Which expression represents the prime factorization of 450? A. 2 x 3 x 5 x 5 B. 2 x 2 x 5 x 5 C. 2 x 3 x 3 x 5 x 5 D. 2 x 2 x 3 x 5 x 5

Answers

Answer 1

Answer:

c

Step-by-step explanation:

The prime factorization of 450 is 2 × 3 × 3 × 5 × 5. Written with exponents, the answer is 2 × 32 × 52.

Answer 2

It expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5. The correct answer is option C.

What is Prime Factorization?

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

The given number is as follows:

450

We need to write 450 as the product of its prime factors, which is 450.

⇒ 450 = 2 x 3 x 3 x 5 x 5

Hence, it expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5.

Therefore, the correct answer is option C.

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Related Questions

[tex]x(x^2+8)=8(x+1)[/tex]x(x^2+8)=8(x=1)

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]x\left(x^2+8\right)=8\left(x+1\right)[/tex]

Expand:

[tex]x\times x^2+8x=8x+8\times 1[/tex]

[tex]x^3+8x=8x+8[/tex]

Subtract 8x from both sides:

[tex]x^3+8x-8x=8x+8-8x[/tex]

[tex]x^3=8[/tex]

Cube root both sides:

[tex]\sqrt[3]{x^3} =\sqrt[3]{8}[/tex]

[tex]x=2[/tex]

which situation could NOT represent a proportional relationship? F The number of gallons of water in x barrels with 42 gallons of water in each barrel G The amount an employee who makes $8.50 per hour earns in h hours the weight in x weeks of a puppy that gains 2 pounds per week it is starting weight is 8 pounds 1 The cost of purchasing p pounds of bananas for $0.55 per pound​

Answers

Answer: it’s H <3

Step-by-step explanation: I had this on my homework and I got it right^^

It is possible that the situation does not represent a proportional relationship. The number of hours worked by an employee earning $8.50 per hour.

What proportional relationship?The relationship is said to be proportional when two or more items are directly proportionate or change in size according to equivalent ratios.The formula y = kx can be used to express this proportional relationship. The quantities that are proportional to one another in this case are y and x.In this case, the unit rate is another name for the proportionality constant (k).Proportional relationships can be worked with algebraically, but they can also be represented visually by graphing them on a coordinate plane.On the graph, a proportionate relationship is always represented as a straight line across the origin.

Therefore, The correct answer is option is B) The amount an employee who makes $8.50 per hour in h hours

The complete question is:

Which situation could NOT represent a proportional relationship?

A: The number of gallons of water in x barrel with 42 gallons of water in each barrel

B: The amount an employee who makes $8.50 per hour in h hours

C: The weight in x weeks of a puppy that gains 2 pounds per week if it's starting weight is 8 pounds

D: The cost of purchasing p pounds of bananas for $0.55 per pound​

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Some number added to 5 is equal to -11. Find the number.

Answers

Answer:

5-16= -11

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

5+?=-11

move the equation around..

-11-5=?

-11-5=-16

you can move the equation around again to be sure..

5+(-16)=-11

yes it does

HAVE A GREAT DAY (:

7x^2+8=18x Need help learning factoring please put work so I can understand

Answers

Answer:

(x - 2)(7x - 4)=0

Step-by-step explanation:

[tex]7 {x}^{2} + 8 = 18x \\ 7 {x}^{2} - 18x + 8 = 0 \\ 7 {x}^{2} - 14x - 4x + 8 = 0 \\ 7x(x - 2) - 4(x - 2) = 0 \\ (x - 2)(7x - 4) = 0[/tex]

what is the sum of 3/20+ the square root of 10

Answers

Answer:

3.31

Step-by-step explanation:

sqr 10 = 3.16

3/20 = .15

3.16+ .15

3.31

Please Help Me Which letter represents Chinese dynasties? Which letter represents the birthplace of Hinduism? Which letter represents the beginning of the Hebrew culture?

Answers

I think it b but I’m not sure

Step-by-step explanation:

chinese dynasties=C

Hinduism birthplace=B

Hebrew culture=A

Mr.V's trail mix uses 1/2cup of peanuts, 2 1/4 cups raisins, and he uses 2 times more sunflower seeds than raisins.How many total cups of trail mix can mix can Mr.V make

Answers

Answer:

The total number of cups is 9 1/2 cups

Step-by-step explanation:

Here, we are interested in calculating the total cups of trail mix that Mr V can make.

From the question, we are told that he used 1/2 cups of peanuts, 2 1/4 cups of raisins and 2 times more sunflower seeds than raisins.

So basically, we need to find the number of cups of sunflower seeds used.

The information we have here is that he used 2 times more of raisins;

Thus, the number of cups of sunflower would be 2 * 2 1/4 = 2 * 9/4 = 9/2. But practically is 9/2 , two times more than 2 1/4? NO!

What we should do here is to add 9/2 to 2 1/4. In that case, the difference between the two will be 2 times the cups of raisins;

So 9/2 + 9/4 = (18 + 9)/4 = 27/4

So the total number of cups of trail mix that can be made will be;

1/2 + 27/4 + 9/4 = (2 + 27 + 9)/4 = 38/4 = 19/2 = 9 1/2 cups

The coordinates of the midpoint of GH are M(8,0) and the coordinates of one endpoint are H(-2,9) The coordinates of the other endpoint are (_,_)?

Answers

Answer:

work is attached and shown

The coordinates of the other endpoint are (18, -9)

The given points;

midpoints M = (8, 0)

one end points, H = (-2, 9)

The coordinate of the other end point is calculated as;

[tex]G_1 = \frac{x + (-2)}{2} = 8\\\\G_2 = \frac{y+ 9}{2} = 0[/tex]

From the above equation, the x coordinate is calculated as;

x - 2 = 16

x = 18

The y coordinate is calculated as;

y + 9 = 0

y = -9

Thus, the coordinates of the other endpoint are (18, -9)

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I need helpppp with this question

Answers

Answer: Y = 6 and X = 5

Step-by-step explanation: Im not sure But i think that that your supposed to subtract by 2 so 8 - 2 would equal 6 and then 7-2 equals 5 so yeah

COPY-
Evaluate each expression if a = 4, b = 6, and c = 2
-> 3a +6²c
What is

Answers

Step-by-step explanation:

a=4 so 3a becomes 3x4.

3x4=12

12+6c^2

C=2 so 6c^2 becomes (6x2)^2

6x2=12 and 12x12 because of the exponent.

12x12=144

12+144=156

If it's wrong, i'm sorry

Which ordered pair on the graph represents the situation described in part F?
B
1
U
X'
X
Font Sizes

Answers

Answer:

The point (3, 9) represents 3 kilograms of weight with a spring stretch of 9 inches.

Step-by-step explanation:

4. Simplify the following using the quotient rule of exponents:
(1 Point)
33 = 33
31
33
30
3-





!!!!!!!!!!!!!!!!!!!

Answers

Answer:

31=1/1

33=1/1

30=3/10

3-=-3

Step-by-step explanation:

The road has a 10% slope. Calculate its angle of inclination.​

Answers

Answer:

angle of inclination = 5.71°

Step-by-step explanation:

[tex] 10 \% = \frac{10}{100} = 0.1 = \tan \theta \\ \theta = { \tan}^{ - 1} (0.1) \\ \theta = 5.7105931375 \\ \huge \red{ \boxed{\theta = 5.71 \degree}}[/tex]

A triangle has a base length of 3.1 cm and corresponding height of 4.2 cm, correct to
one decimal place. Calculate the upper and lower bounds for the area of the triangle as
accurately as possible.

Answers

Answer:

The upper bound of the area is 6.69375 cm²

The lower bound of the area is 6.32875 cm²

Step-by-step explanation:

The question relates to measurements and accuracy

The given information are;

The base length of the triangle = 3.1 cm

The height of the triangle = 4.2 cm correct to one decimal place

The lower bound for the base length of the triangle = 3.05 cm

The upper bound for the base length of the triangle = 3.15 cm

Similarly, the lower bound for the height of the triangle = 4.15 cm

The upper bound for the height of the triangle = 4.25 cm

The formula for calculating the area of a triangle is given by the following formula;

Area of a triangle = 1/2 × Base × Height

The upper bound of the area = 1/2 × The upper bound of the base × The upper bound of the height

The upper bound of the area = 1/2 × 3.15 × 4.25 = 6.69375 cm²

The upper bound of the area = 6.69375 cm²

The lower bound of the area = 1/2 × The lower bound of the base × The lower bound of the height

∴ The lower bound of the area = 1/2 × 3.05 × 4.15 = 6.32875 cm²

The lower bound of the area = 6.32875 cm²

What’s the product of 728x32

Answers

Answer:

23296

Step-by-step explanation:

You will know this if you use box method or using standard form its pretty much simple multiplication

3. If the point (3, 4) lies on the graph of the equation 3y = ax + 7, find the value of a.

Answers

Answer:

3/5

Step-by-step explanation:

3y = ax + 7

3(4) = a(3) + 7

12 = 3a + 7

5 = 3a

3/5 = a

Best of Luck!

Value:

x = 3

y = 4

Given Equation:

3y = ax + 7

Solution:

By putting the values of x and y, we get

3(4) = a(3) + 7

or, 12 = 3a + 7

or, 12 - 7 = 3a

or, 5/3 = a

Answer:

a = 5/3

To Check:

12 = 5/3(3) + 7

or, 12 = 12

LHS = RHS

Hence, Verified.

= loan
6
2) The wire length 176 cm is first bent into a square
and then into a circle
which one will have more area? (II= 22/7)

Answers

Length of Wire = 176 cm

It's bent into a square.

Side of square = 176/4 = 44 cm

Area of square = Side × Side = 44 × 44 = 1,936 sq.cm

Then it's bent into a circle.

Circumference of the circle = 2πr = 176 cm

Circumference = r = 176/2 × 7/22 = 28 cm

Area of circle = πr^2

Area = 22/7 × 28 × 28

Area = 2,464 sq.cm

The Circle will have more area than the square.

How much can 2 go into 80

Answers

Answer:

40

Step-by-step explanation:

80/2= 40

Find the difference: 34x-4x+2y=?

Answers

Answer: The answer is 30x-2y

Step-by-step explanation: Subtract 4x from 34x to get 30x. Then the rest just falls down and you are left with 30x-2y. Also can you please give me a brainliest. I really need one.

solve attachment 30 points!!!!!

Answers

Answer:

[tex]A=\frac{B^3}{5g+m}[/tex]

Step-by-step explanation:

Step 1: Write out equation

5gA + mA = B³

Step 2: Factor out A

A(5g + m) = B³

Step 3: Divide both sides by 5g + m

[tex]A=\frac{B^3}{5g+m}[/tex]

7) A real number that is less than zero. These represent opposites.

Answers

Answer:

A negative number

Step-by-step explanation:

I know this is right. Negative numbers represent opposites. If positive represents a movement to the right, negative represents a movement to the left.In the context of negative numbers, a number that is greater than zero is referred to as positive. Thus every real number other than zero is either positive or negative, while zero itself is not considered to have a sign. Positive numbers are sometimes written with a plus sign in front, e.g. +3 denotes a positive three.

It’s a negative number because anything less then Zero is negative

It will take five builders 62 days to complete a particular project. At this rate, how long would the project take if there were only two builders?(SHOW WORK)

Answers

Answer:

2 builder complete work = 155 days

Step-by-step explanation:

Given:

5 builder complete work = 62 days

So,

1 builder complete work = 62 days × 5

if,

2 builder complete work = [62 days × 5] / 2

2 builder complete work = 155 days

I BET NO ONE KNOWS THIS QUESTION . After years of Civil war , columbia is a peaceful democratic nation. TRU OR FALSE

Answers

Answer:

false?

Step-by-step explanation:

first, you put this question in mathematics. columbia is a “democracy” but i would say it isn’t peaceful.

the answer would be true

Differentiate Square numbers and cube numbers

Answers

Answer:

square numbers are numbers raised up to the power of two in essence the number multiplied by it self

A national survey of middle-school students asks which subject is most challenging. Which of these samples is a representative sample? A. 372 sixth-graders in a certain town B. 972 seventh-graders in a certain county C. 619 eighth-graders in different states D. 400 students from various states, representing different grades, 6–8

Answers

The answer would be D, since a representative sample is a set chosen from a larger statistical population.

whats the answer thanks

Answers

Answer:

3

Step-by-step explanation:

closed circle=equal to

Solve the equation for the variable. Make sure your answer is in simplest form.

[tex] - 3 - 39x = 11x - 23[/tex]
[tex]x = \frac{?}{?} [/tex]
Enter the numbers that belong.​

Answers

Answer:

Here's your answer

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer:

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

Step-by-step explanation:

Given

- 3 - 39x = 11x - 23 ( subtract 11x from both sides )

- 3 - 50x = - 23 ( add 3 to both sides )

- 50x = - 20 ( divide both sides by - 50 )

x = [tex]\frac{-20}{-50}[/tex] = [tex]\frac{2}{5}[/tex]

Quick Question


a) 1 trillion means 1 000 000 000 000. Write this number in scientific notation.


b) Write one million in scientific notation.

Answers

Answer:

1 * 10^12

Step-by-step explanation:

Scientific notation is a representation of a large number in a short form. The answer, 1*10^12 (read as ten to the twelfth power) essentially says that the number when expanded is 1 with 12 zeros appended to it. If you did a number like 7 trillion you would have 7 * 10^12.

Same thing can be applied for 1,000,000 (one million).

1 * 10^6 because one million has 6 zeros appended to it.

Ira's puppy weighed 3/4 pound. His kitten weighed 1/5 pound. What was the total weight of Ira's two pets? A. 19/20 pounds B. 4/9 pound C. 11/20 pound D. 19/20 pound

Answers

Answer:

3/4+1/5=19/20

Step-by-step explanation:

Answer:

19/20

Step-by-step explanation:

3/4+1/5

find the common denominator

15/20+4/20= 19/20

The measure of G is six more than twice the measure of H. If G and H are supplementary angles, find the measure of H pls I need help pls

Answers

Answer:

The measurement of angle H is 58°

Answer:

77

Step-by-step explanation:

G =2H+6=180

2H+6=180

2H=180-6

2H=154

H=154/2

=77

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