Using the GCF and distributive property, which expressions is equivalent (equal) to 12y + 16

A 2(6y + 80)

B 4(3y + 4)

C 28y

D 16 + 12y

Answers

Answer 1

Answer:

4(3y+4)

Step-by-step explanation:

12y + 16

4*3*y +4*4

Factor out 4

4(3y+4)

Answer 2

Answer:

2(6y+80) = 12y+160

4(3y+4) = 12y+16

28y = 28y

16+12y = 12y+16 (did not use distributive property)

So,  B is correct.

Let me know if this helps!


Related Questions

plsss helppp! i will give brainliest!!

Answers

i’m pretty sure it’s the last one (x-7, y+5)

bc if you input (2,3) 2-7, 3+5 it gives you the output -5,8
It’s the last one hope this guy

Identify the slope and y-intercept of the graph of the equation. y = 5/3 x -2

Answers

Answer:

Slope: [tex]\frac{5}{3}[/tex]

Y-intercept: -2

Step-by-step explanation:

Conveniently, this equation is already in slope-intercept form.

The slope is always the constant of proportionality, which we multiply x by.

Therefore the slope is  [tex]\frac{5}{3}[/tex].

The y-intercept is always the constant that comes after the x term, which is -2.

So the y-intercept is -2.

Hope this helped!

Answer:

Slope: 5/3

Y-intercept: -2

Step-by-step explanation:

Since your equation is already in slope intercept form, it makes it easier for you to identify the slope and y-intercept.

In your equation ([tex]y = \frac{5}{3} x -2[/tex]) the coefficient of 5/3 is your slope and your constant of -2 is your y-intercept.

Hope that helps and maybe earns a brainliest!

Have a great day! :)

The admission fee at a carnival fair is $4.50 for children
and $8.00 for adults. One day, 2200 people attended the fair
and $5050 was collected. How many children and how many
adults attended?
Lets say:
c= number of children
a= number of adults

Answers

Answer:

Adult=1,385.71

Children=814.29

Approximately

Adult=1386

Children=814

Step-by-step explanation:

c= number of children

a= number of adults

Admission fee for children=$4.50

Admission fee for adults=$8.00

Total attendees=2200

Total amount realized=$5050

We need two equations to solve the two unknowns

c + a=2200 (1)

4.50c + 8.00a=5,050 (2)

From (1)

c + a=2200

c=2200 - a

Substitute c=2200 - a into (2)

4.50c + 8.00a=5,050

4.50(2200 - a) + 8.00a=5050

9900 - 4.50a +8.00a=5050

Collect like terms

9900-5050= -4.50a+8.00a

4,850=3.5a

Divide both sides by 3.5

1,385.71=a

Substitute a=1,385,71 into (1)

c + a=2200

c+1385.71=2200

c=2200-1385.71

=814.29

c=814.29

1386 for adults and 814 for children

PLEASE HELP!! A 5×5×5 wooden cube was painted and then sawed into 1×1×1 cubes. How many 1×1×1 cubes have exactly two faces painted?

Answers

Answer:

36

Step-by-step explanation:

There would be three on each edge. (Five, minus the two ends that have 3 sides painted.)

A cube has 12 edges.

12x3=36

answer: 36 faces 12x3 = 36

What is the value of i 20+1?
1
- т т .-

Answers

The answer to 20+1 is 21

1
Two radio stations are playing this week's #1 hit song. One radio station plays the song every 18 minutes. The other radio station plays the song every 24 minutes. Both stations play the song at 3pm. How many minutes will pass before they play the same song again.

Answers

Answer:

72  minutes until they play again

Step-by-step explanation:

18+18+18+18=72

24+24+24=72

Answer:  72 minutes

======================================================

Explanation:

The GCF of 18 and 24 is 6, since this is the largest factor shared between the two numbers

18 = 6*324 = 6*4

To find the LCM, we'll involve the GCF. The LCM of two numbers x and y is found by multiplying them, and then dividing over the GCF of them.

LCM of x and y = (x*y)/(GCF of x and y)

LCM of 18 and 24 = (18*24)/6

LCM of 18 and 24 = 432/6

LCM of 18 and 24 = 72

-----------

To help confirm this, we can list out the multiples of each

multiples of 18 are: 18, 36, 54, 72, 90, ...multiples of 24 are: 24, 48, 72, 96, ...

We see that 72 is the lowest common multiple. This is the final answer because each station will play the same song 72 minutes apart.

The stations play the same song at 3 PM. Then 72 minutes later (4:12 PM), the same song is played again on both stations at the same time. Then at 5:24 PM, another 72 minute gap, is when the same song is played again at the same time. And so on.

----------

Side note: 72 minutes = 60 min + 12 min = 1 hr, 12 min

If a= 3 and b= 5, find b/a=
2/5
3/5
05/3

Answers

Answer:

05/3

Step-by-step explanation:

5/3 = 1.66

Answer:

5/3

Step-by-step explanation:

a= 3 and b= 5

b/a

5/3


Veronica wants to buy a house that costs $249,900. She is going to make a 20% down payment. How
much is her down payment in dollars?

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

$49,980

▹ Step-by-Step Explanation

[tex]\frac{20}{100} * $249,900 \\\\= $49,980[/tex]

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer

49,900

Step-by-step-explanation

go two across and place the decimal there, so 20% will be turned into 0.20 and multiply 0.20 by the 249,900. When you are done you will get the amount.

Hope this helped!

A dozen more than a number minus twice the number

Answers

X•2+12 I’m not sure if that’s what you’re looking for though
(x + 12) - 2x. i think that’s it lol

HELP ASAP ! NO GUESSING, I BEG YOU. // 5(4x + 2) ÷ 7y

From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present."

Answers

Answer:

Step-by-step explanation:

1. Solve

 5(4x + 2) ÷ 7y

20x+10 ÷  7y

Sum: 20x+10 ÷ 7y

Products: 20x and 10

Factors: 5, 4x, and 2

Quotient: not present

Coefficient: not present

Terms: x and y


Jerome currently has an account balance of $1,859.55. His initial deposit on the account was $825 and it earned 5.7% simple interest. How long has Jerome held the
account?

Answers

Answer:

22 years

Step-by-step explanation:

Well we know the formula for simple interest is

I = PRT

I = interest earned

P = initial balance

R = rate

T = time

We want to solve for time here....so rearrange for T

T= I/(PR )

We have

P = 825

R = .057

And I = current balance - initial balance = 1859.55 - 825 = 1034.55

So plugging all those in we have

T = 1034.55/(825×.057 )

T = 1034.55/47.025

T = 22

It was held for 22 years.

The answer for this would be 22 Years.


Plot the function
y = (x + 1)(x - 3) by following these steps:
4
Step 1: Plot the x-intercepts of the function.

Answers

Answer:

Zoom it to see well

Step-by-step explanation:

The equation of the parabola is y = (x - 1)² - 4. Then the vertex of the parabola is at (1, -4) and the parabola passes through (0, -1) and (0, 3).

What is the parabola?

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

The equation is given below.

y = (x + 1)(x - 3)

We know that the equation is a parabolic equation.

And the value of y at -1 and 3 is zero.

The equation can be written as

y = x² - 2x -3

y = (x - 1)² - 4

And the vertex of the parabola is at (1, -4).

The graph is shown below.

More about the parabola link is given below.

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Mr. Brust tried to simplify the following but made a really common mistake in the problem. Identify the mistake, then show the correct solution. 8 + 2(3p + 1) = 10(3 p +1) = 30p +10

Answers

Answer:

The correct answer is 10+6p

Step-by-step explanation:

The mistake is that for the first step instead of distributing 2 to 3p and 1 they added 8+2 first. your actually supposed to distribute and get, 8+6p+2, then combine like terms and get 10+6p

Answer:

Mistake: He added 8 to the 2 that you needed to multiply to the 3p and 1 inside the parentheses.

Correct solution: 10 + 6p

Step-by-step explanation:

8 + 2(3p + 1) =

8 + 6p + 2 =

10 + 6p

Hope that helps and maybe earns a brainliest!

Have a fantastic day! :)

Name five fractions between 6/7 and 9/10

Answers

Answer:

43/50, 22/25, 111/125, 1111/1250, and 179/200.

Step-by-step explanation:

6/7 = 0.8571428571

9/10 = 0.9

The fractions can be anywhere within that range.

The first fraction I would name would be a fraction that equals 0.86. 0.86 = 86/100 = 43 / 50.

The second fraction can be a fraction that equals 0.88. 0.88 = 88 / 100 = 44 / 50 = 22 / 25.

The third fraction will equal 0.888. 0.888 = 888 / 1000 = 444 / 500 = 222 / 250 = 111 / 125.

The fourth fraction will equal 0.8888. 0.8888 = 8888 / 10000 = 4444 / 5000 = 2222 / 2500 = 1111 / 1250.

The fifth fraction can equal 0.895. 0.895 = 895 / 1000 = 179 / 200.

Hope this helps!

Answer:

43/50, 22/25, 111/125, 1111/1250, and 179/200.

Step-by-step explanation:

6/7 = 0.8571428571

9/10 = 0.9

The fractions can be anywhere within that range.

The first fraction I would name would be a fraction that equals 0.86. 0.86 = 86/100 = 43 / 50.

The second fraction can be a fraction that equals 0.88. 0.88 = 88 / 100 = 44 / 50 = 22 / 25.

The third fraction will equal 0.888. 0.888 = 888 / 1000 = 444 / 500 = 222 / 250 = 111 / 125.

The fourth fraction will equal 0.8888. 0.8888 = 8888 / 10000 = 4444 / 5000 = 2222 / 2500 = 1111 / 1250.

The fifth fraction can equal 0.895. 0.895 = 895 / 1000 = 179 / 200.

Plz answer fast! Tell the correct answer(both parts), or else I will report you.

Answers

Answer:

a1=7

an = an-1 * -2

Step-by-step explanation:

7,-14,28,-56

The first term is a1 so a1 = 7

We are multiply by -2 each time

7*-2 =-14

-14*-2 =28

28*-2 = -56

an = a(n-1) * -2

Find the measure of the remote exterior angle. m∠x=(197−5n)°m∠y=(6n+22)°m∠z=(n+7)°
A. 14
B. 91
C. 21
D. 127

Answers

Answer:

  D.  127°

Step-by-step explanation:

The exterior angle (x) is the sum of the remote interior angles (y, z).

Setup

  x = y +z

  (197 -5n) = (6n +22) +(n +7) . . . . . substituting the given expressions

Solution

Eliminating parentheses and collecting terms, we have ...

  197 -5n = 7n +29

  168 = 12n . . . . . . . . . add 5n-29

  14 = n . . . . . . . . . . divide by 12

Then the measure of remote exterior angle x is ...

  m∠x = (197 -5(14))° = (197 -70)°

  m∠x = 127°

How many numbers between 1 and 1000 do not contain the digits 8, and 9 ?

Answers

Answer:

998

Step-by-step explanation:

I haven't included the 1 or the 1000

Answer:

There are 200 numbers between 1 and 1000  that do not contain the digits 8, and 9.

Step-by-step explanation:

1-100

=(8,9,18,19,28,29,38,39,48,49,58,59,68,69,78,79,88,89,98,99)=20

101-200

=(108,109,118,119,128,129,138,139,148,149,158,159,168,169,178,179,188,189,198,199)=

201-300=20

.......

100*10=1000

20*10=200

Simplify: 15 7/12 x−9 1/3 x

Answers

I think it Should be 6.25x or 25/4x
6.25x would be the correct answer

if
[tex] log_{x} \: a \: + log_{x} \: \frac{1}{a} = t[/tex]
what is the possible value of t?​

Answers

Answer:

t= 0

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log(xy)

[tex]log_{b}[/tex] 1 = 0

Given

[tex]log_{x}[/tex] a + [tex]log_{x}[/tex] [tex]\frac{1}{a}[/tex] = t ,then

[tex]log_{x}[/tex] (a × [tex]\frac{1}{a}[/tex] ) = t

[tex]log_{x}[/tex] 1 = t , thus

t = 0

I’m pretty sure the answer is t=0

PLEASE HELP!!!! WILL GIVE BRAINLIEST!!

Find the output, h, when the input, x, is -18.
h = 17 + x/6 ​

Answers

Answer:

14

Step-by-step explanation:

The expression is h = 17 + x/6

Replace x by -18

● h = 17 + x/6

● h = 17 + (-18/6)

● h = 17 +(-3)

● h = 17 -3

● h = 14

So the output when x = -18 is 14

h=14

h=17+18/6

h=17+-3

h=17-3

h=14

PLEASE HELP, ILL MARK BRAINLIEST

Answers

Answer:

Lesser x = -10

greater x = -2

Step-by-step explanation:

Find the zeroes:-

[tex]f(x)=(x+6)^{2} -16=0[/tex]

[tex](x+6)^{2} -16=0[/tex]

[tex](x+6)^{2} =16[/tex]

[tex]\sqrt{(x+6)^{2} }=\sqrt{4^{2} }[/tex]

[tex]x+6=[/tex] ± [tex]4[/tex]

[tex]x+6=4[/tex]

[tex]x=4-6[/tex]

[tex]x=-2[/tex]

or, [tex]x+6=-4[/tex]

[tex]x=-4-6[/tex]

[tex]x=-10[/tex]

So, [tex]x=-10, \: or\: x=-2[/tex]

OAmalOHopeO

Answer:

LESSER X=-10

GREATER X=-2

Hope it helps:)))

have a marvellous day every single day!

Step-by-step explanation:

Please help ASAP!!!!!!!

Answers

Answer:

  $86.81

Step-by-step explanation:

Using the given formula, we want to compute A for ...

  P = 4750

  r = 0.2279

  n = 365 . . . . . assuming "exact" interest

  t = 1 or 30

For 1 day late:

  A = 4750(1 +0.2279/365)^(365·(1/365)) = 4752.97

For 30 days late:

  A = 4750(1 +0.2279/365)^(365·(30/365)) = 4839.78

The difference in these payment amounts is ...

  $4839.78 -4752.97 = $86.81

You would save $86.81 in interest charges by paying only 1 day late.

_____

Comment on the question

It would be a poor choice of credit card to use one that compounds interest daily. Most do so on a monthly basis.

Answer 86.61 !


Explanation : copied other person if you don’t mind

There are four points on a line: A, B, C and D, so that AB=1, BC=2, CD=4. Find all the possibilities of the length of segment AD.

Answers

Answer:

  {1, 3, 5, 7}

Step-by-step explanation:

There are four possibilities:

  AD = AB -BC -CD = 1 -2 -4 = -5

  AD = AB +BC -CD = 1 +2 -4 = -1

  AD = AB -BC +CD = 1 -2 +4 = 3

  AD = AB +BC +CD = 1 +2 +4 = 7

Possible lengths of AD are 1, 3, 5, 7.

__

The negative sign means the segment is added toward the left instead of toward the right. A final negative value means D is left of A, instead of to the right.

Open-Ended Write three equations with variables on both sides of the equal sign with one having no solution, one having exactly one solution, and one being an identity. please help guys

Answers

Answer:

Summary. If the equation ends with a false statement (ex: 0=3) then you know that there's no solution. If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers

Step-by-step explanation:

Answer: answer in the attachment

Step-by-step explanation:

Hope this might have helped you

Find the m∠RLU. A. 20 B. 42 C. 84 D. 10

Answers

Answer:

b is the correct answer. p is 10

The value of m∠RLU = 10.

How to estimate the value of m∠RLU?

Given: (5p - 8) and (2p + 22)

Simplifying both of the equation, then we get

5p - 8 = 2p + 22

Add 8 to both sides of the equation, then we get

5p - 8 + 8 = 2p + 22 + 8

simplify

5p = 2p + 30

substract 2p from both sides of the equation

5p - 2p = 2p + 30 - 2p

3p = 30

p = 30/3

p = 10.

m∠RLU = 10

Therefore, the correct answer is option D. 10.

To learn more about angles and triangle

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wat is (12+6-5*3)*(2*2+1-7+2)=

Answers

Answer:

[tex]\huge\boxed{0}[/tex]

Step-by-step explanation:

First we have to do the operation of multiplication

=> (12+6-15)*(4+1-7+2)

Now, Solving the terms inside the brackets

=> (18-15)*(5-7+2)

=> (3)*(-2+2)

=> (3)*(0)

=> 0

Answer:

[tex]\Huge \boxed{{0}}[/tex]

Step-by-step explanation:

[tex](12+6-5*3)*(2*2+1-7+2)[/tex]

Solve brackets.

[tex](12+6-15)*(4+1-7+2)[/tex]

[tex](3)*(0)[/tex]

Multiply both numbers.

[tex]3 \times 0 = 0[/tex]

If g (x) is the inverse of f (x) and f (x) = 4 x + 12, what is g (x)
g (x) = 12 x + 4
g (x) = one-fourth x minus 12
g (x) = x minus 3
g (x) = one-fourth x minus

Answers

Answer:

[tex]g(x) = \frac{1}{4} x - 3[/tex]

Step-by-step explanation:

Since g(x) is the inverse of f (x) to find g(x) must first find f-¹(x)

To find f-¹(x) equate f(x) to y

That's

f(x) = y

y = 4x + 12

Next interchange the terms x becomes y and y becomes x

That's

x = 4y + 12

Next make y the subject

4y = x - 12

Divide both sides by 4

[tex]y = \frac{1}{4} x - 3[/tex]

Therefore

[tex]g(x) = \frac{1}{4} x - 3[/tex]

Hope this helps you

g(x)=1/4x-3 is what i got

Which scatterplot shows the strongest negative linear association? On a graph, points are grouped closely together and increase. On a graph, points are grouped closely together to form a line and increase. On a graph, points are grouped closely together and decrease. On a graph, points are grouped closely together to form a line and decrease.

Answers

Answer: Choice D

On a graph, points are grouped closely together to form a line and decrease.

====================================

Explanation:

Negative association is where the points decrease as you move from left to right. In other words, you move downhill as you move from left to right. There could be random upward bumps here and there, but overall the general trend is down.

Linear association is when the points are close to the same straight line, known as the regression line.

When points have strong negative linear association, we combine the two ideas mentioned above. The points are close to the same straight line and this line has a negative slope. The correlation coefficient r is close to r = -1.

Choice C is a close answer, but choice D is the better answer due to the "to form a line". If all points are on the same straight line, then r = -1 exactly and we have the strongest possible negative correlation.

The strongest negative linear association is depicted by the graph where points are grouped closely together to form a line and decrease.

Linear associations are deduced from a graph when the points are grouped closely together to form a line. Then we have a strong linear association.

Negative association are deduced from a graph when the slope of the line decreases

Therefore, a graph with closely grouped points which forms a line and decreases infers a strong negative linear association.

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simplify
3sin 0+ 2sin 0- 4sin0+ 5sin0
step by step

Answers

Answer:

0

Step-by-step explanation:

3x0+2x0-4x0+5x0

0

Find the m∠DCA A. 10 B. 29 C. 116 D. 40

Answers

DCA is 116 because x=29, when you plug 29 into x you get 116

Hence, the m∠DCA is 59.2

What is an angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs, and sometimes the arms of the angle.

How to solve?

m∠DCB = (4x) + (6x-58) = 90

10x = 148

x = 14.8

m∠DCA = 4x

             = 4(14.8)

             = 59.2

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Read the passage below and then answer the question.The Tenth Amendment of the U.S. Constitution assigns the state governments their powers. TheConstitution states, "The powers not delegated to the United States by the Constitution, nor prohibited byit to the States, are reserved to the States respectively, or to the people."What conclusion can you draw, based on the passage? two trucks leave at different times (from the same place) headed for the same city. Both trucks arrive at the same time. Based on the this information, which of the following statements is true? A. The trucks traveled the same distance in the same amount of time B. The trucks were traveling at the same average speed C. The trucks traveled different distances D. The truck that left later traveled faster Martin Shkreli, former CEO of pharmaceutical company Retrophin,, has many traits of a leader. He is very intelligent, brash, extroverted, and driven to succeed. But he lacks the key trait to keep the confidence of others, which eventually led to a fraud conviction. He lacks what is golden shade for your hair and hair check? English 31y+12y= combine like terms my house has only one post Who am I What is the measure of KPN?A. 35B. 50C. 60D.65E. 70 how can the federal reserve fight ressision Interviews are designed to determine if the employer feels a candidate is a good fit for the job. What benefit does an interview offer the job candidate The hydrogen atom has one _____ and one _____. What is the measure of circumscribed LX?O 45O 50O 90O 950 A transformation T : (x, y) (x + 3, y + 1). The preimage of the point (4, 3) is (-1, -2) (7, 4) (1, 2) In the given figure if p||q what is the value of b? The sum of the first 5 terms of an AP is 30 and the sum of the four term from T6 to T9 (inclusive) is 69. Find the AP An expression is ??? Please answer quickly! Helpp pls *asap*!!!!!!!!!!!!! A jar contains only red, white and blue marbles. The number of red marbles is 4/5 the number of white ones, and the number of white ones is 3/4 the number of blue ones. If there are 470 marbles in all, how any of them are blue?120200150184 Question 4 of 20Which energy transfer occurs when a cube of ice is placed in a glass ofwater?A. The chemical energy of the ice is transferred to the liquid water.B. The nuclear energy in the water molecules is released from the iceinto the liquid water.C. Gravitational potential energy is transferred from the liquid waterto the ice.O D. Thermal energy is transferred from the liquid water to the ice.SUBMIT Determine whether or not F is a conservative vector field. If it is, find a function f such that F = f. (If the vector field is not conservative, enter DNE.) F(x, y) = (3x2 2y2)i + (4xy + 4)j