The **difference **between the **areas **of the posters is **56 in²**.

There are different quadrilaterals, for example: square, rectangle, rhombus, trapezoid, and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, in a square, all angles are 90° and all sides present the same value.

The **area **of a **square **is given by: **A= a²**, where a=the **length of the sid**e.

A=(13 in)²

A= 169 in²

Area of square poster's LatriceA=(15 in)²

A= 225 in²

Therefore, the difference in square inches between the area of Latrice's poster and the area of Nura's poster is 225 - 169=56 in²

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which numbers are prime numbers

**Answer:**

1,3,5,7,17,23

**Step-by-step explanation:**

Prime numbers are numbers only divisible by themselves and 1. Most common examples are 2,3,5,7,9,11,13,17,19

Dilate a square with vertices $\left(0,\ 0\right)$(0, 0) , $\left(0,\ 4\right)$(0, 4) , $\left(4,\ 4\right)$(4, 4) , and $\left(4,\ 0\right)$(4, 0) using the scale factor $k=0.5$k=0.5 . What is the value of the ratio (new to original) of the perimeters? the areas?

The **ratio** (new to original) of the perimeters is equal to 1/2 or 0.5. Also, the **ratio** (new to original) of the areas is equal to 1/4 or 0.25.

In Mathematics, the **ratio** of the perimeters of two (2) geometric figures would be equal to the **scale factor** when the two (2) geometric figures are similar;

Mathematically, the **scale factor** of a geometric figure can be calculated by using this formula:

Scale factor, z = Dimension of image/Dimension of original figure = y/x

**Scale factor**, z = 1/2 or 0.5.

In Geometry, the **ratio** of the areas of two (2) geometric figures would be equal to the square of **scale factor** when the two (2) geometric figures are similar.

**Scale factor**, z = (y/x)²

Scale factor, z = (1/2)²

**Scale factor**, z = 1/4 or 0.25.

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Complete Question:

Dilate a square with vertices (0, 0). (0, 4). (4, 4), and (4, 0) using the scale factor k = 0.5. What is the value of the ratio (new to original) of the perimeters? the areas?

The ratio of the perimeters is

The ratio of the areas is

And why there two possible solutions to the equation, X over 2 = 100?

There are** two possible solutions **because a **power **is involved. This can be shown in the **graph**. When we **graph **to the power of 2, we get a **parabola**. This gives us **two x-intercepts**, giving us** two answers**.

*And why is this?* When you square a **negative **number, you get a **positive **number since a **negative **times a **negative **is a **positive**.

Example: 2 * 2 equals 4, and -2 * -2 also equals 4. This means both 2² and (-2)² are equal to 4.

This means that we will get a **positive **and **negative number value **that both **equal **the same thing when being **squared**, which is why you get** two possible** solutions to this **equation**.

As a part of a lesson on earthquakes a science class is researching the movement if a nearby fault line. the line moved 3/5 of an inch during the past year and 7/8 of an inch the year before. how far did the fault line move in all?

Good part clock I’ve

The theatre can seat 10,950 people.There are 90 rows of seats in the theater. If each row has the same number of seats, how many seats are in each row?

122

**Step-by-step explanation:**

u just say 10 950 dividied by 90 which is 121 recurring and then u say 121 plus 1 because it has a remainder

Using the slope formula, find the slope of the line through the given points.

(1,1) and (8,8)

Work Shown:

[tex](x_1,y_1) = (1,1) \text{ and } (x_2,y_2) = (8,8)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{8 - 1}{8 - 1}\\\\m = \frac{7}{7}\\\\m = 1\\\\[/tex]

Write the equation of the ellipse that has its center at the origin with focus at (0,4) and vertex (0,7).

**1) ** Notice that, in this case, the center is at (0,0) the focus at (0,4) and the Vertex is at (0,7)

**2) **Since the focus is at the y-axis, and the center is at the origin we can start from the following formula:

Solve: 2(7-4k) > 12 or 5 < 0.2(15k + 10)

The **solution **the **inequality expression **given as 2(7-4k) > 12 or 5 < 0.2(15k + 10) is 0.25 > k > -0.4

**Inequality expressions** are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

The **inequality expression **is given as

2(7-4k) > 12 or 5 < 0.2(15k + 10)

Open the brackets

So, we have

14 - 8k > 12 or 5 < 7.5k + 2

Collect the like terms

So, we have

- 8k > 12 - 14 or 5 - 2 < 7.5k

Evaluate the like terms

So, we have

- 8k > -2 or -3 < 7.5k

Divide both sides by the coefficient of k

So, we have

k < 0.25 or -0.4 < k

Rewrite as

0.25 > k or k > -0.4

Combine

0.25 > k > -0.4

Hence, the **solution **is 0.25 > k > -0.4

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y = x2 + 5x + 8 y = -x +3 Select the correct choice and fill in any answer boxes in your O A. The solution(s) is/are (Type an ordered pair. Use a comma to separate answe B. There is no solution.

To determine whether or not this system has a solution, we proceed as follows:

[tex]-x+3=x^2+5x+8\Rightarrow x^2+6x+5=0[/tex]Now, we use the quadratic function to solve, that is:

[tex]x=\frac{-(6)\pm\sqrt[]{6^2-4(1)(5)}}{2(1)}\Rightarrow\begin{cases}x=-1 \\ x=-5\end{cases}[/tex]From this, we have that the system has two solutions, we determine which replacing x in one of the functions, that is:

[tex]y_1=-(-1)+3\Rightarrow y_1=4[/tex]**One solution is the point (-1, 4).**

And, **another solution is the point (-5, 8).**

We can see each solution in the following graph:

Write the equation that is parallel to y = -3x + 7 and passes through the point (2, -1). Write your answer in slope intercept form.

y =

The** equation** that is **parallel **to y = -3x + 7 and passes through the point (2, -1) is y=-3x+5.

The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis.

y=mx+b

where m is the** slope of the line** and b is the y intercept.

The slope of the given equation,

y=-3x+7 is -3.

So, to write an equation **parallel** to the given equation and set of points, use point slope form and the slope of -3

y-y₁=m(x-x₁)

where (2,-1) are x₁, y₁

y-(-1)=-3(x-2)

y+1=-3(x-2)

**Multiply** with 3 on RHS side

y+1=-3x+6

We have to write in **slope intercept form**, so shift 1 to RHS.

y=-3x+6-1

y=-3x+5

As you can see, the** slope** of this line is -3

, which means that the two** equations** are parallel to each other.

Hence y=-3x+5 is the equation that is **parallel **to y = -3x + 7 and passes through the point (2, -1).

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The time it takes to read 20 pages of a book can be represented with the equation y = 12.4 over 20 x near the line. Where y represents the total time in minutes and x represents the number of pages read. Determine how long it will take to read a book that has 424 pages.

Answer choses

262.88 min

683.87 min

424.38 min

2,012.4 min

Please help me

Using the **equation** y = 12.4/20, the amount of time it would take to read a book that has 424 pages is: A. 262.88 min.

The **equation**, y = kx, represents a **proportional relationship** where the value of k is the unit rate of the relationship between the two variables, x and y.

In the scenario given:

x = number of pagesy = total time in minutesTheTo find how long it will take to read a book with 424 pages, substitute x = 424 into the **equation **y = 12.4/20x:

y = 12.4/20(424)

y = 262.88 minutes.

To read 424 pages, it will take: A. 262.88 min.

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The cost of the entrance tickets to the zoo for 2 adults and 3 children is $78.80. the cost of the entrance tickets for 1 adult and 1 child is $33.10 . what is the cost of the entrance ticket for a child

The **cost **of the entrance ticket for a child is $12.80.

Using **algebraic expression and equation**, we can express each statement and determine the cost of the entrance ticket for a child

Let x = **cost **of the entrance ticket for a child

y = cost of the entrance ticket for an adult

If the cost of the entrance tickets to the zoo for 2 adults and 3 children is $78.80, then we can express this as:

3x + 2y = $78.80 (equation 1)

If the cost of the entrance tickets for 1 adult and 1 child is $33.10, then we can express this as:

x + y = $33.10 ⇒ x = $33.10 - y (equation 2)

Substitute equation 2 to equation 1 and solve for y.

3x + 2y = $78.80 (equation 1)

3($33.10 - y) + 2y = $78.80

$99.30 - 3y + 2y = $78.80

3y - 2y = $99.10 - $78.80

y = $20.30

Substitute the value of y to equation 2 and solve for x.

x = $33.10 - y (equation 2)

x = $33.10 - $20.30

x = $12.80

cost of the entrance ticket for a child = $12.80

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Pleaseeee help me with this

The** solution **of **scalar multiplication **2A** **is Option(D).

[tex]2A = \left[\begin{array}{ccc}10&2&6\\12&8&4\\\end{array}\right][/tex]

What is scalar multiplication in matrices?AThe given matrix is:

[tex]A = \left[\begin{array}{ccc}5&1&3\\6&4&2\\\end{array}\right][/tex]

To do the scalar multiplication to determine 2A, just multiply a 2 on every entry in the matrix:

[tex]2A = \left[\begin{array}{ccc}2*5&2*1&2*3\\2*6&2*4&2*2\\\end{array}\right][/tex]

[tex]2A = \left[\begin{array}{ccc}10&2&6\\12&8&4\\\end{array}\right][/tex]

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How much greater is the average temperature on Earth than the average temperature on Jupiter?

The **average **temperature on Earth is **greater **than the average temperature on Jupiter by 225°F.

The average temperature on earth is **greater **than the average temperature in Jupiter by 225°F. This can be obtained by getting the average temperatures as follows:

The average temperature on Earth is = 59°F

The average temperature on Jupiter is = -166°F.

Now we represent this in an equation as follows:

-166°F + x = 59°F

x = 59 - (-166)

x = 59 + 166

x = 225°F.

So, the figure with which the **average **temperature of the earth surpasses the average **temperature **of Jupiter is 225°F.

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Which of the following are possible

side lengths for a triangle?

A. 18, 12, 6

B. 9, 15,4

C. 5, 18, 14

**Answer:**

C

**Step-by-step explanation:**

when u take the 2 shortest sides and add them up, they must be greater than the longest length.

How long would it take to drive 1km at a speed of 1.71km/h (with working)

It would take 0.58 hours to cover a **distance **of 1 kilometer.

The** speed** of a body is defined as the total distance covered by the body per unit time by taken by the body.

**S = D/t**

where,

S is the** speed **of the body,

D is the **distance **covered by the body and

t is the** time taken **by the body.

Here, in the provided situation,

The distance D to be covered is 1 kilometer.

The speed S at which the body moving is 1.7 km/h.

using** formula,**

S = D/t

1.7 = 1/t

t = 1/1.7

t = 0.58 hours.

Time taken by the body is 0.58 hours.

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identify the mapping diagram that represents the relation and determine whether the relation is a function {(-3,-6),(-1,-6),(5,-6),(8,-6)}

**Answer:**

hola amigos como estan me saludan

a process capability index has been calculated for a stable, non-automated process, then the operator is told to check samples at random and make centering adjustments to the process based on the sample readings. based on this information one would expect to find:

The **process capability index **gauges how much variance a process encounters in comparison to its specification parameters.

We might compare various procedures in terms of the ideal circumstance or whether they live up to our **expectations**. In the event that the process is not centered, the capability ratio formula is employed.

Process capability uses capability indices to compare an in-control process output to the specification's **upper and lower bounds.**

Calculated for steady, non-automated processes is the process capability index. The operator is then instructed to check samples at random and center the process.

The processing capability declined.

One would expect to find that the process capability has gotten worse.

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highest common factor of 350 and 150

**Answer: 50**

**Step-by-step explanation: Common factor of 150 and 350 = 1, 2, 5, 5. Highest common factor of 150 and 350 = 2 × 5 × 5 = 50.**

PLEASE help ( What's the slope of a line that passes through points C (1,3) and B (4,7)

**Answer:**

slope = [tex]\frac{4}{3}[/tex]

**Step-by-step explanation:**

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = C (1, 3 ) and (x₂, y₂ ) = B (4, 7 )

m = [tex]\frac{7-3}{4-1}[/tex] = [tex]\frac{4}{3}[/tex]

please help tomorrow is my exam please help

**Answer:**

30.2 meters

**Step-by-step explanation:**

The key is to realize that a 30 60 90 triangle can be constructed and the height of the house can be found from there. It may be helpful to draw a diagram.

I will use the diagram attached for reference to this solution.

Remember that the answer is asking for y, or the length of DE.

The angle CAB is 30 degrees, and the angle ACB is 90 degrees

The length of CB is 25 * sqrt3

Since ACB is a 30 60 90 triangle, and we know the length of one of the sides, the length of the other sides can be calculated.

CB is the shortest length, and so the middle length, AC, is sqrt(3) times longer than the length of the shortest length, CB

CB's length * sqrt 3 = AC's length = 25 * sqrt3 * sqrt3

AC = 75

length of A to F (I can't combine the letters a and f because then brainly thinks i'm swearing ) = 75 + x = 107

x = 32

Since length of BE = length of CF,

32 = BD + DE = 1.8 + y

y = 30.2 meters

if you have more questions please comment

Evaluate the expression if g=2, r=3, and t=11

The result of the** expression **3g × [tex](g+r)^2[/tex] - 1, when g = 2 , r = 3 , and t = 11 is 149

The given expression is

3g × [tex](g+r)^2[/tex] - 1

The expression is the mathematical a sentence with a minimum of two variables and at least one **math operation**, the math operation might be addition, subtraction, division, multiplication etc..

The value of g = 2

The value of r = 3

The value of t = 11

**Substitute the values** in the expression

= 3×2× [tex](2+3)^2[/tex] - 1

Do the **arithmetic operation **in bracket first

= 6×[tex]5^2[/tex] - 1

= 150 - 1

= 149

Hence, the result of the expression 3g × [tex](g+r)^2[/tex] - 1, when g = 2 , r = 3 , and t = 11 is 149

The complete question is :

Evaluate the expression 3g × [tex](g+r)^2[/tex] - 1, if g=2, r=3, and t=11

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a manufacturer can produce 2970 cell phones when x dollars is spent on labor and y dollars is spent on capital. the equation that relates x and y is 55 x 3 4 y 1 4

The **formula** in terms of x and y for dy/dx is -3y/x

The value of **dy/dx** at the point (81,16) is -0.5926

The question is incomplete, the full question is given below:

A manufacturer can produce 2970 cell phones when x dollars is spent on labor and y dollars is spent on capital. the equation that relates x and y is [tex]55x^{\frac{3}{4} } y^{\frac{1}{4} } =2970[/tex]

a. Find a formula in terms of x and y for [tex]\frac{dy}{dx}[/tex]

b. Find the value of dy/dx at the point (81,16). Round your answer to 4 decimal places

Part a

A formula in terms of x and y for [tex]\frac{dy}{dx}[/tex]

We **differentiate** equation that relates x and y with respect to x by implicit differentiation:

=[tex]\frac{d}{dx} (55x^{\frac{3}{4} } y^{\frac{1}{4} } )=\frac{d}{dx} (2970)[/tex]

=[tex]55(x^{\frac{3}{4} } \frac{d}{dx} (y^{\frac{1}{4} } )+y^{\frac{1}{4} } ((x^{\frac{3}{4} } ))=0[/tex]

=[tex]x^{\frac{3}{4} } y^{\frac{-3}{4} } \frac{dy}{dx} =3y^{\frac{1}{4} } x^{\frac{-1}{4} }[/tex]

= [tex]\frac{dy}{dx} =\frac{-3y^{0.5}x^{-0.5} }{x^{0.75}y^{-0.75} }[/tex]

[tex]=\frac{-3y}{x}[/tex]

=-3y/x

Part b

Value of dy/dx at **the point** (81,16)

dy/dx at (81,16), x=81, y=16

dy/dx=-3y/x

dy/dx=-3*16/81

dy/dx=-48/81

dy/dx=-16/27

=-0.5926

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find the value of the variable

**Answer:**

**Step-by-step explanation:**

Set 3y+53 equal to 7y-55

3y+53=7y-55 //subtract 3y

53=4y-55 //add 55

108=4y //divide by 4

y=27

Which equation represents a line that passes through the point (6,−3) and is parallel to the graph of y=3x+1? A y=3x−21 B y=3x+15 C y=−13x−1 D y=−13x+5

**Answer:**

Choice A

**Step-by-step explanation:**

The line we need to find has the same slope as the slope of the given line which is 3.

does anyone know what to put on these boxes

**Answer:**

You should ask your teacher what the heck that means!

**Step-by-step explanation:**

But still, -7+10=3

Lily solved the equation 3x − 10 = -3x + 8. The explanation of her process is shown. Select the text that shows an error in her process or justification of steps, if one exists. 1. I used the addition property of equality to achieve 6x − 10 = 8. 2. I used the addition property of equality to achieve 6x = 18. 3. I used the subtraction property of equality to achieve the solution of x = 3. There is no error in Lily’s process or justification of steps.

Answer: 3x - 10 = -3x + 8 Add 3x to both sides 6x - 10 = 8 Add 10 to both sides 6x = 18 Divide both sides by 6x = 3

Step-by-step explanation:

8. Stavros has 22 coins in his piggy bank, all dimes and quarters. Altogether, the

coins are worth more than $3.40. At least how many coins are quarters? At most,

how many of the coins are dimes?

Stavros has 9 **at** **least** quarters and 13 **at** **most** coins.

In mathematics, **inequalities** specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given Data

Stavros has 22 coins in his piggy bank, all dimes and quarters. Altogether, the coins are worth more than $3.40.

He only has quarters and dimes in his possession. For quarters and dimes, assign variables.

Let x = the **quantity** of dime

Let y = the quantity of quarters.

Create an inequality and **equation** to depict the scenario.

We can use an equation because he has exactly 22 coins.

x + y = 22

He has more than $3.40 in his total, thus we can apply an **inequality**.

0.10x + 0.25y > 3.40

To figure out how many of each coin he possesses, we apply the **substitution** approach. In order to express the inequality in terms of x, substitute the equation into the inequality.

0.10x + 0.25(22 - x) > 3.40

The inequality can now be resolved.

0.10x + 5.5 - 0.25x > 3.40

-0.15x + 5.5 > 3.40

-0.15x > -2.1

x > 14

In an equation where we divide by a **negative** coefficient, We reverse the sign in inequality.

x < 14

Stavros has a maximum of 13 dimes.

The value of x can then be substituted into the equation since an equation provides you the most precise and minimal value you can have.

y = 22 - 13

y = 9

Stavros has 9 quarters and 13 dimes.

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Jake got a part-time job to make some extra money. His goal was to make $150 per week. He was within $25 of his goal. If x represents Jake’s earnings, write an equation that represents the minimum and maximum that he could have earned.

**Answer:**

minimum: 125

Maximum: 175

**Step-by-step explanation:**

To do this, you know that Jake had a goal of getting $150 in the week. He was **within** $25 of reaching his goals. This means that he could have $25 less than or more than $150.

You can subtract 25 from 150 to get his minimum:

$150 - $25 = $125

And you can add 25 to get his maximum:

$150 + $25 = $175

You decide to go to a basketball game. The tickets cost $37 each and you paid for you and your cousin to get in.

How much did 2 basketball tickets cost?

Answer:

$74.00

Step-by-step explanation:

Two tickets at $37 apiece, we cal calculate a total by adding 37 + 37,

OR by multiplying

2×37

Either way, the total works out to be $74

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