]

The width of the easement is [tex]5\ \text{ft}[/tex].

Answer:

40

Step-by-step explanation:

To solve this question you will need to use BEDMAS which is the order of which numbers you have to solve first. In this case you need to solve the brackets first, then the exponent, and then lastly the addition.

 3^3 + 3(4 + 1/3)

= 3^3 + 3(13/3)

= 27 + 3 x 13/3

= 27 + 13

= 40

Answer:

Step-by-step explanation:

The proportion relationship is:

Using the table we find the value of k:

For the value of x = 125, the value of y is:

Answer:

So the answer would be No Pablo's cell phone plan does not offer the same ratio of free to paid as Sam's because Pablo's cell phone plan provides free minutes which are basically equal to the paid minutes.

Step-by-step explanation:

Hope this helps and have a great day!!!

Answer:

the maximum hours that they can rent it for is 8

Step-by-step explanation:

36 + 8.8t < 106.4

8.8t < 70.4

t < 8

The area of the rectangle is 44 square inches larger than the area of the square.

The area of a rectangle is defined as the product of the length and width.

Let represents the original side length of the square "s", then the dimensions of the rectangle are (s+10) inches and (s-1) inches.

So the area of the rectangle is (s+10)(s-1) = s² + 9s - 10.

Since the area of the rectangle is given as 80 square inches, we can set up the equation:

s² + 9s - 10 = 80

Solving this equation for s, we find that s = 6. This means that the original side length of the square was 5 inches.

The area of the square is s² = 6² = 36 square inches. So the area of the rectangle is 80 square inches and the area of the square is 36 square inches.

Therefore, the area of the rectangle is 80 - 36 = 44 square inches larger than the area of the square.

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Answer:

18 albums

Step-by-step explanation:

2x+3x=45

5x=45

x=9

country=2(9) = 18 album

Answer:

$48

Step-by-step explanation:

Martin earns = $10 x [tex]\frac{24}{5}[/tex] = $10 x 4.8 = $48

Answer:

273 people.

Step-by-step explanation:

Given that,

Total number of people working on an office building = 1092

The building has 4 floors, and the same number of people work on each floor.

We need to find how many people work on each floor. Let there are n people in each floor.

n = Total number of people/Total number of floors

[tex]n=\dfrac{1092}{4}\\\\n=273[/tex]

So, there are 273 people working on each floor.

Answer:

[tex]P(x) = 3x - 10[/tex]

Step-by-step explanation:

Given

[tex]R(x) = 5x[/tex]

[tex]C(x) = 10 + 2x[/tex]

Required

Determine [tex]P(x) = (R - C)(x)[/tex]

In functions;

[tex](f - g)(x) = f(x) - g(x)[/tex]

So, we have:

[tex]P(x) = (R - C)(x)[/tex]

[tex]P(x) = R(x) - C(x)[/tex]

Substitute values for R(x) and C(x)

[tex]P(x) = 5x - (10 + 2x)[/tex]

Open bracket

[tex]P(x) = 5x - 10 - 2x[/tex]

Collect Like Terms

[tex]P(x) = 5x - 2x- 10[/tex]

[tex]P(x) = 3x - 10[/tex]

Answer:

22.91 inches

Step-by-step explanation:

circumference = 2πr

2πr = 72 inches

2 x [tex]\frac{22}{7}[/tex] x r = 72

[tex]\frac{44}{7}[/tex] x r = 72

Solving for r , divide both sides of the equation by 7/44

r = 11.454545 inches

diameter= 2 x radius

2 x 11.454545 inches = 22.91 inches

Answer:

X(4x+x^2)

Step-by-step explanation:

First the LCM is x

Now just distribute

Answer:

9%

Step-by-step explanation:

i don't know if its  right lmk

Answer:

is it just the slope of those points? if so -3/4

Step-by-step explanation:

i think. if not correct me

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

The slope of a line is given by:

[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, the slope of the line that passes through these points is:

[tex]m=\frac{-10-(-4)}{-12-(-20)}=\frac{-6}{8}=\fbox{$-\frac{3}{4}$}[/tex].

1

ok that ok dffhbgufuodwrebygfshdhrfgtbhjdufyhg t

Answer:

x = 4, y = 3

Step-by-step explanation:

Answer:

27 years old

Step-by-step explanation:

Let Alvin's age be x and Elga's age is y:

y - x = 15

x + y = 27

2y = 42 (use elimination method)

y = 21

x = 6 (plug it back into either equation)

Therefore Alvin is 6 and Elga is 27