If 400 m long fencing wire is required to surround a square flower garden 2 times, find the length of the garden. the Links Book 6 Approved by CDC​

Answer:

3150 feet for both

Step-by-step explanation:

correct?

Answer:

426+315=741

Step-by-step explanation:

Answer:

426+315 = 741

Step-by-step explanation:

Answer:

x = 2.5

Step-by-step explanation:

           y = -3x + 14   -----------(I)

3x - 5y = -25 -------------------(II)

Substitute y = -3x + 14 in equation (II),

             3x -5 ( -3x + 14) = -25

          3x  + 5 * 3x - 5*14 = -25

            3x  + 15x - 70      = -25    {Combine like terms}

                        18x - 70   = -25  

Add 70 to both sides,

                                 18x = -25 + 70

                                 18x = 45

Divide both sides by 18,

                                    x = 45 ÷ 18

                                   x = 2.5

Answer:

The value of x in the solution to the system of equations is x = 7.

Here's the explanation and verification:

Solve for X in the first equation:

Y = -3X + 14

X = (Y - 14) / -3

Substitute this expression for X into the second equation:

3X - 5Y = -25

3((Y - 14) / -3) - 5Y = -25

Simplify this expression:

Y + 42 / 3 + 5Y = -25

6Y + 42 / 3 = -25

Solve for Y:

6Y = -25 - 42 / 3

6Y = -25 - 14

6Y = -39

Y = -39 / 6

Y = -6.5

Substitute this value of Y back into the expression for X that you found in step 1:

X = (Y - 14) / -3

X = (-6.5 - 14) / -3

X = (-20.5) / -3

X = 6.83

Round the answer to the nearest integer, so X = 7.

Verification:

Now that you have found the values of X and Y, you can verify that they are a solution to the system of equations by plugging them back into the original equations and seeing if they make both sides equal.

Y = -3X + 14

Plug in X = 7 and Y = -6.5:

-6.5 = -3 * 7 + 14

-6.5 = -21 + 14

-6.5 = -7

3X - 5Y = -25

Plug in X = 7 and Y = -6.5:

3 * 7 - 5 * -6.5 = -25

21 + 32.5 = -25

53.5 = -25

Both equations evaluate to true, so X = 7 and Y = -6.5 is a solution to the system of equations.

4 units

Number lines are linear representations of length or some other unit.

Number Lines

Number lines are always straight lines that only have one dimension. This means that there is only one axis or line that has values. As seen in the picture, number lines are usually drawn horizontally and marked with numbers to visually represent data.

Line of QR

The question asks for the units of QR. This notation represents the line between the 2 points Q and R. So, to find the length of the line we can simply count the distance between the two points. Between the values of -3 and 1, there are 4 units. So, the line has a length of 4 units.

We can also find the length by subtracting the two numbers.

The distance of a = 1 / 2 pi, b = 1 pi, and c = 3 / 2 pi.

The complete movement of an object, regardless of direction, is referred to as distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance.

Given:

The time, t = π / 2 sec,

Calculate the distance by using the formula given below,

\(Distance = r\times time\)

So, for distance, a = 1 × π / 2 =  π / 2

for distance, b = 1 × π =  π

for distance, c = 1 × 3 π / 2 =  3 π / 2

Therefore, the distance of a = 1 / 2 pi, b = 1 pi, and c = 3 / 2 pi.

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Answer:

3.162

Step-by-step explanation:

on a calculator type in sqrt of 10 and round it to three decimal places

Carly reads at a faster rate than Monica. The number of pages in Monica's novel is greater than the number of pages in Carly's novel.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Carly Equation:

y= - 35x + 220

and, Monica equation:

slope = (90- 240)/ 5-0

slope = -150/5

slope= -30

and, the equation is

y- 240 = -30 x

y= -30x + 240

From comparing both cases Carly start with 220 pages and Monica with 240 pages and Carly will complete in 7 hours whereas Monica will complete in 8 hours.

Hence, Carly reads at a faster rate than Monica.

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Answer:

the subtraction property of equality

Step-by-step explanation:

trust

Answer:

Subtraction

Step-by-step explanation:

Answer:

y=3x+(-9).

OR

y=3x-9

Step-by-step explanation:

First of all, we can find the slope of the first line.

m=\(\frac{y2-y1}{x2-x1}\)

m=\(\frac{5-2}{4-3}\)

m=3

We know that the parallel line will have the same slope as the first line. Now it's time to find the y-intercept of the second line.

To find the y-intercept, substitute in the values that we know for the second line.

(-3)=(3)(2)+b

(-3)=6+b

b=(-9)

Therefore, the final equation will be y=3x+(-9).

Hope this helps!

Answer: 84

   We have, 125% × x = 105

   or, 125100 × x = 105

   Multiplying both sides by 100 and dividing both sides by 125,

   we have x = 105 × 100125

   x = 84

   If you are using a calculator, simply enter 105×100÷125, which will give you the answer.

Answer:

84

Step-by-step explanation:

105÷126×100=84

Hope it helps!!

Let ones side be a and others be a+4

ATQ

\(\\ \sf\longmapsto a^2+(a+4)^2=170\)

\(\\ \sf\longmapsto a^2+a^2+8a+16=170\)

\(\\ \sf\longmapsto 2a^2+8a=154\)

\(\\ \sf\longmapsto a^2+4a=77\)

\(\\ \sf\longmapsto a^2+4a-77=0\)

\(\\ \sf\longmapsto a=7\:or\:a=-11\)

\(\\ \sf\longmapsto a=7\)

Answer:

3+3 and 2(3)

Step-by-step explanation:

3+3 and 2(3)

Answer:

yes

Step-by-step explanation:

x+3 = 6 if X is 3

2x = 6

2(3) = 6

so the statement is correct

It will take 36 seconds until animals are 156 yards apart.

Relative speed is speed of object with respect to each other. In relative speed:

There relative speed with respect to each other will be (A + B)

There relative speed with respect to each other will be (A - B) (given speed A is quantitatively greater than speed B).

________________________________________________________

Given

Direction of the animals with respect to each other is opposite.

Therefore, their relative speed will be (8 + 5) = 13 feet per second

This can be understood intuitively as well

if deer and beer are covering 8 feet and 5 feet in one second in opposite direction then the distance will increase between them.

distance increased between them in one second will be sum of 8 feet and 5 feet which is equal to 13 feet.

Thus, distance covered per second is nothing but speed. Here, this speed is relative to each other. Thus, 13 feet per second is the relative of each animal.

_______________________________________________

Now in problem of speed, distance and time.

\(\sf Time = \dfrac{Distance}{Speed}\)

Distance = 156 yards

one yard is equal to 3 feet

So, 156 yards is equal to 3 x 156 feet

156 yards in feet is 468 feet

Distance in feet  = 468 feet

Therefore,

\(\sf Time = \dfrac{468}{13} = 36 \ seconds\)

_________________________________________

Thus, It will take 36 seconds until animals are 156 yards apart.

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Answer:

1/(4^(n-1))

Step-by-step explanation:

if you start at zero then this should be the solution

Answer:

f(4) = 24

Step-by-step explanation:

Plug in 4 for x in the equation:

f(x) = x² + 3x - 4

f(4) = (4)² + 3(4) - 4

Remember to follow PEMDAS. PEMDAS =

Parenthesis

Exponents (&  Roots)

Multiplication

Division

Addition

Subtraction

and is the order of operation.

First, solve the power:

(4)² = 4 * 4 = 16

Next, multiply 3 with 4:

3 * 4 = 12

Next, combine the terms:

f(4) = 16 + 12 - 4

f(4) = (16 + 12) - 4

f(4) = 28 - 4

f(4) = 24

f(4) = 24 is your answer.

~

Answer:

24

Step-by-step explanation:

Plug x as 4.

(4)² + 3(4) - 4

16 + 12 - 4

= 24

Answer:

f=8

Step-by-step explanation:

0.62(f+(-6)+6.96=8.2

0.62(f-6)+6.96=8.2

multiply both sides by 100

0.62(f-6)*100+6.96*100=8.2*100

Refine

62(f-6)+696=820

Subtract 696 from both sides

62(f-6)+696-696=820-696

Simplify

62(f-6)=124

Divide both sides by 62

62(f-6)/62 = 124/62

Simplify

f-6=2

add 6 to both sides

f-6+6=2+6

simplify

f=8

Answer:

8

Step-by-step explanation:

1. Distribute 0.62 to each term in the parenthesis:

0.62(f) + 0.62(-6)

0.62f - 3.72 + 6.96 = 8.2

2. Add 3.72 and 6.96:

0.62f - 3.72 + 6.96 = 8.2

0.62f + 3.24 = 8.2

3. Subtract 3.24 from both sides of the equation:

0.62f + 3.24-3.24 = 8.2-3.24

0.62f = 4.96

4. Divide 0.62 by both sides to isolate f:

0.62f/0.62 = 4.96/0.62

f = 8

hope this helps!

Answer:

Given:

radius of bigger half circle[R]=(7+7+14)/2=14cm

radius of smaller half circle [r]=14/2=7cm

Area of shaded region =1/2[πR² -πr²]

=1/2×22/7×[14²-7²]=231cm²

Area of shaded region=231cm²

This equation is true (900 = 900), the triangle is a right triangle. The Pythagorean Theorem confirms that the given triangle with sides 30, 18, and 24 is indeed a right triangle.

In order to determine if the triangle with sides 30, 18, and 24 is right, acute, or obtuse, we'll use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

First, let's square each side's length: 30^2 = 900, 18^2 = 324, and 24^2 = 576. Now, let's check if the sum of the squares of the two shorter sides equals the square of the longest side:

324 + 576 = 900
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Answer:

-213

Step-by-step explanation:

Hi there!

\(3|x+y|^2-(xy)^2\)

Replace x with 3 and y with -5

\(= 3|3+(-5)|^2-[(3)(-5)]^2\\= 3|3-5|^2-(-15)^2\\= 3(2)^2-225\\= 3(4)-225\\= 12-225\\= -213\)

I hope this helps!

Weighted Mean = (90 × 25% + 79 × 20% + 82 × 10% + 70 × 15% + 85 × 15%) / (25% + 20% + 10% + 15% + 15%)

Unweighted Mean = (90 + 79 + 82 + 70 + 85) / 5

One student, Kyle, hasn't taken his final exam yet, but his marks in the first five categories are 90, 79, 82, 70, and 85. This problem requires determining the weighted mean for Kyle before the final exam and comparing it to the unweighted mean.

To calculate the weighted mean for Kyle before the final exam, we need to multiply each category's mark by its corresponding weight, sum them up, and divide by the total weight. For Kyle, the weighted mean would be calculated as follows:

Weighted Mean = (Knowledge × 25% + Application × 20% + Thinking × 10% + Culminating Project × 15% + Final Exam × 15% + Communication × 15%) / (Total Weight)

However, since Kyle hasn't written his final exam yet, we can exclude the Final Exam mark and its weight from the calculation. The weighted mean would then be:

Weighted Mean = (90 × 25% + 79 × 20% + 82 × 10% + 70 × 15% + 85 × 15%) / (25% + 20% + 10% + 15% + 15%)

To find the difference between the weighted mean and the unweighted mean, we need to calculate the unweighted mean by simply taking the average of the marks in the first five categories:

Unweighted Mean = (90 + 79 + 82 + 70 + 85) / 5

By comparing the weighted mean and the unweighted mean, we can evaluate how much the inclusion of weights for different categories affects Kyle's overall mark.

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Answer:

\(ym = n \\ y = n \div m\)

Answer:

2/3

Step-by-step explanation:

There are 6 different letters and 4 of them are consonants, so:

4/6 simplify it by 2:

2/3

Answer:

C

Step-by-step explanation:

First, let us clarify what (11, 0) represent

(x, y) ---> (11, 0)

The values are as followed:

x = 11

y = 0

If the problem states that x is the number of days after the promotion started, then it will be 11 days.

When we assert that it has been 11 days, we rule answers A and D.

If the problem states that y is the number of free coffee samples that remain after 11 days (because x is included in this statement), then it will be 0 samples.

Therefore, the answer will be C. After 11 days of the promotion, there will be 0 samples that are left.

Graph D shows the relationship between the number of side dishes and the total cost of the special.

Since we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

In Graph D, the y coordinate, or we can say that the number of boxes is 25 for the x coordinate, or the time (in days).

As we follow the graph, we can say that there is 21 boxes for 3 days, 19 boxes for 4 days, and 13 boxes for 7 days.

Therefore, Graph D shows the relationship given in the table.

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One-half of the dogs in each shelter are between the weights represented by the first and third quartiles, which are approximately 20-55 pounds for the first shelter and 25-65 pounds for the second shelter, respectively.

A box plot is a visual representation of a set of data that shows the median, quartiles, and outliers of the data. The box represents the middle 50% of the data, with the bottom and top edges of the box representing the first and third quartiles, respectively. The line inside the box represents the median, or the middle value of the data set. The "whiskers" extend from the edges of the box to the minimum and maximum values of the data set, but outliers beyond the whiskers are represented as individual points.

Now, let's look at the two box plots showing the weights of dogs in two different animal shelters. One-half of the dogs in each shelter are between the first and third quartiles, which are represented by the edges of the box in each plot.

If we take the first box plot, we can see that the first quartile is approximately 20 pounds and the third quartile is approximately 55 pounds. Therefore, one-half of the dogs in this shelter weigh between 20 and 55 pounds.

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The probability that a randomly chosen light bulb lasts more than 10,500 hours is 0.0668 (rounded to four decimal places).

The probability that a randomly chosen light bulb lasts more than 10,500 hours is 0.0668(rounded to four decimal places).Here's how to calculate it:Given data mean μ = 9,000 and standard deviation σ = 1,000.To calculate the probability that a random light bulb lasts more than 10,500 hours, convert the problem to a standard normal distribution.

z = (10,500 - μ)/σ = (10,500 - 9,000)/1000 = 1.50

Here's the standard normal distribution curve with the shaded area representing the probability required: Standard normal distribution curve with the shaded area

Now, the area under the curve to the right of z = 1.5 is the probability that a randomly chosen light bulb will last more than 10,500 hours.

Using the Z table, we can look up the value corresponding to a z-score of 1.5. The table gives us a value of 0.9332.Now, the area to the left of z = 1.5 is 1 - 0.9332 = 0.0668, which is the probability that a randomly chosen light bulb lasts more than 10,500 hours, rounded to four decimal places.

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Answer:

Step-by-step explanation:

2x + 2y = 6

-2x + 4y = 24

6y = 30

y = 5

10 - x = 12

-x = 2

x = -2

(-2, 5)

Answer:

$64

Step-by-step explanation:

Since 20% is 0.20 and a whole is 1.00, to discount the price, we have to subtract the whole value by the discount value 1.00-0.20=0.80

Then we have to find 80% of 80

80%=0.80

0.80*80=64

The sale price is $64

Answer:

20.25

Explanation

2.70 times 7.5 = x

2.70 times 7.5 = 20.25