The state capitol building in Baton Rouge, Louisiana, is 450 feet tall. Ella’s scale model of the building uses the scale 25 feet = 10 inches. How tall is Ella’s model? 18 inches 180 inches 1,125 inches 425 inches

Answer:

7(8x+5) ≠48x+35 when x = 2.

That is; the two expressions are not equivalent when x = 2

Step-by-step explanation:

To solve this, we need to follow the steps below

We will substitute x = 2 in the first  expression and simplify, then we will now substitute x =2 in the other expression and simplify, at the end of the simplification, we will compare the two expression to see if they are equal.

First lets open up the bracket, that is; 7(8x + 5)=56x + 35

Now substitute x = 2 in 56x + 35

56 x + 35 = 56(2) + 35 = 112 + 35 = 147

56 x + 35 = 147   when x = 2

Next is to substitute x = 2 in 48x + 35

48(2) + 35 =96 + 35 =131

The value of 48x + 35 = 131   when x =2

147 ≠ 131

Therefore the two expressions are not equivalent when x = 2

Answer:

the answer would be A

Step-by-step explanation:

I hope  this is helpful

Answer: The expression that is quivalent to to 0.2n + 2n + 4 is

2.2n +4

Hope this helped! -mojo jojo x

The dimensions of the rooms in the blueprint will be Living room ([tex]5\times2[/tex]), Kitchen ([tex]4\times4[/tex]), Office ([tex]2\times4[/tex]), Bedroom ([tex]2\times4[/tex]), Bedroom ([tex]5\times5[/tex]), Bathroom ([tex]1.5\times2[/tex]).

Given information:

A house blueprint has a scale of 1 in : 4 ft.

The length and width of each room in the actual house are shown in the table below:

  Living room  Kitchen  Office  Bedroom  Bedroom     Bathroom

Length  20             16    8              8                      20                6

width 8             16    16              16              20                8

The scale factor is of 1 in: 4 ft. So, 4 ft of actual length is equivalent to 1 inch in the blueprint.

So, the length and width of the different rooms in te house in the blueprint will be,

  Living room  Kitchen  Office  Bedroom  Bedroom       Bathroom

Length(in) 5             4            2              2                      5                        1.5

width(in)   2             4            4              4                      5                          2

Therefore, the dimensions of the rooms in the blueprint will be Living room ([tex]5\times2[/tex]), Kitchen ([tex]4\times4[/tex]), Office ([tex]2\times4[/tex]), Bedroom ([tex]2\times4[/tex]), Bedroom ([tex]5\times5[/tex]), Bathroom ([tex]1.5\times2[/tex]).

For more details, refer to the link:

https://brainly.com/question/2305449

It is 20%. Is that helpful at all?

Answer:A and D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Edge 2021

The number 16 is 4/5 fractional part of 20.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Let the fraction part of 16 = x

So, We can formulate;

⇒ 16 = x × 20

⇒ x = 16 / 20

⇒ x = 4/5

Thus, The number 16 is 4/5 fractional part of 20.

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ2

Solution:

we are given that

In the image, shape ABCD is similar to shape WXYZ.

we have been asked to find the measure of side ZW.

As we know that when two shapes are similar then the ratios of their corresponding sides are equal.

So we can write

[tex] \frac{zw}{6}= \frac{18}{24}\\ \\ ZW=6*\frac{18}{24}\\ \\ ZW=\frac{18}{4}\\ \\ ZW=4.5\\ [/tex]

Hence ZW=4.5 Inches.

Answer:

4.5

Explanation:

Got it right on Imagine math.

Answer:

Dalai have 45 marbles.

Step-by-step explanation:

Consider the provided information.

Dalai bought a few swirl marbles and divided it equally among four of her friends and her brother, Jake. while playing, Jake lost two marbles and has only 7 marbles at present.

Let x is the number of marbles Dalai have.

She divide x number of marbles into 5 equal part (Four of friend and her brother)

That means each of them have [tex]\frac{x}{5}[/tex] marbles.

Jake lost two marbles out of [tex]\frac{x}{5}[/tex] and now he has only 7 marbles,

This can be represented as:

[tex]\frac{x}{5}-2=7[/tex]

Solve the equation for x.

[tex]\frac{x}{5}=7+2[/tex]

[tex]\frac{x}{5}=9[/tex]

[tex]x=45[/tex]

Hence, Dalai have 45 marbles.

Answer:

3.75p+8.50<=34.75

Step-by-step explanation:

No matter what, if you get at least 2 pair of flip flops you will be spending $8.50 plus 3.75 per pair on each additional pair . If she has $34.75 to spend and cannot go over, the inequality sign will be less than or equal to.  It is fine if she spends less than that and it's ok if she spends exactly that, but she cannot spend more than she has. 

The inequality then would be this:

3.75p+8.50<=34.75....

Answer:

3.75p + 8.50 ≤ 34.75

Step-by-step explanation:

.

Answer:

1/2

50%

Step-by-step explanation:

The following inequality are matched with their graphical solution;

6. 4y + 3 ≤ y + 6. graph C

7. -2y > 2. graph A

8. y/3 < -1. graph D

9. 3y < 2y + 3. graph B

6.

4y + 3 ≤ y + 6

Combine like terms

4y - y ≤ 6 - 3

3y ≤ 3

Divide both sides by 3

y ≤ 3/3

y ≤ 1

7.

-2y > 2

Divide both sides by -2

y < 2/-2

y < -1

8.

y/3 < -1

cross product

y < -1 × 3

y < -3

9.

3y < 2y + 3

Subtract 2y from both sides

3y - 2y < 3

y < 3

Read more on inequality graph:

https://brainly.com/question/24372553

#SPJ3

General Idea:

We need to apply the below formula to find the trend line from the given x and y values.

[tex] (1)\; mean:\; \bar{x}\;=\;\frac{\sum x_i}{n}, \; \;\bar{y}\;=\;\frac{\sum y_i}{n}\\ \\ (2) \;trend\; line: \; y=A+Bx, \;B=\frac{S_{xy}}{S_{xx}}, \;\;A=\bar{y}-B\bar{x}\\ \\ Where:\\ \\ S_{xx}=\frac{\sum x_i^2}{n}-\bar{x}^2\\ \\S_{xy}=\frac{\sum x_iy_i}{n}-\bar{x} \cdot \bar{y} [/tex]

Applying the concept:

In the graph given the trend line passes through two points (1, 8) and (7, 1).

We need to make use of the two point formula to find the equation of trend line

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

Substituting the points (1, 8) and (7, 1) in the above formula to find slope we get...

[tex] m = \frac{1-8}{7-1}=\frac{-7}{6} [/tex]

The point slope form of an equation which is used to write the equation of line when we know a point and slope is given below:

[tex] y-y_1=m(x-x_1) [/tex]

Substituting the values in the above formula we get ...

[tex] y-8=\frac{-7}{6}(x-1)\\Distributing \; -7/6\; in\; the\; right\; side\; of\; the\; equation \\ \\ y-8=\frac{-7}{6}x+\frac{7}{6}\\ Adding\; 8\; on\; both\; sides\\ \\ y-8+8=\frac{-7}{6} x+\frac{7}{6} +8\\ Combining \; like \; terms\\ \\ y=\frac{-7}{6}x+\frac{7}{6}+\frac{8 \cdot 6}{1 \cdot 6}\\ \\ y=\frac{-7}{6}x+\frac{7}{6}+\frac{48}{6}\\ \\ y=\frac{-7}{6} x+\frac{55}{6} [/tex]

Conclusion:

The equation best represents a trend line for the scatter plot is Option B.

B. y=−7/6x+55/6