kono divides the numerator and denominator of 48 over 72 by the greatest common factor to simplify the fraction in one step. by what number does he divide?

Answers

Answer 1

Answer:

24

Step-by-step explanation:

[tex]\sf Given\:fraction:\dfrac{48}{72}[/tex]

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factors of 72:  1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

So the greatest common factor (GCF) of 48 and 72 is 24.

Therefore, to simplify the fraction, divide the numerator and denominator by 24:

[tex]\sf \implies \dfrac{48}{72}=\dfrac{48 \div 24}{72 \div 24}=\dfrac{2}{3}[/tex]

Answer 2

Answer:

24

Step-by-step explanation:

The Greatest Common Factor (GCF) is the biggest common number by which 2 numbers can be formed when multiplied

Factors of 48 and 72

48 : 1, 2, 3, 4, 6, 8, 12, 16, [24], 4872 : 1, 2, 3, 4, 6, 8, 9, 12, 18, [24], 36, 72

⇒ 24 is the GCF

Solving

[tex]\frac{48}{72} = \frac{2*24}{3*24} = \frac{2}{3}[/tex]

Related Questions

What is the sine ratio b2

Answers

keeping in mind that a rhombus is also a parallelogram, namely a quadrilateral with parallel opposite sides, however, a rhombus sides are all the same length, and its diagonals meet at right-angles, Check the picture below.

The ratio of the required trigonometric function sin b₂° as per the given measurement of the quadrilateral is equal to 39/ 50.

Let us consider quadrilateral ABCD be rhombus.

Using the properties of the rhombus,

All the sides are congruent to each other.

Here, AB = 5 cm

This implies,

AB = BC = CD = AD = 5 cm

And Intersection of the diagonal is point 'O'.

In rhombus diagonals bisects each other at 90 degrees.

Measure of angle BOC = 90 degrees.

Triangle BOC is right angled triangle.

OC = 3.9 cm

sin b₂° = opposite side / hypotenuse

           = OC / BC

           = 3.9 / 5

           = 0.78

            = 78 / 100

            = 39 / 50

Therefore, the ratio of the function sin b₂°  is equal to 39 / 50.

learn more about ratio here

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Explain how you can know whether a system of linear equations will have no solution.

Answers

A system of linear equations has one solution when the graphs intersect at a point. No solution. A system of linear equations has no solution when the graphs are parallel.

Please help with this math problem!

Answers

Answer:

1st eq ans = (x-2) by (x+6) (x-1)

2nd eq ans = x by (x+6) (x+2)

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

Lamar is comparing the cost of a fresh lobster dinner at two different restaurants. The first restaurant charges $35 for the meal, plus $4 per kilogram for the lobster he picks. At the second restaurant, Lamar would pay $3 per kilogram for the lobster, in addition to $44 for the meal. Lamar realizes that, in theory, dinner at both restaurants could cost the same amount if the lobster had a certain weight. How much would Lamar pay for his dinner? What is the weight?


Dinner would cost $__ at either restaurant if Lamar's lobster weighed __ kilograms.

Answers

Answer:

The weight : 9 pound

Lamar would pay for his dinner : $71

Step-by-step explanation:

Let x represent the weight of the lobster

the cost of the dinner at restaurant 1 is 4x + 35  

the cost of the dinner at restaurant 2 is 3x + 44

Now ,we have to solve the equation :  

4x + 35 = 3x + 44

-3x - 35   -3x  - 35    -> trying to get all x terms on one side. other just #

4x - 3x = 44 - 35

⇔ 1x = 9

⇔ x = 9

In this case Lamar would pay the same amount for his dinner at any restaurant:

the price = 4×(9)+35 = 71

               = 3×(9)+44 = 71.

Hope this helps, Let me know if you have any question/concerns !

Have a nice rest of your day :)

If the solution to a linear system of equations is x=6 and y= 2 and you graphed the two equations, where would the two lines intersect? How do you know?

Answers

The lines intersect at (x,y) = (6,2)

This is simply because the x coordinate is 6 and the y coordinate is 2.

The line x = 6 is a vertical line in which all points on it have an x coordinate of 6. It goes through 6 on the x axis.

The line y = 2 is horizontal where all points on it have a y coordinate of 2.

The vertical and horizontal lines intersect at (6,2)

Need help with system of equation 3 variable.

Answers

Answer:

Here is an example of a systems equation with 3 variables:

x+y+z=2

6x-4y+5z=31

5x+2y+2z=13

Step-by-step explanation:

Using elimination:

x+y+z=2

5x+2y+2x=13

5x+2y+2x=13

- 2x-2y-2z-4

____________

3x=9

x=9

Using substitution:

9+y+z=2

y=z-7

9+z-7+z=2

2+2z=2

z=0

Using substituion again:

9+y=2

y=-7

What is the length of the missing leg? If necessary, round to the nearest tenth

Answers

The answer is 80m
Explanation: a^2+b^2=c^2

Joe's Gym charges $20 per month with a $60 membership fee. Kim’s gym
charges an initial fee of $45 and $25 per month. Which a cheaper for 1
year?
How much cheaper?

Answers

Answer: Kim's gym

Step-by-step explanation:

$60 + $20 = $80$45 + $25 = $70

A researcher is working with two variables measured at the interval level. Which statistical tool should the researcher use

Answers

The researcher should use regression analysis, as a statistical tool,  because the researcher is working with two variables measured.

Regression analysis

Regression analysis is the most widely used statistical tool that can be used to find out the relation between a set of variables. Thus, from its results, it is possible to analyze the trend or make predictions.  In a regression analysis, it is considered the relationships between two or more variables and it is very similar to correlation.

Like the researcher is working with two variables measured at the interval level. The researcher should use regression analysis.

Read more about the regression analysis here:

https://brainly.com/question/26677136

A population of 50 timber wolves was introduced into a forest in 2009. The population is expected to grow by the function p(t)=50e. 85t, where t is in years.


a) What will be the population in 2015? Show your work

Answers

Answer:

The population is expected to grow by the function p(t)=50e.85t, where t is in years.a) What will be the population in 2015?

Step-by-step explanation:

Can you see a hypercube?

Answers

Answer:

you would use your eyes

Step-by-step explanation:

There is no other way to see a hypercube. this question does not even make sense, lol.

A square is a polygon, so all polygon are squares true or false​

Answers

Answer:

false

Step-by-step explanation:

polygons have more then 3 sides and are enclosed figures such as a pentagon may be classified as a polygon.

Edulastic
Full explanation please
*will give brainlist if able to :)

Answers

Answer:

50 degrees

Step-by-step explanation:

If AB is congruent to BC, then angles BAC and BCA are congruent.

Angle DCB+ angle BCA= 180 degrees

180 degrees- 115 degrees= 65 degrees

It means that angles BCA and BAC (which are congruent) are equal 65 degrees.

Sum of angles i side a triangle is 180 degrees so:

180 degrees- 2*65 degrees= 180 degrees- 130 degrees= 50 degrees

The angle ABC is equal to 50 degrees.

For all x, (2x + 1)^2= ?

Answers

Answer:not sure but it’s either a b c d e maybe don’t hold me to that

Step-by-step explanation:‍♀️‍♂️‍♀️‍♂️‍♀️‍♂️‍♂️‍♀️‍♀️

Answer: hii :)

E. 4x2+4x+1

Step-by-step explanation:

Expand the expression.

Hopefully this helps you!

- Matthew

What’s the answer to this problem?

Answers

Answer:

Step-by-step explanation:

LA (Lateral area) = P (perimeter of the base) x h (distance between bases)

LA = 3 x 2

LA = 6

SA (surface area) = LA (Lateral area) + (2 x B (Area of the base))

SA = 6 + (2 x 0.25)

SA = 6.5m²

Answer:

7

Step-by-step explanation:

if you imagine the shape in your head, there would be 3 rectangles and 2 triangles.

so if you want the surface area of the entire shape, you have to add the areas of each of these sides

the area of 1 triangle is (1*1)/2 = 0.5

the area of 1 rectangle is more complicated:

you would have to work out the rectangles height, which is the hypotenuse of the triangle. so you use Pythagoras, and you get 1 (if you don't know how to do this search up Pythagoras theorem)

so now you can get the area of the rectangle: 1*2 = 2

3 rectangles : 2*3 = 6

2 triangles : 0.5 * 2 = 1

6+1 = 7

tbh I'm not sure if you need to do all of this since it does say "estimate" but I'm not sure how you would estimate it.

What is the slope of the line that passes through the points (1,−7) and ( − 2 , − 7 )? Write your answer in simplest form.

Answers

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

Slope (m) = ΔY/ΔX= 0

ΔX = 2 – 1 = 1

ΔY = -7 – -7 = 0

Equation of the line:

y = 0x – 7

When x=0, y = -7

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

B

Step-by-step explanation:

subtract 4 from 9 to get 5 and then since both fractions have 12 on bottom, you can subtract 3 form 7 to get 4

since 4*3 is 12, you can factor 12 to become 3 and 4 becomes 1

Sydney took a trip to a relative’s house for Thanksgiving. She drove 65 miles per hour for 1. 5 hours and 55 miles per hour for 3. 5 hours. What was the total distance in miles that she traveled during this time?

Answers

Answer: 290 miles

Step-by-step explanation:

Distance = speed × time

(65 × 1.5) + ( 55 × 3.5)

97.5 + 192.5

write in arithmetic series in summation notation
6+12+18+24+30

Answers

the answer is going to be 90

please help me with this graphing worksheet

Answers

Answer:

240

Step-by-step explanation:

1. Let f =( (1,2) ,(2,3) ,(2,3), (5,6), (7,8) )
a.find domain and range of f
b.evaluate f (2) and f (5)

Answers

Step-by-step explanation:

Domain=1,2,5,7

Range=2,3,6,8

f(2)=3

f(5)=6

Direction:find the volume of each solid figure below.


Answers

Step-by-step explanation:

9) volum = width× lenght × height

= 2×3×7 = 42 m³

10) = 7³ = 343 cm³

Answer:

Question 9: Volume = 42m

Question 10: Volume = 343cm

Step-by-step explanation:

Volume for a rectangular prism: V = length x height x width

Question 9:

Length = 7m

Width = 2m

Height = 3m

V = (7m) x (2m) x (3m)

V = 14m x 3m

Volume for a cube: V = a^3 → this is the formula since all sides are the same length

Question 10:

Length = 7cm

Width = 7cm

Height = 7cm

V = (7cm) x (7cm) x (7cm)

V = 49cm x 7cm

V = 343

OR

V = a^3 → (7)^3

LES
Algebra 1 -Mock EOC
COUNT
3. Melissa and John get a combined monthly allowance of $300. Melissa's monthly allowance is
$20 more than half of John's monthly allowance. If x represents John's allowance, in dollars, which
equation is true?
A. x- (0.5x+20) = 300
B. x + (20+0.5x) = 300
C. x + 300=0.5x + 20
D. x + (0.5x20) = 300

Answers

Answer:

B. x-(0.5x+20)=300

Step-by-step explanation:

Because you add 20 to half of John's monthly allowance, and 0.5x is saying John's allowance divided by 2. Then you have Melissa's allowance, which then you add to John's allowance to get the total of $300 combined.

The equation that describes the situation would be; A. x-(0.5x+20)=300

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given that Melissa and John get a combined monthly allowance of $300. Melissa's monthly allowance is $20 more than half of John's monthly allowance.

When x represents John's allowance, in dollars

Since we add 20 to half of John's monthly allowance, 0.5x is saying John's allowance is divided by 2.

Now we have Melissa's allowance, which then adds to John's allowance to get a total of $300 combined.

The equation becomes as;

x-(0.5x+20)=300

Learn more about equations here;

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Can anyone help me out??

Answers

You can solve this problem by using Pythagoras.

AB = sqrt(9^2 + 8^2) = 12.04

12.0 to the nearest tenth.

. Mrs. Rojas deposited $8000 into an account paying 4% interest annually. After 8 months Mrs. Rojas withdrew the $6000 plus interest. Altogether, how much money did Mrs. Rojas withdraw? What fraction of a year's interest was earned? 760​

Answers

well, keeping in mind that a year has 12 months, that means that 8 months is 8/12 of a year, when Mrs Rojas pull her money out.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\to \frac{8}{12}\dotfill &\frac{2}{3} \end{cases} \\\\\\ A=6000[1+(0.04)(\frac{2}{3})]\implies A=6000\left( \frac{77}{75} \right)\implies A=6160[/tex]

well, she put in 6000 bucks, got back 160 extra, that's the interest earned in the 8 months.

what if she had left her money for 1 whole year, then

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &1 \end{cases} \\\\\\ A=6000[1+(0.04)(1)]\implies A=6240[/tex]

so had she left it in for a year, she'd have gotten 6240, namely 240 in interest, well, what fraction of a year's interest was earned? or worded differently, what fraction is 160(8 months) of 240(1 year)?

[tex]\cfrac{\stackrel{\textit{for 8 months}}{160}}{\underset{\textit{for 12 months}}{240}}\implies \cfrac{2}{3}[/tex]

Emma is an artist and has created 7 paintings. She plans to paint 3 additional paintings each week. What statements are true of this scenario? Check all that apply.

Answers

Answer:

The dependent variable is the total number of paintings; The total number of paintings depends on the number of weeks that have passed; and This scenario is a function because for each week that passes, there will be exactly one total number of paintings.

Step-by-step explanation:

Use the answer to "check all that apply"

Explain what the acronym PEMDAS means and how you use it when evaluating expressions.​

Answers

It mean Parentheses-exponents-multiplication/division-addition/subtraction and it is the order you do multi step equations

What is the area of the composite figure?
Will mark brainlyest!!

Answers

try the first answer 88 m^2

Answer:

  (a)  88 m²

Step-by-step explanation:

The area of a composite figure can be found by decomposing it into figures whose areas are easy to calculate. This figure can be decomposed any of several ways (as is often the case).

Drawing a vertical line down from the top-edge vertex, we can divide the figure into a trapezoid on the left and a rectangle on the right.

__

Trapezoid

The trapezoid will have (vertical) bases of 4 m and 6 m, and a height of (16-8) = 8 m. Its area is ...

  A = 1/2(b1 +b2)h = 1/2(4 +6)(8) = 40 m²

Rectangle

The rectangle on the right is 8 m wide and 6 m high, so its area is ...

  A = LW = (8 m)(6 m) = 48 m²

Total

The total area is ...

  trapezoid area + rectangle area = 40 m² +48 m² = 88 m²

The area of the composite figure is 88 m².

pls help!!!!!!!
20-27

Answers

Answer:

The probabilities would be 4/11 and 7/11 respectively.

Step-by-step explanation:

1) Total length of the given word i.e. Mathematics = 11

2) Number of vowels in the given word = 4 i.e. a,e,a,i

3) Number of consonants in the given word = 7 i.e. m,t,h,m,t,c,s

4) The probability of choosing a vowel would be 4/11 = 0.3636..

5) The probability of choosing a consonant would be 7/11 = 0.6363...

Step-by-step explanation:

Suppose that the heights of 4-year old boys are normally distributed with a mean of 103cm and a standard deviation of 4. 5. Half of all 4-year olds are shorter than:

Answers

Answer:

103 cm

Step-by-step explanation:

Half are above and half are below the mean

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