eso 2 Challenge At a party, the amount of people who ate lasagna was 12 less than of the total number of people. The number of people who ate lasagna w 3 number of people at the party. Let x represent the number of people at the party. Use pencil and paper. Write a one-step equation that has the same soluti Write an equation that represents the number of people at the party. 2/3 -X - 12 = 16 There were people at the party. Help me solve this View an example 1 H Get more help - √I Vi (4,1) More C​

The image vertices of D′ if the preimage is rotated 90° counterclockwise is: A. D′(−2, −4).

In Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).

By applying a rotation of 90° counterclockwise to the vertices for D, the coordinates of the vertices of the image point D' are as follows:

(x, y)                               →            (-y, x)

Ordered pair D  = (-4, 2) → Ordered pair D' = (-2, -4)

Read more on vertices here: brainly.com/question/24600877

#SPJ1

Answer: This is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Circumference = 2piR or piD

pi(3) = 9.42

Answer: 12/35 units sqr

Step-by-step explanation: Multiply both values to find area and put proper units.

Answer:

Step-by-step explanation:

The area of a rectangle is given by the formula: area = length x width.

For a rectangle with length 4/7 and width 3/5, the area can be calculated as follows:

area = 4/7 x 3/5

= 12/35

So, the area of the rectangle with length 4/7 and width 3/5 is 12/35 square units.

Length of AD is, 2.5 inches

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

Values are,

AB = 18 inches,

AE = 5 inches,

CE = 6 inches,

Let the length of ED = x

Now, By the figure,

⇒ ΔABD ≈ ΔECD

Hence, By definition of proportional we get;

⇒ AB / AD = EC / ED

⇒ AB / (AE + ED) = EC / ED

⇒ 18 / (5 + x) = 6 / x

⇒ 3x = 5 + x

⇒ 3x - x  =5

⇒ 2x = 5

⇒ x = 2.5 inches

Thus, Length of AD is, 2.5 inches

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ1

The square root expression with it's correct simplified radical can be matched as follow:

√45 =  3√5

√200 = 10√2

√80 = 4√5

√24 = 2√6

A simplified radical is a radical expression in which the radicand (the expression inside the square root symbol) has been simplified as much as possible. For example, the simplified form of √8 is 2√2.

√45 = √(9*5) = √9 * √5 = 3  * √5  =  3√5

√200 = √(100*2) = √100 * √2 = 10 * √2  =  10√2

√80 = √(16*5) = √16 * √5 = 4 * √5  =  4√5

√24 = √(4*6) = √4 * √6 = 2 * √6  =  2√6

Thus, match the square root expression with it's correct simplified radical accordingly.

Learn more about radical on:

https://brainly.com/question/19569383

#SPJ1    

Answer:

2826 sqft

Step-by-step explanation:

π r² = 900π =2826

The value of x in the figure is 15 degrees

The value of x in the figure is solved using the concept of sum of exterior angles in a polygon

The sum of exterior angles in a polygon is 360

7x + 83 + 33 + 6x + 49 = 360

collecting like terms

7x + 6x = 360 - 83 - 33 - 49

13x = 195

isolating x

x = 15 degrees

Learn more about polygons at:

https://brainly.com/question/26583264

#SPJ1

we add row 1 to row 3 to get the final matrix = [3, 0, 3; 1, 1, 1; 0, 0, 0]. Thus, the new matrix is obtained by applying the given row operations in the given order.

Let A be a given matrix.

Row Operation 1: Exchange row 1 and row 2.

Row Operation 2: Multiply row 1 by 3.

Row Operation 3: Add row 1 to row 3.

Then,

= [ 3, 0, 3; 1, 1, 1; 0, 0, 0 ]

We can obtain the matrix by applying the row operations in the given order. First, we exchange row 1 and row 2 to obtain the matrix [1, 1, 1; 3, 0, 3; 0, 0, 0]. Then we multiply row 1 by 3 to get [3, 0, 3; 1, 1, 1; 0, 0, 0]. Finally, we add row 1 to row 3 to get the final matrix = [3, 0, 3; 1, 1, 1; 0, 0, 0]. Thus, the new matrix is obtained by applying the given row operations in the given order.

The complete question is :

Suppose [tex]$\begin{bmatrix}4 & -2 & 3 \\2 & 3 & 1 \\5 & 1 & -2\end{bmatrix}$[/tex] is an matrix that can be obtained from [tex]$\begin{bmatrix}1 & 2 & 3 \\3 & 2 & 1 \\2 & 5 & -2\end{bmatrix}$[/tex]using the row operations (in the given order) [tex]$R_1 \leftrightarrow R_2, R_2 - 3R_1, R_3 - 5R_1$[/tex]

What is [tex]$\begin{bmatrix}1 & 2 & 3 \\3 & 2 & 1 \\2 & 5 & -2\end{bmatrix}$[/tex]?

Learn more about matrix here

https://brainly.com/question/28180105

#SPJ4

The number of boys chosen Spanish are 59.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

let Girls are G, Boys are B, Spanish choose S, French chosen F and German Chosen Ge.

Total = 200

Girls = 200 - 90 = 110

P(S) = 70 (B+ G)

P(F) = 60 (B)

P(B) + P(G) = 70

S + F = 92

So, 70- G + 44 - G = 92

114 - 2G = 92

-2G = -22

G = 11

So, number of Boys choose Spanish

= 70- 11

= 59

Learn more about Equation here:

https://brainly.com/question/29657988

#SPJ2

The sides and angle of the right triangle are as follows:

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the side of the triangle can be found using trigonometric ratios as follows:

Hence,

tan 5 = opposite / adjacent

tan 5 = 5 / b

b = 5 / tan 5

b = 57.1506949525

Hence,

b = 57.2 units

sin 5 = opposite / hypotenuse

sin 5 = 5 / c

c = 5 / sin 5

c = 57.3685943662

c = 57.4 units

B = 180 - 90 - 5

B = 85 degrees

learn more on triangle here: https://brainly.com/question/17307037

#SPJ1

Answer:

62

Step-by-step explanation:

you have to work out the surface area of a cuboid by:

3×2=6

5×3=15

5×2=10

sum of all the areas is 31

then times it by 2 which is 62

you don t really have to pay attention to the net, apart from the 2cm because you don t want to use it twice in the calculation.

Answer:

Step-by-step explanation:

You want the value of x that makes f(x) = 60, when f(x) is the exponential function with an initial value of 100 and a decay factor of 0.95.

The form of an exponential function is ...

  f(x) = (initial value) · (decay factor)^x

For the given initial value and decay factor, the function is ...

  f(x) = 100 (0.95^x)

Solving for x, we find ...

  f(x)/100 = 0.95^x

  log(f(x)/100) = x·log(0.95)

  x = log(f(x)/100)/log(0.95)

For f(x) = 60, the value of x is about ...

  x = log(60/100)/log(0.95) ≈ 9.959

The value of x is about 9.959.

Answer:Exact Form:

1/3

Decimal Form:

0.33333333333

Step-by-step explanation:

Answer:

1/3 or 0.333333333333333333333333333333333333

Step-by-step explanation:

1/5 / 3/5

Dividing can be done by multiplying the number by its reciprocal (flipped).

So, 3/5 has a reciprocal of 5/3

1/5*5/3 = 5/15

5/15 = 1/3 or 0.33333(repeated forever)

KLMN is a trapezoid where KL=MN and m∠1=m∠2 . It is also given that LM:KN = 8/9 and PKLMN=132.The midsegment is 34 units long.

The trapezoidal shape KLMN, where KL = MN.

m∠1=m∠2

Moreover, LM/KN = 8/9

Additionally, KLMN's perimeter is 132 units.

The midsegment's size (KM).

We can see that in the above case, KM is a transversal in relation to the parallel lines LM and KN. which implies,

∠KML=∠MKN

∠1=∠2

Two base angles are clearly equal. So, KLM and KMN are isosceles triangles.

Using the side ratios of two triangles as an example,

= KL: LM: MN: KN

= 8 : 8 : 8 : 9

The ratio units add out to 8 + 8 + 8 + 9 = 33. Consequently, each ratio's value is,

=[tex]\frac{perimeter}{33} \\\\\frac{132}{33} \\\\=4[/tex]

The segment LM's length is thus,

LM=8×4=32

Additionally, section KN's length is

KN=9×4=36

Taking the average of LM and KN as, one can then determine the length of the midsegment KM.

[tex]KM=\frac{LM+KN}{2} \\\\\\KM=\frac{32+36}{2}[/tex]

KE=34

As a result, the midsegment is 34 units long.

Here is more information about midsegment: brainly.com/question/29489027

#SPJ4

Answer:

40%

Step-by-step explanation:

If someone ate 3 out of 5 bagels, then there are 5 - 3 = 2 bagels left.

To find the percentage of the bagels that are left, you need to divide the number of bagels left by the total number of bagels and multiply by 100.

So, the percentage of the bagels that are left is (2 / 5) * 100 = 40%.

The graph of the system has been attached below. The solution has been obtained by using linear inequality.

What is linear inequality?

If the equals relation were used in its place, a linear inequality would produce a linear equation.

We are given two inequalities as x+y < 1 and 5x + y > 4

For plotting the points, we need to find x and y

1. x+y < 1

So, let y be 0, then

⇒x < 1

This gives us the point as (1,0).

Now, let x=0, then

⇒y < 1

This gives us the point as (0,1).

From these two points, the graph for the inequality is drawn and represented by red line.

2. 5x + y > 4

So, let y be -1, then

⇒5x > 5

⇒x > 1

This gives us the point as (1,-1).

Now, let x=0, then

⇒y > 4

This gives us the point as (0,4).

From these two points, the graph for the inequality is drawn and represented by green line.

Hence, the graph of the system of linear inequalities is obtained.

Learn more about linear inequality from the given link

https://brainly.com/question/11897796

#SPJ1

The description is that a unit increment in the number of sweatshirt will cause a $6.50 increment in the total charges

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Slope = 6.50

This means that a unit increment in the number of sweatshirt will cause a $6.50 increment in the total charges

Read more about linear function at

https://brainly.com/question/15602982

#SPJ1

Step-by-step explanation:

Seeing the question, I assume there are answer choices, but I'll give all possible answers below.

A ratio is pretty much a fraction, that's about it. It's asking the ratio of undergraduate to graduate, which creates

[tex] \frac{undergraduate}{graduate} [/tex]

Now we plug in those numbers in the correct spots

[tex] \frac{8500}{3500} [/tex]

Now to simplify. Since both of these numbers end in 0, there a little truck you can do to automatically make it smaller, and that's getting rid of all the 0s on the end. That makes it...

[tex] \frac{85}{35} [/tex]

To continue simplifying

[tex] \frac{8500}{3500} = \frac{85}{35} = \frac{17}{7} [/tex]

Answer:

EG/HJ=GF/JI or EG/HJ=FE/IH

Step-by-step explanation:

Given

AngleF=AngleI

AngleE=AngleH

Therefore triangles EGF AND HJI are similar by Angle-Angle Similarity Theorem

So

EG/HJ=GF/JI=FE/IH as they are the corresponding sides of a similar triangle

Using a trigonometric relation we will see that the value of x is 81.2°

We can see that we have a right triangle, and the angle x is the one that is on the top vertex.

We can use any trigonometric relation to find the value of x, for example we can use:

sin(x) = (opposite cathetus)/(hypotenuse)

Where we can see that:

opposite cathetus = 84

hypotenuse = 85

Then we will get:

sin(x) = 84/85

x = Asin(84/85) = 81.2°

Learn more about right triangles at:

https://brainly.com/question/2217700

#SPJ1

The option that is not a way by which minerals are being formed is decrystallization. That is option B

Minerals are organic substances that are form through the following ways;

Decrystallization is not a way through which minerals are formed because it is just the break down of solid or crystal structures.

Learn more about minerals here:

https://brainly.com/question/27737827

#SPJ1

Complete question:

Which of the following is not a method by which minerals form?. a. crystallization. b. decrystallization. c. water evaporation from a solution. d. cooling of magma or lava

The Given Series 1000+200+40+8+8/5 is Convergent.

If a series converges to a value as its terms approach to infinity, it is said to be convergent. If a series does not converge to a value but instead keeps on increasing or dropping as the terms of the series tend to infinity, it is said to be divergent.

Given:

The series is given as 1000+200+40+8+8/5

The common ratio is

200/1000

= 1/5

Then,40/200

= 1/5

= 0.2

Now, As the common ratio is < 1 so the series is convergent.

Learn more about Convergent and Divergent Series here:

https://brainly.com/question/30439621

#SPJ1

For the given height function h(t)= -16t²+88t the rocket is in the air for 5.5 seconds.

Height of the launched rocket is equal to :

h(t)= -16t²+88t

Time is represented by 't' in seconds after launch

'h' represents the height of the rocket.

For how long time rocket is in the air :

h(t) = 0

⇒  -16t²+88t = 0

⇒ t ( -16t+88 ) = 0

⇒ t = 0 or ( -16t+88 ) = 0

value of time 't' cannot be equal to zero.

This implies ( -16t+88 ) = 0

⇒16t = 88

⇒ t = 88 / 16

⇒ t = 5.5 seconds

Therefore, the time for which rocket is in the air as per given height function is equal to 5.5 seconds.

Learn more about height here

brainly.com/question/10726356

#SPJ4

Answer:

17.2%

Step-by-step explanation:

In the first hour:

The farmer sells 8% of the total chickens:

         [tex]= \frac{8}{100}[/tex]×[tex]250[/tex]

         = 20 chickens

Therefore, the number of chickens left are:

= (250 - 20) chickens

= 230 chickens

In the second hour:

The farmer sells 10% of the chickens left:

= [tex]\frac{10}{100}[/tex]×[tex]230[/tex]

= 23 chicken

∴ The total number of chickens sold in the two hours = (20 + 23) chickens

                                                                                      = 43 chickens

43 has to be expressed as a percentage of the original number (i.e. 250)

Percentage = [tex]\frac{Number Of Chickens Sold}{Total Number Of Chickens}[/tex]×[tex]100[/tex]%

                    = [tex]\frac{43}{250}[/tex]×[tex]100[/tex]%

                    = 17.2%

Samantha used 120 grams of 25% sugar syrup.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Samantha mixes some amount of 25% sugar syrup with x grams of 10% sugar syrup. The result is 120 grams of 15% sugar syrup.

Let Samantha used y grams of 25% sugar syrup.

Then, she used (120 - y) grams of 10% sugar syrup.

We know that the final concentration of sugar syrup is 15%, which means that 15% of the total 120 grams of the syrup is sugar.

This can be expressed as:

0.15 x (y + (120 - y)) = 0.15 x 120

Expanding and simplifying the equation, we get:

0.15y + 0.15 x 120 - 0.15y = 18

0.15 x 120 = 18

Solving for y, we get:

y = 120 x 18 / (0.15 x 120)

= 120 x 18 / 18

= 120.

Hence, Samantha used 120 grams of 25% sugar syrup.

Learn more about equations, click;

https://brainly.com/question/29657988

#SPJ1

Answer:

work hard you can get it

Step-by-step explanation:

lol

Answer:

40%

Step-by-step explanation:

32 out of 80 as a percentage it is 40%

Given that x, y, z are different and satisfy the equations:

x^3 + x^2 - x = 0

y^3 + y^2 - y = 0

z^3 + z^2 - z = 0

We can multiply the first equation by y, the second by z, and the third by x to obtain:

x^3y + x^2y - xy = 0

y^3z + y^2z - yz = 0

z^3x + z^2x - zx = 0

Adding these three equations together, we get:

x^3y + x^2y - xy + y^3z + y^2z - yz + z^3x + z^2x - zx = 0

Expanding and simplifying, we find that:

x^2y + xy^2 + y^2z + yz^2 + z^2x + zx^2 - xy - yz - zx = 0

Now, we use the fact that x, y, and z are roots of the equations given above to simplify the expression further:

x^2 - x + y^2 - y + z^2 - z = 0

We can also write this as:

(x - 1)(x + 1) + (y - 1)(y + 1) + (z - 1)(z + 1) = 0

This expression can be factorized as:

(x - 1)(x + 1)(y - 1)(y + 1)(z - 1)(z + 1) = 0

Since x, y, and z are all different, we have that:

(x - 1)(x + 1) ≠ 0

(y - 1)(y + 1) ≠ 0

(z - 1)(z + 1) ≠ 0

Therefore, we have:

(x - 1)(x + 1)(y - 1)(y + 1)(z - 1)(z + 1) = (x - 1)(x + 1)(y - 1)(y + 1)(z - 1)(z + 1) = 0

So, we can conclude that:

xyz = -1

And,

1 + xyz = 0

Learn more about Equation here brainly.com/question/1566730

#SPJ4

Answer:

$ 4564.32

Step-by-step explanation:

APR=2%, monthly interest rate, i=2%/12=0.02/12

Monthly payment, A=250

After 18 monnth, n=18 months,

the balance. Pis therefore

P = A((1+i)^n-1)/i

=250((1+0.02/12)^18-1)/(0.02/12)

=$ 4564.32