Use the expression 14x + 28y + 21
(Answer both questions below)

Part A: What is the greatest common factor of the expression?

Part B: Factor the expression

Answers

Answer 1

Answer:

A) 7 is the greatest common factor of the expression.

B) factoring the expression [tex]14x + 28y + 21[/tex] we get [tex]\mathbf{7(2x+4y+3)}[/tex]

Step-by-step explanation:

We are given the expression: [tex]14x + 28y + 21[/tex]

Part A: What is the greatest common factor of the expression?

We need to find the greatest common factor of the expression.

The expression is divisible by 7

So, 7 is the greatest common factor of the expression.

Part B: Factor the expression

We need to factor the expression: [tex]14x + 28y + 21[/tex]

Taking 7 common:

[tex]14x + 28y + 21\\=7(2x+4y+3)[/tex]

So, factoring the expression [tex]14x + 28y + 21[/tex] we get [tex]\mathbf{7(2x+4y+3)}[/tex]


Related Questions

Nita simplified the equation in problem 8 to 1.8 = 1.2x.
How did she get that? Is this a valid way to solve the
equation? Explain.

Answers

Answer:No

Step-by-step explanation: No,this is not an valid way to solve the equation because you can’t multiply 1.2 with anything to get 3

I used half the sugar to make cookies then I used another 2 cups for a really big cake I had 4 cups of sugar left how many cups of sugar did I start with

Answers

Answer:

12 cups of sugar

Step-by-step explanation:

Total cups of sugar = x

Cookies = 1/2x

Big cake = 2 cups

Sugar left = 4 cups

x = 1/2x + 2 + 4

Collect like terms

x - 1/2x = 6

1/2x = 6

Divide both sides by 1/2

x = 6 ÷ 1/2

= 6 × 2/1

= 12/1

x = 12 cups of sugar

The kitchen in Mario's Italian restaurant is 18
meters long and 12 meters wide. A square
pantry is connected to the kitchen area. The
pantry is 3 meters wide. What is the total area
of the kitchen and pantry?

Answers

the total area of the kitchen and the pantry is 224 square meters

❗️HELP❗️
What is the RANGE of this input/output table???


Answers:

A. 2

B. 1,2,4,5,6

C. 2,4,5,6

D. 1,2

Answers

Answer:

if im not wrong its 1 and 2

Can somebody plz help answer both the word problem question and number 24. (I can’t find the right answers) :(

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD

Answers

Answer:

23:600

24

a12

b27

c36

d45

Step-by-step explanation:

23.

5/9 = ?/1080

1080/9 = 120. 120 × 5 = 600

So there are 600 students who voted for the winning candidate in the school.

24.

Length : width

4 : 3 (we need to cross multiply and solve the equation in order to find the answer to these)

x : 16 <- 16 × 4 = 64. 3 × x = 3x. 64 = 3x. 64/3 = 21 1/3. 21.3:16

x : 26 <- 26 × 4 = 104. 3 × x = 3x. 104 = 3x. 104/3 = 34 2/3. 34.6:26

x : 48 <- 48 × 4 = 192. 3 × x = 3x. 192 = 3x. 192/3 = 64. 64:48

x : 60 <- 60 × 4 = 240. 3 × x = 3x. 240 = 3x. 240/3 = 80. 80:60

Order from least to greatest: 1, -3, -6, 5, 0 *
Your answer
I
Please fill out this field.

Answers

Answer:

-6,-3,0,1,5

Step-by-step explanation:

u don't need an explanation for this, right?

Jakob used the table shown to find a ratio which is equivalent to 5:9.

a multiplication table here

Which ratio is equivalent to 5:9?
10:36
10:27
20:27
20:36

Answers

Answer:

20:36

Step-by-step explanation:

5 x 4 = 20

9 x 4 = 36

Final answer: 20:36

What is the range of the following numbers?
12, 20, 18, 25,6

Answers

Answer:

The range is 19.

Step-by-step explanation:

What you do is you find the highest number (25) and subtract the lowest number (6) to find the range. super easy!

P.S Can I have brainliest?

Answer:  19

Step-by-step explanation:

To find range subtract lowest number (6) from (25) =19

write a equation to find the "n" term of each sequence

1,3,5,7,....

Answers

Answer:

a1=1

d=3-1

=2

an=a1+(n-1)d

=1+ (n-1)2

=1+2n-2

2n-1

what is the answer to this eqution 3.5(x+2)=-4 ? could you please help me thank you

Answers

Answer:

x=-3.14

or -3 with -.5 remainder

Step-by-step explanation:

PEMDAS

Parenthesis Exponent Multiply Divide Add Subtract

parenthesis  3.5*x=3.5x 3.5*2=7

3.5x+7=-4

subtract 7 from both sides

3.5x=-11

divide both sides by 3.5

x=-3.14

or -3 with -.5 remainder

Answer:

x=-22/7

Step-by-step explanation:

multiply 3.5 and x then multiply 3.5 and 2. this will get you 3.5x+7=-4. next you need to subtract the 7 from the -4, resulting in 3.5=-11. finally divide -11 and 3.5, after that you get the answer of x=-22/7 or -3 1/7. if you need decimal form that will be -3.142857

Which math expression means "the difference of 40 and 12"?
O A. 40.12
O B. 40 + 12
O C. 40 - 12
O D. 40 = 12

Answers

Answer:

Step-by-step explanation:

is C

40-12

Answer:

O C. 40 - 12

difference means the range between the two given values

Mr Andy’s class needs $7,000 dollars to buy a graphing calculator. On Friday, they had saved $1,750. On Monday, the students brought in $380 more. How much more money does the class need to save to buy the calculator?

Answers

Answer:

$4870

Step-by-step explanation:

1,750+380=2130

7000-2130=4870

Hope this helps; have a great day :)

Answer:$4,870

Step-by-step explanation:

1,750+380=2130

7000-2130=4870

1 /2 + 3/ 4 ÷ 1/3 –1( they are fractions)

Answers

Answer:

2 2/4

Step-by-step explanation:

1.75 or as a fraction it can be written as 1 3/4 or 7/4

Explain why i^3 is equal to i^47? Why

Answers

Answer:

i is probably 1.

Step-by-step explanation:

1^3 is equal to 1

1^47 is equal to 1

Write an equation of the line that is the perpendicular bisector of the line segment having endpoints
(3,-1) and (3,5).

Answers

Answer:

Equation of perp/bisector: y = 2

Step-by-step explanation:

The equation of the line that is the perpendicular bisector of the line segment having endpoints (3, -1) and (3, 5) is y = 2.

What is the equation of a line?A straight line's general equation is y = MX + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Key Concept. Y = MX + c represents the equation of a straight line with gradient m and intercept c on the y-axis.

Perpendicular bisector:

Lines that cross each side's midpoint and are perpendicular to the specified side are known as a triangle's perpendicular bisectors.

Key concept:

Y = MX + c represents the equation of a straight line with gradient m and intercept c on the y-axis.

Slope through the indicated points:

(5--1)/(3--3) = undefinedThus, m = 0 is the slope of the perpendicular bisector.Midway along the segment, x = (3+3)/2 = 3 and y = (-1+5)/2 = 2.The midway is (3,2), and the line is horizontal through if slope = 0. (3,2).

The equation of the line that is the perp/bisector of the line segment is y=2.

Therefore, the equation of the line that is the perpendicular bisector of the line segment having endpoints (3, -1) and (3, 5) is y = 2.

Know more about Line's equation here:

https://brainly.com/question/18831322

#SPJ2

(-4,1) (0,5) in slope-intercept form

Answers

Answer:

F(x)=1x+5

Step-by-step explanation:

Answer:

y = x + 5

Step-by-step explanation:

(-4, 1) and (0, 5)

To find slope, it's [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]

So 5 - 1 / 0 - (-4) -> 4/4 = 1

1 is the slope, so y = x + b.

To find b, plug one of the points into the formula. I'll use (0, 5).

(5) = 1 (0) + b

b = 5

So the equation in slope-intercept form is y = x + 5.

geometry:(

*image shown above*

Answers

Answer:

y-1=-7/2*(x+3)

Step-by-step explanation:

Which of the points A (5, −3),B (−2, 4), C (0, 0),D (2, 1), E (−5, 2.5) belong to the graph of the direct variation y = 1/2 x ?

Answers

Answer:

A (5,-3) does not belong

B (-2,4) does not belong

C (0,0) belongs

D (2,1) belongs

E (-5,2.5) does not belong

Step-by-step explanation:

To find the answer, you'll need to know

what is the number in half? If (x,y) is like

10,5 then that will belong.

Can someone help me with question 12A please? Thank you!

Answers

Answer:

Step-by-step explanation:

SOORY

Solving One Step Equations. SHOW YOUR WORK
-6 = b/16 solve to find b

Answers

Answer:

-96

Step-by-step explanation:

multiply both sides by 16

I need help cause I’m lazy to do it myself it’s 4 in the morning

Answers

Answer:

C. Mario should have multiplied the x-values by $6.50 to get the y values.

Step-by-step explanation:

Let's do it the way they said. If we were to multiply 1 by 65, it would be $65. If we did the same thing for 2, 2 x 65 is $130. This is incorrect because these values do not match up with the ones on the graph.

Decimal points are important in this case because it completely changes your answer. When you multiply 1 by 6.50, you get 6.50. Which is what's on the graph. Multiply 2 by 6.50 and you'll get $13, and so on.

So now we can conclude that the mistake Mario made was that he multiplied x by the wrong value (65), when it should have been $6.50.

Note: Hope this helps! Good luck on your test. :)

there is a proportional relationship between time in hours and time in days.
A) what is the constant of proportionality?
B) what equation describes this relationship?

Answers

Answer:

maybe B because this answer fits the question more for me

I can't help you because I'm also stuck on this question for mathematics in middle school, and it's hurting my brain just trying to figure it out :[

Pls help I’m bad at math no matter how much I try

Answers

Answer:

no it is not

Step-by-step explanation:

HELP PLEASE :( I WOULD APPRECIATE SO MUCH
How many solutions does the system of linear equations represented in the graph below have?

Answers

Answer:

It has no solution because the two lines would never meet since they have the same slope of -3

Answer:

No solution because the lines are parallel

a teacher buys all 5 books. She pays with a $100 bill. How much change should she get

Answers

Answer:

how much are the books. ????

Answer:

How much does each book cost?

Of the 80 girls in Joy's class, 24 have blond hair. What percent of girls in Joy's class have blond hair?

Answers

Answer:

30%

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

To determine the percentage of the girls with blonde hair...it means we will have to use this formula

Number of girls with blonde hair/total numbers of girls ×100

Number of girls with blonde hair is 12

Total number of girls is 80

Therefore,12/80 ×100

1200/80

120/8

15

Therefore the percentage of the girls with blonde hair is 15%

PLEASE HELP!!!!! MEEE

Answers

Answer:

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

Step-by-step explanation:

A block of silver is weighing 8 ounces is worth $104. What is the unit rate for the Value of silver in one ounce

Answers

Answer:

5

Step-by-step explanation:

Need help finding x.

Answers

Answer:

Step-by-step explanation:

SOH CAH TOA  to help remember how the trig functions fit on the triangle

use  SOH since we know the angle and the hypotenuse and want to find the opposite side

Sin(x)= Opp/ Hyp

Hyp* sin(38) = Opp

12* 0.6156614753 = Opp

7.3879377...

7.4  is the answer  

ANSWER QUICK PLEASE the following graph shows the solution to which inequality?

Answers

I think it’s C I might be wrong tho.

Answer:

D. 5>-3w+17

Step-by-step explanation:

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