Use the Distributive Property to expand 6(-4x + 3y).​

Answers

Answer 1

Answer:

-24x + 18y

Step-by-step explanation:

6 x -4x = -24x

6 x 3y = 18y

Answer 2

The simplified expression is  -24 x + 18y.

What is Distributive Property?

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

Given:

6(-4x + 3y).​

Now, using Distributive Property

a x (b+ c)= a x b+ a x c

So, 6(-4x + 3y).​

= 6 x (-4x) + 6 x 3y

= -24 x + 18y

Hence, the simplified expression is  -24 x + 18y.

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Related Questions

HELP ME PLESE HOW TO SOLVE IT

Answers

the answer I guess is 8.

Micah is planning a road trip. He estimates that he will drive a total of of 8 1/4 hours. He wants to stop for gas after 1/3 of the total time has passed. How long will he drive before he stops for gas? Express your answer as a mixed number.

a. 8 1/12 hours

b. 2/3 hours

c. 11/4 hours

d. 2 3/4 hours

Answers

8.25 hours is our base number here. 1/3 of it is taken up when he stops at the gas station.

8.25, 4.125 is half of it, 2.75 is our answer for this,

8.25/3 gives you 2.75 due to 2.75 making it 5.5 when doubled and so on

so, the answer is 2 3/4 hours, D

Solve each equation. Check your solution.

2.2n + 0.8n + 5 = 4n

Answers

N=5



Ignore this I’m just writing more

Norah has 2 3 ton of stone to spread equally in 4 square yards. How many tons of stone will be spread in each square yard

Answers

Answer:

The answer is 1/6.

Step-by-step explanation:

The question is worded in such a way to be open to misunderstanding. I feel it could mean Norah must spread her stone at the rate of 2/3 of a ton per square yard across 4 square yards and the total is sought.

It could also be saying that Norah has 2/3 of a ton to be divided equally across 4 square yards and is seeking the amount of stone each square yard needs.

In the former case it is a matter of multiplying the vulgar fraction by four and in the latter case the answer could be approached by considering the total amount of stone given is four times the answer that is required and so would be given by dividing 2/3 by 4/1 or more simply by multiplying by 1/4 and not forgetting to cancel the resulting fraction down to the lowest common denominator.

A better way for practical purposes would be to convert 2/3 of a ton into pounds and then divide by four. A workman required to do the work would not be messing around with fractions but would be working in pounds and tons or if using Imperial measure it would be pounds, stones, hundredweight and tons.

Solve for y
Simplify your answer as much as possible.

-6y = -18

Answers

Answer:

y = 3

Step-by-step explanation:

-6 divided by -18 = 3

-6y= -18

Divide both sides of the equation by -6

-6y\(-6) = -18\(-6)

y= -18/(-6)

y= 18/6

y= 3

(3, 4) was dilated to become point X' (12, 16). What was the
scale factor?

Answers

Step one: correspond x values and y values together

         it would be: 3, 12   and    4, 16

Step two: divide

12/3 = 4         and     16/4 = 4

both numbers = 4

scale factor is 4

First consider 100%. What is 100% of $40?

Answers

Answer:

$40

Step-by-step explanation:

100% just means the whole, so 100% of $40 is $40.

T(p)=(p-0.5)(1000/1-p^2)
p∈{0.5,∞)
Find all the critical points.
b- Find Extreme values and Absolute Extreme values.
c- Determine the behavior of function in the given interval.
d- What happened as p tends to infinity i.e.

e- Sketch the graph using information from a to d points.

Answers

Answer:

Step-by-step explanation:

T' = 1000(p^2 - 1 + 1)/(p^2-1)^2

(a) since T' is never zero, there are no maxima or minima.

However, there are asymptotes at p = -1 and p=1

(b) no extremes

(c) on [0.5,1) T increases to ∞

on (1,∞) T increases from -∞ to 0

(d) y=0 is the horizontal asymptote

there are lots of handy online graphing sites.

the sum of 8 inches and 5 times the length x of a table

Answers

Answer:

Step-by-step explanation:

you translate this in

8+5x

Given: wzx and yzx are right triangles, wx = yx. Prove wxz ~= yx .....plz answer will give brainlyest!!

Answers

Answer:

The answer is below

Step-by-step explanation:

From the question,

Statement                                           Reason

ΔWZX and ΔYZX are                         Given

right angled triangles

WX = YX                                              Given

XZ ≅ XZ                                               Reflexive property. The reflexive  

                                                            property of congruence states that              

                                                            any shape is congruent to itself.

∠XZW = ∠XZY                                     Definition of right angle.

∠XWZ = ∠XYZ                                     Definition of isosceles triangle.

                                                             Triangle XYW forms a right angled  

                                                             triangle since YX = WX

∠XWZ + ∠WXZ + ∠XZW = 180°           Sum of angles in triangle WZX

∠XZY + ∠XYZ + ∠YXZ = 180°            Sum of angles in triangle YZX

∠XWZ + ∠WXZ + ∠XZW =                 Substitution

∠XZY + ∠XYZ + ∠YXZ

∠XYZ + ∠WXZ + ∠XZY =                 Substitution

∠XZY + ∠XYZ + ∠YXZ

∠WXZ = ∠YXZ                                  Simplification

100 points and brainliest for best answer please i need help


Write 4x^2 + y^2 - 32x + 4y + 52 = 0

Answers

Answer:

dy/dx= -4x+16/y+2

Step-by-step explanation:

just cause also if you need to classify then it's ellipse (this is to find the first derative)

do you need it in standard form

Help please...................

Answers

Answer:

7 1/8

Step-by-step explanation:

4 + 2 = 6

6/8 + 3/8 = 9/8 or 1 1/8

1 1/8 + 6 = 7 1/8

In a sample of 800 adults, 242 said that they liked sugar cereals. Three adults are selected at random without replacement. Find the probability that all three like sugar cereals.

Answers

Answer:

[tex]P(A) = 0.0274[/tex]

Step-by-step explanation:

Given

[tex]n = 800[/tex] --- Population

[tex]A = 242[/tex] --- those that liked sugar cereals

Required

Probability that three selected like sugar cereals

The probability that the first adult selected likes sugar cereals is:

[tex]P(A_1) = \frac{242}{800}[/tex]

The probability that the second adult selected likes sugar cereals is:

[tex]P(A_2) = \frac{242-1}{800-1} = \frac{241}{799}[/tex]

We subtracted 1 because it is a probability without replacement

Similarly:

[tex]P(A_3) = \frac{241-1}{799-1} = \frac{240}{798}[/tex]

The required probability is calculated as follows:

[tex]P(A) = P(A_1) * P(A_2) * P(A_3)[/tex]

[tex]P(A) = \frac{242}{800} * \frac{241}{799} * \frac{240}{798}[/tex]

[tex]P(A) = \frac{242*241*240}{800*799*798}[/tex]

[tex]P(A) = \frac{13997280}{510081600}[/tex]

[tex]P(A) = 0.0274[/tex]

HELP!! WILL GIVE BRAINLIEST!!!

The direct proportion y=kx is given in the following table. Find the coefficient k, and fill in the table:

Answers

Answer:

Look at image

Step-by-step explanation:

image shown below, copy the answer from there.

The value of coefficient k is 5. The required values are y = 15.5 when x = 3.1, y = 12.5 when x = 2.5, y = 6 when x = 1.2, y = 4.5 when x = 0.9, x = 0.06 when y = 0.3, and x = 0.02  when y = 0.1.

What is the equation?

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

The direct proportion y = kx is given in the shown table.

Find the coefficient k, and fill in the table:

As per the question, we have

y = kx    .....(i)

To  determine the value of k, we substitute the value of x = 0.14 and y  = 0.7 in equation (i),

⇒ 0.7 = k (0.14)

⇒ k = 0.7/0.14

⇒ k = 5

Substitute the value of k = 5 in equation (i), and we get

y = 5x   .....(ii)

Now, we are finding the values of the table,

Substitute the value of x = 3.1 in equation (ii), and we get

y = 5(3.1)

y = 15.5

Similarly, the other required values are

y = 12.5 when x = 2.5, y = 6 when x = 1.2, y = 4.5 when x = 0.9, x = 0.06 when y = 0.3, and x = 0.02  when y = 0.1.

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Help plz:)))I’ll mark u Brainliest

Answers

The answer is 1/3. For example, when you go from 39 ft on triangle Q to 13ft on triangle P, the number is 1/3 the original (Q).

2 companys are in a leage together.
company 1 :it costs 20 dolors to come to the house and 30 dollors per hour to work on the house.
company 2: it costs 40 for them to come to the house and it costes 25 dollars a hour to work on the house.
how log do they both have to work for their total cost equel.

Answers

Answer:

I believe it would be 9 hours for company 1, and 10 for company 2

Step-by-step explanation:

30 x 9 = 270 (+ the first 20) =290

25 x 10 = 250 (+ the first 40) =290

Identify the slope and y-intercept of the following equation:
Y= -1/2x + 6

Answers

slope = -1/2

y-intercept = 6

<3


Given the description of the sequence, write the first four terms in the numeric sequence.
A geometric sequence with a common ratio of -3 and an initial term of 3

Answers

Answer:

3, -9, 27, -81

Step-by-step explanation:

Multiply -3 everytime starting from 3.

Why are these triangles similar?

Answers

Answer:

I think they are similar by SAS.

Step-by-step explanation:

Both triangles may not be the same size, but they have similar sides and similar angles.

what is (52-43)/3x(2+3) the slash means divide please help !!!!!!!!!!!!!!!

Answers

Answer:

9 ÷ 15x

Step-by-step explanation:

( 52 - 43 ) /3x ( 2 + 3)

PEMDAS

Parenthesis, Exponents, Multiplication, Divison, Addition, Subtraction

Do the parenthesis first.....

52 - 43 = 9

9 ÷ 3x ( 2 + 3)

Parenthesis ( do the distributive property...multiply 3x by whatever is inside the parenthesis)

9 ÷ 3x × 2 + 3x × 3

9 ÷ 6x + 9x

Combine like terms (both x's)

9 ÷ 15x

You can't do anymore, since it is just an expression, and not an equation

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Harper sells appliances. She makes a weekly salary of $450 plus 3% commission on her total sales for the week. If her sales this pasts week were $3,200, find her total earnings for the week.

Answers

Answer:

$ 246

Step-by-step explanation:

3% of 3,200 is 96

so 96 + 450 = 246

Will mark brainliest!!! Solve for each variable!

Answers

Answer:

x = 4, y = 116

Step-by-step explanation:

In a parallelogram, the opposite sides and opposite angles are congruent.

3x + 4 = 16 ( subtract 4 from both sides )

3x = 12 ( divide both sides by 3 )

x = 4

and

y - 60 = 56 ( add 60 to both sides )

y = 116

Does this graph show a function? Explain how you know.
A. Yes, there are no y-values that have more than one x-value.
B. No; the graph fails the vertical line test.
C. No; there are y-values that have more than one x-value.
O D. Yes; the graph passes the vertical line test.

Answers

Answer:

we cant see the graph ... post again so we can help

please help me with this question!​

Answers

Answer:

[tex]-\frac{4}{9}[/tex]

Step-by-step explanation:

Answer:

What the first guy said.

Step-by-step explanation:

What is the difference between lateral area and total surface area?

Answers

[tex]\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}\star[/tex]

The lateral surface area of an object is all of the sides of the object, excluding its base and top.

The total surface area of an object is is all of the sides of the object.

Option [c] is correct !

New car purchase and financed with documentation and registration feeds

Answers

Answer:

Uhh

Step-by-step explanation:

what?

if you mean u bought a new car congrats

Which table represents a linear function?







Answers

Answer:

you are flying a kite that has been released with 200 M of string the string forms in angle of 30° with the ground how high is the kite flying

ADD ANSWER

+5 PTS

Step-by-step explanation:

Somebody please tell me how to solve this-

Answers

Answer:

64ft

Step-by-step explanation:

a+b/2xh

17+9=16

16/2=8

8x8=64ft

A cubic root function has a domain of x>=7 and a range of y>=-1, what is the domain of its inverse?

Answers

Answer:

The domain of the inverse is x >= -1

Step-by-step explanation:

Functions:

Domain: Values of input(usually x).

Range: Values of output(usually y)

Inverse function:

The domain of the inverse function is the range of the original function.

The range of the inverse function is the domain of the original function.

In this question:

Original function has range y >= -1.

So the domain of the inverse is x >= -1

20% of Aussies have blue eyes. If 4 Aussies in a play group have blue eyes, how many Aussies are in the group?

Answers

Answer:

20

Step-by-step explanation:

Step 1: 4 = 20% × Y

Step 2: 4 = 20/100 × Y

Multiplying both sides by 100 and dividing both sides of the equation by 20 we will arrive at:

Step 3: Y = 4 × 100/20

Step 4:Y = 4 × 100 ÷ 20

Step 5: Y = 20

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

20% = 4

100% = 20

The total number of people in the group is 100 people.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

We have,

Number of Aussies with blue eyes = 4

Percentage of blue eyes in the Aussies = 20%

This can be written as:

20% = 4

Now,

The percentage of the total number of people in the group = 100%

So,

20% = 4

Multiplying 5 on both sides.

5 x 20% = 5 x 4

100% = 20

This means,

The total number of people in the group is 100.

Thus,

The total number of people in the group is 100 people.

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