A neighborhood garden is 3/4 acre in size it is divided into plots that are each 1/8 acre how many 1/8 -acre plots are there in the neighborhood garden use the models below to help you

Answer:

y=2x-6

Step-by-step explanation:

y+4=-2(x-1)

Since the slope intercept form is in the form of:

y=mx+c

Making above equation in this form.

y+4=-2(x-1)

opening bracket

y+4=2x-2

subtracting both side by 4.

y+4-4=2x-2-4

y=2x-6

This equation is the slope intercept form.

Answer:

2

Step-by-step explanation:

2

Answer:

x = 9

y = 9\(\sqrt{3}\)

Step-by-step explanation:

This is a special right triangle with angle measures 30-60-90

and side lengths as follows:

The side that sees angle measure 30 is represented with a

The side that sees angle measure 60 is represented with a\(\sqrt{3}\)

The side that sees angle measure 90 is represented with 2a

The side that sees angle measure 90 is given as 18 so

2a = 18

a = 9 so x = 9

and since a = 9 y would be 9\(\sqrt{3}\)

We are given two triangles that have two equal sides and an equal angle. By the theorem SAS (Side Angle Side) these two triangles are congruent, therefore, the corresponding sides are the same. Therefore, we can say that BC is equal to DE

Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

Learn more about Cosine Ratio on:

https://brainly.com/question/15793827

#SPJ1

Yes , it is true that two pairs of adjacent sides of a kite are equal .

A quadrilateral with two pairs of adjacent sides equal in length is called a kite. Kites also have one pair of opposite angle equal as shown in the figure below.

Hence , the given statement is true .

​Learn more about kite here :

https://brainly.com/question/23279609

#SPJ9

Answer:

Height in w week = 12 + 2w

Step-by-step explanation:

Given:

Height of plant = 12 cm

Rate of plant growth = 2 cm per week

Find:

Equation

Computation:

Height in w week = Height of plant + (Rate of plant growth)(Number of week)

Height in w week = 12 + (2)(w)

Height in w week = 12 + 2w

Aircraft A has 312 seats.

Let's assume that Aircraft B has x seats.

According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.

The total number of seats in both aircraft is 519, which can be represented by the equation:

x + (x + 105) = 519

Simplifying this equation, we have:

2x + 105 = 519

Subtracting 105 from both sides, we get:

2x = 414

Dividing both sides by 2, we find:

x = 207

Therefore, Aircraft B has 207 seats.

To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:

Aircraft A = 207 + 105 = 312

Hence, Aircraft A has 312 seats.

for such more question on number of seats

https://brainly.com/question/859564

#SPJ8

Check the picture below.

Answer:n=-9/2m

Step-by-step explanation:

Step 1: Add 3n to both sides.

-2m-5n+3n=7m-3n+3n

-2m-2n=7m

Step 2: Add 2m to both sides.

-2m-2n+2m=7m+2m

-2n=9m

Step 3: Divide both sides by -2.

-2m/-2=9m/-2

n=-9/2

Hope I helped

Answer:

n= -9m/2

Step-by-step explanation:

-2m-7m-5n=7m-7m-3n

-9m-5n+5n= -3n+5n

-9m=2n

n= -9m/2

Answer:  1.)  y= 3

2.)  y = 3/4 x -3

Step-by-step explanation:

1. A horizontal line passes through the y-axis.and includes all x values.

2. use slope intercept form y = mx + b

To find the slope, m, take difference in y-values divided by difference in x-values.  b is the y-intercept , given in the question. -3

0 -(-3)/ 4-0 = 3/4 = m  

insert the values into the equation:

y = 3/4 x - 3

Answer:

\(P = 48 in\),\(A= 120in^2\)

Step-by-step explanation:

Again we can use Pythagorean theorem to find the missing side

x^2 + 15^2 = 17^2

x^2 + 225 = 289

Subtract 225 from both sides

x^2 = 64

Find the square root of both sides

√x^2 = √64

x = 8

So

l = 15in, w = 8in

P=2(15) + 2(8)

P = 30 + 18

P = 48 in

A= 15(8)

A= 120in^2

The difference in volume between the two boxes would be = 156in³

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

Learn more about volume here:

https://brainly.com/question/27710307

#SPJ1

The way the numbers will be placed in the square box will be:

First row = 4 12 14

Second row = 2 10 18

Third row = 6 8 16

It should be noted that the question is simply about adding the numbers and getting 39 in each place.

This will be:

First row = 4 12 14 = 4 + 12 + 14 = 30

Second row = 2 10 18 = 2 + 10 + 18 = 30

Third row = 6 8 16 = 6 + 8 + 16 = 30

Learn more about squares on:

brainly.com/question/24673551

#SPJ1

Answer:

If the sum of two numbears is 44 and their difference is 6, find the numbers.​

we can solve with an expression

(44 - 6) : 2 =

38 : 2 = 19 (1st number)

19 + 6 = 25 (2nd number)

Answer:

The answer is c 2580/6

Step-by-step explanation:

The answer is c because the ounces are trying to be separated into the 6 jars so it makes sense that they will divide

This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It can be simplified, evaluated, or manipulated using algebraic rules and properties.

Let x be the number of miles Mr. Smith drove. Then, the number of miles Mr. Stein drove is \(140 - x\)  , since they drove a total of 140 miles and Mr. Smith already drove x miles.

the algebraic expression for how many miles Mr. Stein drove is:

\(140 - x\)

Therefore, This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.

Learn more about expression here:

brainly.com/question/14083225

#SPJ1

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem 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.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

For more questions on Height .

https://brainly.com/question/73194

#SPJ8

Answer:

A. 2

Step-by-step explanation:

Answer:

(-3,2)

Step-by-step explanation:

you go to the left by 3 (negative), then you went up by 2 (positive). You always do x (horizontal) before y (vertical).

:)

Answer:

            P = 4x  +  10

Step-by-step explanation:

perimeter of a rectangle = 2( width + length )

   P = 2 ( x - 2  +  x + 7 )

   P = 2 ( x + x  +  7 - 2 )

        P = 2 ( 2x +  5 )

            P = 4x  +  10

a) The coefficient of variation (CV) for Brand A, is equals to the 2.8%.

b) The coefficient of variation (CV) for Brand B, is equals to the 2.0%.

c) Brand B, is more consistently produces tablets as advertised.

We have comparing data of consumer groups of vitamin C tablets of two brands. Tablets for each group were selected randomly. Data from above table, For brand A :

Tablets contains the quantity of vitamin C = 500 mg

Sample mean = 250

Standard deviation = 7

For brand B :

Tablets contains the quantity of vitamin C = 250 mg

Sample mean = 500

Standard deviations = 10

Cofficient of variation, CV is statistical parameter and it is the ratio of the standard deviation to the mean. Formula is, Coefficient of Variation (CV)

= (Standard Deviation/Mean) × 100.

a) To calculate the coefficient of variation (CV) for Brand A = (7/250 )×100

= 2.8%

b) To calculate the coefficient of variation (CV) for Brand B = (10/500 )×100

= 2.0%

c) As we see, Cofficient of variation of advertising for brand B is less than brand A. So, Brand B more consistently produces tablets as advertised.

Hence, required brand is brand B.

To learn more about Cofficient of variation, refer:

https://brainly.com/question/19616808

#SPJ4

Complete question:

consumer interest group is comparing two brands of vitamin C. One group advertises that its tablets contain 500 mg of vitamin C. The other advertises that its tablets contain 250 mg of vitamin C. Tablets for each group were selected randomly. The table above shows the results.Vitamin C Content (mg) Brand A (500 mg) x = 250s = 500Brand B (250 mg) x = 500s = 10

a) Calculate the coefficient of variation (CV) for Brand A (1point)

b) Calculate the coefficient of variation (CV) for Brand B (1 point)

c) Which brand more consistently produces tablets as advertised? (2 points) d) Explain your answer to c) above. (1 point)

The equation of the line passes through the origin and (5,3) is y = 3 / 5x and two points are (5 / 3, 1) and (10/3, 2).

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

A line passes through the origin (0, 0) and(5,3),

The equation of the line will be,

y - 0 = 3-0 / 5-0 (x -0)

y = 3 / 5x

Put y = 1 then x = 5 / 3

Put y = 2 then x = 2 × 5 / 3 = 10 / 3

Therefore, the equation of line passes through the origin, and (5,3) is y = 3 / 5x and two points are (5 / 3, 1) and (10/3, 2).

To know more about the line:

https://brainly.com/question/2696693

#SPJ1

Answer:

Step-by-step explanation:

In the uniform distribution, the mean (7.5) is equal to the median (8), making it the data set where the mean is equal to the median.

The data set in which the mean is equal to the median is the uniform distribution. In the provided data set, the bars represent the heights of the distribution. In the uniform distribution, the heights are 8, 6, 6, 8, 7, 8, 6, 8, 8, 8.

To determine the mean and median, we first calculate the mean by summing up all the values and dividing by the total number of values:

(8 + 6 + 6 + 8 + 7 + 8 + 6 + 8 + 8 + 8) / 10 = 75 / 10 = 7.5The mean of the data set is 7.5.

To find the median, we arrange the values in ascending order:

6, 6, 6, 7, 8, 8, 8, 8, 8, 8

Since there are 10 values, the median is the average of the fifth and sixth values, which is (8 + 8) / 2 = 8.

It is worth noting that the other distributions mentioned, namely the normal distribution and the skewed right and left distributions, do not have the mean equal to the median.

For more such questions on uniform distribution

https://brainly.com/question/22209943

#SPJ8

Answer:

-4x-5

Step-by-step explanation:

sorry I can't get the graph

Answer:

Step-by-step explanation:

y = -4x-5

Answer:

Step-by-step explanation:

Given that Ruben's distance from Barstow is d = |210 -60t|, you want to know the time t when he is exactly 90 miles from Barstow.

The absolute value will be 90 when the argument of the function is either -90 or +90.

The question resolves to two equations:

These two-step linear equations can be solved in the usual way:

Then ...

Ruben is 90 miles from Barstow after driving 2 hours, and again after driving 5 hours.

Answer:

198in³

Step-by-step explanation:

okay, so this is just a volume problem, just break it down into your rectangular prism and your rectangular pyramid, so let's start on the bottom:

(the formula for the volume of a rectangular prism is base x height)

6 x 4.5 = 27

So now we multiply by 5 (the height)

27 x 5 = 135

So we put that aside while we do the pyramid

(this formula is base x height ÷ 3)

So we already have 27 from the rectangle thingy, so:

27 x 7 = 189

189 ÷ 3 = 63

So now we add both of our volumes together:

135 + 63 = 198

So the volume of the figure is 198in³

But in word problem terminology, There is 198in³ in Owen's birdhouse

hope this helps:)

Answer:

8.9

Step-by-step explanation:

15.71428571-6.8=8.914285714

We round of to one significant figure because its addition n the lowest is 6.8

Answer:

\(8\frac{32}{35}\)

Step-by-step explanation:

The value of b is 7 and a statement which is true about the x-intercepts of this function is that it can have up to 2 x-intersept.

The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis.

Number 5 is the one x-intercept of the equation,

\(y = x^2 + bx + 10\)

Put the value of y as 0 and x as 5 at the to find the value of b.

\(0= 5^2 + b\times 5 + 10\\0= 5^2 + b\times 5 + 10\\0=25+5b+10\\5b=35\\b=7\)

Thus, the value of b is 7.

The given equation is a quadratic equation, and a quadratic equation may have 2 x-intercept. Thus, the true statement is that x-intercepts of this function can be up to 2.

Hence, the value of b is 7 and a statement which is true about the x-intercepts of this function is that it can have up to 2 x intercept.

Learn more about the x-intercept here;

https://brainly.com/question/8018800

#SPJ1