Find the Highest Common Factor (HCF) of 196 and 12

Answers

Answer 1

Answer:

The greatest common factor is 4

Step-by-step explanation:

1.Find the prime factorization of 12

         a) 12 = 2 × 2 × 3

2.Find the prime factorization of 196

         a) 196 = 2 × 2 × 7 × 7

To find the GCF, multiply all the prime factors common to both numbers:

          a)GCF=2x2

Therefore, GCF = 2 × 2

GCF = 4

Answer 2

The greatest common factor of the numbers 196 and 12 is 4.

What is the greatest common factor?

The largest factor of the two numbers which divides both numbers is called as greatest common factor or GCF. The greatest common factor is the largest number which can divide both the numbers.

1. Find the prime factorization of 12

12 = 2 × 2 × 3

2. Find the prime factorization of 196

196 = 2 × 2 × 7 × 7

To find the GCF, multiply all the prime factors common to both numbers:

GCF=2x2

GCF=4

Therefore, the greatest common factor of the numbers 196 and 12 is 4.

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Related Questions

You are helping to prepare a large kettle of chicken noodle soup. You need to peel 60 carrots. You have peeled 18 carrots already. It has taken you 9 minutes to peel the 18 carrots. How many more minutes will it take you to peel the rest of the carrots?

Answers

Answer:

21 minutes

Step-by-step explanation:

60 - 18 = 42

18 carrots ÷ 9 minutes = 2 carrots per minute

42 ÷ 2 = 21

Tickets to a movie cost $11 for adults and $7 for students. A group of friends purchased 8 tickets
for $76. Write a system of equations to represent the situation. How many adult tickets and
student tickets were purchased
PLEASE HELP ME

Answers

Answer:

5 Adult tickets were purchased and 3 student tickets were purchased.

Step-by-step explanation:

5 Adult tickets were purchased and 3 student tickets were purchased.

Step-by-step explanation:

Write the problem as an equation like this

11x+7x=76

Now make an equation for the number of purchased tickets. Let x be adult and y be students.

x+y=8

Rewrite x + y = 8 as y = -x +8

Substitute y = -x + 8 into the first equation for y.

11x+7(-x+8)=76

11x+(-7x)+56=76

solve for 11x+(-7x)

4x+56+76

subtract 56 from both sides

4x=20

Divide both sides by 4

X=5

x + y = 8

5 + y = 8

y = 3

5 Adult tickets were purchased and 3 student tickets were purchased.

5 adult tickets and 3 student tickets were purchased.

What are system equations?

A finite set of simultaneous equations are called system equations.

Let, they purchased x tickets for adults and y tickets for students.

Therefore, system equations are:

x + y = 8 ----- equation 1

11x + 7y = 76----- equation 2

From equation 1,  we get: x = (8 - y)

Now, substituting the value of x in equation 2, we get:

11 × (8 - y) + 7y = 76

⇒ 88 - 11y + 7y = 76

⇒ 88 - 76 = 4y

⇒ 4y = 12

⇒ y = 3.

Therefore, putting the value of y in equation 2, we get: x = (8 - 3) = 5.

Hence, 5 adult tickets and 3 student tickets were purchased.

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Find the value of X
(5x+4)°+(8x-71)°

Answers

Answer:

x = -4/5

Step-by-step explanation:

Solve for x:

(5 x + 4) (8 x - 71) = 0

Split into two equations:

5 x + 4 = 0 or 8 x - 71 = 0

Subtract 4 from both sides:

5 x = -4 or 8 x - 71 = 0

Divide both sides by 5:

x = -4/5 or 8 x - 71 = 0

Add 71 to both sides:

x = -4/5 or 8 x = 71

Divide both sides by 8:

Answer:  x = -4/5 or x = 71/8

what is the absolute value of 2+2i?

Answers

Answer:4

Step-by-step explanation:

Answer:

4 or 2

Step-by-step explanation:

The absolute value of the complex number, 2i, is 2.

8oz./1 cup = ?/12 cups. How many ounces are in 12 cups?

Answers

Answer:

12cups=96oz.

Step-by-step explanation:

multiply the volume value by 8

12 oz equals 1.50 cups. 1 ounce is equivalent to 0.125 cups, and there are 1.50 cups in 12 ounces.

In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. a. A book costs $12.99, and a video game costs $39.99. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book?

Answers

Answer:

$ 2.30

Step-by-step explanation:

Given that the sales tax rate [tex]= 8\frac{1}{2}\%=8.5\%[/tex]

The cost of the book is $ 12.99.

So, the tax on the book= 8.5% of 12.99

[tex]= \frac {8.5}{100}\times 12.99[/tex]

=1.10

So, the sales tax on the book is $ 1.10.

The cost of the video game is $ 39.99.

So, the tax on the book= 8.5% of 39.99

[tex]= \frac {8.5}{100}\times 39.99[/tex]

=3.30

So, the sales tax on the book is $ 3.40.

The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30

So, the tax on the video game is $ 2.30 more than then tax on the book.


Convert to Standard Form
13-6x-y=0

Answers

I believe this is the answer 6x+y=13

PLEASE HELP ASAP, WILL MARK BRAINLIEST

Answers

Answer:

[tex] \sqrt{5} < 2.9 \\ = true \\ \\ 4 > \sqrt{23} \\ = false \\ \\ \frac{ \sqrt{30} }{5} < \frac{7}{5} \\ = true[/tex]

Hopes it helps you ☺️☺️

Thank you ☺️☺️

Find x. Give reasons to justify your solution.

Answers

Answer:

x = 28

Step-by-step explanation:

Okay COB is vertical to AOB, so we know they equal the same. Right the equation this way.

3x + x + x + 12 = 152 (collect like terms)

5x + 12 = 152 (subtract 12 on each side)

5x = 140 (divide by 5 on each side)

x = 28

(PLUG IN)

3(28) + (28) + (28) + 12 = 152

84 + 28 + 28 + 12 = 152

152 = 152

PROBLEM SOLVING You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a
similar garden with a perimeter of 105 feet?

Answers

Answer:

5

Step-by-step explanation:

you divide 42 by 2,then get 21 so you divide that by 105 and get 5 :))

Find the slope of the line through each pair of points. (9.-14). (8-8)​

Answers

Answer:

-6

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -8- -14)/( 8 -9)

  = ( -8+14)/( 8 -9)

  6/-1

  -6

Answer:

[tex]\boxed {\tt m= -6}[/tex]

Step-by-step explanation:

The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are the points given.

The points are (9, -14) and (8,-8). Therefore,

x₁=9

y₁= -14

x₂= 8

y₂= -8

Substitute the values into the formula.

[tex]m=\frac{-8 - -14}{8-9}[/tex]

[tex]m=\frac{-8 +14}{8-9}[/tex]

Solve the numerator.

[tex]m=\frac{6}{8-9}[/tex]

Solve the denominator.

[tex]m=\frac{6}{-1}[/tex]

Divide 6 by -1.

[tex]m= -6[/tex]

The slope is equal to -6

Please answer for brainliest!

Answers

Answer:

t>28

Step-by-step explanation:

t/4>7
Multiply both side of inequality by 4
t>28

what is the equation of a line parallel to y=3x-2 and goes through the point (-1,1)

Answers

Answer:

y = 3 x − 29

Step-by-step explanation:

First, let's find the slope of the line  

y = 3 x + 2

As the equation is already in slope-intercept form  

y = m x + c

Slope =  3

Let a point  ( x , y )  be on the new line.

By finding the slope again,

y − 1 x − 10 = 3

y − 1 = 3 ( x − 10 )

y − 1 = 3 x − 30

Which can then be converted to different forms:

Standard form:  

3 x − y = 29

Equation form:  

3 x − y−29 = 0

Slope-intercept form:  

y = 3 x − 29

graph{3x-y=29 [-32.3, 47.7, -34.1, 5.9]}

Anyone wanna help?please

Answers

Answer:

x=14

Step-by-step explanation:

(8x-4)+(6x-12)=180

14x-16=180

14x=196

x=14

Find the mistake made in the steps to solve the equation below

Answers

Answer:

C. Step 3 is incorrect and should be x=10/8

Answer:

c. step 3 is incorrect and should be x=10/8

Mariah took 4 quizzes in her class during the past month. Her scores were 92, 94, 100, and 83. What was her mean quiz score?

Answers

Answer:

Her mean quiz score is 92.25%.

Answer:

92.25

Step-by-step explanation:

Mean is the same as average. Add all the scores together and then decide by the number of scores.

(92+94+100+83)÷4

369÷4=92.25

-15b - 20
factorise fully
!!!​

Answers

Answer:

-5 (3b+4)

Step-by-step explanation:

-15b - 20

-5 (3b+4)

Evaluate the following expression when a = -3, b = 2,c=5, and
d= -4.
5ac - 26

Answers

Answer:

-101

Step-by-step explanation:

5ac - 26

5 × -3 × 5 - 26 (since a = -3 & c = 5, you substitute them)

-15 × 5 - 26

- 75 - 26

- 101

I hope this is helpful.

When you mix two colors of paint in equivalent ratios, the resulting color is always the same.

Use the table below to help you answer the following question.
How many cups of yellow paint should you mix with 1 cup of blue paint to make the same shade of green?

Answers

can i see the table

What single decimal multiplier would you use to decrease by 6% followed by a 19% increase?

Answers

Answer: 13% increase?

Step-by-step explanation: 19-6=13 which means it would be 1.13 the original amount?

Answer:

1.13

Step-by-step explanation:

A 6% decrease would be 0.94 and a 19% increase after that would be 1.13

Can some one help me ASAP please

Answers

Answer:

5

Step-by-step explanation:

5 is your answer because you just multiply 69x5 and you get 345. Hope this helps :)

Evaluate.
please help

me solve this

Answers

Answer:

[tex]1[/tex] [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Hope this helps

Answer:

[tex]1 \frac{1}{4} [/tex]

Step-by-step explanation:

[tex] \frac{( - \frac{1}{2} + \frac{3}{4}) }{ \frac{1}{5} }\\ \frac{1}{4} \div \frac{1}{5} \\ 1 \frac{1}{4} [/tex]

PLEASE HELP ME!!!! l.........

Answers

Answer:

your answer is second option, maybe

Answer:

second choice 100% sure

Curtis charges a flat fee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery, Curtis drives 6 miles.

Answers

Answer: The amount would be $3.70

Step-by-step explanation: 0.20x6=1.20+2.50=3.70

Please help and explain!! I WILL MARK BRAINLIEST

Answers

Answer:

plot a graph and count it

Step-by-step explanation:

midpoint is the middle point of the line. it can be found by dividing the length of the line by 2 then counting inwards by that number.

help i need the question now lol

Answers

Answer:

no yes no yes

Step-by-step explanation:

Im pretty sure thats correct

Answer:

no yes yes no

Step-by-step explanation:

hope this help;)

There are 1275 ants in 5 anthills how many are in 1 anthill?

Answers

Answer:

There are 255 ants in 1 anthill.

Step-by-step explanation:

Do the cross multiplication method. First set the equation as 1275/5 = x/1. Then cross multiply to get 5x = 1275. Divide both sides by 5 to get 255.

There are 225 ants in one ant hill

please help me!!!!!!!!!!!!

Answers

The value of x is 3. Hope this helps
The value of x is 3 hope you did well

Leah bought a dress for the school dance that was priced ar $98.25. If the sales tax is 7.25%, how much money is added to the price?

Answers

Answer:

105.37

Step-by-step explanation:

salma cut a wire into 4 equal pieces. the wire was originally 7.88 meters long. how long is each piece?

Answers

Answer:

1.97 meters long

Step-by-step explanation:

divide meters by pieces

Please make me Brainliest

The length of each piece is 1.97 meters.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Length of the wire = 7.88 meters

Number of wire cut into equal pieces = 4

The length of each equal piece.

= 7.88 ÷ 4

= 7.88/4

= 1.97 meters

Thus,

The length of each wire is 1.97 meters.

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Other Questions
Managers who establish effective goals can enhance the performance of their employees and of their company. The manager in the scenario presented next realizes that goals are essential to improving performance. Goal setting helps motivate employees by clarifying their roles at work and establishing performance objectives. Effective goal setting is more than just asking employees to do their best or to try harder. It requires attention to key goal characteristics that increase intensity and persistence, and ultimately improve performance. The goal of this exercise is to demonstrate your understanding of goal setting by matching each employees goal with his or her goal characteristic. Match each employees goal with his or her goal characteristic. 1. Achievable Goals 2. Measurable Goals 3. Relevant Goals 4. Time-Frame Goals 5. Specific Goals 6. Reviewed Goals Match each of the options above to the items below. Carlos goal is to reduce average loan processing by fifteen percent within the next 6 months. Michelle is a salesperson. Her goal is to increase the number of sales calls made to potential customers. Sam has been reviewing customer accounts at a rate of two per day. His goal is to double that rate. That is possible, but hell have to work hard and be creative to reach this goal. Chen has been given a project, and his manager clearly communicated the quantity and quality expectations to him. Elizabeth has just been given a project which needs to be completed within 6 weeks. Kelly is most excited about adopting goals because it means shell finally have a clear measure of how well she is doing. Calculate the pH of a solution containing a caffeine concentration of 455 mg/L . Express your answer to one decimal place. what blood types are not. possible for a child if one parent has type.A blood and the other type B?A.Type BB.Type AC.Type Od. all blood types are possible In the cat hater what is recurring theme in the a story such as this How can teachers interact with children through play? A 5 Kg mass has an initial speed of 5m/s. After 3 sec, it has come to a speed of 70 m/s. a. What is the acceleration of the mass?b. What net force is acting on the mass during those 3 seconds? I NEED HELP PLEASE PICTURE ABOVE the function f(x) is shown in this graphthe function g(x) = -6x -5 the top layer of the earth is its rotation yes or no? 1. What do women wear in the clothes and hair at the Panchimalco Festival? 2. At what time do they wake up to participate in the festival? 3. What color of clothing do they wear? * Round 0.00208815 to 3 significant figures When was the only time when earth had no rocks Keiko is going for a walk.she takes 3 hours to walk 7.5 miles.what is her speed Margaret pls answer this lol You are given the following information concerning Parrothead Enterprises: Debt: 13,000 6.4 percent coupon bonds outstanding, with 15 years to maturity and a quoted price of 107. These bonds pay interest semiannually. Common stock: 345,000 shares of common stock selling for $76.50 per share. The stock has a beta of .90 and will pay a dividend of $3.80 next year. The dividend is expected to grow by 5 percent per year indefinitely. Preferred stock: 10,000 shares of 4.4 percent preferred stock selling at $86 per share. Market: 11 percent expected return, risk-free rate of 3.6 percent, and a 22 percent tax rate.Required:Calculate the company's WACC. Gianna earned $466.90 at her job when she worked for 23 hours. How much money did she earn each hour? [URGENT] By 1924, the Ottoman Empire no longer existed,and the region was divided into several different countries. The impact of the downfall of the Ottoman Empire led toa. A lack of oilb. Economic wealthc. Regional conflict between ethnic and religious groupsd. Lack of water What effect do you changing the number of enzymes will have on the amount of product made for every second If an astronaut weighs 750 N on the ground, what will he weigh in earth orbit 400 km above the earths surface? R_earth = 6.38 10^6 m, m_earth=5.9710^24 kgG=6.67410^11 Nm^2/kg^2 In the diagram, m3 = 120 and m12 = 80. Which angle measures are correct? Check all that apply.m1 = 60m13 = 80m6 = 80m5 = 60m10 = 120m 14 = 100