List the prime factors of each of these numbers
a) 30
b) 24
c) 72
d) 100​

Answers

Answer 1

Answer:

30= 2×3×5

24= 2cubed×3

72= 2cubed×3squared

100=2squared×5squared

Answer 2

Answer:

Step-by-step explanation:

a) 30 = 5 * 6 = 5 * 2 * 3

  30 = 5 * 2 * 3

b) 24 = 4 * 6 = 2*2 * 2 * 3

24 = 2³ * 3

c) 72 = 8 * 9 = 2 *2 * 2 * 3 * 3

72 = 2³ * 3²

d) 100 = 10 * 10 = 2 * 5 * 2 * 5

100 = 2² * 5²


Related Questions

9x-7i>3(3x-7u)I need the answer please ​

Answers

Step-by-step explanation:

9x-7i<3(3x-7u)=

9x-7i<9x-21u=

-7i<-21u=

i<3u

Find the value of x.

x =

Enter the number that belongs in
the green box.

Please helppp

Answers

Answer:

x=67°

Step-by-step explanation:

Sum of all angles is 180°

36°+77°+x=180°

113°+x=180°

x=180°-113°

x=67°

Bro this is right answer plzzz mark me as brainliest★

THE ANSWER IS NOT B
If you can’t see the picture plz zoom in.
The box plots show Theo's math scores and language arts scores.

About 50% of Theo's scores are in which range for each subject?
60 to 85 for math: 60 to 80 for language arts

55 to 90 for math: 50 to 90 for language arts

55 to 60 for math: 50 to 60 for language arts

85 to 90 for math 80 to 90 for language arts

Answers

maybe the answer is A- 60 to 85 for math: 60 to 80 for language arts

Answer:

B

Step-by-step explanation:

In the triangle below,
y = [ ? ] cm. Round to the
nearest tenth.
15 cm
35
90°

Answers

Answer:

y ≈ 12.3

Step-by-step explanation:

Using the SOH CAH TOA identity to get the value of y as shown;

sin theta = opposite/hypotenuse

opposite = y

hypotenuse = 15cm

theta = 180-(35+90)

theta = 180-125

theta = 55 degrees

sin 55 = y/15

y = 15sin55

y = 12.287

y ≈ 12.3 (to the nearest tenth)

Which inequality can this number line represent?

Answers

Answer:

B.

Step-by-step explanation:

The diagram shows part of a regular polygon.
The sides of this polygon subtend angles of 18° at the centre of the polygon.
How many sides does the polygon have?

The diagram is not drawn to scale.​

Answers

Answer:

Step-by-step explanation:

The sum of central angles must equal 360 degrees.

s=360/18

s=20

Fill in the missing numbers in these equations

(-2)⋅(-4.5)=?
(-8.7)⋅(-10)=?
(-7)⋅?=14
?⋅(-10)=90

Answers

Answer:

Step-by-step explanation:

(-2)*(-4.5)=9

(-8.7)*(-10)=87

-7x=14

x=14/-7=-2

?=-2

-----------------

-10x=90

x=90/-10

x=-9

Please help!! It is the last problem I need to do before I am free!! Thank you!!!

Answers

Answer:

94 + 41 + 69 + 156= 360

up: 156

down: 69

180-156 = x = 24

I think

I will give

0.45×104

Answers

Answer:

46.8

Step-by-step explanation:

0.45*104=46.8

The answer is 46.8 !!!!!

Help! 1/6 of 2 yards is how many feet?

Answers

Answer:

1 foot

Step-by-step explanation:

1 yard = 3 ft

[tex]2*1 yard= 2*3feet[/tex]

2 yards = 6 feet

[tex]\frac{1}{6}[/tex] (2 yards) = [tex]\frac{1}{6}[/tex] (6 feet)

So, [tex]\frac{1}{6}[/tex] of 2 yards is 1 foot.

answers:
a) 74
b) 108
c)49
d)51

Answers

Answer:

51

Step-by-step explanation:

sum of exterior angles = 360

64  + 60 + 69 + 42 + x + x +23 = 360

2x + 258 = 360

2x = 360 - 258

2x = 102

x = 51

Answer:

The person below me is correct

Step-by-step explanation:

Jonah bought a gym membership for
$20 per month. He pays an additional
$4 each time he attends a mixed
martial arts class. He has spent $108
over the last four months.
How many mixed martial
arts classes has he
attended?

Answers

Answer:

7

Step-by-step explanation:

2 because 20 times 5=100
108-100 = 8
8 divide by 4 is 2


or you can do 108/24 = 4.5 so 4


either one , sorry

Amanda must read a 259−page book for her history class over the next week. Amanda has found that she can read 37 pages in a hour. Complete the table, select the appropriate graph, and enter an equation to represent the number of pages that Amanda has left to read with relation to time. Use variable x for hours.

Answers

Answer:

I dont have an answer but here is a example I hope it helps

Step-by-step explanation: Josie selected a number n. She divided n by 2 and then subtracted ½ from the result. She took

half of that result and then subtracted ½ to get the final result of 10. What is the value of n?

Let’s start by writing Josie’s first step as an expression. Dividing n by 2, then subtracting ½ from

the result would be (n/2) – ½. If we build on this expression with the information in Josie’s

second step, we get ½((n/2) – ½) – ½. Knowing the final result is 10, we can set up the equation

below, and solve for n as follows:

½((n/2) – ½) – ½ = 10

½(n/2) – ¼ - ½ = 10 (using the distributive property)

¼n – ¼ - ½ = 10 (multiplying to eliminate the parentheses)

¼n – ¾ = 10 (combining like terms)

¼n = 10¾ (adding ¾ to both sides of the equation)

n = 43 (dividing both sides of the equation by ¼)

Fill in the blank to make an equivalent ratio.
4:7 = ______ : 56

Answers

Answer:

4:7 = 32:56

Step-by-step explanation:

4 x 8 = 32

7 x 8 = 36

Hope this helped!

PLZZZZZ give me brainliest

Answer:  32:56

Step-by-step explanation:

because first I divided 56/7=8 and then did 4*8=32. You're welcome!!! c:

A rectangular pyramid has a base that measures 8 inches by 10 inches, a height of 12 inches, and a slant height of 15 inches. Elena calculated the volume of the pyramid as shown.

Answers

Answer:

B) elena incorrectly used slant height instead of the height

Step-by-step explanation:

Point A is located at (-1.4). Point B is located at (3,2). What is the slope of the line that passes through these two points (Make sure your slope is
reduced, if possible)?
6

Answers

Answer:

Y = -1/2x + 7/2

Step-by-step explanation:

slope = -1/2

factor of 9x2 18x + 8?
Factor of 9x^2-18x+8

Answers

Answer:

(3x - 2)(3x - 4).

Step-by-step explanation:

9x^2-18x+8

Use the 'ac' method:

9 * 8 = 72.

We need 2 numbers whose product is + 72 and whose sum is -18

These are -12 and -6 so we rewrite the expression as:

9x^2 - 12x - 6x + 8       Now we factor by grouping:

= 3x(3x - 4) - 2(3x - 4)   The 3x - 4 is common so we have:

(3x - 2)(3x - 4).

The factor of the quadratic expression 9x² - 18x + 8 will be (3x - 2) and (3x - 2).

What is factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The quadratic expression is given below.

⇒ 9x² - 18x + 8

Factorize the quadratic expression, then the factors are given as,

⇒ 9x² - 18x + 8

⇒ 9x² - (12 + 6)x + 8

⇒ 9x² - 12x - 6x + 8

⇒ 3x(3x - 4) -2(3x - 4)

⇒ (3x - 2)(3x - 4)

Then the factor of the quadratic expression 9x² - 18x + 8 will be (3x - 2) and (3x - 2).

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2

Which expression is equivalent to -2(x - 5) - 9x?
11x - 5

7x + 10

-11x - 5

-11x + 10

Answers

Answer:

-11x+10

Step-by-step explanation:

-2(x-5)-9x

Distribute:

-2x+10-9x

Combine like terms:

-11x+10

Hope this helps!

-2x + 10 - 9x

-11x + 10 is the answer

if there is a remainder, express

Answers

Answer:

Once you have the answer in division the same way - divide, multiply, subtract, bring down and then you're going to let a remainder. Instead of writing R and then the number, you are going to take your remainder and make it the numerator of a fraction.

Step-by-step explanation:

I majored in Mathematics

Find the value of x.

Answers

Answer:

x=27

Step-by-step explanation:

132 + 21 = 153

180 - 153 = 27

Answer:

The inside of a triangle always equals 180 and you have angles 132 and 21. In total it's 153. Subtract 180 - 153 and you get 27.

x = 27

math work pls help :)​

Answers

Answer:

i geuss SAS is the correct answer of the question

y - 3x = 21
x - 5y = -35
solve by substitution(show steps please)

Answers

Answer:

x=-5 y=6

Step-by-step explanation:

y-3x=21

y-3x+3x=21+3x

y=3x+21

x-5y=-35

x-5(3x+21)=-35

x-15x-105=-35

-14x-105=-35

-14x-105+105=-35+105

-14x=70

x=-5

y-3(-5)=21

y+15=21

y+15-15=21-15

y= 6

Answer:

x=5

y=6

Step-by-step explanation:

That is the answer

Classify the number 0 into as many categories as it belongs: Natural number, whole number, integer, or rational number.

Answers

Answer:

whole number, integer, rational number

Step-by-step explanation:

Natural Numbers to start at 1 and do not include zero.

Answer:

0.00, 0/10, zero, 0 stuff

Step-by-step explanation:

I think

What is the verb in the following sentence? “It is too cold for ice cream.”
too
is
cold
It

Answers

Answer:

Is is the verb.

Hope u understand.... :P

Hope it helps...

Step-by-step explanation:

is because it is actually happening

cold is an ADVERB to describe something

Shane bought an 18 pound bag of dog food. He feeds his dog pound of dog food 5/3 for each meal. If Shane feeds his dog twice a day every day, how many days will the 18 pound bag of dog food last?

Answers

Answer:

18 pounds of dog food will last 3 days.

Step-by-step explanation:

We know that he has 18 pound of dog food and he is giving 3 pound of food twice every day, so 3 * 2 would be 6. So we need 6 pounds of dog food is being fed every day. Since we want to find out how much dog food 18 pound bag could last, you would divide 18 by 6 so 18/6 would get you 3. So we know 18 bag of dog food will last 3 days.

It will last for 3 days i believe.

Rebecca ran 21 miles in 5 hours. If she ran at a constant speed, how many miles did she run in 2 hours? 8.4 miles 42 miles 4.2 miles 1.2 miles

Answers

Answer: 8.4 miles

Step-by-step explanation:

d = rt

Solve for her rate

21 = 5r

r = 21/5

r = 4.2

Solve for if the time is 2 hours and rate (solved previously) is 4.2

d = 4.2*2

d = 8.4

The distance traveled by Rebecca in 2 hours is given by d = 8.4 miles and the speed is S = 4.2 miles / hour

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the total distance ran by Rebecca be D = 21 miles

The time taken by her to travel 21 miles T = 5 hours

So , the speed of Rebecca S = D / T

On simplifying , we get

S = 21/5

S = 4.2 miles per hour

Therefore , the speed of Rebecca is 4.2 miles / hour

Now , let the time taken be T₂ = 2 hours

So , the distance traveled in 2 hours , D = ST₂

D = 4.2 x 2

D = 8.4 miles

Hence , the distance traveled is 8.4 miles

To learn more about speed click :

https://brainly.com/question/19930939

#SPJ2

Describe how to find the slope and y intercept of 2x+3y=6, then describe how would you graph the line.

Answers

Answer:

Step-by-step explanation:

In order to convert the standard form equation we are given now into slope-intercept form, we need to get y on one side by itself and solve for y.

Work.

2x+3y=6

-3y        -3y

2x=6-3y

-6      -6

2x-6=-3y

/-3        /3

-2/3x+2=y

y=-2/3x+2

Now that it is in slope intercept form, we can identify the y intercept and slope.

y-int=(0,2), slope=-2/3

I would graph the line by first plotting the y-intercept at the point (0,2). From there, I would plot the slope by going down 2 blocks and moving 3 blocks to the right. Then I would connect the two points with a ruler to get my line since you only need two points to create a line.

Amelia builds and sells birdhouses. The difference between the amount she sells each birdhouse for and the cost of supplies to build each birdhouse is $20. Amelia also spends $45 on tools to build birdhouses. Which equation can Amelia use to calculate the amount of money (m), in dollars, she earns from selling b birdhouses?

Answers

Answer:

[tex]m= 20b-45[/tex]

Step-by-step explanation:

Given data

The difference between the amount she sells each birdhouse for and the cost of supplies to build each birdhouse is $20

This means that her profit = $20

the number of birdhouses = b

cost of tools= $45

Hence the amount she earns from selling b houses is given as

[tex]m= 20b-45[/tex]

Find the equation for the inverse function.
j(x) = 4vx+ 5 – 6

Answers

Answer:

To find the inverse, interchange the variables and solve for y.

j−1(v)=v4x+14x

Step-by-step explanation:

Problem: Prove that the quadrilateral defined by the points F(6,4), R(1,3), O(3,2), G(−2,1) is a parallelogram.
(Please explain!)

Answers

you can draw it on a graph like the one i did

then name the sides

and then measure them and make sure that parallel sides are equal

a must be = c and have same slope

and

b must be = d and have same slope

after doing that, you will know that this is a correct parallelogram

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