The length of a rectangle is three times its width.
If the perimeter of the rectangle is 56 yd, find its area.

Answer:

The rule of translation is [tex]A(x',y') = A(x,y) + (5,-3)[/tex].

The translated vector is [tex]A(x',y') = (9, 4)[/tex].

Step-by-step explanation:

Let supposed that translation to the right is in the +x direction and translation downwards in the -y direction.

We procced to translate the operation into mathematic terms. A translation consists in a vectorial sum on a given vector. That is:

[tex]A(x',y') = A(x,y) + U(x,y)[/tex] (Eq. 1)

Where:

[tex]A(x,y)[/tex] - Original vector, dimensionless.

[tex]U(x,y)[/tex] - Translation vector, dimensionless.

[tex]A(x',y')[/tex] - Translated vector, dimensionless.

If we know that [tex]U(x, y) = (5, -3)[/tex], then the rule of translation is described by:

[tex]A(x',y') = A(x,y) + (5,-3)[/tex] (Eq. 2)

If [tex]A(x, y) = (4,7)[/tex], then the new location of A is:

[tex]A(x',y') = (4,7)+(5,-3)[/tex]

[tex]A(x',y') = (9, 4)[/tex]

The translated vector is [tex]A(x',y') = (9, 4)[/tex].

Answer:

1) Thousands

2) 5

3) ten million

4) 3,000,000

Step-by-step explanation:

Answer:

1.  hundred thousands

2. 5

3. ten millions

4.  3,000,000

Step-by-step explanation:

Answer:

D. 30x + 120 ≤ 250

Step-by-step explanation:

Since we know that he bought one pair of shoes for $120 you would subtract 250-120=130 though you cant divide 130 into 30 so you would use ≤ so your answer is 30x + 120 ≤ 250

x= how many shirts he buys.

Answer:

16 1/2

Step-by-step explanation:

find the absolute value of both and add them, there's you answer

Answer:

re08uwahrewrai098nyryvrhheuaviufvsdsavad <<< Don't do this please

-16 1/2 units away

Answer:

29 units..

Step-by-step explanation:

well i don't know how to insert an image of the answer...but I did it...its (c): 29 units

Answer:

Ooooook?

Step-by-step explanation:

Fine

I don't understand what you are talking about, but I can list you the factor pairs of 16!

16=1,16; 2,8; 4,4

Thise are all the factor pairs

Answer:

1 x 16,

2 x 8

4 x 4

Factors of 16: 1, 2, 4, 8, 16

Answer:

sometimes true

Step-by-step explanation:

Answer:

It will take 6.4 minutes for Cedrick to type 1 full page of the report.

Step-by-step explanation:

1. First, we want to find out how long it takes Cedrick to type 1/8 of a page. If it takes him 4 minutes to write 5/8 of a page, we can do 5/8 divided by 5, which equals 1/8. We also have to divide 4 by 5 which equals 4/5. So, it takes Cedrick 4/5 of a minute to write 1/8 of a page.

2. We now want to find out how long it takes him to write one page, so we should multiply 1/8 and 4/5 by 8. 1/8 times 8 equals one, and 4/5 times 8 equals 32/5. That means that it takes 32/5 (in decimal form it is 6.4) minutes to write one page of the report.

Cedrick will type one whole page of the report in 6.4 minutes.

Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Cedrick is writing a report. It takes him 4 min to type 5/8 pages of the report.

In the beginning, we need to ascertain how long it takes Cedrick to type 1/8 of a page. We can do 5/8 divided by 5 to get 1/8 if it takes him 4 minutes to write 5/8 of a page.

Additionally, we must divide 4 by 5, which is 4/5. Cedrick, therefore, needs 4/5 of a minute to complete 1/8 of a page.

We need to multiply 1/8 and 4/5 by 8 to get how long it takes him to write one page. 8 divided by 1/8 = 1, while 8 multiplied by 4/5 equals 32/5.

This suggests that writing one page of the report requires 32/5 (6.4 in decimal form) minutes.

To know more about an expression follow

https://brainly.com/question/14145813

#SPJ2

(50×20) - (1×20)

Step-by-step explanation:

there is 50 twenties (20) so its 50 × 20 and 1 twenty is 20

Answer:

The answer would be 2.5 oz. of solution

Step-by-step explanation:

If you need 1:6,000 ratio and the pool you are cleaning is 15,000 then you divide 15,000 by 6,000 and you get what your ratio should be

Answer:

Unlikely, the probability is close to 0

Step-by-step explanation:

Given

[tex]Transmission = 15\%[/tex]

Required

Determine the likelihood

The given probability, 0.15 is close to 0. This implies that the event is unlikely.

From the list of given options, option C answers the question

Answer:

C. The population is all seniors at Riverview High; the sample is the 100 seniors surveyed.

Step-by-step explanation:

The Population in statistical terms refers to the objects, people, organisms, etc that a researcher wishes to study. Usually, the population is so large that it might be difficult for the researcher to study all of them. To solve this problem, a sample is thus obtained from the population in such a way that participants have an equal chance of being chosen for the study. The result gotten from this sample can then be generalized to the entire population.

In the example provided, all the seniors at Riverview High are the population under study. The 100 seniors chosen from this population are the sample.

The population in this setting is all seniors at Riverview High and the sample is the 100 seniors surveyed.

A population is the party of interest in an experiment. It is from a population the sample is derived. A population consists of all the members of the group.

A sample is a smaller group of the population. A sample is sometimes necessary because it might not be feasible or cost effective to access the whole population.

To learn more about population, please check: https://brainly.com/question/12982972

Answer:

What is 28/8 as a decimal you ask? Converting the fraction 28/8 into a decimal is very easy.

To get 28/8 converted to decimal, you simply divide 28 by 8. Don't worry. You don't need to get the calculator out, because we did this for you.

28/8 as a decimal is:

3.5

Answer:

y=4/3y -9

Step-by-step explanation:

just divide both sides of the equation by 3

Answer:

61.25

Step-by-step explanation:

48 goes into 2940 that many times.

Hope this helped :)

Answer:

61.25

Step-by-step explanation:

2,940 / 48 = 61.25

Hope this helps.

Answer:

The proportion can be used to show that the slope of JL is equal to the slope of MP is  [tex]\frac{0-4}{-4-(-7)}[/tex] =  [tex]\frac{-4-8}{-1-(-10)}[/tex]  ⇒ G

Step-by-step explanation:

The rule of the slope of a line is [tex]m=\frac{y2-y1}{x2-x1}[/tex] , where (x1, y1) and (x2, y2) are two points on the line

∵ The coordinates of the point J are (-7, 4)

∵ The coordinates of the point L are (-4, 0)

∴ x1 = -7 and y1 = 4

∴ x2 = -4 and y2 = 0

→ Substitute them in the rule above to find the slope of LJ

∴ [tex]m_{JL}=\frac{0-4}{-4-(-7)}[/tex]

∵ The coordinates of the point M are (-10, 8)

∵ The coordinates of the point P are (-1, -4)

∴ x1 = -10 and y1 = 8

∴ x2 = -1 and y2 = -4

→ Substitute them in the rule above to find the slope of MP

∴ [tex]m_{MP}=\frac{-4-8}{-1-(-10)}[/tex]

∵ The slope of JL = the slope of MP

∴  [tex]\frac{0-4}{-4-(-7)}[/tex] =  [tex]\frac{-4-8}{-1-(-10)}[/tex]

The proportion can be used to show that the slope of JL is equal to the slope of MP is  [tex]\frac{0-4}{-4-(-7)}[/tex] =  [tex]\frac{-4-8}{-1-(-10)}[/tex]

Answer:

9.1

Step-by-step explanation:

I think this because it is 9 boxes away from the other points, plus it sloped a bit...

Answer:

9.1

Step-by-step explanation:

Distance=[tex]\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2} }[/tex]

=[tex]\sqrt{(4-3)^{2} +(-5-4)^{2} }[/tex]

=[tex]\sqrt{(1)^{2}+(-9)^{2} }[/tex]

=[tex]\sqrt{1+81}[/tex]

=[tex]\sqrt{82}[/tex]

≈9.1

Answer:

Multiply/divide both sides by the same non-zero constant

Step-by-step explanation:

5x = 20

Divide each side by 5

5x/5 = 20/5

x = 4

Answer:

( c + a + s) = 5000

(10c + 20a + 15s) = 72000

c = 3s

Step-by-step explanation:

Number of tickets sold = 5000

Proceeds from ticket Sale = $72,000

Tickets for children 16 and younger = $10

Adults = $20

seniors 60 and older = $15

Let :

number of children, c ;

adults, a;

seniors, s,

There were 3 times more children than seniors at the concert ; c = 3s

Total number of attendees = 5000 ;

( c + a + s) = 5000

Total proceeds or revenue

(10c + 20a + 15s) = 72000

9514 1404 393

Answer:

  $375

Step-by-step explanation:

The interest formula for simple interest is ...

  I = Prt . . . . on amount P, at annual rate r for t years.

Here, t = 3/12 = 1/4, r = 0.10, P = $15,000, so the interest is ...

  I = $15,000·0.10·0.25 = $375

The simple interest is $375.

Answer:

The first one is C the second and third are correct.

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

Step-by-step explanation:

Question:

Prove the following statement directly from the definitions.

The difference of any two rational numbers is a rational number.

Answer, see attachment for proof.

Answer:

( 2,0)

Step-by-step explanation:

The line crosses the Y intercept at the coordinates at (2,0)

Answer:

the y-intercept of the graph is 2

the ordered pair is (0,2)

Step-by-step explanation:

The y-intercept is the point where the line crosses the "y" line. Ordered pair are written (x,y)  (the x is always in the front)

So, if we look at the "y" line we can see they y point is a 2, and if we look at line "x", the 2 is "above" the point 0 on the line labeled x.

Answer:

<

Step-by-step explanation:

6.53 < 6.534

The answer is B

Hope this helps! i just learned this today lol

- 3 x₂ + 7 x₃ = 3

x₁ + 2 x₂ - x₃ = 0

5 x₁ - 2 x₂ = 3

(a) I suppose this is asking for the determinant of the coefficient matrix.

[tex]\begin{vmatrix}0&-3&7\\1&2&-1\\5&-2&0\end{vmatrix}[/tex]

Using a cofactor expansion along the first row, this reduces to

[tex]0\begin{vmatrix}2&-1\\-2&0\end{vmatrix}-(-3)\begin{vmatrix}1&-1\\5&0\end{vmatrix}+7\begin{vmatrix}1&2\\5&-2\end{vmatrix}= 3(0 - (-5))+7(-2-10)=\boxed{-69}[/tex]

(b) Using Cramer's rule, we have

[tex]x_1=\dfrac{\begin{vmatrix}\mathbf 3&-3&7\\\mathbf 0&2&-1\\\mathbf 3&-2&0\end{vmatrix}}{\begin{vmatrix}0&-3&7\\1&2&-1\\5&-2&0\end{vmatrix}}[/tex]

[tex]x_2=\dfrac{\begin{vmatrix}0&\mathbf 3&7\\1&\mathbf 0&-1\\5&\mathbf 3&0\end{vmatrix}}{\begin{vmatrix}0&-3&7\\1&2&-1\\5&-2&0\end{vmatrix}}[/tex]

[tex]x_3=\dfrac{\begin{vmatrix}0&-3&\mathbf 3\\1&2&\mathbf 0\\5&-2&\mathbf 3\end{vmatrix}}{\begin{vmatrix}0&-3&7\\1&2&-1\\5&-2&0\end{vmatrix}}[/tex]

That is, solving for n-th variable consists of dividing [the determinant of the coefficient matrix with its n-th column replaced with the right side of the system, the numbers in boldface,] by [the determinant of the coefficient matrix].

Compute each determinant:

[tex]\begin{vmatrix}\mathbf 3&-3&7\\\mathbf 0&2&-1\\\mathbf 3&-2&0\end{vmatrix}=3\begin{vmatrix}2&-1\\-2&0\end{vmatrix}+3\begin{vmatrix}-3&7\\2&-1\end{vmatrix}=3(0-2)+3(3-14)=-39[/tex]

(expanding along the first column)

[tex]\begin{vmatrix}0&\mathbf 3&7\\1&\mathbf 0&-1\\5&\mathbf 3&0\end{vmatrix}=-1\begin{vmatrix}3&7\\3&0\end{vmatrix}+5\begin{vmatrix}3&7\\0&-1\end{vmatrix}=-1(0-21)+5(-3-0)=6[/tex]

(again, along the first column)

[tex]\begin{vmatrix}0&-3&\mathbf 3\\1&2&\mathbf 0\\5&-2&\mathbf 3\end{vmatrix}=-1\begin{vmatrix}-3&3\\-2&3\end{vmatrix}+5\begin{vmatrix}-3&3\\2&0\end{vmatrix}=-1(-9-(-6))+5(0-6)=-27[/tex]

(first column)

So, we get the solution

[tex]x_1=\dfrac{-39}{-69}=\boxed{\dfrac{13}{23}},x_2=\dfrac6{-69}=\boxed{-\dfrac2{23}},x_3=\dfrac{-27}{-69}=\boxed{\dfrac9{23}}[/tex]

(c) Using elimination:

- 3 x₂ + 7 x₃ = 3

x₁ + 2 x₂ - x₃ = 0

5 x₁ - 2 x₂ = 3

Swap the first two equations:

x₁ + 2 x₂ - x₃ = 0

- 3 x₂ + 7 x₃ = 3

5 x₁ - 2 x₂ = 3

Add -5(equation 1) to equation 3:

x₁ + 2 x₂ - x₃ = 0

- 3 x₂ + 7 x₃ = 3

- 12 x₂ + 5 x₃ = 3

Add -4(equation 2) to equation 3:

x₁ + 2 x₂ - x₃ = 0

- 3 x₂ + 7 x₃ = 3

- 23 x₃ = -9

Multiply through equation 3 by -1/23:

x₁ + 2 x₂ - x₃ = 0

- 3 x₂ + 7 x₃ = 3

x₃ = 9/23

Add -7(equation 3) to equation 2:

x₁ + 2 x₂ - x₃ = 0

- 3 x₂ = 6/23

x₃ = 9/23

Multiply through equation 2 by -1/3:

x₁ + 2 x₂ - x₃ = 0

x₂ = -2/23

x₃ = 9/23

Add -2(equation 2) and equation 3 to equation 1:

x₁ = 13/23

x₂ = -2/23

x₃ = 9/23

Answer:

x=22

Step-by-step explanation:

180-77=103

103+55=158

180-158=22

x=22