What is the simplified form of startroot startfraction 48 over 192 endfraction endroot?

Answers

Answer 1

By the use of factor decomposition and algebra properties, we conclude that the rational number 48/192 is equal to the rational number 1/4.

How to simplify rational numbers

In this question we should simplify a rational number into its simplest form based on two facts. First, that all natural numbers except 1 and the prime numbers are products of prime numbers and, second, the simplification of the fraction can be done by using the following algebra property:

(a · c)/(b · c) = a/b, where a, b, c are natural numbers.     (1)

Along with power properties.

Now we proceed to simplify the rational number:

48/192 = (2⁴ × 3) / (2⁶ × 3)

48/192 = 1 / 2²

48/192 = 1 / 4

By the use of factor decomposition and algebra properties, we conclude that the rational number 48/192 is equal to the rational number 1/4.

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Answer 2

Answer:

4

Step-by-step explanation:


Related Questions

what is the density of a pine log if the weight is 42.63 lbs, radius 5 in, length 30in

Answers

Answer:

Step-by-step explanation:

density is weight divided by volume. And the volume of a log is like a cylinder.

V=hpi(r^2) in this case

V=25(30)pi=750pi so

d=(42.63)/(750pi)

d=0.018 lb/in^3

find the product of (2x^2+2x-3)(4x^2-3x+6

Answers

Answer:

=8x^4+2x^3−6x^2+21x−18

Step-by-step explanation:

(2x2+2x−3)(4x2−3x+6)

A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered. How much does the store charge for the one additional turkey sub?

Answers

Answer:

Seven dollars

Step-by-step explanation:

please help me what is the answers

Answers

Answer:

What is your question. Please refer to a single question.

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

1) Melanin

2) rare albino snake

3) c

4) a

5) c

6) a

At her most recent race, Sue finished in 272 minutes. That is 15% less time than the previous race. What was her time in the previous race?

Answers

Answer:

320 minutes was her time on the previous race

Step-by-step explanation:

Let the time spent on the previous race be x minutes.

Given that at her most recent race, Sue finished in 272 minutes which is 15% less time than the previous race then

x - 15% * x = 272

x - 0.15x = 272

0.85x = 272

x = 272/0.85

x = 320 minutes

I REALLY NEED YOUR HELP PLEASEEE ASAAAAPPPPP THE QUESTION GOES LIKE THIS, if bob has 1 apple and jimmy has 1 apple what will be the total of all the apples? PLESE HELLPPPPP

Answers

Answer:

2

Step-by-step explanation:

Answer:

the apple will be 1

.............

can somebody please help me with this I’m currently failing this class .. I’ll really appreciate it

Answers

umm so

Step-by-step explanation:

wait ill answer that just now let me work it out

show that the ratios 14/18 and 28/36 form a proportion by finding a common multiplier.

Answers

Step-by-step explanation:

divide it by 2...............

Which graph represents an exponential function?

Answers

The second graph represents the exponential function

Answer:

second which would be c for edg

Step-by-step explanation:

4. Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually-painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts. (f) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.

Answers

Complete question :

Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts.

(a) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.

(b) Sarah’s and Toby’s mother says the order she is filling needs 158 charms. How many bracelets were purchased in this order?

(c) Toby says they don’t have enough charms to fill an order that needs 264 charms. Sarah says it’s notpossible for an order to need 264 charms. Is Sarah right? Why or why not? Justify your answer.

Answer:

y = 17x + 5 ;

9 bracelets ;

Sarah is right

Step-by-step explanation:

Contents per bracelet :

Small charms per bracelet = 12

Large charms per bracelet = 5

Blank spacer charms per order = 5

Number charms, y needed for X bracelets in an order ;

1 order ; x bracelets

12 + 5 = 17 small and large charms

5 = black spacer charms per order

y = 17x + 5

B.)

Order requiring 158 charms, number of bracelets :

y = 158

158 = 17x + 5

158 - 5 = 17x

153 = 17x

x = 153 / 17

x = 9 bracelets

Order requiring 264 charms

y = 264

264 = 17x + 5

264 - 5 = 17x

259 = 17x

x = 259 / 17

x = 15.23 bracelets

Sarah is right, the number of bracelets should be a positive integer and not a decimal.

GIVING BRAINLIEST AND 39 points I3. Pls help with all !Which cellular process occurs within the
organelle shown above? sc.8.L.18.2
A cellular respiration
B photosynthesis
C transport of phloem
D transport of xylem

Answers

2. Chlorophyll
3.B
4. B
5.C

Do the ratios 4/12 and 10/30 form a proportion? yes or no

Answers

Answer:

Yes because you can multiply the numerator and denominator by 2.5 to get 10/30 so it is proportional

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

it makes 2/3 when reduced

Please help ❤️❤️❤️❤️❤️❤️

Answers

Answer:

[tex]\frac{-1}{7}[/tex] or 0.14

Step-by-step explanation:

To find slope you can use the formula

mx=[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

or

[tex]\frac{rise}{run}[/tex]

Rise over run:

Rise over run is the easiest of the two so we'll be using that one first for this question, but both should give you the same answer

To find rise over run, select the points and see how many points up or down you must got to make it the same level as the other point

In this case, the point (-3,1) would have a run of -1 because you have to move down one

To find run, now that you have rise start from that point and count how far you have to go to get to the next point. You should be going in a straight line.

The run would be 7.

Now you make it a fraction/division problem

[tex]\frac{rise}{run} =\frac{-1}{7}[/tex]

-0.14285714285714285714285714285714 <- decimal value

-0.14

Depending on what it means by reduce, your answer will either be -1/7 or the decimal. Use the reduced decimal value if it's asking for a decimal

I've included a picture in case my explanation was not satisfactory or you need a visual.

Slope form:

Identify the two points

First one will be (-3,1)

Second one would be (4,0)

Now label them

-3 will be x1

1 is y1

4 is x2

0 is y2

You will be using [tex]\frac{y2-y1}{x2-x1}[/tex]

Put the values into the equation

[tex]\frac{0-1}{4--3} =\frac{0-1}{4+3} =\frac{-1}{7}[/tex]

You get the same thing as the previous way.

Same answer

Visuals also included

I hope this helps and don't be afraid to reach out with further questions!

how many minutes would it take rachel to jog 3 miles if she jogs 1/15 mile every minute

Answers

Answer:

3 mi * 15 min/mi = 45 min

Step-by-step explanation:

3W + 2n - W + 8 + 3
how do you simplify this expression ?

Answers

3w+2n-8w+3 I think but don't get me wrong

2w+2n+11 this should be the correct simplified expression

Kindle wrote a five page report with 250 words per page how many words are in the report ?

Answers

Answer:

The answer is 1250

Step-by-step explanation:

5×250=1250

Answer:

1250

Step-by-step explanation:

number of words on one page= 250

number of pages= 5

total number of words=250 x 5

=1250

There 1250 words in the report

PLEASE MARK ME AS BRAINLIEST!!!!!

R
E
D
2x – 14
S
x + 2
F

Answers

Answer:

evt iwkkkoeoeooeieieieiekkekwkwkwkkwkwkwkwkkw

A deli sells small, medium, and large sack lunches. Each bottle of water costs $1, and each apple costs $1. Each sandwich costs s dollars. Some customers buy sack lunches, and some customers buy items separately.
Amy buys 8 sandwiches and 12 waters.her total cost is 8s+12 how much did she pay.

Answers

Answer:

unknown

Step-by-step explanation:

it doesn't tell you anything about the total cost of amy, you can't go backwards and reverse the equation

8+12=$20

Step-by-step explanation:

just add them up since they all cost $1

The area of the triangle above will equal one half of a rectangle that is 5 units long and __ units wide. (Input only whole numbers, such as 8.)

Answers

Answer:

2

Step-by-step explanation:

Find the diagram attached

The Base of the triangle will be equivalent to the the length of the rectangle

Since the base of the triangle is 5units, hence length of the rectangle is 5units

Similarly, the height of the triangle is corresponding to the width of the rectangle

Since the height of the triangle is 2 units, the rectangle will be 2 unts wide. Hence the required answer is 2units

Help please please please! WILL MARK BRAINLIST

Answers

Answer: I think it is A or B

Step-by-step explanation:

What is 3/8 simplified and divided please show steps

Answers

Answer:

0.375

cannot be simplified more.

Step-by-step explanation:

three is prime, meaning it can only be divided by 1 and itself. When you see a prime in a fraction, you cannot simplify anymore without accidentally making it more complicated. Divided would just be the decimal form. The decimal form of 1/8 is 0.125, so if you multiply it by three you should get 3/8=0.375

i need help with these two due today plssss help me

Answers

Answer:

10. 264

11. 13

Step-by-step explanation:

10- When we are doing perimeter we add all the sides together. Since it's a square this time, we know all the sides are even at 66ft.

 66+66+66+66= 264

 I added 4 times for each side we have and we get the perimeter of 264

11- When dealing with area, all we need is two numbers. To get area we multiply the length and width. If we have the area and want either length or width, we can still easily do that. All we have to do is divide the area from your given number.

 65 divided by 5 is 13

 Area divided by Length is Width

Answer:

#10= 264

#11= 13

Step-by-step explanation:

#10: We can see that this is a square because it says so in the question so we can assume that if it is a square then all the lengths and widths are 66 feet. 4(66) = 264 or 66+66+66+66 = 264

#11: 65/5 = 13 because it is dealing with area, simply just divide the total of area by the known length to get the width.

Which of the following values is the solution to the equation
-16 + x = -30 ?

-2
-14
-46
-480

Answers

Answer:

-14

Step-by-step explanation:

so we see -30-(-16)=-30+16=(-14)

hope it helps you

please mark me as brainlist

What equivalent to 4 3/4

Answers

19/4 I believe that is the answer Explination: 4x4+3=19

Answer:

Greeetings!

Step-by-step explanation:

4 3/4 =

Improper fraction - 19/4

Decimal form - 4.75

Hope this helps! :)


What is the GCF of 45x^5
and
36x^9

Answers

Answer:

9x^5

Step-by-step explanation:

the factors of 45:

1, 3, 5, 9, 15, 45

the factors of 36:

1, 2, 3, 4, 6, 9, 12, 18, 36

Greatest common is 9

Answer:

The answer is 3

Step-by-step explanation:

because I said so

[tex]18 = -5b - 17[/tex]

Answers

Answer:

b = -7

Step-by-step explanation:

18 = -5b-17

Add 17 to each side

18+17 = -5b-17+17

35 = -5b

Divide each side by -5

35/-5 = -5b/-5

-7 = b

Which of the following ordered pairs is a solution to the equation 4x+4y=4? Select all that apply.

Answers

Answer:

okay, the answers are: (-9, 10), (-4, 5), and (-13, 14)

Step-by-step explanation:

hope this helps

Find the measure of an angle and its complement if one angle measures 18 degrees more than the other?

Answers

Answer:

x+18=90-x

use this equation and solve

2x=72

x=36

36+18=54

90-54=36

54 degrees and 36 degrees

The solution is,  the measure of an angle and its complement are, 54 degrees and 36 degrees.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

here, we have,

let, one angle = x

x+18=90-x

use this equation and solve

2x=72

x=36

so, we get,

36+18=54

90-54=36

Hence, The solution is,  the measure of an angle and its complement are, 54 degrees and 36 degrees.

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A company has recently been hiring new employees. Today the company has 35% more employees than it did a year ago. If there are currently
43,200 employees, how many employees did the company have a year ago?

Answers

Answer:

28,080

Step-by-step explanation:

Turn 35% into a decimal (.35)Multiply .35 by the amount of current employees (.35 * 43200 = 15120)Subtract the current amount of employees (43200) by 15120 (the amount of employees that joined) which should be 28080. This is your answer.
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