Tlana grew 504 plants with 28 seed packets. How many seed packets does Tlana need to
have a total of 882 plants in her backyard?

REFER TO THE ABOVE ATTACHMENT BROTHER

D. 15

87+(6x+3)=180

87+6x+3=180

90+6x=180

6x=180-90

6x=180-90

6x=90

x=90/16

x=15

In the triangle below, ΔABE≅ΔCBD. Reason (AAS)

We should know that the postulates talk about the proofs about the given diagram or flowchart

There is an attached diagram to support our answer

Below gives the correct explanations

S/n         Statement                                     Reason

1               <ABE≅<CDE                             Given in the diagram

2            <AEB≅CED           The theory of vertical angles  are      equal        3             BE≅ED                                 Also given in the diagram

4          ΔABE≅ΔCDE            The rule of Angle, Side Angle proof

In conclusion the triangle below, ΔABE≅ΔCBD. Reason (AAS)

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Complete question:

Given AC 1 BD, complete the flowchart proof below. Note that the last statement and reason have both been filled in for you

Using operations, we can find that Chanise maximizes utility when she consumes 14 Blue-ray disks and 4 DVDs.

What are the four fundamental operations in mathematics? Addition, subtraction, multiplication, and division are the four fundamental mathematical operations.

Here in the question,

The equation we have is:

U(x,y) = 10x²y

Given,

The value of one Blue-ray disk = $20

The value of one DVD = $5

The total amount she has to spend is = $300

Now, we can see that the value of U(x,y) is highest when we have,

14 Blue-ray disks and 4 DVDs.

Therefore, Chanise maximizes utility when she consumes 14 Blue-ray disks and 4 DVDs.

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The formula for compound interest is

Where

A = final amount

P = principle amount

r = interest rate

t = period of time.

Now in our case,

A = 300

P = unknown

r = 4/100 0.04

t = 7 years

Putting the above values in the formula gives

Solving for P gives

Hence, Erki has initially deposited $227.975.

Answer:

c) subtraction property of =

Step-by-step explanation:

step 3 show the movement of +15 moving to the other side of the = by subtracting 15 on each side, leaving you with 3x-16

The three statements that are always true regarding the given diagram are: m∠3 + m∠4 + m∠5 = 180°

m∠2 + m∠3 = m∠6

m∠2 + m∠3 + m∠5 = 180° Option 2, 3, 4

In the given diagram, we have a triangle with interior angles labeled as angles 2, 3, and 5. The exterior angle at angle 2 is angle 1, the exterior angle at angle 3 is angle 4, and the exterior angle at angle 5 is angle 6. We need to determine which statements are always true regarding this diagram.

Let's analyze each statement:

m∠5 + m∠3 = m∠4: This statement is not always true. The sum of the measures of the interior angles of a triangle is always 180 degrees, but the exterior angles are not directly related to the interior angles in this manner.

m∠3 + m∠4 + m∠5 = 180°: This statement is always true. The sum of the measures of the interior angles of a triangle is always 180 degrees, regardless of the specific labeling of the angles.

m∠5 + m∠6 = 180°: This statement is not always true. The sum of the measures of the exterior angles of any polygon is always 360 degrees. However, in this specific triangle, the sum of the measures of the exterior angles at angles 5 and 6 would be equal to 360 degrees, not 180 degrees.

m∠2 + m∠3 = m∠6: This statement is always true. The sum of the measures of an exterior angle and its corresponding interior angle is always 180 degrees. In this case, angle 6 is the exterior angle at angle 5, and angle 2 is its corresponding interior angle.

m∠2 + m∠3 + m∠5 = 180°: This statement is not always true. The sum of the measures of the interior angles of a triangle is always 180 degrees, but the inclusion of angle 5 in this equation is not necessary to satisfy this property. Option 2 , 3, 4 are correct.

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Answer:

z > -4/5

Step-by-step explanation:

-9 - (2z - 7) > -2z - 6 - 5z

Get rid of the parenthesis

-9 - 2z + 7 > -2z - 6 - 5z

Combine like terms:

       -2 - 2z > -7z - 6

       +2       >       +2

Add 2 to both sides.

 -2z > -7z - 4

 +7z > +7z

Add 7 to both sides.

5z > -4

Divide both sides by 5 to get z.

z > -4/5

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

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Answer:

The question is not complete

The angles that we have in the image here are:

When two angles are measured, they sum up to 180. They are said to be supplementary angles.

On the question, we have two angles that are 90 degrees on a straight line. Hence they are supplementary.

This is an angle that is at 90 degrees. We have to two right angles on the diagram that we have here.

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Mai travels abοut 4.2 feet per secοnd faster than Kiran.

Circumference is the distance arοund the οutside οf a circle. It is the length οf the bοundary that enclοses a circle. Tο find the circumference οf a circle, yοu can use the fοrmula C=2πr, where "C" represents the circumference, "π" is a mathematical cοnstant (apprοximately equal tο 3.14159), and "r" is the radius οf the circle (the distance frοm the center οf the circle tο its edge). Sο, the circumference οf a circle is directly prοpοrtiοnal tο its radius. This means that if yοu dοuble the radius οf a circle, its circumference will alsο dοuble.

The circumference οf Kiran's ring is:

C1 = 2πr1 = 2π(9 ft) ≈ 56.55 ft

The circumference οf Mai's ring is:

C2 = 2πr2 = 2π(r1 + 8 ft) = 2π(17 ft) ≈ 106.81 ft

Therefοre, Mai travels a distance οf 106.81 - 56.55 = 50.26 feet mοre than Kiran in οne rοtatiοn.

The time it takes fοr οne rοtatiοn is given as 12 secοnds. Therefοre, the speed οf Kiran in feet per secοnd is:

V1 = C1 / t = 56.55 ft / 12 s ≈ 4.71 ft/s

And the speed οf Mai in feet per secοnd is:

V2 = C2 / t = 106.81 ft / 12 s ≈ 8.90 ft/s

The difference in their speeds is:

V2 - V1 = 8.90 ft/s - 4.71 ft/s ≈ 4.2 ft/s

Therefοre, Mai travels abοut 4.2 feet per secοnd faster than Kiran.

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The distance from Megan to the point on the ground directly below the kite would be = 80yd

To calculate the distance, the Pythagorean formula should be used such as follows;

c² = a² + b²

a = 60yd

C= 100yd

b = ?

That is;

100² = 60² + b²

make b the subject of formula;

b² = 10,000 - 3600

b² = 6400

b= √6400

b = 80yd

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Answer:

9576

Step-by-step explanation:

Area of the triangle × height

(1/2×28×19)×36

Answer:

8*4*3=96 boxes in total

Step-by-step explanation:

I think. I just multiplies the 3 numbers. Hope this helps (:

Answer:

8*4*3=96 boxes in total

Step-by-step explanation:

I just multiplies the 3 numbers.

The equation of the line would be y = 4x + 3

Option (D) is correct.

What is a linear equation?

A linear equation is an equation that represents a straight line when plotted on a coordinate plane. A linear equation has the form y = mx + b, where m is the slope of the line and b is the y-intercept, or the point where the line intersects the y-axis.

The table you provided lists x-values and corresponding y-values. To find the equation of the line that passes through these points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.

To find the slope, m, we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. Using the first two points in the table (x = 0, y = 3 and x = 3, y = 15), we can calculate the slope:

m = (15 - 3) / (3 - 0) = 12 / 3 = 4

So, the slope of the line is 4.

Next, we can use one of the points from the table and the slope to find the y-intercept, b. For example, using the first point (x = 0, y = 3), we can substitute the values of x, y, and m into the equation y = mx + b and solve for b:

3 = 4 * 0 + b

3 = b

So, the y-intercept of the line is 3.

Finally, using the slope and y-intercept we found, we can write the equation of the line in slope-intercept form:

y = 4x + 3

Hence, the equation of the line would be y = 4x + 3

Option (D) is correct.

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Answer:

ED = 31

DT = 20

Step-by-step explanation:

m< ESD = 90-52=38°

the distance ED = 40×tan 38° = 31.25 = 31

ET = 40 x tan (90-38) = 40×tan 52°

= 51.19= 51

the distance DT = 51-31 = 20

Answer:

133 m^2

Step-by-step explanation:

to find are of a circle it’s r^2 times pi

6^2 x pi

36 pi

113 m^2

Hopes this helps please mark brainliest

Answer:

Answer C is correct

Step-by-step explanation:

The formula to find the area of a circle is:

A = πr²

Here,

r => radius = 6m

Let us find the area of the circle.

A = πr²

A = 3.14 × 6 × 6

A = 113.04 m²

Approx. = 113m²

Answer:

Easy it's 40

Step-by-step explanation:

I think it's 40 because the other numbers are all with in the range of 10-20 except 40.

Answer:

Answer is 40! :)

Answer:

Fatima's points = 46

Zahra's points = 30

Step-by-step explanation:

Let's give names to the unknowns (the number of points each one got)

Fatima's points = y

Zahra's points = x

Now create the equations given by the info they provide:

"Fatima got 16 marks more than Zahra"

y = x + 16

"The product of their mark is 1380."

x * y = 1380

Now use the first equation as substitution for "y" in the second equation:

x * (x + 16) = 1380

reduce the expression:

x^2 + 16 x = 1380

x^2 + 16 x - 1380= 0

Solve using quadratic formula:

\(x=\frac{-16+/- \sqrt{16^2+4(1380)} }{2} \\x=\frac{-16+/- \sqrt{5776} }{2} \\x=-8+/- 38\\x = 30\,\,\,or\,\,\,x=-46\)

we pick 30 since the scores from a test must be larger than zero.

Now we use the first equation to solve for the other variable;

y = 30 + 16 = 46

then x = 30 and y = 46

Answer:

I did the math there is no answer

The measure of angle B is approximately equal to 56.31 degrees, rounded to two decimal places.

An angle measure is a numerical value that represents the amount of rotation between two intersecting lines, line segments or rays. It is typically measured in degrees, although other units of measurement such as radians and grads may also be used. The size of an angle can range from 0 degrees (corresponding to no rotation or a straight line) to 360 degrees (corresponding to a full rotation). In geometry, angles are used to describe the relationships between lines and shapes, and are an important concept in fields such as trigonometry and calculus.

To find the measure of angle B given cot B = 0.57736, we can use the inverse tangent function.

The tangent of an angle is the ratio of the opposite side to the adjacent side,

So cot B = adjacent side / opposite side.

By taking the inverse tangent of both sides and substituting cot B for adjacent side / opposite side, we arrive at the equation

B = arctan(cot B).

Evaluating arctan(cot B) using a calculator gives us the measure of angle B as,

B = arctan(cot B) = 56.31° (rounded to two decimal places)

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The complete question is: "Given cot B = 0.57736, determine the measure of angle B".

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

Answer:

4. y = 8 - x is the right answer

Answer:

4. y = 8 - x

Step-by-step explanation:

The question asks for which function is the ordered pair not a solution?

We need to substitute the ordered pair (4, 12) into x and y.

1. 12 = 3(4) (correct)

2. 12 = 16 - 4 (correct)

3. 12 = 4 + 8 (correct)

4. 12 = 8 - 4 (incorrect)

Therefore, the solution to your question is option 4.

There are 15 cats in the animal shelter.

An equation in which is  the highest power of to the  variables 1 is knowns as the  linear equation. Mathematically: it is an  algebraic equations that can be also  written in the form of  ax + b = 0 or ax + by + c = 0, where a, b and c are definitely real numbers and x and y are variables with the highest power one.
In order to solve this problem, we must set up a proportion. Proportions are an equation that states that two ratios are equal. In this case, we are looking for the number of cats (c) in the animal shelter.

Let's set up the proportion.

5/3 = 25/c

We can then solve for c by multiplying both sides by c.

5c/3 = 25

c = 15

Therefore, there are 15 cats in the animal shelter.

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Answer:

Step-by-step explanation:

the degree of a polynomial determines 1:1 the number of solutions.

a quadratic equation (degree 2) has 2 solutions.

the general solution is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = -4

b = -4

c = -1

so,

x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)

when we look at the square root

16 - 16

we see that it is 0.

the square root of 0 is 0, and there is no difference between -0 and +0.

so, we get only one (real) solution : 4/-8 = -1/2

but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.

so, I am not sure what your teacher wants to see in this case as answer.

my answer would be 2 real identical solutions. did this help?

The probability of getting at least 6 heads is3/256 or 0.0117

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Probability is a measure of how likely something is to occur. Calculating probability involves dividing the total number of outcomes by the number of possible ways an event may occur.

Given that,

A fair coin is tossed = 8 time.

We have to find the probability of getting at least 6 heads.

Since, the probability of getting head, when one coin is tossed = 1/2

And the probability of getting tale = 1/2  

The probability of getting head at least  6 times when coin is tossed 8 times can be given as,

The head can come 6 times, then probability = \((1/2)\x^{6} (1/2)\x^{2}\) =  (1/2)⁸

The head can come 7 times, then probability = (1/2)⁷(1/2) = (1/2)⁸

The head can come 8 times, then probability = (1/2)⁸

The probability of getting head at least 6 times

= (1/2)⁸ + (1/2)⁸ +  (1/2)⁸ = 3(1/2)⁸ = 3/256 = 0.0117

The probability of getting at least 6 heads is3/256 or 0.0117

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The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

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Answer:

A. 16% of scores are at his/her score or below

Step-by-step explanation:

When a student's score is at the 16th percentile, it means that their score is equal to or better than 16% of the scores in the population. In other words, 16% of the scores are at their score or below.

Answer:

375π

Step-by-step explanation:

Volume of a cone = 1/3πr²h

Radius, r = 10/2 = 5

Height, h = 45

Volume V = 1/3 * π * 5² * 45

V = π * 25 * 15

V = 375π