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

!PLEASE EXPLAIN IT EASY SO I UNDERSTAND IT!

Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:


Year Lawn Care Fee
2000 $750
2010 $1350


A. What is the rate of change and initial value for Elliot’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.

Answers

$1350-$750=$600
2010-2000=10 years
600/10=$60 increase per year
a) since elliot started with $750 in 2000 and he started working in 2000 that would be his initial fee and every year he increased his fee by $60.
b) y=60x+750

Answer:

Rate of Change: $60 Per year

Step-by-step explanation:

We can find how many years are from 2000 to 2010 not overcouting. That is 10. Now, we do 1350 minus 750 because that's the change of the fee. That will give you 600. Now, 600 divided by 10, giving you how much change each year. That's 60.

So,

2000:750

2001:810

2002:870

2003:930

2004:990

2005:1050

2006:1110

2007:1170

2008:1230

2009:1290

2010: 1350

You can graph it out with that, now.

Why are the divisibility rules for 2, 3, and 5 very useful for determining prime and composite numbers

1. They are the smallest odd numbers
2. They add up to 10
3. They are prime numbers with nice divisibility rules
4. They multiply to 30
5. They can be multiplied together to make every number

Answers

Answer:

option 3.

Step-by-step explanation:

alright, ima explain each option.

1. "smallest odd numbers" 2 is an even number. that's out of the playing field.

2. "add up to 10" sure, they do add up to 10, but finding prime and composite numbers are all about division and multiplication.

3. this is true. 2, 3, and 5 are all prime numbers, and they have the nice divisibility rules. [ for 2, it has to be even, for 5, it has to end in 0 or 5, and 3 has to have the sum of its digits being divisible by 3. ]

4. they do multiply to 30, but this does not help break the composite numbers down.

5. we cannot make every number with just these. we can not multiply any other whole number to get 7 for per example, because it's a prime number.

sub to gauthmath sub reddit if ya can !

They are prime numbers with nice divisibility rules

The expression (F - 32) • 5/9 can be used to convert a temperature from Fahrenheit to Celsius.

1. Find the temperature in Celsius if it is 50°F.

2. Find the temperature in Celsius if it is -10°F.

Answers

Answer:

1.) 10

2.) 14

Step-by-step explanation:

1. 50-32= 18•5/9= 10*C

2. -10-32= -42•5/9= -23.33*C

Find the area of the figure at the right in square feet. The figure can be separated into a rectangle and a trapezoid. Find the area of each. (image attached)

Answers

Answer:

Shape 1: Trapezoid

A= h(a+b/2)

A=32

Shape 2: rectangle

A=lw

A=96

32+96=128

Let me know if this helps!

Here is the answers have fun

I really need help with this

Answers

Answer:

8/5

Step-by-step explanation:

There are 8 jokers combined, and 5 decks, so the mean is 8/5.

8/5 explanation gut above me

I know how to find the distance of two coordinates but not three could someone help me on this??

Answers

Find distance between R and S and then between S and T and add them together
Answer:

12 units

Step-by-step explanation:

Step 1. Find the distance between R(-1, 4) and S(5, 4)

Answer: 6

Reason: from -1 to 5, it’s 6 units.

Step 2. Find the distance between S(5, 4) and T(5, -2)

Answer: 6

Reason: from -2 to 4, it’s 6 units

Step 3. Add the distance between R to S and S to T.

Answer: 12 units

Reason: R to S = 6 units. S to T = 6 units.

6 + 6 = 12 units

Make a list of three rates that describe things that you do. For example, you could describe how many classes you attend in a day. For each example, explain why it is a rate.​

Answers

I tried to make this as vague as possible since this is a question about your personal life.

1. sleep to hours in a day, 8:24

2. cans of soda to bottles of water, 1:2

3. meals to snacks, 3:2

Absolute Value – how far or the
[ Select ] Answer | Counter | Number | or distance
a number is from zero.

Answers

Answer:

The last answer or Distance a number is from zero

Step-by-step explanation:

It's this answer because absolute value is just how far a number is from zero for example | -1 | is equal to 1 because -1 is 1 away from zero. Hope this helps :)

Answer:

The last answer or Distance a number is from zero i think i dont know

Step-by-step explanation:

If f(x) = -3x - 2
find f(-2) + 9

Answers

Answer:

f(-2) + 9 is 19

Step-by-step explanation:

[tex]f(x) = - 3x - 2[/tex]

when x is -9:

[tex]f( - 2) = - 3( - 2) - 2 \\ f( - 2) = 10[/tex]

sum up with 9, f(-2)+9:

[tex]f( - 2) + 9 = 10 + 9 \\ = 19[/tex]

It shluld be 19 i think

A 1400-seat theater sells two types of tickets for a concert. Premium seats sell for $30 each and regular seats sell for $20 each. At one event $33,950 was collected in ticket sales with 10 seats left unsold. How many of each type of ticket was sold?

Answers

Answer:

x = 638

y = 1190 - 638 = 552

Step-by-step explanation:

Let x = premium seats

let y = regular seats

x + y = 1190         (ten were not sold

30x + 20y = 30180    (amount collected

now multiply the first equation by 20 and subtract

20x + 20y = 23800

30x + 20y = 30180

-10x = -6380

x = 638

y = 1190 - 638 = 552

check it by multipying x and y by their price to see if you come up with the correct amount

Hope this helps

premium seats sold : 638
Regular seats sold: 552

Question 1
Click the refresh button until you get a right triangle with A as the right angle. Fill in the fraction forms of sin B, cos B, tan B and then the
associated measure of B using sin^-1, cos^-1, and tan^-1, rounded to three decimal places each. Then fill in the fraction forms of sin C, cos C, tan C, and the associated measure of C using sin^-1, cos^-1, and tan ^-1 rounded to three decimal places.

Answers

x=width of pool

2x=length of pool

the dimensions of the rectangle forming the walkway and the pool are x+4 and 2x+4

the area of this rectangle minus the area of the pool is 196 square feet

(2x+4)(x+4)-(x)(2x)=196

2x^2+4x+8x+16-2x^2=196

combine similar terms

12x+16=196

12x=196-16

12x=180

x=180/12

x=15 feet is the width of the pool

check: 34*19-30*15=196

646-450=196

196=196

Answer:

Step-by-step explanation:

Gina wants to solve the following proportion.


a / 5/8 = 3/5 / 2/3


A. explain how to solve the problem.

B. solve the proportion. show your work.

Answers

Step-by-step explanation:

please don't understand the question. will be happy if you take a shot of it.

Thanks

a/5/8 = 3/5 / 2/3

We can take the reciprocal of the denominator, since the denominator itself is a fraction

The above equation can be rephrased as,
(a) / (5/8) = (3/5) / (2/3)

Taking reciprocal

8a / 5 = 3*3 / 5*2

8a / 5 = 9 / 5*2

a = 9 * 5 / 5*2*8

5’s get canceled, 2 and 8 gets multiplied in the denominator.

We will then be left with,

a = 9 / 16


I have also verified it and got the right answer.

Please Help Me! I will give brainly!!


The distance from your front door to the mailbox is 18 4/5 meters. The distance from your front door to your basketball hoop is 13 7/10 meters. How much farther from your front door is the mailbox than the basketball hoop?

Answers

Answer:

5 1/10 meters

Step-by-step explanation:

18 4/5 can be changed to 18 8/10 so

18 8/10 - 13 7/10 = 5 1/10 meters

5 1/10 meters ahhhhhhhhhhhh

HELPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

d

Step-by-step explanation:

its a rational number because it isn't 0 and the others are incorrect i think

Answer:

Pretty sure its D

Step-by-step explanation:

Process of elimination....All the other ones seem to be incorrect.

HURRY IM TIMED!! which inequality is represented by this graph?

Answers

Answer:

x<6 this is the answer because the circle is hallow (not including) and going left (less than)

Answer:

x<6

Step-by-step explanation:

Look at the way the blue arrow is pointing that means less than and the circle is open so it is not equal to the number 6.

What is the equation of the graph?

y = 4x
y = 1/4x
y = -1/4x
y = -4x

Answers

y=1/4x is the correct answer
y =1/4x hope this helps

Express each of the following fractions as percentages
12/25
solution for class 7

Answers

Like we did in the previous problem, divide and multiply by 100:
12 / 25 = 0.48
As a percentage, we multiply by 10p;
0.48 *100 = 48

[tex]\\ \sf\longmapsto \dfrac{12}{25}\times 100[/tex]

[tex]\\ \sf\longmapsto \dfrac{12\times 100}{25}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1200}{25}[/tex]

[tex]\\ \sf\longmapsto 48\℅[/tex]

Item 18
A flagpole casts a shadow that is 7 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 25 inches long. How tall is the flagpole to the nearest foot?

Answers

7/x= 6/25
175 =6x
29.1666
So nearest foot is 29 feet

Extra points for this question if you just use me for the points I will red flag you with no regrets/ Please help me.

Answers

Answer:

Step-by-step explanation:

The answer is the 2nd one

HELPPP PLEASE I DON'T UNDERSTAND!!

Answers

Answer:

B

Step-by-step explanation:

If all the coordinates are placed in a graph, the line would be straight. This would mean it is linear.

The answer is b,d,c, because the increase in x is same and the increase in y is also same but in a the increase in x is exponential meaning it gets multiplied so that is not linear.

Hope this helps!

A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.

What is the total distance the monkey has traveled when she completes her 25th swing? Round your final answer to the nearest meter.

Answers

Answer:

250,000 meters (m)

Step-by-step explanation:

First swing she passed through an arc of:

10m

Each swing, she passed through an arc of :

9/10

9/10×10=10

25×10=250km

250km converted to the nearest m=

250,000 Meters (m)

Note: *This is my opinion, you can try it and see if it's correct,I'm sorry if it's not. Good luck!*

250,000 meters (m)
Explanation guy above me

Please multiply 6c(4)

Answers

Answer:

24c

Step-by-step explanation:

6 * c * 4 = 6 * 4 * c = 24c

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

24c

Step-by-step explanation:

6c * 4 is 24c. You multiply normally and make it c :)

Choose a number line to model the following situation:

The temperature outside rose 15° and then dropped 15°. (4 points)

a
A vertical number line is shown with labels at 0 and 15. A red arrow (labeled dropped 15 degrees) begins at 15 and ends at 0. A purple arrow (labeled rose 15 degrees) begins at 0 and ends at 15.

b
A vertical number line is shown with labels at negative 15, 0, and 15. A red arrow (labeled dropped 15 degrees) begins at 0 and ends at negative 15. A purple arrow (labeled rose 15 degrees) begins at 0 and ends at 15.

c
A vertical number line is shown with labels at negative 15, 0, and 15. A red arrow (labeled dropped 15 degrees) begins at 15 and ends at 0. A purple arrow (labeled rose 15 degrees) begins at negative 15 and ends at 0.

d
A vertical number line is shown with labels at 0, negative 15, and negative 30. A red arrow (labeled dropped 15 degrees) begins at 0 and ends at negative 15. A purple arrow (labeled rose 15 degrees) begins at negative 15 and ends at negative 30.

Answers

Answer: A

Step-by-step explanation: It is showing that the temp Atari is raising by 15 ( +15) then dropping by 15 (-15)

Hope this Helps :))

Hxjs sis siss is ais sis sis sisw is

Can someone please help me with this question I need to find the unit rate.

Answers

First we have to take any point, I'll take (5,3).

X-axis represents number of pounds and y-axis represents total cost (in $).

So, 5 pounds = $3

=> 1 pound = $3/5

=> 1 pound = $0.6

=> 1 pound = 60 cents

Answer:

60c per pound.

Step-by-step explanation:

If 5lbs cost 3 dollars, 1lb = 3/5

3/5 = 0.6$

60c

The figure shows a line graph and two shaded triangles that are similar:



Which statement about the slope of the line is true?

A. It is fraction 1 over 2 throughout the line.
B. It is 2 throughout the line.
C.The slope from point O to point A is fraction 1 over 2 time the slope of the line from point A to point B.
D. The slope from point O to point A is two times the slope of the line from point A to point B.

Answers

Answer:

Answer is B

just do your work and proof the work and that will give u the right answer

Answer:

it is B

Step-by-step explanation:

it is just B man, trust

Please answer my question and explain it.

Answers

Answer:  Choice D

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

Work Shown:

4  1/2 = 4 + 1/2 = 4 + 0.5 = 4.5

In short, 4  1/2 cups is the same as 4.5 cups

---------

1 cup = 8 fluid ounces

4.5*(1 cup) = 4.5*(8 fluid ounces) .......  multiply both sides by 4.5

4.5 cups = 36 fluid ounces

Answer:

D

Step-by-step explanation:

Are the ratios 5:4 and 8:2 equivalent? yes or no

Answers

Answer:

no

Step-by-step explanation:

no its no

Answer:

I believe no

Step-by-step explanation:

I believe it is no but I could be wrong...if I am wrong I am very sorry and hope you can forgive me

what is the gradient?

Answers

Answer:

[tex]{ \tt{gradient = \frac{ - 3 - 1}{0 - ( - 1)} }} \\ = \frac{ - 4}{1} \\ = - 4[/tex]

Answer:

The gradient (slope) is -4.

Step-by-step explanation:

Note that two points on the graph through which the blue line passes exactly are (-2, 5) and (0, -3).  As we move from the first point to the second, x increases by 2 (the 'run') and y (the 'rise') decreases by 8.  Thus, the gradient, or slope, of this line is m = rise/run = -8/2, or m = -4.

Find the sum of the counting numbers from 1 to 25 inclusive. In other words, if S = 1 + 2 + 3 + ... + 24 + 25, find the value of S.

Answers

Answer:

325

Step-by-step explanation:

You must have heard about Arithmetic Progressions (AP)

Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.

Our very own counting numbers form AP

For example :-

2 = 1 + 1

3 = 2 + 1

4 = 3 + 1

The number in bold (1) is that constant number which is added to a number to form its successive number.

To find the sum of series forming AP, we use the formula :-

[tex]sum = \frac{n}{2} \{ a + a _{n} \} [/tex]

here,

n is the number of termsa is the first number of the series an is the last number of the series

So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).

and n is 25

[tex]S = \frac{25}{2}\{ 1 +25\} [/tex]

[tex] = \frac{25 \times 26}{2} [/tex]

[tex] = 25 \times 13[/tex]

[tex] = 325[/tex]

So, the value of S comes out to be 325.

Answer:

s= 325

Step by step explanation:

Add all numbers 1 to 25 to get 325.

11 and 14 please!! I’ll give Brainlist please

Answers

Answer:

11. p-(780/6) or p-130

14. 12

Step-by-step explanation:

11. 780/6 because there are 6 people so we split it evenly.

14. 24/2 = 12

For number 14 the answer is going to be 12 feet per second
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