How would I use the distributive property to rewrite (9-p)3 and then simplify?

Answers

Answer 1
Answer: 1.To make it easier, you can rewrite the 3 to the other side!
3(9-p)
2.To distribute, you just take the term on the outside of the parentheses and multiply it with each term on the outside (seperately)
3 * 9 = 27
3 * -p = -3p
3. This would leave you with the following equation...rewrite it with the letters first.
-3p + 27 or 3p - 27
either way works!

Answer 2
Answer: do 9 times 3 and -p times 3. when you simplify you should get 27-3p

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What is the solution to the equation? 4y – 12 = –4 A. y = 11 B. y = 2 C. y = –4 D. y = –13

Answers

Hi There!

What is the solution to the equation? 4y – 12 = –4 A. y = 11 B. y = 2 C. y = –4 D. y = –13

Answer:y=2


First simplify 
4y+-12=-4
Reorder the terms: 
-12+4y=-4
Move all terms containing "y" to the left, all other terms to the right.

Add 12 to each side of the equation:
 -12 + 12 + 4y = -4 + 12 

Combine like terms:
 -12 + 12 = 0
0 + 4y = -4 + 12
4y = -4 + 12
Combine like terms:
-4 + 12 = 8
4y = 8
Divide each side by '4'.
 y = 2

So your answer is B Y=2 
hope this helped 


ramal filled 3 pages in a stamp album. this is one sixth of the pages in the ablum. how many pages are there in ramals stamp album

Answers

There are 18 pages in all. Since 1/6 if the album is 3 pages, you just multiply 3 by 6, and you will get 18.

What number goes on top

Answers

33 goes on top.

33 goes on top because the number adjacent to a box at the bottom is added up to make the box above it that overlaps it. 3+4=7, 7+9=16, and 16+17=33.

Final answer:

In mathematics, the number that goes on top is typically the numerator in a fraction. It represents the number of parts we have or the value we are considering. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.

Explanation:

In mathematics, the number that goes on top is typically the numerator in a fraction. In a fraction, the numerator represents the number of parts we have or the value we are considering. The denominator, which goes on the bottom, represents the total number of equal parts that make up a whole.

For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator. This means we have 3 out of 4 equal parts.

So, depending on the context, the number that goes on top could be the numerator in a fraction or the value we are considering in a mathematical expression.

Learn more about Mathematics here:

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What is the solution for the following system of equations? Use ANY method to solve. 2x + 8y = 4 x = -3y + 5 Question 4 options: x = 14, y= -3 x = 2, y = -3 x = -3, y = -3 x = 12, y = 5

Answers

Answer:

x = 14, y= -3

Step-by-step explanation:

Solve the following system:

{2 x + 8 y = 4 | (equation 1)

{x = 5 - 3 y | (equation 2)

Express the system in standard form:

{2 x + 8 y = 4 | (equation 1)

{x + 3 y = 5 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + 8 y = 4 | (equation 1)

{0 x - y = 3 | (equation 2)

Divide equation 1 by 2:

{x + 4 y = 2 | (equation 1)

{0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:

{x + 4 y = 2 | (equation 1)

{0 x+y = -3 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{x+0 y = 14 | (equation 1)

{0 x+y = -3 | (equation 2)

Collect results:

Answer:  x = 14, y = -3

Call the three angles of a triangle ∠1,∠2,∠3The measure of ∠2 is forty degrees less than that of ∠1; the measure of ∠3 is ten degrees less than twice that of ∠1If x is the measure of ∠1, then which of the following equations would we need to solve in order to calculate the measures of the angles?

Answers

Answer:

             57.50° is the measure of ∠1.

              17.50° is the measure of ∠2.

              105° is the measure of ∠3.

Step-by-step explanation:

Given that,

     x is the measure of ∠1.

Now,

      The measure of ∠2 is forty degree less than that of ∠1, so (x-40) is the measure of ∠2.

      The measure of ∠3 is ten degree less than twice that of ∠1, so (2x-10) is the measure of ∠3.

So,

     According to Angle sum property,

   Sum of the measures of the three angle of triangle is 180°.

Now,

        ∠1 + ∠2 + ∠3 = 180°

        (x) + (x-40) + (2x-10) = 180°

        4x - 50 = 180°

        4x = 230°

        x = 57.50°

So,

   57.50° is the measure of ∠1.

   17.50° is the measure of ∠2.

   105° is the measure of ∠3.

Vicki measured the midnight temperatures in 4 locations in Alaska. The temperatures were -7, -2, 1, 4. What is the mean absolute deviation of the temperatures?

The mean is -1

Answers

1. Find the mean of the data: (-7 -2 + 1 + 4)/4 = -1

2. Find the absolute value of differences between each data an the mean:

1) |-7 -(-1)| = |-7 + 1| = |-6| = 6
2) |-2-(-1)| = |-2+1| = |-1| = 1
3) |1 -(-1)| = |1+1| = |2| = 2
4) |4 -(-1)| = |4+1|=|5|=5

3) Calculate the mean of those differences:

( 6 + 1 + 2 + 5) / 4 = 14/4 = 3.5