Round all the way 2689

Answers

Answer 1

Answer: 2689

rounded to the nearest tens = 2690
rounded to the nearest hundreds = 2700
rounded to the nearest thousands = 3000

If the number before the place it needs to be round off is 5 and above, then it is rounded up. If the number is 4 and below, it is rounded down.

For example:
2444

rounded to the nearest tens = 2440
rounded to the nearest hundreds = 2400
rounded to the nearest thousands = 2000

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A set of data has the following linear regression equation:= 1 + 3x

What does the equation predict for a value of x = 13?

A. y = 40
B. y = 38
C. y = 4
D. y = 9

Answers

We put in 13 as the value for x:

y = 1 + 3(13)

y = 1 + 39

y = 40

Ms. Scott wrote a test. Part A had true/false questions, each worth 6 points. Part B had multiple choice questions, each worth 4 points. She made the number ofpoints for Part A equal the number of points for Part B. It was the least number of points for which this was possible,
Answer the following questions.
How many points was each part worth?
points
How many questions did Part A have?
questions
How many questions did Part B have?
questions

Answers

Answer:

1. How many points was each part worth?

- 12 points

2. How many questions did part A have?

- 2 questions

3. How many questions did Part B have?

- 3 questions

Step-by-step explanation:

We can set up our equation like this:

6x = 4y

In the above equation, x is representing the number of true/false questions and y is representing the nymber of multiple choice questions.

Now, the problem tells us that they want the least number of points possible so we know we need to use low numbers.

Since 6 is higher than 4, it's easier to go off of there.

6 x 1 = 6 4 is too big to go into 6 so we will move on.

6 x 2 = 12 4 goes into 12 3 times so we can use this.

Now that we've figured this out, we can put it in our equation:

6(2) = 4(3)

In the above equation, we can see that I've put 2 in for x because we multiplied 6 by 2 to get 12. I also put 3 in for y because we multiplied 4 by 3.

Now we can start with the questions:

1. How many points was each part worth?

Each part was worth 12 points because we can multiply 6 by 2 and get 12 or 4 by 3 and get the same thing

2. How many questions did part A have?

Part A had 2 questions because this is what x was when we multiplied by 6

3. How many questions did Part B have?

Part B had 3 questions because this is what y was when we multiplied by 4

Hope this helps!!

Final answer:

Each part is worth 12 points. Part A has 2 questions. Part B has 3 questions.

Explanation:

The problem states that the number of points for Part A is equal to the number of points for Part B, and we need to find the least number of points for which this is possible. Let's represent the number of questions in Part A as x. Since each true/false question is worth 6 points, the total points for Part A will be 6x. Similarly, let's represent the number of questions in Part B as y. Since each multiple choice question is worth 4 points, the total points for Part B will be 4y. To find the least number of points for which the two parts are equal, we need to find the smallest common multiple of 6 and 4.

The prime factorization of 6 is 2 x 3.

The prime factorization of 4 is 2 x 2.

From the prime factorization, we can see that the least common multiple (LCM) of 6 and 4 is 2 x 2 x 3 = 12.

Therefore, each part is worth 12 points.

To find the number of questions in Part A and Part B, we can substitute 12 for the total points in each part and solve for x and y:

6x = 12

x = 2

4y = 12

y = 3

Learn more about Least Common Multiple here:

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Sammy pays 30$ for a bag that she buys at discount for 50% what is the price without the discount

Answers

It's just 50%off so all you do is 30 ×2 to get the original price so 30×2=60

PLEASE HELP LAST QUESTION

Answers

13,61,25,19,41
:) hope i could help :)

Systems of Equations:a boat traveled 210 miles downstream and back. the trip downstream took 10 hours. the trip back took 70 hours. what is the speed of the boat in still water? what is the speed of the current?

Need to show step by step. Thanks in advance.

Answers

$v_b-the\ speed\ of\ the\ boat\nv_c-the\ speed\ of\ the\ current\n\nv_b+v_c=(210)/(10)=21\ (mph)\n\nv_b-v_c=(210)/(70)=3\ (mph)\n\n +\left\{\begin{array}{ccc}v_b+v_c=21\nv_b-v_c=3\end{array}\right\n-----------\n.\ \ \ \ \ \ 2v_b=24\ \ \ \ /:2\n.\ \ \ \ \ \ \ \ \ v_b=12\ (mph)\n\n12+v_c=21\nv_c=21-12\nv_c=9\ (mph)$

$Answer:\nthe\ speed\ of\ the\ both\ is\ 12mph\nthe\ speed\ of\ the\ current\ is\ 9mph$

1.) A ladder is leaning against the side so that the distance on the ground betweenthe base and the house is 7 feet.
If the ladder is 15 feet long, then what is the angle at which the ladder is leaning?

Answers

The angle at which the ladder is leaning is 62.18°.

What is trigonometry?

Trigonometry is the branch of mathematics that deals with calculating the angles of triangles or the lengths of their sides. It mainly concerned on the properties of right angled triangle.

For the given situation,

The length of the ladder = 15 feet

The distance between the house and the ladder base = 7 feet

The angle at which the ladder is leaning can be found by using trigonometric ratio, cos θ.

we know that, $cos$ θ = $(Base)/(Hypotenuse)$

The figure below shows the relationship between the sides.

⇒ $cos$ θ = $(7)/(15)$

⇒ θ = $cos^(-1)((7)/(15) )$

⇒ θ = $62.18$

Hence we can conclude that the angle at which the ladder is leaning is 62.18°.

Learn more about trigonometry here

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Answer:

62.182°

Step-by-step explanation:

Using cos and sin you are able to find the height of the ladder from the bottom of the house to the place the top of the ladder is. You can do this by making a triangle. By using the lengths and angles already present you are able to find all angles of the triangle.

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