Distributive property
[tex]6(2x + y) + 2y - 12x[/tex]
How can I simplify this expression and justify it ​

Answers

Answer 1

Answer:

8y

Step-by-step explanation:

=(6)(2x)+(6)(y)+2y+−12x

=12x+6y+2y+−12x

Combine Like Terms:

=12x+6y+2y+−12x

=(12x+−12x)+(6y+2y)

=8y

Answer 2

Answer:

8y

Step-by-step explanation:

6(2x+y) comes first 12x+6y then you take 2y and add it from 6y giving you 8y and that gives you the most simplified answer 12x and -12x cancel each other out


Related Questions

the lager of two numbers is 10 less than twice the smaller number if te sum of the two is 38 find the largest number

Answers

Answer:

22

Step-by-step explanation:

a=larger number     b= smaller number

a=2b-10,  a+b=38

2b-10+b=38

3b=48

3b/3=48/3

b=16

a+16=38

a=38-16

a=22

pls give me the correct answer and solution thank you​

Answers

Answer:

C 13

Step-by-step explanation:

2 right-angled triangles. so, Pythagoras applies for both.

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90° angle).

starting with the small triangle we have

5² = 3² + x-part²

x-part² = 5² - 3² = 25 - 9 = 16

x-part = 4 cm

the markers indicate that x-part as the third side of the small triangle is exactly as long as the other part of x.

that means

x = 2 × x-part = 2 × 4 = 8 cm

for the large triangle we then get

y² = x² + 15² = 8² + 225 = 64 + 225 = 289

y = 17 cm

and so,

y - x = 17 - 8 = 9

but that is not an answer option.

and now it dawned on me : x was not meant to be the whole third side of the large triangle. x is supposed to be only the upper part of that side, above the small triangle.

in essence, x is what I originally called "x-part".

so, the Pythagoras calculations remain basically the same, but we should name things differently like

5² = 3² + small-side²

small-side = 4 cm

x = small-side = 4 cm

long-side = 2 × small-side = 2 × 4 = 8 cm

y² = long-side² + 15² = 8² + 15² = 64 + 225 = 289

y = 17 cm

and the actual y - x = 17 - 4 = 13 cm

whats the mean????????

Answers

Answer:

the mean is 5

Step-by-step explanation:

josh drove 258 miles using 3/4 tank of gas? at the same rate, how far could he drive on ome full tank of gas?

Answers

Answer:

344miles

Step-by-step explanation:

if 258=3/4

=1

258÷3/4=344

Answer:

344 miles

Step-by-step explanation:

258 ÷ 3/4 = 344

Homeroom 2b sold 70 candy bars or 35% of all the candy bars sold. How many candy bars were sold in all?

Answers

Answer:

24.5

Step-by-step explanation:

35% of 70 is  24.5

so 70 plus 24.5 = 94.5

Rewrite 6/5 as a mixed number.

Answers

6 goes into 5 1 time and then you’ll have 1 left over so it would be 1 1/5

Answer:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 6 by 5 and keep only what is to the left of the decimal point:

6 / 5 = 1.2000 = 1

Step 2 - Find New Numerator

the answer from Step 1 by the denominator and deduct that from the original numerator.

6 - (5 x 1) = 1

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 6/5 as a mixed number is:

1 1/5

     

Step-by-step explanation:

Find the length of the rectangle.

The area of the rectangle is fifty-six square miles. The width of the rectangle is seven miles. The length of the rectangle is L.
A. 21 mi
B. 8 mi
C. 30 mi
D. 4 mi

Answers

Answer:

B

Step-by-step explanation:

If the area of the whole rectangle is 56 square miles then just divide that by the width (7).   56 / 7 = 8. Hope this helps!

PLSSS HELPPPP ASAP

Keiko stopped and bought 13.9 gallons of gas at a cost of $3.85 per gallon. How much did Keiko pay for the gas?

A. $53.52
B: $59.77
C. $535.15
D. 597.70

Answers

Answer:

A

Step-by-step explanation:

Multiply 13.9 and 3.85

Answer:

IS A

Step-by-step explanation:

youre welcome

11. Which of the following is the measure of ZQRS?​

Answers

if there’s a small square at a corner then that automatically means it equals 90 degrees, therefore the answer should be B.

if 300 people come to the gym on a given day, approximately how many people would you expect to exercise for more than 136 minutes?​

Answers

Answer:  120

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

Explanation:

Add up the numbers in the second column:

4+19+25+32 = 80

There are 80 people being surveyed in the table.

Of those 80 people surveyed, 32 of them exercised for more than 136 minutes.

The probability of selecting someone who exercised for more than 136 minutes is the fraction 32/80 = (16*2)/(16*5) = 2/5

----------

Multiply this probability with the larger sample size of 300 to get

(2/5)*300 = 0.4*300 = 120

We estimate that 120 people would exercise for more than 136 minutes.

Note that 120/300 = 2/5.

There is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?

Answers

Answer:

Step-by-step explanation:

The first probability of it being red = 5/11

The key to the question is that you replace the red marble you took out. So there are still 5 red marbles.

You still have a 5/11 chance of getting a red marble.

P(red + red) = 5/11 * 5/11

Answer

P(red + red) = 25 / 121

A student made the table to find 40% of 130.
Which expression can be used find 40% of 130?
26x5
26x4
26x3
26x2

Its timed plssss help!!!

Answers

Answer:

26 x 2

Step-by-step explanation:

40% of 130 = 52

26 x 2 = 52

Answer: 26x2

Step-by-step explanation:

What is the decimal equivalent to -3 3/12

Answers

[tex]______________________________________________[/tex]

What is the decimal equivalent to -3 3/12

[tex]\huge\rm{ANSWER:}[/tex]

[tex]\huge \rm{ - 3.25}[/tex]

[tex]\huge\rm{SOLUTION:}[/tex]

To begin, keep in mind that - 3 3/12 is a mixed number, also known as a mixed fraction. It has a valid fraction as well as a complete number.

The following is a list of the numbers in a mixed fraction:

[tex]\huge \rm{ - 3}[/tex] the whole number.

[tex]\huge \rm{ 3}[/tex] the numerator

[tex]\huge \rm{ 12}[/tex] the denominator

Follow these procedures to convert -3 3/12 from a mixed number to a decimal number:

Divide the denominator by the numerator to convert the correct fraction to decimal.

3 ÷ 12 = 0.25

To get the entire number of the mixed fraction, multiply it by this decimal number.

-3 + 0.25 = - 3.25

Therefore, the decimal equivalent to -3 3/12 is -3.25

[tex]______________________________________________[/tex]

What is the quotient of StartFraction 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline EndFraction? StartFraction 1 Over 343 EndFraction One-seventh 7 49.

Answers

The quotient of two expressions is the division of the expressions

The quotient of [tex]\frac{7^{-1}}{7^{-2}}[/tex] is 7

How to determine the quotient

The expression is given as:

[tex]\frac{7^{-1}}{7^{-2}}[/tex]

Rewrite the above expression by applying the law of indices

[tex]7^{-1 + 2[/tex]

Simplify the exponent

[tex]7^{1[/tex]

Evaluate the exponent 7 raise to the power of 1

7

Hence, the quotient of [tex]\frac{7^{-1}}{7^{-2}}[/tex] is 7

Read more about quotient at

https://brainly.com/question/7068223

Answer:

D.

Step-by-step explanation:

i will give you brianliest!

Answers

Your answer: 1 x 10^8

For future reference:

A power of 10 is as many number 10s as indicated by the exponent multiplied together. Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.

I need help with this

Answers

Ooooh I. Ned help too but I can help you I think the maths are so difficult

Write an equation that can be used to find the value of x

Answers

Answer:

(180-110)/7

Step-by-step explanation:

angles on a straight line add up to 180

Evaluate the expression when x = 4

-4x + 1.5x - 2.5 - 2x -6.5

Answers

A simple algebra equation!

You have to replace each x with 4, so the equation would look like this:

-4·4+1.5·4-2.5-2·4-6.5

Evaluate the terms, you get:

-16+6-2.5-8-6.5

Then you add and subtract where needed:

-10-16 = -27

And that's the final answer!

ANSWER: 27

You work with a carpenter who asks you to cut trim board in the following lengths: 71/2 inches,
101/2 inches, 9 inches, and 51/2 inches. To do this using only one piece of trim board, how long
must the board be?

Answers

Answer: 32 1/2

Explanation: add up all the fractions

7 1/2 + 10 1/2 + 9 + 5 1/2
18 + 9 + 5 1/2
27 + 5 1/2
32 1/2

Length of board will be 32 1/2 inch.

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

Length of board after cutting are;

7 1/2 inches, 10 1/2 inches, 9 inches, and 5 1/2 inches.

Now, Total length of board is calculated as sum of all cut lengths.

So, Total length of board = 7 1/2 +10 1/2 + 9 + 5 1/2

                                      = 15/2 + 21/2 + 9 + 11/2

                                      = 47/2 + 9

                                      = 65/2

                                      = 32 1/2

Thus, Length of board will be 32 1/2 inch.

Learn more about the addition visit:

https://brainly.com/question/25734188

#SPJ5

help plz! which one is it

Answers

it look like should be #2

Answer:

A

Step-by-step explanation:

We have the graph of the function f(x).

We want to determine which of the given is true of the graph from [tex]x=g[/tex] to [tex]x=\infty[/tex].

So, essentially, we are focusing on the last curve (see image below).

First, since the curve is above the x-axis, the curve is positive.

Second, since the curve is curving upwards, this means that it must be increasing. Another way to think about this is to think about the slope of our curve. While we can't calculate the exact slope, the average slope will be positive, so our function is increasing.

So, our answer is A.

And we're done!

what is the area , in square feet , of the shaded part of the rectangle below?​

Answers

Answer:

208 square feet

Step-by-step explanation:

Area (shaded) = Area (rectangle) - Area(triangle)

= (17 x 16) - 1/2(16 x 8)

= 16 (17 - 4)

= 16 (13)

= 208 square feet

this and one more question

Answers

f(x) = 2(x - 3) + 4

For finding f(-8) just substitute the value of x as -8

f(-8) = 2{(-8) - 3} + 4

= 2{-11} + 4

= -22 + 4

= -18

Answer:

-18

Step-by-step explanation:

substitute x with -8

solve normally

what is the range of this piecewise function

Answers

Answer as a compound inequality: [tex]-4 \le y < 2[/tex]

Answer in interval notation:  [-4, 2)

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

Explanation:

The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.

The lowest point occurs when y = -4. We include this value. So far we have [tex]y \ge -4[/tex] which is the same as [tex]-4 \le y[/tex]

The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that [tex]y < 2[/tex]

Combine [tex]-4 \le y[/tex] and [tex]y < 2[/tex] to get the compound inequality [tex]-4 \le y < 2[/tex]

This says y is between -4 and 2, including -4 but excluding 2.

To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.

I’m working on a fireworks portfolio and I need someone to check my work. Does this look good or am I way off. Thank you best answer gets brainliest

Answers

1) Height of local building = 10 feet

2) Intial velocity of a fireworks = 100 ft/sec

3) h(t) = -16t^2 + h  

Answer: everything looks correct from my side

Step-by-step explanation:

A student scored in the 85th percentile on her chemistry exam. What does this student's score mean in relation to those of the other test takers? (4 points) Group of answer choices Her score was better than those of 85% of all test takers. Her score was worse than those of 85% of all test takers. Her score on the exam was 85%. Her score was in the top 85% of all test takers' scores.

Answers

Answer:

The answer is  

her score was in the top 85% of all test takers' scores.

Step-by-step explanation:

Percentile is the relative standing in a set of data from the lowest values to highest values.

If your score is in the 85th percentile, it means that 85% of the scores are below your score and 15% are above your score.

Answer:

A. Her score was better than those of 85% of all test takers.

Step-by-step explanation:

This means that 85% of the students scored lower on the test, so approximately 15% scored higher.

can someone pls explain how to answer this?

Answers

Answer:

HOPE THIS HELPS

Step-by-step explanation:

You need to first plot the points on the graph.

Since, it says you need to reflect across x axis, you need same number of square units.

For example, P has the coordinates( -2,3 ). -2 lies on the x axis, so the point doesn't go neither left nor right. It is 3 squares above the x axis, so the reflected point should be 3 squares below the x axis. Likewise, you can do the other points.

Hope it helps :)

PLEASE GIVE ANSWER STEP BY STEP ​

Answers

Answer:

Refer to the above attachments....

Hope it helps you....

Answer:

Thanks for the free points.......xd

Calculate the perimeter of the semi-circle shown below. Use 3.14 to approximate n.

Answers

Answer:  25.7 cm

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

Explanation:

A full circle of radius r has the circumference of

C = 2*pi*r

A semicircle will have us divide this value in half

2pi*r turns into pi*r

The curved distance along the top is roughly pi*r = pi*5 = 3.14*5 = 15.7 cm.

Add this onto the straight line distance along the bottom to arrive at 15.7+10 = 25.7 cm

What is the sum of the measures of a 30gon

Answers

Answer:

help me plss huhuhu T_T wjgaiwjzsashs

Answer:

5040°

Step-by-step explanation:

assuming you mean the sum of the interior angles.

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 30 , then

sum = 180° × 28 = 5040°

which of the following is not a prime number answe quickly please !

Answers

Answer:

1,6,14,21, and 42 are not prime numbers of 42.

Step-by-step explanation:

42
21x2(done)
7(done)x3(done)

2, 3, and 7 are prime numbers of 42

Answer:

6

Step-by-step explanation:

because prime numbers are numbers with two factors one and the number itself and 6 is having more than two factors.

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