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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

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

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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Answer:

x = 1/2

Step-by-step explanation:

Step 1: Write equation

-4x + 6(4x - 3) = -8

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Part A: 3x + 15 = 5x - 25

Part B: x = 20

Answer:

-3/4

Step-by-step explanation:

Slopes are equal for parallel lines

Slope of line v is -3/4

Answer:

y = -3/4x -7

Step-by-step explanation:

hope this helps!

Answer:

x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

sure

Step-by-step explanation:

so you will have to use m= rise/ run and for ex if you have the points (4,6) and (-3,3) you would lable 4 as x1, 6 as y1, -3 as x2, and finally 3 as y2 then you would use this form to find slope m= y2-y1/ x2-x1 then you would plug in numbers 3 - 6/ -3 - 4 then you would do the math and get -3/-7 (2 negatives equal a positive) so you would get 3/7 and theres the slope the slope is 3/7

Answer:

-4x^12y^11z^4

Step-by-step explanation:

Answer: The cost of a chicken wrap is $10.99

The cost of one order of potatoes is $4.99.

Step-by-step explanation:

Let the cost of a chicken wrap be x

Let the cost of one order of potatoes be y.

From the question,

3x + 2y = $42.95 ...... equation i

5x + 4y = $74.91 ....... equation ii

Multiply equation i by 5

Multiply equation ii by 3

15x + 10y = $214.75 ..... equation iii

15x + 12y = $224.73 ....... equation iv

Subtract equation iv from equation iii. This will be:

-2y = -$9.98

y = $9.98/2

y = $4.99

Since 3x + 2y = $42.95

3x + 2($4.99) = $42.95

3x + $9.98 = $42.95

3x = $42.95 - $9.98

3x = $32.97

x = $32.97/3

x = $10.99

The cost of a chicken wrap is $10.99

The cost of one order of potatoes is $4.99.

Answer:

156

Step-by-step explanation:

Answer:

1) The information required in order to describe a translation of triangle ABC to A'B'C', are;

a) The coordinates of the vertices of the triangle ABC

b) The amount by which the triangle ABC is translated along the x-axis

c)  The amount by which the triangle ABC is translated along the yx-axis

2) The information required in order to describe a rotation of triangle ABC to A'B'C', are;

a) The coordinates of the vertices of the triangle ABC

b) The coordinates of the point about which the triangle ABC is to be rotated

c) The amount in degrees, the triangle ABC is to be rotated

2) The information required in order to describe a reflection of triangle ABC to A'B'C', are;

a) The coordinates of the vertices of the triangle ABC

b) The equation of the line about which the triangle ABC is to be reflected

Step-by-step explanation:

Answer:

im confused lol

Step-by-step explanation:

Answer:

6ft

Step-by-step explanation:

Step-by-step explanation:

slope= -1/3 (-3,0)

y=mx-or+b

y= -1/3(-3)+b

y= 3/3+b

y=1+b

0=1+b

b= -1

the equation is y= -1/3x-1

Answer:

Yes

Step-by-step explanation:

Answer:

True because if the United States is in North America which it is, a city of the United States is most likely to be in North America.

Step-by-step explanation:

Answer:

Sorry and where is your questions..

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

First we have to line them up by the decimal points...

         -12.4

       +  9.2

           -3.2

That's all after you solved it you get -3.2

Answer:

to the right of the decimal is tenths > hundredths > thousandths so since at the thousands place the following number is 0 you round down so the answer is 0

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

5x(x+4)(2x+1)(2x−1)

Step-by-step explanation:

Answer:it’s D

Step-by-step explanation: put the equation into standard form and plugged it into my graphing calculator.

Answer:

[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]

Step-by-step explanation:

System of equations

Let's set the following variables:

x=Price of chocolate pumpkins

y=Price of masks

z=Price of candy witches

We'll establish the system of equations needed to know the prices of all the Halloween treats.

Cory bought 3 chocolate pumpkins, 4 masks, and 8 candy witches and he spent $36.65. This leads to the following equation:

[tex]3x+4y+8z=36.65\qquad\qquad [1][/tex]

Josh bought 5 chocolate pumpkins, 3 masks, and 10 candy witches and he spent $37.50. This leads to the following equation:

[tex]5x+3y+10z=37.50\qquad\qquad [2][/tex]

Dan bought 4 chocolate pumpkins, 5 masks, and 6 candy witches and he spent $43.45. This leads to the following equation:

[tex]4x+5y+6z=43.35\qquad\qquad [3][/tex]

Collecting the equations [1] [2] [3], we form the system of equations to represent this problem:

[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]

Answer:

the answer to the question is A

An equation is formed of two equal expressions. The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Scientists placed 4 bacteria in a dish. The population of bacteria triples every 12 hours. Therefore, the equation that can be used to determine the number of bacteria, y, present after x days are:

y = 4(3)²ˣ

Hence, The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.

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Answer:

Step-by-step explanation:

You could make 8 different ways

24 = 1*24 = 2*12 = 3*8 = 4*6 = 6*4 = 8*3 = 12*2 = 24*1

Answer:

The first thing you need to notice is that each mark in the coordinate axis represents 2 units.

Now, let's analyze each option that maps rectangle 1 to rectangle 2.

Reflection over the line x = 1, and a translation of 2 units down.

You can see that the right end of rectangle 1 us located at x = -2

The distance between x = -2 and the line of reflection is:

1 -  (-2) = 3

Then the left end of the reflected rectangle will e 3 units at the right of x = 1.

1 + 3 = 4

Will be at x = 4, same as rectangle 2.

Now we move it 2 units down, and we will have rectangle 1 mapped into rectangle 2.

Translation of 12 units right, and then 2 units down.

The right end of rectangle 1 is at x = -2

The right side of rectangle 2 is at x = 10

The difference is 10 -(-2) = 12

Then we must move rectangle 1 12 units to the right.

Now, same as before, we can move rectangle 1 2 units down and we will have rectangle 1 mapped into rectangle 2.

Rotation of 180° around the point (1, 4)

This means a reflection over the line x = 1, followed of a reflection over the line y = 4.

We already see that a reflection over the line x = 1 leaves rectangle 1 right above rectangle 2. And the line that separates them is the line y = 4, then when we do a reflection over that line, we will have rectangle 1 mapped into rectangle 2.

Answer:

D, E, and F

Step-by-step explanation:

Answer:

n³

Step-by-step explanation:

Exponent Division Rule: [tex]\frac{b^m}{b^n} =b^{m-n}[/tex]

Step 1: Define

n⁶/n³

Step 2: Use Exponent Rule

n⁶/n³ = n⁶⁻³ = n³

Answer:

n^3

Step-by-step explanation:

Apply the exponent rule:

x^a

-----    = x ^ a-b

x^b

so basically, you're saying n ^ 6-3, which is n^3

20 + 9 is the first answer

4(20)+4(9)+4( 6) is the second answer

80+36+24=140 is the third answer :)

Answer:

1: 20 + 9

2: 4(20) + 4(9) + 4(6)

3: 140

Step-by-step explanation:

look at the picture

Answer: n = 28/4

Step-by-step explanation:

Number of leaves uses to feed each caterpillar = 4.

If Oscar has 28 leaves, the number of caterpillars n he'll be able to feed in a day will be represented by the equation below:

n = 28/4

This implies that 7 caterpillars can be fed in a day.

Answer: 498,173.26.

Step-by-step explanation:

Place value of the 9 in 329,513 = 9,000

9 is 10 times the value of the 9 in 329,513.

Then, place value of 9 in required number = 10x 9,000 = 90,000

from options only  95,826 and 498,173.26 has 9 at ten thousands place. (cancel all other options)

Also,  2 is [tex]\dfrac1{10}[/tex] the value of the 2 in 7,562.

place value of 2 in required number =[tex]\dfrac1{10}\times2=0.2[/tex]

i.e. place value of 2 in required number 2 tenths

which is in  498,173.26   [place value of 6 is  [tex]\dfrac1{10}[/tex] the value of the 6 in 4.68]

Hence, th required number is 498,173.26.

Answer:

y= −2/3x+2

Step-by-step explanation:

2x+3y=6

Add -2x to both sides.

2x+3y+−2x=6+−2x

3y=−2x+6

Divide both sides by 3.

3y/3=−2x+6/3