The Johnsons need to put up a fence, as shown in the picture. They have already measured two of the sides. Find the length of the missing side of the farmyard (round to two decimal places). A) 17.00 feet B) 27.00 feet C) 32.15 feet D) 46.77 feet

Answer:

Step-by-step explanation:

40%

The formula is

Old-new/old *100

115-69/115*100

The percentage decrease is 40% if the price of an item yesterday was 115. Today the price fell to 69.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

The price of an item yesterday was 115. Today the price fell to 69.

The difference in price = 115 - 69 = 46

Percentage decrease = (46/115)×100 = 40%

Thus, the percentage decrease is 40% if the price of an item yesterday was 115. Today the price fell to 69.

Learn more about the percentage here:

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Answer:

U were 20% off

Ure estimate was 80%

Step-by-step explanation:

16/20 is 80%

100%-80% is 20%

Answer:

f ( 4 ) = 18

Step-by-step explanation:

Explanation:

f ( x ) = 5 x − 2

Replace  4  instead of  x  to find  f ( 4 )

f ( 4 ) = 5 ( 4 ) − 2 = 20 − 2 = 18

The value of f(-4) for the function f(x) = x^2 - 5x + 2 is 38.

To find the value of f(-4) for the function f(x) = x^2 - 5x + 2, you substitute -4 for x in the function.

It looks like this:

f(-4) = (-4)^2 - 5(-4) + 2

First, you square -4, which is (-4)^2 = 16.

Then, you calculate -5 times -4, which is 20.

Finally, you add 2 to the result.

So, f(-4) is equal to:

f(-4) = 16 - 20 + 2 = 38

The final answer is 38.

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To evaluate the expression 24/b+8 for b=9, substitute 9 for b to get 24/9 + 8, which simplifies to approximately 10.67.

To evaluate the expression 24/b+8 when b=9, we substitute the value of b into the expression and perform the arithmetic operation.

First, we replace b with 9:

24/9 + 8

Then, we divide 24 by 9:

2.666... + 8

Next, we add 8 to the quotient:

2.666... + 8 = 10.666...

The result of evaluating the expression 24/b+8 for b=9 is approximately 10.67.

Answer:

The best answer is 12.4 units.

Step-by-step explanation:

This is because, when I totaled all of the side lengths, I got an estimated result of 12 units. 12.4 is the next closest answer, so your answer is 12.4

I hope this helps!

- sincerelynini

Step-by-step explanation:

To get the right answer always you can use the save route: Pythagoras' theorem.

[tex] \sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} } [/tex]

Answer:

(3f - 2)²

Step-by-step explanation:

Given

9f² - 12f + 4

Consider the factors of the product of the coefficient of the f² term and the constant term which sum to give the coefficient of the f- term.

product = 9 × 4 = 36 and sum = - 12

The factors are - 6 and - 6

Use these factors to split the f- term

9f² - 6t - 6t + 4 ( factor the first/second and third/fourth terms )

= 3f(3f - 2) - 2(3f - 2) ← factor out (3f - 2) from each term

= (3f - 2)(3f - 2)

= (3f - 2)²

Answer:

9f² - 12f + 4 = (3f - 2)²

Step-by-step explanation:

9f²-12f+4 =

= (3f)²-2×(3f)×(2)+2²

= (3f-2)²

to know if something is linear when you graph it it is always going to be in a straight line. if it isn't then it is not linear

Answer:

D

Step-by-step explanation:

i got it right on E2020

The ordered pair (-3, 1) is not a solution to system because it makes at least one of the equations false

Solution:

Given system of equations are:

x - 4y = 6 ------- eqn 1

3x + y = -8 ------------ eqn 2

Given ordered pair is (-3, 1)

We have to check if the options are true

Let us substitute (x, y) = (-3, 1) in eqn 1

[tex]-3 - 4(1) = 6\\\\-3 - 4 = 6\\\\-7\neq 6[/tex]

Thus the given ordered pair (-3, 1) did not satisfy the first equation

Substitute (x, y) = (-3, 1) in eqn 2

[tex]3(-3) + 1 = -8\\\\-9 + 1 = -8\\\\-8 = -8[/tex]

Thus the given ordered pair (-3, 1) satisfied the second equation

But for a ordered pair to be a solution to system of equations, it must satisfy both the equations

Thus the ordered pair (-3, 1) is not a solution to system because it makes at least one of the equations false

Answer: D. -40x^3 + 25x^2 + 45x

Step-by-step explanation:

-5x(8x^2 - 5x - 9)

-40x^3 + 25x^2 + 45x

Answer:

The vaues to the given equations are x=-2 and y=-4

Therefore the solution set is (-2,-4)

Step-by-step explanation:

Given equations are [tex]3x+3y=-18\hfill (1)[/tex]

[tex]-2x+2y=-4\hfill (2)[/tex]

To solve the given equation to find the solution set :

Multiply the equation (1) into 2 we get

[tex]6x+6y=-36\hfill (3)[/tex]

Multiply the equation (2) into 3 we get

[tex]-6x+6y=-12\hfill (4)[/tex]

Now adding the equations (3) and (4) we get

[tex]6x+6y=-36[/tex]

[tex]-6x+6y=-12[/tex]

________________

[tex]12y=-48[/tex]

[tex]y=\frac{-48}{12}[/tex]

Therefore y=-4

Substitute the value of y=-4 in the equation (1) we get

[tex]3x+3y=-18[/tex]

[tex]3x+3(-4)=-18[/tex]

3x-12=-18

3x-12+12=-18+12

3x=-6

[tex]x=\frac{-6}{3}[/tex]

Therefore x=-2

The vaues to the given equations are x=-2 and y=-4

Therefore the solution set is (-2,-4)

Answer:

x=1, y=-1. (1, -1).

Step-by-step explanation:

y=-2x+1

y=x-2

------------

-2x+1=x-2

-2x-x=-2-1

-3x=-3

3x=3

x=3/3

x=1

y=1-2=-1

On a recent day, 8 euros were worth $9 and 24 euros were worth $27. Write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars.

y = 1.125x is the equation to show the relationship between the number of euros and the value in dollars.

Given that On a recent day 8 euros were worth 9 dollars and 24 euros were worth 24 dollars

Let "y" be the value in dollars

Let "x" be the number of euros

We have to write a equation in form of y = kx

8 euros were worth 9 dollars

"k" is found as follows:

[tex]k = \frac{\text{value in dollars}}{\text{number of dollars}}[/tex]

[tex]k = \frac{9}{8}[/tex]

Therefore, equation of y = kx is given as:

[tex]y = \frac{9}{8}x[/tex]

[tex]y = 1.125x[/tex]

To check the equation, use the another given value

24 euros were worth $27

[tex]y = 1.125 \times 24\\\\y = 27[/tex]

Hence the equation y = 1.125x is correct    

Answer:

The answer is NOT D, because clearly the angle measurements are not EQUAL. So cross that off. My best guess would be A, acute triangle. Usually for that the two angles are shown as the same and the top angle is usually smaller. That's just from picturing it in the head.

Step-by-step explanation:

Can I have brainliest

Answer: The Answer is acute triangle

Answer:

O B. y = -2x+6

Step-by-step explanation:

Answer:

12x^2 + 30x + 12

Step-by-step explanation:

Expand the equation using FOIL (First Outside Inside Last)

Hope this helps! :]

The ratio is 12:30 or if broken down 2:5

but the answer is 12 to 30 or 12:30

Answer:

The answer is D.

Step-by-step explanation:

There are 30 campers total. The ratio as a fraction is 18/30. If you reduce this, you get 3/5, or 3:5.

The series in sigma notation is:  representing terms increasing by 4 starting from -5.

To represent the series in sigma notation, let's first examine the pattern of the terms.

The given series starts with -5 and each subsequent term increases by 4. We can express this pattern using the formula:

[tex]\[ a_n = -5 + (n - 1) \times 4 \][/tex]

Here, [tex]\( a_n \) represents the \( n \)th term of the series[/tex].

Now, let's break down the components of the formula:

-[tex]\( -5 \) is the initial term of the series.- \( (n - 1) \) accounts for the position of each term in the series. When \( n = 1 \), \( (n - 1) = 0 \), so the first term is \( -5 \). As \( n \) increases, \( (n - 1) \) increases by 1, causing the series to increase by 4 each time.- \( 4 \) is the common difference between consecutive terms in the series.[/tex]

Next, we represent the series using sigma notation:

[tex]\[ \sum_{n=1}^{5} (-5 + (n-1) \times 4) \][/tex]

This notation indicates that we sum up the expression [tex]\( -5 + (n-1) \times 4 \) for \( n \)[/tex] ranging from 1 to 5, which covers all the terms of the given series.

In summary, the series is represented in sigma notation as described above, capturing the pattern of increasing terms starting from -5.

The relationship between the distance traveled by a car and the amount of gas in the car is inverse. As the distance increases, the gas decreases

The relationship between the distance traveled by a car and the amount of gas in the car is inverse. This means that as one quantity increases, the other decreases. In this case, as the distance traveled by a car increases, the amount of gas in the car decreases, because the car uses gas to move. In other words, the more you drive, the less gas you have left in your car.

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Answer:

(4 ,0) is a solution

Step-by-step explanation:

7(4) - 5(0) = 28 - 0 = 28

Step-by-step explanation:

there are more answers.. i get.two answers

x=9:y=7 and x=4;y=0

The ball that reached the highest is Mario's because his reached past 10 whereas Jasmine's was 7.8. The ball that went the farthest is Jasmine's.

Answer:

3rd one

Step-by-step explanation:

Answer: B) Tutored Alexander The Great

Step-by-step explanation: k12 test 1.12, :)

Answer:

Problem Recognition Stage (the first stage)

Explanation:

The "Consumer Buying Decision Process" consists of 5 stages. These are: Problem Recognition, Information Search, Evaluation of Alternatives, Purchase Decision and Post-Purchase Evaluation. This information is commonly used by marketing businesses in order to know the habit or behavior of people upon buying goods and services.

Olivia's situation above is in the "Problem Recognition" stage. This is the first stage of the process. She realizes that she needs the winter boots because of the cool weather and thus, she realizes that she has a need or a problem that she wanted to solve. Buyers recognize this problem as a gap in their needs, thus they want to fill it immediately once they recognize it. This will be followed by "Information Search," a time whereby she'll consider some options in buying boots.

Thus, this explains the answer.

Step-by-step explanation:

The point-slope form of an equation of a line:

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

m - slope

(x₁, y₁) - point on a line

The formula of a slope:

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

We have the points (9, -2) and (4, 2).

Substitute:

[tex]m=\dfrac{2-(-2)}{4-9}=\dfrac{2+2}{-5}=-\dfrac{4}{5}[/tex]

Put the value of a slope and coordinates of first or second point to the equation of a line:

[tex](9,\ -2),\ m=-\dfrac{4}{5}\\\\y-(-2)=-\dfrac{4}{5}(x-9)\\\\\boxed{y+2=-\dfrac{4}{5}(x-9)}\\\\(4,\ 2),\ m=-\dfrac{4}{5}\\\\y-2=-\dfrac{4}{5}(x-4)}[/tex]

Answer:  8 miles

Step-by-step explanation:

24/3=8

The value of b in the equation [tex]\( 3.2 = \frac{4}{5}(b - 5) \)[/tex] is 9.

To solve for b in the equation [tex]\(3.2 = \frac{4}{5}(b - 5)\)[/tex], we'll first distribute [tex]\(\frac{4}{5}\)[/tex] across b - 5:

[tex]\[3.2 = \frac{4}{5}b - \frac{4}{5} \times 5\]\[3.2 = \frac{4}{5}b - 4\][/tex]

Next, let's isolate the term containing b by adding 4 to both sides:

[tex]\[3.2 + 4 = \frac{4}{5}b\]\[7.2 = \frac{4}{5}b\][/tex]

Now, to solve for b, we'll multiply both sides by [tex]\(\frac{5}{4}\)[/tex] to isolate b:

[tex]\[b = 7.2 \times \frac{5}{4}\]\[b = 9\][/tex]

So, the value of b is 9.

Answer:

Step-by-step explanation:

3games cost38.97 so you have to divide 38.97divided by 3=12.99 so each game was 12.99 a game

To determine the cost of 1 game, set up an equation: 3n = $38.97. Divide both sides of the equation by 3 to isolate n. The cost of one game is $12.99.

To find the cost of one game, we can set up the equation 3n = $38.97based on the given information. where n represents the cost of one game. Since each game costs the same amount, we can write the equation:

3n = $38.97

Divide both sides of the equation by 3:

n = $38.97 / 3

Dividing both sides of the original equation by 3 is a way to undo the multiplication by 3 on the left side, thereby isolating the variable n.

When we perform this division, we find that n is equal to $12.99.

n = $12.99

Therefore, the cost of one game is $12.99.

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Answer:

14pqr+35pqr = pqr×(14+35)