What is the greatest common factor of 45x^3, 24x^2, and 16x?

Answers

Answer 1

Answer:

[tex]\huge\boxed{\sf GCF = x}[/tex]

Step-by-step explanation:

Firstly we'll factorize the terms:

45x³ = 3 * 3 * 5 * x * x * x

24x² = 2 * 2 * 2 * 3 * x * x

16x = 2 * 2 * 2 * 2 * x

The factor which is common in all three terms is:

= x

Hence GCF = x

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Related Questions

A pet store employee measures the lengths of two pet snakes, Noodles and Squiggles. Noodles measures 30 inches long, and Squiggles measures 2 feet 10 inches long. Which snake is longer, and by how much?

Answers

Answer:

4

Squiggles

Step-by-step explanation:

steps

convert the length of squiggles from feet to inches find the difference

1 feet = 12 inches

2 feet = 2 x 12 = 24 inches

length of squiggles = 24 + 10 = 34 inches

squiggles is longer because 34 is greater than 30

difference = 34 - 30 = 4

during the first part of a hike, Andre drank 1.5 liters of the water he brought. If this is 50% of the water he brought, how much water did he bring?
3 liters
6 liters
9 liters
12 liters

Answers

Answer:

50/100 x X = 1.5

x 100       x100

50x = 150

÷50   ÷50

X = 3

X = 3 liters I am pretty sure

7x(15+5) plz help me solve this question by formula BODMAS

Answers

The brackets are first, then the multiplication

What is the constant rate of change between the two quantities
in the table? PLLSSS HELP PLSSSSSSS GIVING BRAINLIEST

Time (minutes) (x) 15 30 45 60
Number of Pages Read(y) 10 20 30 40

Answers

Answer: number of pages is going by 10. The number of minutes is multiplying 2 times.

Step-by-step explanation:

To find the COP use an in book resource or search it pretty simple

Plz telll me someoneeee

Answers

Step-by-step explanation:

part 1

Area =2L×2B

2(9in) ×2(6in)

18in×12in

=216in²

Part 2

Area of a triangle =½×base ×height

½×9in×14in

=63cm²

PLEASE HELP 15 POINTS
Find m RS
S
(6x-28)
(4x+ 20)

Answers

Answer:

arc RS = 116°

Step-by-step explanation:

Since the 2 chords are congruent then their minor arcs are congruent, that is

SR = TU, substitute values

6x - 28 = 4x + 20 ( subtract 4x from both sides )

2x - 28 = 20 ( add 28 to both sides )

2x = 48 ( divide both sides by 2 )

x = 24

Then

arc RS = 6x - 28 = 6(24) - 28 = 144 - 28 = 116°

what is a simulation

A: the probability of two or more events happening at once

B: a model of a real-world situation that can be used to find probabilities

C: a probability based on expected results

D: a probability based on actual results from an experiment ​

Answers

Answer:

b

Step-by-step explanation:

its a simulation of the real work or place etc

If the value of y varies inversely with x , which function represents the relationship between x and y if y = 48 when x = 3?

A. Y= 144/x

B. Y= 16/x

C. Y= x/16

D. Y= x/144

Answers

Answer:

A. Y = 144/x

Step-by-step explanation:

Inversely means y = 1/x

If y = 48, when x = 3

so 144/3 = 48

Therefore the answer is A

If the  value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3

What is a function?

A relation is a function if it has only One y-value for each x-value.

If y varies inversely with x, it means that y is inversely proportional to x, or y=k/x, where k is a constant of proportionality.

To find k, we can use the given values of y and x:

y = k/x

48 = k/3

k = 144

Now that we know k, we can write the function that represents the relationship between x and y:

y = 144/x

Therefore, if the  value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ2

A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
b. What is the slope-intercept equation of the line that fits this information?

Answers

Answer: y = 10x + 30 is the correct answer

Where does the graph of y = 4x + 24 intersect the x-axis?

Answers

Answer:

(-6, 0)

Step-by-step explanation:

y = 4x + 24

Plug y = 0

0 = 4x + 24

4x = - 24

x = - 24/4

x = - 6

So, the graph of y = 4x + 24 intersect the x-axis at (-6, 0)

Answer:

at point x= -6

Step-by-step explanation:

4x+24=0

4x=-24

x=-24/4

x=-6

4. A cell phone company offers two monthly plans. Subscribers to Plan A pay a monthly
fee of $15, and are charged 4 cents for every minute of cell phone usage. Subscribers
to the second plan, Plan B, pay a monthly fee of $10, and are charged 5 cents for
every minute of cell phone usage. Martha can afford no more than $40 per month for
a cell phone plan. Which plan should she choose?

Answers

Answer:

the first one

Step-by-step explanation:

Type in the missing terms in this sequence of square numbers.
1, 4, 9, ?,25,36,?,64,81,100,?,144

Answers

1,4,9
*16
25,36
*49
64,81,100
*121
144

HELP!

Find the measure for
A)
127°
B)
131°
C)
135°
D)
139°

Answers

Answer:

B) 131°

Step-by-step explanation:

-4a + 139 = 4a + 123 because they are vertical angles

-4a + 139 = 4a + 123

reduce:

8a = 16

a = 2

4(2) + 123 = 131°

write the following number in standard form plezz

7.6 x 10^3

Answers

10^3=1,000

Anything multiplied by 1 is that number. In this case, multiply 7.6 by 1, then add 3 zeroes.

---

hope it helps

Answer:

7,600

Step-by-step explanation:

when you have to multiply by 10 to a power, you just move the decimal to the left as many times as by the power

Please do 6-7 ASAP

Answers

the answers are
6) y=7/3
7) y=4

Answer:

Step-by-step explanation:

(6). y = [tex]\frac{1}{3}[/tex] x + 2 [ linear function ]

(7). y = 4 [ horizontal line, linear function ]

(8). x = 2 [ vertical line, not a function ]

Timothy spent 1 hour 22 minutes less than Bill reading last week. Bill spent 47 minutes less than Pete. Pete spent 3 hours reading. How long did Timothy spend reading?

Answers

Answer: 51 minutes

Step-by-step explanation:

Firstly, Pete spent 3 hours reading. Bill spent 47 minutes less than Pete reading so Bill spent:

= 3 hours - 47 minutes

= 2 hours 13 minutes

If Bill spent 2 hours 13 minutes reading and Timothy spent 1 hour 22 minutes less than this, the amount of time that Timothy read for was:

= 2 hours 13 minutes - 1 hour 22 minutes

= 51 minutes

There are 7 cupcakes, 2 brownies, and 6 cookies on a platter what is the ratio of cupcakes to brownies?

Answers

Your answer should be 5:2 I’m sorry if it’s wrong good luck!

Can someone help me please

Answers

Answer:

15

Step-by-step explanation:

Tuesdays interquartile range is 45, and monday's is 30. 45 - 30 = 15. Hope this helps!

Just need points sorry

Suppose ABCD is a rhombus with AB = 12 inches. The midpoints of its sides are joined to form a quadrilateral. What type of quadrilateral is formed?

Answers

Answer:

A rectangle

Step-by-step explanation:

The given parameters are;

The quadrilateral ABCD is a rhombus;

The length of the sides of the rhombus = 12 inches

The lengths of the sides of a rhombus are equal

The opposite interior angles of the rhombus are equal

The length of each midpoint from the vertex = 12 in./2  = 6 in.

Therefore, we have;

The line joining the midpoints form a quadrilateral with the length of the opposite sides equal

The sum of the interior angles of the rhombus = 180°

From the diagram created with Microsoft Visio, we have;

4·a + 4·b + 360 = 4 × 180 = 360 + 360

4·a + 4·b = 360

a + b = 90°

We have;

The interior angles of the quadrilateral formed = x

a + b + x = 180° Sum of angles on a straight line

∴ x = 180° - (a + b) = 180° - 90° = 90°

x = 90°

Therefore, the interior angles of the quadrilateral formed = 90°

The quadrilateral formed having equal opposite sides, and all interior angle of 90° each is a rectangle

1. Bernardo de Gálvez was a friend to the United States. He helped in providing _____________ and weapons.

Answers

Galvez allowed shipments of weapons, medicine and fabric for military uniforms to be sent to the Continental Army via the Mississippi

complete the table for each value of m. an the table be used to show that the expression are equivalent? explain
it is qustion 4. i really need help

Answers

Answer and Step-by-step explanation:

m_| 2(3m + 7) |_6m + 14_|

1    |      20       |       20     |

2   |      26       |       26     |

This table can be used to show that the expression are equivalent because every time the variable was plugged in, the output was the same for both equations.

Also, the first equation is the undistributed version of the second equation.

#teamtrees #PAW (Plant And Water)

Pls I need to know now

Answers

Try to pick the first option above

what is the value of x?

Answers

x² + 8² = 10²

x² + 64 = 100

x² = 100 - 64

x² = 36

x = 6

Complete the table of equivalent ratios.
3
5

10
9


20

25

Answers

Answer:

Step-by-step explanation:

The first is 2, the second is 6 and the third is 14.

Please help worth 100 points

Answers

Answer:

I hope you got an answer dude

Answer:

p/rn to the third root of 1^rnt

Step-by-step explanation:

I just this on my edmentum/ plato course so its right

Tina bought a car for $5000. After owning the car for a year, it had a depreciation of 15%.
a) How much is the car worth now?
b) How much did the cardecrease in value?

Answers

Answer:

The car is worth $4250 now and it decreased by $750

Step-by-step explanation:

5000* .85 is 4250

1. A scientist is growing cell cultures and examining the effects of various substances on them as part of his research. The culture in one petri dish increases according to the expression +47 + 4 for timet in minutes. Another increases according to 12 + 2t+4. He needs to feed all the cells equally, so he needs to know the expression for the total number of cells in both dishes because the food is proportional to the total number of cells. Find the expression.​

Answers

Pay attention in class

Casey recently purchased a sedan and a pickup truck at about the same time for a new business. The value of the sedan S, in dollars, as a function of the number of years t after the purchase can be represented by the equation S(t)=24,400(0.82)t. The equation P(t)=35,900(0.71)t2 represents the value of the pickup truck P, in dollars, t years after the purchase. Analyze the functions S(t) and P(t) to interpret the parameters of each function, including the coefficient and the base. Then use the interpretations to make a comparison on how the value of the sedan and the value of the pickup truck change over time.

Answers

Answer:

Step-by-step explanation:

Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.

Answer:

Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.

Step-by-step explanation:

If the radius of a circle is 10cm, what will be the area of the circle?

Answers

Answer:

314

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Abigail is 54 inches tall. Which of the following is Abigail's height?

Answers

Answer:

If you wanted it to be converted to ft, then her height would be: 4 ft , 5 inches

~hope this has helped you out, have a gr8 day!~

Step-by-step explanation:

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