What is the prime factorization of 420?

Answers

Answer 1

we have the factors 2 x 2 x 3 x 5 x 7 = 420. It can also be written in exponential form as 22 x 31 x 51 x 71.

Step-by-step explanation:

Answer 2

Answer:The prime factors are 2 x 2 x 3 x 5 x 7 .

Step-by-step explanation:


Related Questions

how many tims can 60 go into 72 pls help

Answers

Answer:

The answer is 1 time

Step-by-step explanation:

If you subtract 60 from 72 you come out with 12. Which is not enough for you to subtract 60 again so the answer is 1.

4). THE TEMPERATURE IN ANCHORAGE, ALASKA AT MIDNIGHT
WAS -12°F. BY NOON THE TEMPERATURE HAD RISEN 23°F. WHAT
WAS THE TEMPERATURE AT NOON?

Answers

Answer: 11 degrees F

If it was -12 and by noon it had risen 23 degrees  just add the two numbers together and you get 11 degrees F

Hagrid had 3 1/2 feet of orange ribbon. He used some ribbon to make a bow for a gift. Now he has 1 3/8 feet of ribbon left. How much ribbon did Hagrid use?

Answers

Answer:

2 1/5

Step-by-step explanation:

If the students walked 3/10 of A mile in 1/10 of an hour, how far did they walk in an hour.

Answers

Answer:

3 miles

Step-by-step explanation:

distance/time = distance/time

3/10 ÷ 1/10 = d ÷ 1

[tex]\frac{3}{10}[/tex] x [tex]\frac{10}{1}[/tex] = [tex]\frac{d}{1}[/tex]

30/10 = d

3 = d

Pippi sold ten more cups of lemonade that cups of iced tea. She sold 120 cups in all. How many cups of lemonade did she sell?

Answers

Answer:

65  cups

Step-by-step explanation:

If she sold 10 more cups of lemonade than tea and sold 120 cups total.  I first would subtract 10 cups from 120 =110.  then I divide 110 /2 = 55 cups

The 55 cups makes it equal then I add the 10 cups back to the Lemonade to get 55+10 = 65

So your answer would be 65 cups of lemonade

I need this fast 25 point 4(-6z+4)

Answers

Answer:

If you are asking for this equation in distributive property the answer is -24z+16, otherwise ldk what you want.

I hope this helps, and have a nice day!

Answer:
-24z+16

Explanation:
= (4)(-6z+4)
=(4) (-6z)+(4)(4)
= -24z+16

Can anyone help me with this - 50 points + brainliest

Answers

Answer:

0 = [tex]\frac{\pi }{6}[/tex]

Step-by-step explanation:

0= 0.52359877

Answer:

a) 9/2

b)8√3

c)25/√2

Step-by-step explanation:

Use the equation: area of a triangle = 1/2×absinθ

a) 1/2 ×3×6×sin 30°

=1/2×3×6×1/2

=9/2

b) 1/2×4×8×sin60°

=1/2×32×√3/2

=8√3

c)1/2×5×10×sin 45°

=1/2×50×1/√2

25/√2

Solve the system of equations.
6x - 5y = 15
2= y + 3
I=
y =

Answers

Answer: x=0 y=-3

Step-by-step explanation: Hope this help

Answer:

y= -3

hope this helps!

Step-by-step explanation:

5y + 6x = 15 y + x = 3 Solve by Substitution : // Solve equation for the variable x  x = y + 3 // Plug this in for variable x in equation 6• (y +3) - 5y = 15 y = -3 // Solve equation for the variable x.

15 cm
16 cm
Part 1: Find the radius of the cone. (2 points)

Answers

formula=1/3 x 3.14 x r^2 x height

=16 is diameter so radius will be 16/2 or 8

:let put terms in the formula:

1/3 x 3.14. x 8^2 x 15 = 1004.8

volume=1004.8

7x + 20 [tex]\geq[/tex] 6

Answers

Answer:

x ≥  -200/7    is your answer

Step-by-step explanation:

Karen and Bill collect coins. Karen has x coins. Bill has 2 coins fewer than five times the number of coins Karen has. Write and simplify an expression for the total number of coins Karen and Bill have.

Answers

Answer: 5x-2

Step-by-step explanation:

Step-by-step explanation:

the karen has 5x then .i hope this is answer

What can you conclude from the information in the diagram

Answers

Answer: its not D I got it wrong, I hope that helps in some way:)

Step-by-step explanation:

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101 I meant sorry lol

Answers

Answer:

The third angle is 55 degrees.

Step-by-step explanation:

1) The three angles of a triangle always add up to 180 degrees. So, add together 34 + 101 = 135.

3) Then, subtract 180 - 135 = 55 degrees, and this is the missing angle!

I hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your assignment. :)

Answer:

Hi, I think it's 55 degrees.

Step-by-step explanation:

If you add 34 and 101, then subtract 180 from that, it's 55.

Determine the average rate of change
between x=-1 and x=1.

Answers

Answer:

2

Step-by-step explanation:

A group of friends wants to go to the amusement park. They have $100 to spend on
parking and admission. Parking is $13, and tickets cost $14.50 per person, including
tax. How many people can go to the amusement park?

Answers

Answer:

3

Step-by-step explanation:

14.50 + 13.00 = 27.50

27.50 x 3 = 82.50

Answer:

6

Step-by-step explanation:

\color{red}{14.5}x+\color{blue}{13}=

14.5x+13=

\,\,\color{purple}{100}

100

-\color{blue}{13}\phantom{=}

−13=

\,\,-\color{blue}{13}

−13

Subtract 13 from both sides

\color{red}{14.5}x=

14.5x=

\,\,87

87

\frac{\color{red}{14.5}x}{\color{red}{14.5}}=

14.5

14.5x

=

\,\,\frac{87}{\color{red}{14.5}}

14.5

87

Divide both sides by 14.5

x=

x=

\,\,\boxed{6}

6

\text{6 people can go to the amusement park.}

6 people can go to the amusement park.

How much time has passed?
Start time: 1:50 p.m.
End time: 4:40 p.m.

Answers

Answer:

2 hours and 10 minutes

Step-by-step explanation:

Sorry it took a while...

Hope this helped! :)

what is the answer 3.3010 x 10^23=

Answers

330,100,000,000,000,000,000,000

You have 10 pairs of socks, five black and five blue, but they are not paired up. Instead, they are all mixed up in a drawer. It’s early in the morning, and you don’t want to turn on the lights in your darkroom. How many socks must you pull out to guarantee that you have a pair of one colour? How many must you pull out to have two good pairs (each pair is the same colour)? How many must you pull out to be certain that you have a pair of black socks?

Answers

Answer:

Go turn a light on.

Step-by-step explanation:

Flip the light switch

Given (15,10) and (30,10) find the slope and describe the line that you would graph.

Answers

Answer:

this is required answer.

Which of the following is the equation of the inequality shown below

Answers

Answer:

2

Step-by-step explanation:

the line is solid

solid lines are for symbols like this "≤"

Answer is 2 by the way

fine the slope of the line

Answers

Answer:

C

Step-by-step explanation:

slope = diference in y /diference in x = 0-(-4) / 4-2 = 0+4 /4-2 = 4/2 =2

Pls help asap adn dont guess :DD

Answers

Answer:

[tex]{ \huge \star} \boxed{ \sqrt{3} \times 7 \sqrt{6}}{ \huge \star} \\ = \sqrt{3} \times 7 \times \sqrt{2 \times 3} \\ = 3 \times 7 \times \sqrt{2} \\ = \boxed{ 21 \sqrt{2}} [/tex]

21√2 is the right answer.
Question:-

What is the product of √3 and 7√6 in simplest radical form?

Answer:-

[tex] \small \pink{21 \sqrt{2} }[/tex]

Explanation:-

→ √3 × 7√6

→ √3 × 7 × √2×3

→ 3 × 7 × √2

→ [tex] \small \tt \red{21 \sqrt{2} }[/tex]

can you help please ​

Answers

Answer:

top one:  (7b + 6)(7b - 6)

Step-by-step explanation:

the square root of 49b² = 7b

the square root of 36 = 6

you have to have one factor contain +6 and the other -6 so that, when you 'foil', the middle terms cancel out; and the 36 is negative

49b² - 42b +42b - 36  =  49b² - 36

45% of what number is 9?
Your answer

Answers

The answer is 5
45/9=5

Answer:

20

Step-by-step explanation:

9 x 100 / 45 = 20


In this graph, the y-intercept of the line is lank
The equation of the line is y=blank x blank

Answers

The y intercept is -2
The equation is y = x-2

Answer:

The y intercept is -2

The equation is y = x-2

Step-by-step explanation:

The name of this shape

Answers

Answer:uhhhh

Step-by-step explanation:no fr wht type of shape is tht- who even made shapes honestly

Answer:

i think its a right angle trapiziod

Step-by-step explanation:

man good luck

what is the value of X
a 22
b 23
c 24
d 26

Answers

Answer:

sa tingin ko it is a letter c

Step-by-step explanation:

sana makatulong sayo

The answer for this question is c ..... hope this help

!!!!!!(VERY URGENT)!!!!!!! Find the area of the composite shape given in the figure.

Answers

Answer:

43.7 square units

Step-by-step explanation:

you can create 3 rectangles by extending the line through point A until it meets the top line, do same with extending line through point B

the area of the rectangle on left is 6.5 x 4, which is 26

the area of the center rectangle is 1.8 x 3.5, which is 6.3

the area of the rectangle on right is 3.8 x 3, which is 11.4

Sarah has a savings account with $6,000 in it that earns 5.6% simple interest per year.

How much money, to the nearest penny, will Sarah have in 3 years? Give your answer in dollars.​

Answers

Answer:

$7,008

Step-by-step explanation:

A = P(1 + rt)

P = $6000

r = 0.056 (percent in decimal form)

t = 3 years

A = 6000(1 + (0.056)(3))

A = 6000(1 + 0.168)

A = 6000(1.168)

A = $7,008

Log3 (x squared + 7x + 21) = 2

Answers

Step-by-step explanation:

log <base a> b = x

means

a^x = b

So

3^2 = x^2+7x+21

x^2 + 7x + 21 - 9 = 0

x^2 + 7x + 12 = 0

(x+3)(x+4)

x = -3 or -4

The required solution given equation is x = -3 or -4.

What is logarithm?

The logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

Given:

The given equation is

[tex]Log 3 (x^{2} + 7x + 21) = 2[/tex]

According to given question we have

By the formula of logarithm we get

[tex]log_{a} b = x\\\a^x = b\\So\\3^2 = x^2+7x+21\\x^2 + 7x + 21 - 9 = 0\\x^2 + 7x + 12 = 0\\(x+3)(x+4)\\x = -3 or -4[/tex]

Therefore, the required solution given equation is x = -3 or -4.

Learn more details about logarithm here:

https://brainly.com/question/28346542

#SPJ5

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