Help please and thxxx

Using compatible numbers and adjusting them helps us to perform mental math and make calculations faster. This method also helps us to estimate answers and check if the actual answer is reasonable or not.

To find sums, I would prefer to use the method of using compatible numbers and adjusting. The reason behind this is that it can help me to perform mental calculations and solve mathematical problems faster.What are compatible numbers?Compatible numbers are numbers that are close to the actual numbers, but are easier to work with mathematically. They are rounded numbers that make it easier to perform mental math. Once we have the answer, we can adjust it to get the correct answer.To solve an addition problem using compatible numbers, we choose numbers close to the actual numbers in the problem. For example, if we are adding 45 and 32, we can round the numbers to 50 and 30. Then we add 50 and 30 to get 80, which is the compatible number sum. But this is not the actual answer because we rounded the numbers, so we need to adjust. We subtract 5 from 50 and add 3 to 30 to get 45 and 33, respectively. Then we add the adjusted numbers (45 and 33) to get the correct answer, which is 78.Using compatible numbers and adjusting them helps us to perform mental math and make calculations faster. This method also helps us to estimate answers and check if the actual answer is reasonable or not.

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The system of linear equations has at least one solution is consistent , whereas a system of linear equations that has no solution is inconsistent

What is a system of linear equations?

A collection of one or more linear equations involving the same variables is known as a system of linear equations (or linear system) in mathematics.

The subject of linear algebra, which is employed in most areas of contemporary mathematics, is based on the theory of linear systems. Numerical linear algebra includes computational strategies for obtaining the solutions, which are crucial to the fields of engineering, physics, chemistry, computer science, and economics. A helpful strategy when creating a mathematical model or computer simulation of a relatively complex system is to approximate a system of non-linear equations by a linear system (see linearization).

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We know that the length of a rectangle is twice its width. Then:

The area of a rectangle is the product of its width and length. Then:

Additionally, we know that the area is 162 in². Using the expression above we can obtain the value of x:

Finally, the perimeter (2P) is just twice the sum of the width and the length of the rectangle:

Answer:

Amelia made a mistake in Step 2. She should have squared the expression (r+2) before taking the square root of both sides.

A circle is a two-dimensional shape that is defined as the set of all points in a plane that are at a constant distance, called the radius, from a given point, called the center. It can be thought of as a closed curve or a line forming a closed loop. The distance around the circle is known as its circumference, and it is equal to 2 times pi times the radius, where pi is an irrational number approximately equal to 3.14159. The area enclosed by a circle is given by the formula A = pi times the radius squared. Circles have many important applications in mathematics, geometry, and physics, and they are used to represent many real-world objects, including wheels, gears, planets, and celestial objects.

Amelia made a mistake in Step 2. She should have squared the expression (r+2) before taking the square root of both sides.

The correct solution process is:

Step 1: A = π (r+2)²

Step 2: ±√(A/π) = r+2

Step 3: (± √(A/π)) - 2 = r

In Step 2, we first divide both sides by pi, and then take the square root of both sides. In Step 3, we subtract 2 from both sides to isolate r. This process correctly solves for the radius of the original circle based on the given area covered in oil.

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In Animal Farm, Boxer, many piglets, hens, and a lot of other nameless creatures all perish under Napoleon's tyranny.

The framework, the structure, within which a story is produced, is known as the plot of a story. It almost acts as the blueprint for how all the many parts of a literary work fit together to form a finished product. The five elements that make up a story's plot are as follows: the introduction, also known as exposition, in which the reader is given background information on the narrative's characters and setting as well as other essential details.

The three main parts of a story are the rising action, the climax, and the falling action. The rising action is when the writer builds up the information and develops the story to lead the reader to the story's crucial point. The climax is essentially the heart of the story and the point at which the action reaches its highest pitch. To prepare for the story's conclusion, the loose ends also start to be tied off. The conclusion of the story, or resolution, comes last.

Boxer is now known as the most pitiful of Orwell's characters because of his death in this chapter. Napoleon has completely brainwashed him; as a result, he lives (and dies) for the benefit of the farm, whose boss sells him to a knacker as soon as he becomes unfit for labor.

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Answer:

121° and 59°

Step-by-step explanation:

We'll assign the two angles 'a' and 'b'. Since they are supplementary, this means they add to 180°. We can model this peoblem with the expressions:

a + b = 180° and a - b = 62°

Let's use the second equation to find a substitution for a:

a - b = 62°

a = 62° + b

Now substitute this in the first equation and solve:

(62° + b) + b = 180°

62° + 2b = 180°

2b = 118°

b = 59°

59° + 62° = 121° this is angle a

Answer:

True

Step-by-step explanation:

This equation correctly represents the total cost of the food that the friends ended up paying for the popcorn and sodas. In this expression, the cost of each individual soda is represented by the variable x which is multiplied by 4 since each one of the four friend's purchased their own soda. After making this multiplication process that product is added to the initial $12 that they all spent together on the popcorn.

Each friend paid $4 for popcorn.

The total cost of the food can be represented by the expression 4x + $12.

Given

Four friends bought an extra-large $12 popcorn.

Each person bought their own drink.

Let x be the number of friends.

The total cost of food= Total number of friends + cost of popcorn.

The total cost of the food can be represented by the expression 4x + $12.

Therefore;

The amount paid by each friend is;

\(\rm 4x=12\\\\x=\dfrac{12}{3}\\\\x=4\)

Hence, each friend paid $4 for popcorn.

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By counting the table entries, we can see that there are 10 different options for a 3-topping pizza.

The different toppings ought on a pizza are:

As a general rule of thumb, I recommend selecting three to five toppings for each pizza you create.

Because mozzarella is a basic component of every pizza I prepare, it does not qualify as a topping.

Other cheeses that can be used as toppings are goat cheese, feta, and smoked gouda.

The most common supreme toppings are pepperoni, link, immature bell pepper, ebony olives, and red onions.

Sautéed mushrooms or even hot peppers are frequently incorporated.

Even though the sauce and cheese should almost always go on the bottom, the toppings themselves usually require the greatest attention.

Regardless of how many layers your pizza has, the top layer will receive the most heat.

Thus, by counting the table entries, we can see that there are 10 different options for a 3-topping pizza.

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Answer:

NS= 20

Step-by-step explanation:

4x / 3x-5 (2/1)

4x / 6x-10

-6x -6x

-2x / -10

X / 5

X=5

NS= 4x

NS= 4(5)

NS= 20

Answer:

c

Step-by-step explanation:

James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

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Answer:

neither

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

parallel lines have the same slope

perpendicular lines have the opposite of the reciprocal of the slope of the other line

The slope of the first line is 3 and the slope of the second line is -3.

If the lines were parallel, the slopes would be the same, so 3 = -3 which is not true, so they aren't parallel.

If the lines were perpendicular, the slope of the second line would be the opposite reciprocal of 3, or -1/3. -1/3 does not equal 3, so these lines are not perpendicular

Answer:

1/7

Step-by-step explanation:

There are seven people in all on person will arrive at a different time than others. Every single one of them arrives at different times so it's 1/7

The polynomial 400x⁶ + 600x⁶ has a degree of 6 and is a binomial.

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Polynomials are classified based on degree as linear, cubic, quadratic, etc.

A polynomial with two terms is known as a binomial. Hence:

The polynomial 400x⁶ + 600x⁶ has a degree of 6 and is a binomial.

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Explanation

We are given the following:

• A security camera is mounted on a wall 12 feet above the floor.

We are required to determine the angle of depression when the camera is directed to a spot 4 feet above the floor and 40 feet from the wall.

This can be represented diagrammatically as:

We can extract a triangle from the diagram above as follows:

From the right-angled triangle above, we have:

Finally, we can obtain the angle of depression as follows:

Hence, the angle of depression is 11.3°.

Answer:

4:5

Step-by-step explanation:

Binh's = 40

Davina's = 50

40:50 = 4:5

Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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Answer:

E

Step-by-step explanation:

Answer:

c plz mark brainliest.........

The answer is (a) $10,000.

The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:

Total Cost = Output x ATC

Total Cost = 200 x $50

Total Cost = $10,000

Therefore, the answer is (a) $10,000.

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Answer:

The answer is 3x + 17w - 18

The correct line plot which displays the data given is the third plot.

Given the data : 16, 15, 16, 16, 18, 16, 15

Value ____ Frequency

16 _________ 4

15 _________ 2

18 _________ 1

The correct line plot should have four dots on the Number 16 , 2 dots on the number 15 and 1 dot on the number 18.

Therefore, the correct line plot is the third plot .

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Answer: Let's assume that it takes Pam x minutes to give a haircut and y minutes to color hair.

From the information given, we can create two equations:

2x + y = 83 (Pam gave 2 haircuts and colored the hair of 1 client in 83 minutes)

1x + 3y = 164 (Pam gave 1 haircut and colored the hair of 3 clients in 164 minutes)

To solve for x and y, we can use elimination method or substitution method. Let's use substitution method.

From the first equation, we can solve for y in terms of x:

y = 83 - 2x

Substituting this into the second equation, we get:

1x + 3(83 - 2x) = 164

Simplifying and solving for x, we get:

x = 30

Substituting this value of x into either of the two equations, we can solve for y:

2(30) + y = 83

y = 23

Therefore, it takes Pam 30 minutes to give a haircut and 23 minutes to color hair.

Step-by-step explanation:

a. Expected Time and Variance Calculation: Calculate the expected time and variance for each task using the provided formulas.

b. Critical Path and Time: Draw the network diagram to find the critical path, which is A -> C -> E -> G.

c. Probability of Completing Critical Path in 23 Weeks: The probability of completing the critical path in 23 weeks is approximately 99.94%.

d. Deadline with 87% Certainty: The deadline for completing the critical path with 87% certainty is estimated to be around 20.66 weeks.

a. Expected Time and Variance Calculation:

To calculate the expected time and variance for each task, we will use the formula:

Expected Time (TE) = (Optimistic Time + 4 x Normal Time + Pessimistic Time) / 6

Variance (V) = ((Pessimistic Time - Optimistic Time) / 6)²

Task A:

TE(A) = (2 + 4 x 4 + 6) / 6

         = 4

V(A) = ((6 - 2) / 6)²

       = 0.44

Task B:

TE(B) = (3 + 4 x 5 + 9) / 6

         = 5

V(B) = ((9 - 3) / 6)²

         = 1.33

Task C:

TE(C) = (4 + 4 x 5 + 7) / 6

         = 5

V(C) = ((7 - 4) / 6)²

       = 0.11

Task D:

TE(D) = (4 + 4 x 6 + 10) / 6

         = 6

V(D) = ((10 - 4) / 6)²

       = 0.89

Task E:

TE(E) = (4 + 4 x 5 + 7) / 6

         = 5

V(E) = ((7 - 4) / 6)²

       = 0.11

Task F:

TE(F) = (3 + 4 x 4 + 8) / 6

         = 4

V(F) = ((8 - 3) / 6)²

       = 0.56

Task G:

TE(G) = (3 + 4 x 5 + 8) / 6

         = 5

V(G) = ((8 - 3) / 6)²

       = 0.56

b. Critical Path and Time:

To find the critical path and time, we draw the network diagram and identify the longest path.

The critical path consists of tasks with zero slack, meaning any delay in these tasks will directly impact the project's duration.

The critical path is A -> C -> E -> G.

c. Probability of Completing Critical Path in 23 Weeks:

To find the probability that the critical path will be completed in 23 weeks, we need to calculate the z-score using the formula:

Z = (Target Time - Expected Time) / √Variance

For the critical path:

TE(critical path) = TE(A) + TE(C) + TE(E) + TE(G)

                          = 4 + 5 + 5 + 5

                          = 19

V(critical path) = V(A) + V(C) + V(E) + V(G)

                        = 0.44 + 0.11 + 0.11 + 0.56

                        = 1.22

Z = (23 - 19) / √1.22

   ≈ 3.27

Using a standard normal distribution table or calculator, we find that the probability of completing the critical path in 23 weeks is approximately 0.9994 or 99.94%.

d. Deadline with 87% Certainty:

To determine the deadline with 87% certainty, we need to find the z-score corresponding to the desired probability. In this case, the desired probability is 0.87.

Z = InvNorm(0.87) ≈ 1.15

Using the z-score formula, we can calculate the deadline:

Deadline = Expected Time + (Z x √Variance)

Deadline = 19 + (1.15 x √1.22)

               ≈ 20.66 weeks

Therefore, with 87% certainty, the deadline for completing the critical path is approximately 20.66 weeks.

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In the following table task durations are given in weeks.

Activity     Predecessor    Optimistic    Normal  Pessimistic

A                  None                  2                  4                  6

B                  None                  3                  5                  9

C                  A                        4                  5                  7

D                  A                        4                  6                  10

E                  B,C                     4                  5                  7

F                  D                        3                  4                  8

G                  E                        3                  5                  8

Use the information to answer the questions:

a. Calculate the expected time and variance for each task

c. Find the probability that the critical path will be completed in 23 weeks?

b. Draw the network and find the critical path and time

d. Suppose you want to give your client a deadline you are 87% certain you can meet. What is that deadline?

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

Answer:  Wilhem

Step-by-step explanation:

Wilhem is correct because he did 32+8=40 and 40-190= 30 and if 30g=150, g will be 5 because you will divide 30 from both sides and 150/30=5.

Answer:

C

Step-by-step explanation:

x is 2 times as y is the pattern

The 90% confidence interval for the population mean is 78.1905<x<81.8095

The formula for calculating the confidence interval is expressed as:

CI = x ± z*s/√n

Given the following parameters

mean "x" = 80

z = 1.645

s = 5.5

n = 25

Substitute

CI = 80 ± 1.645*5.5/√25

CI = 80 ± 1.8095

CI = {78.1905, 81.8095}

Hence the 90% confidence interval for the population mean is 78.1905<x<81.8095

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