Factor the expression using the GCF. A. 2(4a + 8c) B. 4(2a + 4c) C. 8(a + 2c) D. 16( 12 a + c) Not multiple choice

Answers

Answer 1

Note: The expression is missing. Consider the expression is [tex]8a+16c[/tex].

Given:

The expression is

[tex]8a+16c[/tex]

To find:

Factor form of the given expression by using GCF.

Solution:

We have,

[tex]8a+16c[/tex]

Factors of each term:

[tex]8a=2\times 2\times 2\times a[/tex]

[tex]16c=2\times 2\times 2\times 2\times c[/tex]

The common factors are 2, 2 and 2. So,

[tex]GCF(8a+16c)=2\times 2\times 2[/tex]

[tex]GCF(8a+16c)=8[/tex]

Taking out the greater common factor (GCF) in the given expression, we get

[tex]8a+16c=8(a+2c)[/tex]

Therefore, the required expression is [tex]8(a+2c)[/tex] and the correct option is C.


Related Questions

Which would be the most appropriate way to estimate -6.1(0.22)

Answers

Answer: Answer is 1

Step-by-step explanation:

I need help!!!!!!!!!!!!!!!!

Answers

split the figure into 3
area of rectangle is length x width
3x6=18
5x3=15
3x6=18
add them together
18+18+15=51

Step-by-step explanation:

1.2(3cm)×2(6cm)

6cm × 12cm

=72cm²

2. 2(5cm)×2(3cm)

10cm×6cm

60cm²

3.2(6cm)×2(3cm)

12cm × 6cm

72cm²

72cm²+60cm²+72cm²

=204cm²

Which equation represents a nonproportional relationship? Which equation represents a nonproportional relationship? A y = 5x B y = 5x + 3 C y = −5x D y = − 1 5 x

Answers

Answer:

y = 5x + 3 is a nonproportional relationship.

Step-by-step explanation:

We need to find the equation that represents a nonproportional relationship.

If y is directly proportional to x, it would mean that,

y ∝ x

y = kx

Option (b) shows the equation of a line i.e. y=mx+x, where m is slope and x is y-intercept.

Hence, we can say that option (b) represents a nonproportional relationship.

A box contains ten cards labeled Q, R,S ,T ,U ,V ,W , X, Y, and Z . One card will be randomly chosen.
What is the probability of choosing a letter from Q toT ?
Write your answer as a fraction in simplest form.

Please help my day is going so bad ive litterally cried 5 times already and im so streesed with online school and having so much homework its just so difficult please help IM SO STRESSED :(

Answers

Answer:

10 cards. q to t is 4 of them- so 4 out of 10. 4/10. simplified 2/5

Given the two equations:
y + x = 5
-2x = -1
0) Draw the graphs of both equations on the same pair of axes by using a scale of 1cm to
represent 1 unit on both axes.

Use your graph to determine the point of intersection.

Answers

Answer:

Step-by-step explanation:

I can draw graphs on the application

eq1)  is a line through y = 5 with a negative slope of -1    y = -x + 5

eq2) is a vertical line at x = 1/2  NO y intercept or slope  

       -2x = -1 --->  x = -1/-2    =  1/2

They intersect at    

       y = -x + 5      and x = 1/2      Substitute x=1/2 into

       y = -1/2 + 5

       y = 4.5

intersect at  (1/2, 4.5)

       

Jo is playing a game in which he must roll a die and toss a coin. What is the probability that Jo will roll a 6 and toss a heads? Make a list to support your answer.

Answers

Answer:

1/ 12

Step-by-step explanation:

Sample space :

(H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6)

Probability = required outcome / Total possible outcomes

Required outcome = roll a 6 and toss a heads = 1

Total possible outcomes = sample space = 12

= 1/12

Five times a number is 28 greater than the product of the number and -2. Find the number

Answers

Answer:

4

Step-by-step explanation:

Let the unknown number be x

Five times the number is expressed as 5x  

28 greater than the product of the number and -2 is expressed as;

28 + (-2x)

Equating both expressions

5x = 28 + (-2x)

5x = 28 - 2x

5x+2x = 28

7x = 28

x = 28/7

x = 4

Hence the number is 4

Please answer the question above.

Answers

Answer:

5.3!

Step-by-step explanation:

( in case you need work ) the angles are congruent so you set them equal to each other!

6x+12=9x-4

you then get 16=3x then divided its 5.3!

Line A passes through points (-1, 5) and (3, -1). Line B passes through points (7, 2) and (6, -1).
At what point does line A intersect line B?

Answers

Answer:

          At (5, -4)

Step-by-step explanation:

The slope of a line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The equation of the line that passes through given point with a slope of m:  

y - y₁ = m(x - x₁)

Line A:

 [tex]m=\dfrac{-1-5}{3-(-1)}=\dfrac{-6}4=-\dfrac32[/tex]

[tex]y-5=-\frac32(x+1)\\\\y=-\frac32(x+1)+5[/tex]

Line B:

 [tex]m=\dfrac{-1-2}{6-7}=\dfrac{-3}{-1}=3[/tex]

[tex]y-2=3(x-7)\\\\y=3(x-7)+2[/tex]

Point of intersect means the same coordinates x and y.

So:

       [tex]3(x-7)+2=-\frac32(x+1)+5\\\\3x-21+2=-\frac32x-\frac32+5\\\\3x-19=-\frac32x+\frac72\\\\6x-38=3x+7\\\\6x+3x=7+38\\\\9x=45\\\\x=5\\\\y=3(5-7)+2=3(-2)+2=-4[/tex]

2(x+3)=5x-6-3x true or false

Answers

Answer:

False

Step-by-step explanation:

LHS = 2x + 6

RHS = 2x - 6

LHS is not equal to RHS

False
Expand 2(x+3) = 2x +6
5x-3x-6=2x-6
2x+6 is not equal to 2x-6

A used book store is selling 3 records and 5 CDs for $60. You can also buy 6 records and 4 CDs for $80. Find the cost of one CD. Write the linear system that describes this situation.​

Answers

9514 1404 393

Answer:

  3r +5c = 60

  6r +4c = 80

Step-by-step explanation:

There are many aspects of "this situation" that could be described by equations. We are guessing that you want equations that will help you determine the costs of a record and a CD, assuming the costs are the same for each instance of the media.

Let r and c represent the costs of a record and a CD, respectively.

  3r +5c = 60 . . . . . . . the value of the first purchase

  6r +4c = 80 . . . . . . . the value of the second purchase

These equations comprise a linear system describing an aspect of the situation.

_____

Comment on the question

The numbers make no sense, as the cost of a CD is $(6 2/3), the cost of a record is $(8 8/9).

. Mr. Jenkins deposited $1,250 into an account. He made no additional
deposits or withdrawals. Mr. Jenkins earned 4.25% annual simple interest
on the money in the account.
What was the balance in dollars and cents in Mr. Jenkins account at the
end of 4 years?
Record your answer on the grid.
Be sure to use the correct place value.

Answers

Answer:

$1,462.50

Step-by-step explanation:

To find the percentage, multiply 1,250 by 0.0425, giving us 53.125. Multiply this by the 4 years, giving us a total of 212.5. Add 212.5 and 1,250, leaving us with his total, $1,462.50

Hope this helps!

10. A bag contains black and white marbles. Overall, there are 36 marbles in the bag. If there are
14 more black marbles than white marbles, how many of each color are in the bag?
Equation #1
Equation #2
black marbles
white marbles

Answers

Answer:

25 black and 11 white

Step-by-step explanation:

lets say black marbles are x and white marbles are y

x+y=36

y+14=x

So: y+14+y=36

2y=22

y=11

Hence, x=25

Hope that helps!

i need help and you don't have to show your work

Answers

Answer:

75

Step-by-step explanation:

Two straight lines are shown.

Answers

Answer:

(3,20)

Step-by-step explanation:

so O must be 0,0 and A is a midpoint of OB

This means B must be (14,12)

B is the midpoint of TS.

This means that the distance of SB is equal to the distance of BT.

This must mean that the coordinate of T must be (3,20)

O: (0,0)    x coordinate increases by 7. y coordinate increases by 6.

A: (7,6)

B: (14,12)

S: (25,4)    x coordinate decrease by 11. y coordinate increases by 8.

B: (14,12)

T: (3,20)

The coordinates of T are (3, 20).

What is Straight Line?

A straight line is an endless one-dimensional figure that has no width.

From the figure, A is the midpoint of OB and B is the midpoint of TS

The coordinates of O are (0, 0) and Coordinates of A are (7,6)

We can find coordinate of B.

(7, 6)=(0+x/2, 0+y/2)

(7,6)=(x/2, y/2)

x/2=7   and    y/2=6

x=14               y=12

So the coordinates of B are (14, 12)

Now we can find the coordinates of T.

(14, 12)=(X+25/2, Y+4/2)

X+25=28

x=3

Y+4=24

Y=20

So the coordinates of T are (3, 20)

Hence, the coordinates of T are (3, 20).

To learn more on Straight lines click:

https://brainly.in/question/5952912

#SPJ2

What is the equation of a line with a slope of 2 and a y intercept of -5?

Answers

Answer:

y=2x-5

Step-by-step explanation:

The slope is how you move so you could also call it m

The y intercept is where you begin so you could call it b

So every time you need to find the equation or which one is like the slope just remember m=move b= begin

y=mx+b

Need Help ASAP! Use pie as 3.14.Please solve thoroughly please and thank you!

Answers

No need to use pi for this problem! So we're finding the area of a trapezoid. It's made up of: a square with length and width 2, and two triangles with a base 2 and height 2.

Area of a triangle formula is [tex]A = \frac{1}{2} B\cdot h[/tex]

[tex]A = \frac{1}{2}\cdot2\cdot 2[/tex]

[tex]A = \frac{1}{2}\cdot 4[/tex]

[tex]A = 2[/tex] units^2

And since the two triangles are the same, the other triangle has the same area: 2 units^2

For the square we can use [tex]A = l\cdot w[/tex]  

[tex]A = 2 \cdot 2[/tex]

[tex]A = 4[/tex]

Combine the areas: the total area is 2 + 2 + 4 , = 8 units^2

Answer:

8 units²

Step-by-step explanation:

In order to find the area of this trapezoid, you can apply the formula for the area of a trapezoid: ([tex]b_{1}[/tex] + [tex]b_{2}[/tex]) × h/2

In the equation, you already know base one (2) and the height (2), but base two isn't given. To find the length of the whole base, you need the length of the other side of the square: You can tell that it is two because the two given sides of the square are 2.

Since you now know that the length of the missing side of the base is 2, you can add the three values given to get the base length:

2 + 2 + 2 = 6

Now, you have all the information needed to find the area of the trapezoid. Input them all into the equation:

([tex]b_{1}[/tex] + [tex]b_{2}[/tex])*h/2 where [tex]b_{1}[/tex] is 2, [tex]b_{2}[/tex] is 6, and h is 2,

(2 + 6) × 2/2

= 8 × 1

= 8 units²

what two number multiply to make -36 as well as add to make 16

Answers

-12 x 3 = -36

-6 x 6 = 36

-8 x 2 = -16

-4 x 4 = -16

The state decided that the angle a wheelchair ramp
makes with the ground should be no more than 4.3º.
a) What is the maximum height of a 25-foot ramp? Round
to the nearest tenth of a foot.
b) What distance along the ground would this ramp
cover? Round to the nearest tenth of a foot.
Maximum height =
ft.
Distance along the ground =
ft.

Answers

If I’m correct I believe the answer is gonna be B

If x > g and g = 8, which set of numbers could represent x? Remember the whole set of numbers, must make this inequality true.

Answers

Answer: all numbers 9 and up.

help me plssssssssssssssssss

Answers

Answer:

kmkioppppppppoiiu yw quip all cm ms all pure 100.00

Riley can paint 1/5 a room in 1/10 of an hour. At what rate does she paint?

Answers

Answer:

Working together, Bill and Tom painted a fence in 8 hours. ... Ben can wash 500 dishes in 2 hours, so, by dividing, I find that he can do 250 ..

Which points make the equation below true?

y = 43x + 5
a. (1 , 7)
b. (6 , 13)
c. (21 , 33)
d. (99 , 137)

Answers

Answer:

b,c,d

Step-by-step explanation:

if its 43x, none of the point is true.

if its 4/3x:

a. Not true 4/3(1) + 5 = 6 1/3

b. True 4/3(6) + 5 = 13

c. True 4/3(21) + 5 = 33

d. True 4/3(99) + 5 = 137

plz help me its kinds hard :(

Answers

Answer:

Adjacent Supplementary

Step-by-step explanation:

Vertical angles are across from each other, so you can cross out any answers with vertical.

Complementary angles add up to 90, so you can cross out the answers with complementary.

Volumen de un prisma de base cuadrangular de 36 centimetros de altura y 21 centimetros de arista de la base

Answers

Responder:

756 cm³

Explicación paso a paso:

Dar lo siguiente

Base del prisma = 21cm

Altura del prisma = 36 cm

Volumen del prisma = Área de la base * Altura

Volumen del prisma = 21 * 36

Volumen del prisma = 756cm³

De ahí el volumen del prisma = 756cm³

**due today, please help!!**

Factor, input the parentheses

6x+12



3x+3y



10+25x



81x+48



24x+16y+8



3+24x+6y



81x-36y-18



54x+12

Answers

Answer:

i got you!

Step-by-step explanation:

6(x + 2)

3(x + y)

5(2x + 5)

3(27x + 16)

8(3x +2y + 1)

3( 1 + 8x +2y)

9( 9x -4y- 2)

6 (9x +2 )

Answer:

6(x+2), 3(x+y), 5(2+5x), 3(27x+16), 8(3x+2y+1), 3(1+8x+2y), 9(9x−4y−2), 6(9x+2).

On what day will both girls will be on the same page _____?

Answers

Answer:

like ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm .............. never

Step-by-step explanation:

2 If a transformation is applied to a figure and a new figure is created, which
transformation would NOT preserve congruence? (8.108, SS, RC3)
F. (x, y) + (x + 5, y - 4)
G (x,y) → (-y, x)
H (x,y) → (3x, 3y)
J (x,y) → (x, -y)
A. F
B. G
C. H
D. j

Answers

I think it would be F

Are the figures congruent? Explain.

Answers

answer:

yes, because when you count the units you will see they are same

step-by-step explanation:

being congruent doesn't mean it is similar, however being similar does mean that they are congruentas you can see when you count the number of units, they are similartherefore, they are congruent

Write an exponential function whose graph passes through the given points (0, - 2) and (- 1, - 4)

Answers

Answer:

y = -2*0.5ˣ

Step-by-step explanation:

general formula for exponential function: y = abˣ

for point (0 , -2):    -2 = a*b⁰ = a * 1 = a

a = -2

for point (-1 , -4):   -4 = (-2) * b⁻¹       b⁻¹ = (-4) / (-2) = 2    

b = 1/2

exponential function:     y = -2*0.5ˣ

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