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Answer:

(3a +6b) (9a² - 18ab + 36b²)

Step-by-step explanation:

27 = 3 * 3 * 3 = 3³

216 = 6 * 6 * 6 = 6³

a³ + b³ = (a + b)(a² - ab + b²)

27a³ + 216b³ = (3a)³ + (6b)³

                      = (3a + 6b)( (3a)² - 3a*6b + (6b)² )

                      = (3a +6b) (9a² - 18ab + 36b²)

Answer: A

The number of distinctive prime factors in Column A is 60.

The number of distinctive prime factors in Column B is 30.

This number is 1/2 half more prime factors.

There is 30 more prime factors, so the answer is A.

The quantity in column A is larger than column B.

Answer:

[tex]x=\pm5[/tex]

Step-by-step explanation:

First, add 75 to each side.

[tex]3x^2-75+75=0+75\\3x^2=75[/tex]

Next, divide each side by 3.

[tex]x^2=25[/tex]

Now, you can take the square root.

[tex]x = \pm\sqrt25}[/tex]

[tex]x=\pm 5[/tex]

Answer:

There were 69 students in advanced math and 184 students in regular math before the placement tests

Step-by-step explanation:

The correct question

At the beginning of 6th grade, the ratio of the number of advanced math students to the number of regular math  students was 3:8. However, after taking placement tests, students were moved around changing the ratio of the  number of advanced math students to the number of regular math students to 4:7. How many students started in  regular math and advanced math if there were 92 students in advanced math after the placement tests?

Let

x ----> the number of advanced math students

y ----> the number of regular math students

we know that

At the beginning of grade 6

----> equation A

After taking placement tests

----> equation B

----> equation C

Remember that

The total number of students at the beginning of grade 6 is the same that the number of students after taking placement tests

step 1

Find out the total number of students  after taking placement tests

we have

----> equation B

----> equation C

substitute the value of x in equation B and solve for y

The total number of students  after taking placement tests is

step 2

Find out how many students started in  regular math and advanced math

we have that

At the beginning of grade 6

----> equation A

-----> equation  D

Solve the system of equations by graphing

The solution is the intersection point both graphs

using a graphing tool

The solution is the point (69,184)

see the attached figure

therefore

There were 69 students in advanced math and 184 students in regular math before the placement tests

Answer:

:o

Step-by-step explanation:

Answer:

12/25 (0.48 in decimal form)

Step-by-step explanation:

3/5 divided by 1 1/4

Make 1 1/4 an improper fraction:

1 1/4 = 5/4

Now we flip 5/4 (the second fraction) when we divide and then multiply it by the first fraction.

Our equation now:

3/5 x 4/5

After multiplying across, you get 12/25 (0.48 in decimal form).

Hope this helps!

Answer:

5(x + 3) = 3x - 4

=> (5 * x ) + (5 * 3) = 3x - 4

=> 5x + 15 = 3x - 4

=> 5x = 3x - 4 - 15

=> 5x - 3x = -4 - 15

=> 2x = -19

=> x = -19/2

=> x = -9.5

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Answer:

[tex]by \:alternate \: interiar \: angle \: \\ (8y + 2) + (25y - 20) = 180 \\ 8y + 2 + 25y - 20 = 180 \\ 33y - 18 = 180 \\ 33y = 180 + 18 \\ 33y = 198 \\ y = 6 \\ \\ now \\ by \: \: linear \: pair \: \\ 10x + 8y + 2 = 180 \\ 10x + 48 + 2 = 180 \\ 10x = 180 - 50 \\ 10x = 130 \\ x = 13[/tex]

Answer:

we need to see the problem

Step-by-step explanation:

try sending a picture

7/4 ÷ (3/2)

=7/4 × (2/3)

=(7×2)/(4×3)

=14/12

=(14÷2)/(12÷2)

=7/6

=1 1/6

Answer: (8, 0)

Step-by-step explanation:

X intercept is when y = 0

[tex]x+4*0=8\\x=8[/tex]

Answer:

122

Step-by-step explanation:

Answer:

B = 10

Step-by-step explanation:

5B + 6 + 4B - 6 = 90

9B + 0               = 90

Therefore,      B = 10

Answer:

It would be larger than

Step-by-step explanation: hope this helps

Step-by-step explanation:

20n 20394848484848575

The impulse on the body is 20 kg-m/s, the final speed of the body is 2m/s, and the distance covered within the time interval is 0.5m.

Force is the strength applied on an object with mass to change its state of motion.

The mass of the body is 10kg.

The force applied on the object is 40N.

The time for which the force is applied is 0.5 sec.

The impulse on the body is calculated by,

Impulse =  Force * Time

Impulse = 40 * 0.5

Impulse = 20 kg-m/s

The final speed of the body is given by

v = u + at

Assuming the initial speed = 0

v = at

Acceleration =  Force / mass

Acceleration = 40/10

a = 4 m/s²

v = 4 * 0.5

v = 2 m/s

The distance covered within the time interval is given by,

s = ut + (1/2) at²

s = (1/2) at²

s = (1/2) 4 * 0.5 *0.5

s = 0.5 m

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Answer:

4.2 gigabytes

Step-by-step explanation:

To find the answer, you need to write an equation where the cost of Carolina Cell is equal to the cost of Sanford Cell:

20.79+2x=22.89+1.50x, where x is the number of gigabytes used.

Now, you can solve for x:

2x+1.50x=22.89-20.79

0.5x=2.1

x=2.1/0.5

x=4.2

According to this, the answer is that both plans would cost the same  when 4.2 gigabytes are used.

Answer:

- 3000 feets

Step-by-step explanation:

Given that:

Elevation at the summit of Mount Washington = 6288 ft

Elevation of Carter Notch Hut = 3,288 feets

The change of elevation in feets on the hike from summit to Carter Not hut:

Difference in elevation:

Summit at Mount Washington - Carter notch hut

6288 ft - 3288 ft

Change in elevation. = 3000 fts

Since the change decreased from 6288 to 3288, the elevation is downward and hence, negative = - 3000 feets

Answer:

b

Step-by-step explanation:

Answer:

test score of new student = 43

Step-by-step explanation:

28 x 72 = 2016 (total points class scored)

29 x 71 = 2059 (total points class scored after student joined)

2059 - 2016 = 43

The test score of the student who joined the class is 43.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The mean test score of 28 students is 72.

A student joins the class and the mean becomes 71.

We have to find the test score of the student who joined the class.

28 x 72 = 2016

29 x 71 = 2059 (total points class scored after student joined)

The difference between 2016 and 2059 is the test score of new student.

2059 - 2016 = 43

Hence, the test score of the student who joined the class is 43.

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Answer:

$4.5

Step-by-step explanation:

I'm gonna do my work on paper.

Given :

The ratio of the number of adults to the number of students at a field trip has to be 3:8.

During a current field trip, there are 190 more students on the trip than there are adults.

To Find :

How many students are attending the field trip? How many adults?

Solution :

Let, number of adults are x.

So, number of students are x + 190.

We know :

[tex]\dfrac{x}{x+190}=\dfrac{3}{8}\\\\8x = 3(x+190)\\\\8x -3x = 570\\\\5x = 570\\\\x = 114[/tex]

Number of students are 114 and number of adults are 114+190 = 304.

Hence, this is the required solution.

Answer:

8 Is correct on EDGE 2020

Step-by-step explanation:

Just took the test and got it right

The question was incomplete. Below you will find the missing content.

The questions on the first section on a test value 3 points and the questions in the second section carries 5 points. if sydney answer 15 questions in the first section correctly what is the minimum number of questions she must have answered correctly in the second section.And the maximum points she scored is 80.

Answer:

Sydney must have answered at least 8 answers in the second section.

Concept

What is Inequality?

Inequality is a condition which compare algebraic expression using greater than(>), less than(<) symbols. It also shows values greater than equal to(≥), less than equal to(≤) and not equal to(≠) signs to solve the equation.

Therefore the inequality representing her score is 3x + 5y > 80

Solution:

Following  the inequality  3x+5y>80, 3x  represents  sydney's  score in the first section which is equal to 3ₓ15 = 45

Now she needs to solve 8 questions in the second section to score            

5 ₓ 8 = 40 for the inequality to be maintained.

i.e 3 ₓ 15 + 5 ₓ 8 > 80

45 + 40 > 80

85 > 80

If she solves 7 questions in the second section then the total score will be 45 + 45 ⊅ 80

Therefore sydney answers 8 questions correctly in the second section.

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Answer:

k = 3

Step-by-step explanation:

Given

4.5 + 1.5k = 18 - 3k ( add 3k to both sides )

4.5 + 4.5k = 18 ( subtract 4.5 from both sides )

4.5k = 13.5 ( divide both sides by 4.5 )

k = 3

Answer:

[tex]k=3[/tex]

Step-by-step explanation:

[tex]4.5+1.5k=18-3k[/tex]

Subtract 4.5 to both sides

[tex]15k=13.5-3k[/tex]

Add 3k to both sides

[tex]4.5k=13.5[/tex]

Divide both sides by 4.5 to get k alone

[tex]\frac{4.5k}{4.5} =\frac{13.5}{4.5}[/tex]

[tex]k=3[/tex]

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Answer:

We Subtract

Her weight on her third birthday = 36.94 pounds

Step-by-step explanation:

Does this mean to add or subtract? This means we add. The operation we are using is SUBTRACTION

Leslie GAINED 5.54 pounds between her third and fourth birthdays.

This means she added weight

She weighed 42.48 pounds on her Fourth birthday

Hence, Her weight in her third birthday is:

Third birthday + 5.54 pounds = 42.48

$42.48

Third birthday = 42.48 - 5.54

= 36.94 pounds

Her weight on her third birthday = 36.94 pounds.

Answer:

3 to the 3rd power

Step-by-step explanation:

Answer:

$2.14

Step-by-step explanation:

x =  price

24x+(x+16) = 53.5

25x+16 = 53.5

25x+53.5

x=53.5/25=2.14

Answer:

C. -19

Step-by-step explanation:

take 2 plug it into g(x)=-x^2 that gives you -4 take that number and plug it into f(x)=3x-7 that gives you -19

Answer:

C) -19

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 7

g(x) = -x²

Step 2: Find g(2)

g(2) = -(2)²

g(2) = -4

Step 3: Find f(g(2)) or f(-4)

f(-2) = 3(-4) - 7

f(-2) = -12 - 7

f(-2) = -19

Answer:

4 + x²

Step-by-step explanation:

Given problem:

    4 more then a number squared

Problem:

  Give the expression form;

Solution:

  Let the number x;

So;

   4 more than x squared:

          4 + x²

Answer:

10

Step-by-step explanation:

you use the Pythagorean theorem which you do 24^2 + b^2 = 26^2 you should have 576+b^2=676 then subtract 576 on both sides b^2=100 then sqre root which leaves you with b=10

Answer:

Step-by-step explanation:

ON THE FIRST DAY, SHELLY RODE 12 MILES

Answer:

I'm sorry but I don't know how to do function notation. I'm so sorry that I couldn't help you with this.