Factor 16a + 72 to identify the equivalent expression

Answers

Answer 1

Hey there, thanks for posting your first question!

If you're asked to factor a polynomial, you need to look for the

greatest common factor between the terms that are involved.

The greatest common factor of 16a and 72 is 8 because 8

is the largest number that can divide into both 16 and 72.

The "a" doesn't qualify because it doesn't appear in every term.

So the 8 factors out.

When that happens, we are left with each term divided by that 8

inside a set of parenthses, I'll show you what I mean.

So we have 8(2a + 9).

I divided the 16a by the 8 and 72 by the 8 and if you

distribute it back you will end up with the original polynomial.

So our answer 8(2a + 9).


Related Questions

2. If 1/2 of a gallon of paint covers 1/8 of a wall, how much paint is needed to cover the entire wall?
A) 8 2/3 gallons
B) 8 1/3 gallons
C) 3 gallons
D) 2 gallons

Please help !

Answers

Closest answer would be

C.) 3 gallons

Answer: 4 gallons.

Step-by-step explanation:

With this equation, we can use the ratio 1/2 : 1/8. For every 1/2 gallon of paint, 1/8 of a wall is painted.

If 1/2 gallons covers 1/8 of a wall, then we need 8 of the 1/2 gallons to cover the whole wall. We canrepresent this by multiplying 8 and 1/2.

8 x 1/2 = 4.

Because of this, 4 gallons of paint are needed to cover he entire wall.

(Quick note: I don't know why, but the answer choices seem kind of weird. But the answer is 4 :])

Identify the graph containing the point (1,−5) .

Answers

Answer:

we need a picture

Step-by-step explanation:

Alfie has a £10 note
He buys 3 pens costing £1.45 each and
some pencils costing 90p each.
If Alfie gets £2.05 change, how many
pencils does he buy?
What is the answer?

Answers

Answer:

4 pencils

Step-by-step explanation:

3*1.45 = 4.35 ---> spent for the pens

( 10 -[ 4.35 + 2.05] ) = money spent on pencils

0.9x= 3.6

x=3.6/0.9 = 4

What is the surface area of this shape?
1 cm
5 cm
4 cm
2 cm
6 cm
3 cm

Answers

I don’t know I think it’s 6cm

What percent decrease when the balance in a bank account goes from $300 to $60?

The percent decrease is 20%
The percent decrease is 25%
The percent decrease is 80%
The percent decrease is 87%

Answers

80% of $300 is $240; 300-240 is $60
20 percent hope this help ❤️❤️

if -2x + 3 = 7 and 3x + 1 = 5 + y the volume of y is​

Answers

Answer:

2

Step-by-step explanation:

i did it

If the wages of 13 workers for 4 days are $9828, find the wages of 1 1 workers for 5 days.

Answers

Answer:

10395

Step-by-step explanation:

[tex]9828 \div 4 \div 13 = 189[/tex]

[tex]189 \times 11 \times 5 = 10395[/tex]

Answer:

945

Step-by-step explanation:

9828 divided by 13 = 756

756 divided by 4= 189

189 x 5= 945

945 x 11= 10,395

Your welcome

can someone help me find the slopes for all three problems this was due two days ago
:(

Two of the three representations have lines with the same slope. What is that slope?

Answers

Answer:

Step-by-step explanation:

What is the perimeter of the composite figure?
85 cm
107.5 cm
119.5 cm
97 cm​

Answers

Answer:

102.90

Step-by-step explanation:

i just did it

Answer:

107.5 cm is the correct answer

Step-by-step explanation:

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

Answers

Answer: A is the answer (7,9)

The number of leaves that fall off a tree n days after day 1 is given by the function f (n) = 3(2)".

What does the value 3 mean in this function?

A. On the first day, 3 leaves fall.

OB. On the second day, 3 leaves fall.

C. The number of leaves that fall on a given day is 3 times the number of leaves that fell on the first day.

D. The number of leaves that fall on a given day is 3 times the number of leaves that fell on the previous day.

What does the value 2 mean in this function?

A. On the first day, 2 leaves fall.

B. On the second day, 2 leaves fall

C. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the first day.

D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.

Answers

Answer:

A. On the first day, 3 leaves fall.

B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.

Step-by-step explanation:

Given

[tex]f(n) = 3(2)^n[/tex]

Solving (a) The meaning of 3.

3 represents the initial number of leaves (i.e. the first day) and this proved as follows.

On the first day, n = 0.

Substitute 0 for n in [tex]f(n) = 3(2)^n[/tex]

[tex]f(0) = 3(2)^0[/tex]

[tex]f(0) = 3*1[/tex]

[tex]f(0) = 3[/tex]

Solving (b) The meaning of 2.

2 represents the rate which leaves fall down.

In (a)

[tex]f(0) = 3[/tex]

Take n = 1

Substitute 1 for n in [tex]f(n) = 3(2)^n[/tex]

[tex]f(1) = 3(2)^1[/tex]

[tex]f(1) = 3*2[/tex]

[tex]f(1) = 6[/tex]

When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday

The height of a triangle is 8 m less than the base. The area is 10 m2. Find the height and base.​

Answers

Answer:

he height of a triangle is 8m less than the base. The area is 10cm^2. Find the height and the base.

I have tried the equation 10=b(b-8)(1/2).

b(b-8) = 20

b^2 - 8b - 20 = 0

Factor:

b^2-10b + 2b-20 = 0

How many solutions does the equation have? -10(x - 1) = 10 - 10x *

O Zero Solutions
O 1 Solution
O Infinite Solutions​

Answers

Answer:

infinite

Step-by-step explanation:

it results in 10-10x=10-10x if you simplify

can also be simplified more into x=x

but we already know x has to equal x.

if 10 shirts cost $80, what is the unit rate (the cost of 1 shirt)?

Answers

Answer:

Each shirt is $8

Step-by-step explanation:

80÷10 = 8

Answer:

$8

Step-by-step explanation:

Form your equation, there are 10 shirts at x price, and they equal $80:

10x = $80

solve for x by dividing both sides by 10

10x/10 = $80/10

x = $8

Which staqtement is correct regarding the measurements of the parallelogram? 4 (21) 1 2 3 4 6 & 7 9 10 11 12 13 14 15 16 17 18 The base is 6 and the height is 3, so the area is 6(3) - 18 square units. O The base is 8 and the height is 3, so the area is 8(3) - 24 square units. The base is 8 and the height is 4, so the area is 8(4) -32 square units, O The base is 8 and the height is 6, so the area is 8(6) -48 square units. Noxi Submit Save and Exit Mark this and return M​

Answers

Answer:

The answer is C because I dont know




If we had a Pyramid with a hexagonal base, how many of these pyramids would it take to fill up a hexagonal Prism with a congruent base, and equal height?

Answers

Answer:

3 of the pyramids

Step-by-step explanation:

Given:

Hexagonal Prism

Hexagonal based pyramid

Required

How many of the pyramid will fill up the prism

To do this, we start by calculating the volumes of both shapes.

Let V1 be the volume of the hexagonal prism

[tex]V_1 = \frac{3\sqrt{3}}{2}a^2h[/tex]

Where: a = base and h = height

Let V2 be the volume of the hexagonal based pyramid

[tex]V_2 = \frac{\sqrt{3}}{2}a^2h[/tex]

Where: a = base and h = height

The number of the pyramid that can occupy the prism is calculated by dividing V1 by V2

[tex]Number = \frac{V_1}{V_2}[/tex]

[tex]Number = \frac{3\sqrt{3}}{2}a^2h /\frac{\sqrt{3}}{2}a^2h[/tex]

Convert division to multiplication

[tex]Number = \frac{3\sqrt{3}}{2}a^2h * \frac{2}{\sqrt{3}a^2h}[/tex]

[tex]Number = \frac{3\sqrt{3}}{2} * \frac{2}{\sqrt{3}}[/tex]

[tex]Number = \frac{3\sqrt{3}}{1} * \frac{1}{\sqrt{3}}[/tex]

[tex]Number = \frac{3*1}{1} * \frac{1}{1}[/tex]

[tex]Number = 3[/tex]

help me with this answer please <3

Answers

Answer:

(x, y) = (-8, 19)

Step-by-step explanation:

9x + 3y = -15

-4x - 3y = -25

(9x + 3y) + ((-4x) - 3y) = -15 + (-25)

5x = -40

x = -8.

So,

9x + 3y = -15

9 * (-8) + 3y = -15

-72 + 3y = -15

3y = 57

y = 19

Does anyone know??????

Answers

Answer:

67 degrees

Step-by-step explanation:

Angle 2 and angle 7 are vertical angles since l is the transversal.

so that means <2=<7

4x+39=12x-17

Simplify: isolate the variable:

56=8x

divide by 8:

7=x

now plug it in to m<2

4(7)+39=m<2

28+39

67=m<2

i hope this helps!

can some one help me with this??

Answers

The answer is A. x< -2

simplify fully 4x-8x^2/12x-6

Answers

Answer:

- [tex]\frac{2}{3}[/tex] x

Step-by-step explanation:

Given

[tex]\frac{4x-8x^2}{12x-6}[/tex] ← factorise numerator and denominator

= [tex]\frac{4x(1-2x)}{6(2x-1)}[/tex] ← factor out - 1 from (1 - 2x) on numerator

= [tex]\frac{-4x(2x-1)}{6(2x-1)}[/tex] ← cancel the common factor (2x - 1)

= [tex]\frac{-4x}{6}[/tex] ← cancel 4 and 6 by 2

= - [tex]\frac{2}{3}[/tex] x

Simplifying the expression will give us: [tex]\frac{4x-8x^2}{12x-6} = \frac{-2x}{3}[/tex]

Given the expression, [tex]\frac{4x-8x^2}{12x-6}[/tex], we are required to simplify the expression as follows:

Step 1: Factorize the denominator and the numerator.

[tex]\frac{4x-8x^2}{12x-6}\\\\=\frac{(1 - 2x)4x}{(2x - 1)6}[/tex]

Step 2: Rewrite the fraction by factoring out -1 from the numerator.

[tex]=\frac{(2x - 1)-4x}{(2x - 1)6}[/tex]

Step 3: Divide the numerator and denominator by (2x - 1) respectively.

[tex]=\frac{-4x}{6}[/tex]

Step 4: Divide the numerator and denominator by 2 respectively.

[tex]=\frac{-2x}{3}[/tex]

Therefore, simplifying the expression will give us: [tex]\frac{4x-8x^2}{12x-6} = \frac{-2x}{3}[/tex]

Learn more here:

https://brainly.com/question/21004763

Mr. Seoul left $48,000 to his family when he died. If he left 66 2/3% to his wife, how much did she receive?

Answers

The answer is $32000.

Y'all don't make fun of me or anything my brains not working but this is a real question a triangle is 3 sides and a square has 4 right or is the other way around?

Answers

Answer:

Lol, you're correct no worries!

Step-by-step explanation:

Yes a triangle has 3 sides and a square has 4 sides :)

5. Find the value of x.

Answers

Answer:

x=15

Step-by-step explanation:

please help im struggling im not very good at math because im an overthinker

Answers

Answer:

so.....how can i help you?

Step-by-step explanation:

Increase £120 by 35%

Answers

Answer:

£162

Step-by-step explanation:

Let's first find 35% of £120.

35% here is our multiplier, so we can turn it into a decimal (0.35) in order to use it in our sum.

£120 × 35% = £42

Now add £42 to £120.

£120 + £42 = £162

Super simple!

£162

explanation:
50% of 120= 60
5% = 6
30% = 36
35%= 36+6= 42
120+42=162

write x^2+8x+3 in the form of (x+a)^2-b

Answers

Answer:

(x+4)²-3

Step-by-step explanation:

x x=x²

4 4 =8

then +3

but a plus and a minus makes a minus so it would be -3

What is the y-intercept of the equation 2x + 3y = 12?

- 2/3
6
12
4

Answers

Answer:

A ) -2/3

Step-by-step explanation:

Rewrite the equation in slope-intercept form.

y = mx + b

2x + 3y = 12

2x - 2x + 3y = 12 - 2x

3y = 12 - 2x

3y/3 = 12/3 - 2x/3

[tex]y = -\frac{2}{3} x + 4[/tex]

Answer:

The answer above is correct!

Step-by-step explanation:

Hope it helps :)

what is 90divided by 5

Answers

18 is the correct answer.

Daniel wants to order shirts on the internet. Shirts cost $20.00 and shipping on all orders is $10.99. Daniel has $50 to spend.

Answers

He can only afford to buy one.

Answer:

$31.00

Step-by-step explanation:

20+10=30=1 (tax)

A tissue box has a length of 11.7 inches,a width of 8.2,and a height of 5 inches. Which could be the approximate volume of the box

Answers

Answer:

Volume equals length x width x height

Step-by-step explanation:

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