Explain the math used to create the equation in Step 2 from Step 1.
STEP 1: 6 (2p - 9) + 20 = 8p + 2
STEP 2: 12p - 54 + 20 = 8p + 2
Please help me solve this !!

Answers

Answer 1
in order to get to step two, the 6 was distributed

Related Questions

I need this please help me

Answers

9514 1404 393

Answer:

  B, C, D

Step-by-step explanation:

In this diagram, all of the acute angles are congruent. Those are angles 2, 4, 6, and 75°. Similarly, all of the obtuse angles are congruent. They are supplementary to the acute angles, so we have angles 1, 3, (x-15)°, and 5 all have measure 180° -75° = 105°.

This means x = 105° +15° = 120°.

The true statements are ...

  B. angle 2 = angle 6

  C. x = 120°

  D. angle 1 and angle 6 are supplementary

find 3 rational numbers between 1/3 and 1/2​

Answers

Three rational numbers between 1/3 and 1/2 making the denominator same: 1/3=8/24(equivalent fraction) 1/2=12/24(also equivalent fraction). Three rational numbers between 8/24 and 12/24 are: 9/24,10/24,11/24. Hope this helps!

A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be computed from a sample of size 100 drawn from the same population. Choose the best answer to fill in the blank: The interval from the sample of size 400 will be approximately _____ as the interval from the sample of size 100.

Answers

Answer:

A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be computed from a sample of size 100 drawn from the same population. Choose the best answer to fill in the blank: The interval from the sample of size 400 will be approximately _______as the interval from the sample of size 100.

2x2 - 32 = 0 solve in factored form

Answers

Answer:

2(x - 4)(x + 4) = 0

x = {-4, 4}

Step-by-step explanation:

2x² - 32 = 0

factor out 2

2(x² - 16) = 0

This is a difference of squares

Factor

2(x - 4)(x + 4) = 0

x = {-4, 4}

Answer:

Step-by-step explanation:

Hope it helps you!!

1. The shape shown below is dilated by a scale factor of 2.6. It is in the attachment that was included.

(a) Calculate the length of each side of the dilated image.
(b) Draw the new image and label it .

Answers

Answer:

L' = 26cm

W' = 39cm

Step-by-step explanation:

a) Given the dimension of the shape;

length L = 10cm

Width W = 15cm

After dilating by a scale factor os 2.6

New length L' = 2.6(10) = 26cm

New width = W' = 2.6(15) = 39cm

Hence the length of each sides of the dilated image are 26cm and 39cm

b) The new image will be similar to the given image but of with the resulting length gotten in (a).

Find the mean ,median and mode of the weights of people shown

Answers

Answer:

[tex](a)\ Mean = 80kg[/tex]

[tex](b)\ Median = 76kg[/tex]

[tex](c)\ Mode = 61kg[/tex]

Step-by-step explanation:

Given

[tex]Data:105kg, 53kg ,76kg ,91kg ,120kg ,61kg ,55kg ,98kg ,61kg[/tex]

[tex]n = 9[/tex]

Solving (a): The mean

This is calculated using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{105kg+53kg +76kg +91kg +120kg +61kg +55kg +98kg +61kg}{9}[/tex]

[tex]\bar x = \frac{720kg}{9}[/tex]

[tex]\bar x = 80kg[/tex]

Hence:

[tex]Mean = 80kg[/tex]

Solving (b): The median

[tex]Data:105kg, 53kg ,76kg ,91kg ,120kg ,61kg ,55kg ,98kg ,61kg[/tex]

Arrange in ascending order

[tex]Data: 53kg ,55kg, 61kg ,61kg,76kg ,91kg ,98kg , 105kg,120kg[/tex]

[tex]n = 9[/tex]

So, the position of the median element is:

[tex]Median = \frac{n+1}{2}th[/tex]

[tex]Median = \frac{9+1}{2}th[/tex]

[tex]Median = \frac{10}{2}th[/tex]

[tex]Median = 5th[/tex]

The 5th element is 76kg

Hence:

[tex]Median = 76kg[/tex]

Solving (c): The mode

In the given data

[tex]Mode = 61kg[/tex]

Because it has a frequency of 2 (the highest), others have 1

Someone please help me thank you

Answers

P = 20.6, I hope this helps you!!!!!

Using the sine rule, a/sin(A) = b/sin(B) = c/sin(C)

But we have to have at least two angles and two lengths to equate it to one another. We could find the third angle in this triangle to use as our second angle, but we do not know the value of x, so we have to find the second length.

To do that, we use Pythagoras theorem;

a^2 = b^2 + c^2

a^2 = 7^2 + 5^2

a^2 = 49 + 25

a^2 = 74

square root both sides to get rid of the square on a:

a = sqrt(74)

a ~ 8.60

Now we can apply our sine rule. Note that the lengths and angles are the ones opposite each other. For example, the corresponding angle of 8.60 is 90° and the one for 5 is x°.

So,

8.60/sin(90) = 5/sin(x)

8.60/1 = 5/sin(x), since sin(90) = 1

Make sin(x) the subject,

sin(x) = 5/8.60

sin(x) = 0.5814

x = sin^-1(0.5814)

x ~ 35.6°

a line segment with endpoints A = (3, 0) and B = (7,0). Then, plot all points
C = (x, y) such that the triangle ABC has an area of 12 square units.
What geometric formula and theorem are needed to solve this problem?

Answers

Answer:

C(0,6)

Step-by-step explanation:

1) find the length of the base of the triangle

AB = 7-3 = 4

2) find the the height of the triangle

A = (base x height)/2

A x 2 = base x height

height = (A x 2)/base

height = (12 x 2)/4 = 6

3) find the equation of the line that passes threw the points AB

the two points have the same y so the equation of the line is

y = 0

4) use the formula of the distance between a point and a line to find C

|ax+by+c|/√a^2 + b^2 = distance

x = 0  

y = 6

C (0,6)

Albert has 10 red beads, and he has 5 fewer yellow beads than red beads. Albert also has 4
more green beads than red beads. How many beads does Albert have in all?
beads
HELPPP FACTUAL ANSWER

Answers

Answer:

29 beads

Step-by-step explanation:

Red beads: 10

Green beads: 10 - 5 = 5

Yellow beads: 10 + 4 = 14

Add, 10 + 5 + 14 = 29

Albert has 29 total beads

Have a wonderful day! :)

Need help lol. last day to turn this in and failing by 1 point please help

Answers

m1=35°
m2=65°
m3=29°
m4=115°
m5=65°
m6=36°
m7=144°

Three years ago the sum of the ages of father and his son was
48 years and three years hence father's age will be three times
that of his son. Find the present ages of the father and his son.​

Answers

Answer:

The father is 42 years old and the son is 12 years old.

Step-by-step explanation:

Since three years ago the sum of the ages of father and his son was 48 years, and three years hence father's age will be three times that of his are his, to find the present ages of the father and his are his, the following calculations must be performed:

F + S = 48

F + 6 + S + 6 = 3S

34 + 14 = 48 /// 34 + 6 = 40 --- 14 + 6 = 20 (x 3 = 60)

38 + 10 = 48 /// 38 + 6 = 44 --- 10 + 6 = 16 (x 3 = 48)

40 + 8 = 48 /// 40 + 6 = 46 --- 8 + 6 = 14 (x 3 = 42)

39 + 9 = 48 /// 39 + 6 = 45 --- 9 + 6 = 15 (x 3 = 45)

39 + 3 = 42

9 + 3 = 12

Therefore, the father is 42 years old and the son is 12 years old.

(5p^3 - 3) +(2p^2-3p^3)=​

Answers

Answer:

4p^3-3 jejeieooejejenjekeoeoeo

A teaspoon of salt has a mass of 6 grams what is its mass in milligrams

Answers

Answer:

6000 milligrams

Step-by-step explanation:

trust

HELP pls

which of the above solids has the larger surface area

Answers

Answer:

B. solid B

Step-by-step explanation:

solid a surface area: 150

solid b surface area: 184

Answer:

mmmmm

Step-by-step explanation:

The submarine is 217 feet below sea level. Identify the integer
that represent the opposite of its location and its absolute value.

Answers

Answer:

okay

Step-by-step explanation:

PLEASE HELP MATH QUESTION 99 POINTS HELP ASAP PLEASE
LOOK AT LINKED IMAGE FOR QUESTION.

Answers

Answer:

Graph A. not a function

Graph B. is a function

Mapping A. is a function

Mapping B. not a function

Table A. not a function

Table B. is a function

Answer:

a graph. not a function

b graph.function

a table. not a function

b table. function

maaping a. function

mapping b. not a function

Step-by-step explanatio n:

mark me brainelst plz

how many odd integers are between −20/3 and 51/4

Answers

Answer:

-20/3 = -6.666

51/4 = 12.some

Odd integers between -6.66 to 12..

= -5,-3,-1,1,3,5,7,9,11

:)

The odd integers in between−20/3 and 51/4 are -5,-3,-1,1,3,5,7,9,11 so it is nine.

What is an integer?

An integer is a whole number irrespective of the sign that the integer is all whole numbers that are going from 0 to infinite or 0 to minus infinite.

Integer ; ....-2 , -1 , 0 , 1 , 2 , .....

Integers are non-decimal numbers and all integers are rational numbers.

Given the two numbers,

−20/3 = -6.67

51/4 = 12.75

So integers in between −20/3 and 51/4 are ;

-5,-4,-3,-2,-1,1,2,3,4,5,6,7,8,9,10,11,12

Now odd integers out of them are;

-5,-3,-1,1,3,5,7,9,11

Hence "The odd integers in between−20/3 and 51/4 are -5,-3,-1,1,3,5,7,9,11 so it is nine".

To learn more about integers,

brainly.com/question/1768254

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A cylinder has a height of 3 meters and a radius of 5 meters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

141.37 m^2

Step-by-step explanation:

V = (pi)r^2h

V = (3.14)(3 m)^2(5 m)

V = 141.37 m^2

How can you get a good credit score?
Pay credit card and loan payments late.
Don't apply for credit.
Pay your loan payments on time, every time.
Go above your credit limit.

Answers

Answer:

Pay your loan payments on time, every time.

Step-by-step explanation:

The other answers either hurt or have no effect on your credit score.

The option 2 and 3 is right get a good credit score. Avoid the options 1 and 4.

To get a good credit score, you should follow these steps:

Pay your loan payments on time, every time: Timely payments are one of the most crucial factors in building a good credit score. Consistently paying your bills and loans on or before the due date shows lenders that you are a responsible borrower.

Don't apply for credit excessively: Each time you apply for new credit, a hard inquiry is made on your credit report, which can temporarily lower your score. Applying for multiple credit accounts in a short period may signal financial instability to lenders.

Avoid options 1 and 4:

Paying credit card and loan payments late: Late payments negatively impact your credit score and show a lack of responsibility in managing credit.

Going above your credit limit: Maxing out your credit cards or going above the credit limit can harm your credit score as it indicates a higher risk of defaulting on your debts.

Hence, the option 2 and 3 is right get a good credit score. Avoid the options 1 and 4.

Learn more about Loan here:

https://brainly.com/question/11794123

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Round to the nearest tenth

Answers

Answer:

22.5

Step-by-step explanation:

13 square root 3 equals that

VX
Which point is located at (0.25,-05)?
X
point A
point C
point R

Answers

Answer:

C

Step-by-step explanation:

The scale on both the x and y axes has 1 unit divide into 4 parts.

Then 1 part is one quarter of 1 , that is 0.25 and 2 parts = 0.5

The point with coordinates (0.25, - 0.5 ) is point C

The perimeter of the polygon above

Answers

the perimeter would be 34 cm

Using the extreme value theorem, what are the
minimum and maximum values of f(x)?
O minimum value = 1; maximum value = 6
O minimum value = 2; maximum value = 6
minimum value = -1; maximum value = 3
O minimum value = -2: maximum value = 3

Answers

Answer:

A

Step-by-step explanation:

Edge

The option A, O minimum value = 1; maximum value = 6 is correct.

We have given that,

Using the extreme value theorem, what are the minimum and maximum values of f(x).

What is the extreme value theorem?

Extreme Value Theorem An important application of critical points is in determining possible maximum and minimum values of a function on certain intervals.

Therefore, The option A, O minimum value = 1; maximum value = 6 is correct.

To learn more about the extream value theorem visit:

https://brainly.com/question/25870256

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One criticism of reading comprehension tests is that while they may measure reading comprehension, they also measure other factors not related to reading comprehension. A reading comprehension (RC) test on a major college entrance exam provides short English prose passages, and the examinees answer a set of multiple-choice items about the passage. To see if particular items measure something other than RC, investigators gave the RC test without the reading passages to a random sample of psychology students. The investigators reasoned that if questions were measuring knowledge or memory rather than just RC, students would answer questions at a higher rate than chance (20%, since there were 5 choices for each question).
Suppose that on one question, 30 out of 100 examinees answered the question correctly. Is this sufficient evidence that students are using more than just reading comprehension to answer this question? Test the relevant hypothesis using alpha = .05

Answers

Answer:

The p-value of the test is 0.0062 < 0.05, which means that this is sufficient evidence that students are using more than just reading comprehension to answer this question

Step-by-step explanation:

The investigators reasoned that if questions were measuring knowledge or memory rather than just RC, students would answer questions at a higher rate than chance (20%, since there were 5 choices for each question).

This means that at the null hypothesis, we test that the proportion is the probability of answering correctly by change, that is 20%. So

[tex]H_0: p = 0.2[/tex]

At the alternate hypothesis, we test that the proportion is above 20%, that is:

[tex]H_a: p > 0.2[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.2 is tested at the null hypothesis:

This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8} = 0.4[/tex]

Suppose that on one question, 30 out of 100 examinees answered the question correctly.

This means that [tex]n = 100, X = \frac{30}{100} = 0.3[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.3 - 0.2}{\frac{0.4}{\sqrt{100}}}[/tex]

[tex]z = 2.5[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.3, which is 1 subtracted by the p-value of z = 2.5.

Looking at the z-table, z = 2.5 has a p-value of 0.9938

1 - 0.9938 = 0.0062

The p-value of the test is 0.0062 < 0.05, which means that this is sufficient evidence that students are using more than just reading comprehension to answer this question

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Question 4
10

Answers

Answer:

um what

Step-by-step explanation:

What is the linear function equation that best fits the data set?
ŷ = x – 2
ŷ = 4x – 11
ŷ = 2x – 2
ŷ = 4x – 2

Answers

Answer:

Option 3

Step-by-step explanation:

Given data set is,

{(1.5, 1), (2.5, 3), (3, 3), (3, 5), (3.5, 5), (4.5, 7), (5, 7), (5, 9), (5.5, 9), (6.5, 11), (7.5, 13)}

By using linear regression calculator,

Equation of the linear function will be,

y = 2x - 2

Therefore, Option 3 will be the correct option.

Gracie had a round slice of watermelon she and her sister shared the slice equally how much did each girl eat?

Answers

Answer: They both ate (half) 1/2 of the watermelon

Explanation: going based off that the watermelon is round and is split evenly the only way to equally share it is if it was split in half or 1/2

What is the area of this
irregular shape?
.6 ft
square feet
3 ft
8 ft
16 ft

Answers

Answer:

Step-by-step explanation:

area=16×8+1/2×3×6

=128+9

=137 sq. ft.

Find the value of x.

Answers

Answer:

143

Step-by-step explanation:

I think it’s 143 sorry if I’m wrong!!


Which ordered pair is a solution of the linear system: x+2y=-8 and
-4x+y=5? *
O A. (-2-3)
OB.(2-3)
C. (-3,-2)
D. (-1,0)



HELP ASAPPPPPP

Answers

Answer:

option A

A(-2,-3)

Step-by-step explanation:

make y subject of formula

x+2y=-8

2y=-8-x

y=(-8-x)/2

y=-4-x/2

when x=-2

y=-4-(-2)/2

=-4-(-1)

=-4+1

=-3

(-2,-3) is an ordered pair

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