Which of the following terms have a GCF of 6x^3? Select two options. 12p^3r 27p^4q 45p^3q^6 54p^3 63p^3q^6

Answer:

The ticket is bought for 28 students.

Step-by-step explanation:

It is given that the teacher is going to buy museum ticket for each students.

Total money spent = $182

Price of each ticket = $6.50

Let total number of tickets bought = [tex]x[/tex]

We know that to find the total amount of money spent on ticket, we can add price of each ticket (i.e. $6.50) [tex]x[/tex] number of times.

OR

In other words, simply multiply the number of tickets with price of each ticket to find the total money spent.

Total money spent = [tex]x \times 6.50[/tex]

We know that total money spent is $182.

[tex]\Rightarrow x \times 6.50 = 182\\\Rightarrow x = \dfrac{182}{6.50}\\\Rightarrow x = 28[/tex]

The ticket is bought for 28 students

Answer:

x = 2 , y = 4

Step-by-step explanation:

If a quadrilateral has diagonals which bisect each other, then it is a parallelogram.

From the parallelogram we see:

2x = y

y = 2x

Substitute y = 2x in 2(y) - 2 = 6, gives:

2(2x) - 2 = 6

4x = 6 +2

x =2

Substitute x = 2 in y = 2x, gives:

y = 2(2)

y = 4

So x = 2 , y = 4

Answer:

Step-by-step explanation:

AP = 8, 24 , 40....

a = 8 , d =16 , n =98 , An = ?

an= a +(n-1)d

an = 8+97*16

an=8+1552

an=1560

hope it helps you..

The 98th term of the arithmetic sequence ( 8, 24, 40, . . . ) is 1560 ( One thousand five hundred and sixty ).

An arithmetic sequence is simply a sequence of numbers in which the difference between the consecutive terms is constant.

The nth term is an arithmetic sequence is expressed as;

aₙ = a₁ + ( n - 1 )d

Where aₙ is the nth term, a₁ is the first term in the sequence and d is the the common difference between terms.

Given the data in the question;

We substitute our given values into the expression above.

aₙ = a₁ + ( n - 1 )d

a₉₈ = 8 + ( 98 - 1 )16

a₉₈ = 8 + ( 97 )16

a₉₈ = 8 + 1552

a₉₈ = 1560

Therefore, the 98th term of the arithmetic sequence ( 8, 24, 40, . . . ) is 1560 ( One thousand five hundred and sixty ).

Learn more about arithmetic sequence here: https://brainly.com/question/15412619

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Answer: 187.5 tons of cement

Step-by-step explanation:

From the question, Sadie's Road Paving Company used 750 tons of cement to pave 4 miles of roadway. To calculate the number of cement on average that the company use per mile, we divide 750 tons of cement by 4 miles. This will be:

= 750 tons of cement/4

= 187.5 tons of cement

The company used 187.5 tons of cement per mile.

Answer: The company used 187.5 tons per mile.

Step-by-step explanation:

Hi, to answer this question we simply have to divide the amount of cement used (750 tons) by the miles that the company pavemented (4 miles):

Mathematically speaking:

750 t / 4 m = 187.5 tons per mile

The company used 187.5 tons per mile.

Feel free to ask for more if needed or if you did not understand something.

Answer:

Step-by-step explanation:

2m

______

2

______ X 0m X 0

1

= 0

Answer:

C

Step-by-step explanation:

this is quite confusing

Answer:

[tex]256cm^2[/tex]

Step-by-step explanation:

Calculate the area of the two triangles first: 6 * 16 = 96

Then the rectangle: 10 * 16 = 160

160 + 96 = 256

Answer:

y = 2/5x+2

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

    = (4-2)/(5-0)

    =2/5

The y intercept is 2

The slope intercept form is y = mx+b

where m is the slope and b is the y intercept

y = 2/5x+2

Answer:

y = mx + c

1) find the gradient, m

[tex]m = \frac{4 - 2}{5 - 0} [/tex]

[tex]m = \frac{2}{5} [/tex]

2) find value of y-intercept, c

from the graph, c = 2

2) use the formula y=mx+c

y = mx + c

y = 2/5x + 2

the answer is A

Answer:

B= 55°

Step-by-step explanation:

A+B+C= 180°

90°+B+35°=180°

B= 55°

Answer:

8

Step-by-step explanation:

X=8 bc 8-3=5

Answer:

6m

Step-by-step explanation:

the side of first square = 3 m

area of first square = 3^2= 9 m^2

let the side of second square = x m

since diagonal of first square = x m as per the question

in a square each angle is 90 degree

therefore by applying pythagorus theorem ,

diagonal ^2 = side^2 + side ^2

diagonal^2 = 3^2+3^2=9+9

DIAGONAL= square root of 18

diagonal= 3[tex]\sqrt{2}[/tex] m = side of second square

therefore in second square ,

one angle is 90  degree , therefore by applying pythagorue theorem

diaqonal^2 = side ^2 + side ^2 = (3[tex]\sqrt{2}[/tex])^2 + ( 3[tex]\sqrt{2}[/tex])^2

diagonal ^2 = 18 + 18

diagonal = square root of 36

therefore diagonal of second square is 6m

hope it helps you... please mark me as the brainliest..

Answer:

6m explained it all hope it helps

Answer: i think it is 11x+7x

Step-by-step explanation:

Answer:

You Can Open up this link to find your answer!!

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

since the triangle has parallel lines running through the angles equal the same for the triangle so finding x was just 180 - y+z =x

Answer:

$10 to $11

Step-by-step explanation:

$1100÷100=$11

$1550÷150=$10.3333333333

Answer:

Paco contributed = 360pesos

Juan contributed = 504pesos

Question:

Two brothers gathered their money to buy a gift for their dad. Between them they gathered 864, which amount each contributed if Paco gave 5 pesos for every 7 that Juan gave.

Step-by-step explanation:

Let the common factor between each brother = p

Paco gave = 5×common factor = 5p

Juan gave = 7×common factor = 7p

Total money contributed by both brothers = 864

Total money contributed by both brothers = 5p + 7p

5p + 7p = 864

12p = 864

p = 864/12

p = 72

Paco contributed = 5p = 5×72 = 360pesos

Juan contributed = 7p = 7×72 = 504pesos

Answer:

Commutative property

Step-by-step explanation:

This is an example of the commutative property as its states that it is applicable in multiplication and addition where 2 numbers can switch places and give the same result in both situations.

(4)(2) = 8

(2)(4) = 8

Answer:

(2, 5)

Step-by-step explanation:

Let the number of fancy throw pillows be x.

Let the number of plain throw pillows be y.

Hope spent a total of $131 on 7 throw pillows.

Fancy throw pillows  cost $28 and plain throw pillows cost $15.

These imply two things:

x + y = 7 _______  (1)

28x + 15y = 131 ___(2)

We have a linear system of equations.

From (1):

x = 7 - y

Substitute the value of f into (2):

28(7 - y) + 15y = 131

196 - 28y + 15y = 131

196 - 13y = 131

=> 13y = 196 - 131

13y = 65

y = 65 / 13

y = 5

This means that:

x = 7 - 5 = 2

Hope bought 2 fancy throw pillows and 5 plain throw pillows

Answer:

If I do not like art class, then I do not like painting.

Step-by-step explanation:

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Step-by-step explanation:

Answer:

The numerator of the fraction is -360

Step-by-step explanation:

a=180(n-2)/n

Solve for n

a=180(n-2)/n

Open parenthesis

a=180n-360/n

Cross product

an=180n-360

Collect like terms

an-180n=-360

Factorise

n(a-180)=-360

Make n the subject of the formula

n=-360/(a-180)

The numerator of the fraction is -360

The denominator is (a-180)

Answer:

-360

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

5x + 7/2 = 3/2x - 14

like terms together;

5x - 3/2x = -14 - 7/2

7/2x = 35/2

divide both sides by the reciprocal of the fraction next to the unknown

divide by 2/7

x = 5

Answer:

-24

Step-by-step explanation:

1/8(5y+64)=1/4(20+2y)

Multiplying both sides of the equation...

1/8(5y)+1/8(64)=1/4(20)+1/4(2y)

1/8(5y)+(64/8)=(20/4)+(2y/4)

1/8(5y)+8=5+y/2

1/8(5y)+8=5+1/2(y)

Now multiplying through by the least common multiple, which is 8

8×1/8(5y)+8×8=8×5+8×1/2(y)

1×1(5y)+64=40+4×1(y)

Simplifying both sides...

5y+64=40+4(y)

5y+64=40+4y

By grouping like terms...

5y-4y=40-64

1(y)= -24

y= -24

hope this was helpful

Answer:

yes

Step-by-step explanation:

Using the Pythagorean Theorem, we should get 20² + 99² = 101² and we need to check if this is a true statement.

400 + 9801 = 10201

10201 = 10201 so yes, it is.

Answer and Step-by-step explanation:

The computation is shown below:

As we assume a and b are together and c and d are together

So, the equation would be

[tex]= ab \times cd[/tex]

[tex]= (10a + b) \times (10c + d)[/tex]

= 100ac + 10(ad + bc) + bd

Now another equation i s

[tex]= ba \times cd[/tex]

[tex]= (10b + a) \times (10d + c)[/tex]

= 100bd  + 10(ad + bc)  + ac

Now take both equations together

So,

100ac  + 10(ad + bc)  +  bd  = 100bd  + 10(ad + bc)  + ac

99ac  =  99bd

ac = bd

Now Like here  a = 2   b = 10  and    c  = 5   d = 1

So,

ac = bd = 10

So we can take an example like this

So, by considering the

[tex]62 \times 13 = 806[/tex]

And,

[tex]26 \times 31 = 806[/tex]

We can the same amount

So in the given question, the choices are not there so we can calculate by the above method

The answer is 2.

Please see the attached picture

Hope it helps

Good luck on your assignment

Answer:

tanθ=2√2

Step-by-step explanation:

cosθ= 1/3, and θ is acute;

cos²θ=1/9

sin²θ+cos²θ=1

sin²θ=1-cos²θ=1-1/9=8/9

=> sinθ=√(8/9)=2√2 /3

tanθ=sinθ/cosθ

tanθ=(2√2 /3)/(1/3)=2√2

tanθ=2√2

Answer:

9.5

Step-by-step explanation:

Answer:

√b/a

Step-by-step explanation:

Answer:

n = ± [tex]\sqrt{\frac{b}{a} }[/tex]

Step-by-step explanation:

Given

an² = b ( divide both sides by a )

n² = [tex]\frac{b}{a}[/tex] ( take the square root of both sides )

n = ± [tex]\sqrt{\frac{b}{a} }[/tex]