2(5x + 3) - 2(2x - 3)

Answers

Answer 1

Factor: 6(x + 2)

Simplify: 6x + 12

Answer 2

Answer:

[tex]\boxed {6x + 12}[/tex]

Step-by-step explanation:

Solve the following expression:

[tex]2(5x + 3) - 2(2x - 3)[/tex]

-Use Distributive Property:

[tex]2(5x + 3) - 2(2x - 3)[/tex]

[tex]10x + 6 - 4x + 6[/tex]

-Combine like terms:

[tex]10x + 6 - 4x + 6[/tex]

[tex]\boxed {6x + 12}[/tex] (final answer)


Related Questions

PLEASEEEE HELPPP!!

Which property is illustrated by the equation
3x – 6y = 3(x - 2y)?
1. associative
2.Commutative
3.distributive
4.closure

Answers

Answer:distributive

Step-by-step explanation:

Help me solve this problem please

Answers

Answer:

The answer is B cause thats the slope of the line

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

for starters the equation is:

y = -2/4 + 3

It then simplifies to:

y = -1/2 + 3

Making your answer B.

Graph △ABC with vertices A(–6, 1), B(–3, 3), and C(–1, 0) and its image after the glide reflection.

Translation: (x, y) ---> (x + 1, y)
Reflection: (x, y) ----> in the x-axis

Help please it's for a test!!

Answers

Answer:

Translation: (x, y) ---> (x + 1, y)

Reflection: (x, y) ----> in the x-a



There are 30 students in Mrs. Martinez's class.
1/5 of the class has an Android cell phone.
1/2of the class has an iPhone.
The rest of the students do not have a cell phone.
How many students in Mrs. Martinez's class DO NOT have a cell phone?
A 6 students
B 21 students
C 9 students
D 15 students

Answers

The answer is 9.
1/5 of 30 is 6.
1/2 of 30 is 15
If you add 6+15=21
And then 30-21=9
So I believe the answer is 9! Hope this helps!! <3

Someone wanted this for an assignment so here's the answer...

Corresponding Angles!

Answers

Answer:

need my points

Step-by-step explanation:

The yearly cost in dollars y for a memever at a video game arcade based on total game tokens purchased x is y=1/10x+60. A nonmember pays 0.20$ per game token but no yearly fee

Answers

The yearly cost in dollars, y, for a member at a video game arcade based on total game tokens purchased, x, is y =x + 60.

Answer:

1/5x

Step-by-step explanation:

Got it right on Edge

Given the expressions: 5x+2(x-4) and 7x-8 first prove that they are both equivalent and explain why your method proves this.

Answers

Use distributive property on first equation
5x + 2x - 8
Combine lick terms
7x -8
They are equal

The supply curve for steel is 90x−y=−50. The demand curve is 10x+y=200. x is quantity in thousands of metric tons y is price in dollars per metric ton What are the values for quantity and price at the intersection point of the two curves? To find the values, first use addition to combine the left sides and to combine the right sides of the two equations.

Answers

Answer:

The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].

Step-by-step explanation:

From statement we get the following equations:

Supply curve

[tex]90\cdot x - y = -50[/tex] (1)

Demand curve

[tex]10\cdot x + y = 200[/tex] (2)

Where:

[tex]x[/tex] - Quantity, measured in thousands of metric tons.

[tex]y[/tex] - Price, measured in US dollars per metric tons.

If we add both equations, then we find that quantity is:

[tex](90\cdot x -y )+(10\cdot x +y) = -50+200[/tex]

[tex]100\cdot x = 150[/tex]

[tex]x = \frac{3}{2}\,kton.m[/tex]

Then, we finally find the price by substituting on (2):

[tex]y = 200-10\cdot \left(\frac{3}{2} \right)[/tex]

[tex]y = 200-15[/tex]

[tex]y = 185\,USD[/tex]

The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].

what is the y-intercept of this table? i dont understand it please help thank you.

Answers

Answer:

-0.4

Step-by-step explanation:

you just take 2 of them to find it

The table and graph represent the music downloads Jamila purchased. Downloads (x) 4 6 8 12 Dollars (y) 3 4.5 6 9 If the relationship is proportional, which additional ordered pair would be on the graph?​

Answers

Answer:

(7, 5.25)

Step-by-step explanation:

got it correct on edgeunity hope this helps ya

Answer:

its the second option on edge 2020

Step-by-step explanation: did the assignment

Can somebody plz correct me and answer number 35-36
WILL MARK BRAINLIEST

Answers

35 is greater than
36 is equal to

Answer:

35)The way to solve this is by making the decimal a fraction, 6tenths equals 6/10.

Now we find a common denominator,lets use 30.

multiply the 6/10 by 3 to get 18/30

multiply 2/3 by 10 to get 20/30

2/3 is greater than 0.6

Step-by-step explanation:

The function R(x) = -0.0065x² +0.23x + 8.47 models the American marriage rate R (the
number of marriages per 100 population) x years after 1960. Based on this function, in what
year was the marriage rate the highest? (Hint: The vertex of a parabola is the maximum or
minimum.)
please help

Answers

Given:

The American marriage rate R,  x years after 1960 is defined by the function

[tex]R(x)=-0.0065x^2 +0.23x + 8.47[/tex]

To find:

The year in which the marriage rate is the highest.

Solution:

We have,

[tex]R(x)=-0.0065x^2 +0.23x + 8.47[/tex]

It is a quadratic function with negative leading coefficient. So, it is a downward parabola and vertex of downward parabola is maximum.

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then

[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]

In the given function,

[tex]a=-0.0065,b=0.23,c=8.47[/tex]

Now, x-coordinate of vertex is

[tex]-\dfrac{b}{2a}=-\dfrac{0.23}{2(-0.0065)}[/tex]

[tex]-\dfrac{b}{2a}=-\dfrac{0.23}{-0.013}[/tex]

[tex]-\dfrac{b}{2a}\approx 17.69[/tex]

It means the marriage rate is highest after 17 years of 1960.

[tex]1960+17=1977[/tex]

Therefore, the marriage rate is highest in year 1977.

At the city museum, child admission is $5.20 and adult admission is $9.50. On Friday,133 tickets were sold for a total sales of $928.10. How many adult tickets were sold that day?

Answers

Answer:

55 adult tickets were sold on Friday.

Step-by-step explanation:

A linear system will be used to model the system.

Let c be the number of child tickets and a be the number of adult tickets

Then according to given statements

[tex]a+c = 133\ \ \ \ Eqn\ 1\\9.50a+5.20c = 928.10\ \ \ Eqn\ 2[/tex]

From equation 1

[tex]a = 133-c[/tex]

Putting this in equation 2

[tex]9.50(133-c)+5.20c = 928.10\\1263.5-9.50c+5.20c=928.10\\1263.5-4.3c = 928.10\\-4.3c = 928.10-1263.5\\-4.3c=-335.4\\\frac{-4.3c}{-4.3} = \frac{-335.4}{-4.3}\\c = 78[/tex]

Putting c = 78 in equation 1

[tex]a+78 = 133\\a = 133-78\\a = 55[/tex]

Hence,

55 adult tickets were sold on Friday.

Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.

How many miles does the second cyclist bike in 45 minutes?

Answers

9514 1404 393

Answer:

  9 +3/4b

Step-by-step explanation:

The speed of the second cyclist is b more than 12 miles per hour, so is ...

  2nd cyclist speed = b + 12

The time of interest is 45 minutes = (45/60) hours = 3/4 hours.

The distance the second cyclist travels in 3/4 hour is ...

  distance = speed × time

  distance = (b +12)(3/4)

  distance = 3/4b +9 . . . miles

does anyone know this.
i will give brainliest

Answers

Answer:

4.1 x 10^8

Step-by-step explanation:

Answer:

The answer for meters is 4.1 x 10^8 meters . There are 1000 millimeters in a meter, so the scientific notation is 4.1 x10^11 millimeters.



A survey of 100 parks showed the following.
37 had camping.
28 had camping and hiking trails.
69 had hiking trails. 33 had hiking trails and biking paths.
58 had biking paths. 15 had hiking trails, biking paths and camping.
22 had camping and biking paths.

Answers

Answer:

A) 2

B) 71

c) 4

D)42

Step-by-step explanation:

Draw the Venn diagram starting from the intersection of all

what is the proportion?

Answers

Answer:

a part, share, or number considered in comparative relation to a whole.

Step-by-step explanation:

i searched it up on google cause i'm dumb

I need help!!!!

Write an equation of the line that passes through the points.

(0, −2), (4, −2)

Answers

First you need to find the slope:  (y2 - y1)/(x2 -x1) = (-4 -(-4))/(0-2) = 0.  So the line is horizontal, which means the y coordinate is constant and equal to -4, so the equation of the line is y = -4.

PLEASE HELP I WILL MARK AND 5 STARS SOLVE AND EXPLAIN THANKS

Answers

3 3/4 or 3.75 I think

Calcula x para que sean ciertas las igualdades siguientes:
a. 3x = 243
b. 53 = x
c. x 2 = 64
d. 2x = 128
e. 9x = 729
f. 10x =10.000




Ayuda

Answers

a. 81
b. no entiendo la pregunta
c. 32
d. 64
e. 81
f. 1000

cordenadas cartesianas​

Answers

what is this for ? is this spanish or what can u specify

What is the value of x in the equation –2.4x = 8.4? –20.16 –3.5 3.5 20.16

Answers

Answer:

-3.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

hey!!! So the photo is side ways sorry bout that but I reallyyy need some help

Answers

Answer:

Step-by-step explanation:

What type math is this?

I don't understand proportional relationship can u help? ​

Answers

Answer: I’ll explain it in simpler terms for you. A proportional relationship is one in which two quantities vary directly with each other. Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional. An example of a proportional relationship is simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. Hope this helps! :D

How do I write an equation in slope-intercept form for the line with slope 2/3 & y-intercept -3

Answers

Answer:

Step-by-step explanation:

ok equation are like fraction but let me put it like this lets say x+y=7;x+2y=11 thats how you do eqution done.

how to write this numbers in word 76.68​

Answers

Answer:

seventy-six and sixty-eight hundreths

Step-by-step explanation:

Answer:

seventy six point sixty eight

Step-by-step explanation:

Tbh it depends on the person, but this is how I would say it out loud.

Help please :((((((((((((((

Answers

Step-by-step explanation:

connect the points p and s

and comnect the points q and t

take triangle PQS and triangle TSQ

SQ similar to SQ

PQ similar to QS

QS similar to ST

therefore triangle PQS similar to triangle TSQ

Therefore , PQ/ QS = ST/ QS

PQ=ST

i need help plz ill give brainliest ​

Answers

Answer:

The answer is D

Step-by-step explanation:

Hope this helps! Please mark brainliest

The chances that a student will get 7 marks out of 10 in first attempt of a certain Quiz while attempting Quiz on BlackBoard LMS is 40%. Suppose that 20 students are selected at random then find a probability that i)Exactly 12 students will get 7 marks out 10 in the Quiz. ii)Fewer than 10 students will get 7 marks out 10 in the Quiz. iii)At least 5 students will get 7 marks out 10 in the Quiz.

Answers

Answer:

i) [tex]P(X=12)=0.0355[/tex]

ii) [tex]P(X<10)=0.7553[/tex]

iii) [tex]P(X\geq 5)=0.9490[/tex]

Step-by-step explanation:

Let's start by defining the random variable ⇒

[tex]X:[/tex] '' Number of students that will get 7 marks out of 10 in first attempt of a certain Quiz while attempting Quiz on BlackBoard LMS ''

[tex]X[/tex] is a discrete random variable.

The probability of a randomly selected student getting 7 marks out of 10 is 0.4

(This is a data from the question).

Now, if we assume independence between the students while they are doing the Quiz and also we assume that this probability remains constant , we can modelate [tex]X[/tex] as a binomial random variable ⇒

[tex]X[/tex] ~ Bi (n,p)

Where ''n'' and ''p'' are the parameters of the variable.

''n'' is the number of students attempting the Quiz and ''p'' is the probability that a student will get 7 marks out of 10 which is 0.4 ⇒

[tex]X[/tex] ~ Bi (20, 0.4)  in the question.

The probability function for [tex]X[/tex] is

[tex]p_{X}(x)=P(X=x)=\left(\begin{array}{c}n&x\end{array}\right)p^{x}(1-p)^{n-x}[/tex]    (I)

Where [tex]\left(\begin{array}{c}n&x\end{array}\right)[/tex] is the combinatorial number define as

[tex]\left(\begin{array}{c}n&x\end{array}\right)=\frac{n!}{x!(n-x)!}[/tex]

Replacing the parameters in the equation (I) ⇒

[tex]P(X=x)=\left(\begin{array}{c}20&x\end{array}\right)(0.4)^{x}(0.6)^{20-x}[/tex]    (II)

For i) we need to find [tex]P(X=12)[/tex]

Then, we only need to replace by [tex]x=12[/tex] in equation (II) ⇒

[tex]P(X=12)=\left(\begin{array}{c}20&12\end{array}\right)(0.4)^{12}(0.6)^{8}=0.0355[/tex]

For ii) we need to calculate [tex]P(X<10)[/tex]

This probability is equal to ⇒ [tex]P(X<10)=P(X\leq 9)[/tex] and to calculate it we need to sum [tex]P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)[/tex]

[tex]+P(X=6)+P(X=7)+P(X=8)+P(X=9)[/tex]

We can do it summing each term or either using any program.

The result is [tex]P(X<10)=P(X\leq 9)=0.7553[/tex]

Finally for iii) we need to find  ⇒ [tex]P(X\geq 5)[/tex]

This probability is equal to ⇒ [tex]P(X\geq 5)=1-P(X\leq 4)[/tex] ⇒

[tex]1-P(X\leq 4)=1-[P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)][/tex]

Again we can find each term by using the equation (II) or either using a program. The result is [tex]P(X\geq 5)=0.9490[/tex]

A box is sitting on the floor. The box was then pulled with a force, Ft. The box did not move. The free-body diagram of the box is shown.


Which describes the motion of the box based on the resulting free-body diagram?

A. It is moving up with a net force of 20 N.

B. It is moving to the right with a net force of 10 N.

C. It is in dynamic equilibrium with a net force of 0 N.

D. It is in static equilibrium with a net force of 0 N.

Answers

Answer:

It is in static equilibrium

Explanation:

edge 2021

The box is in static equilibrium, with a net force of 0 N.

Option D is the correct answer.

What is static equilibrium?

Static equilibrium refers to a state of balance where an object is at rest and has no acceleration.

In other words, the object is not moving and is not being subjected to any external forces that would cause it to move.

We have,

The box is at rest and is not moving.

This means that the net force acting on the box is zero.

From the free-body diagram,

We know that there is a force, Ft, acting on the box, and there is an equal and opposite force, Fg, due to gravity.

Since the box is not moving, the force of friction, Ff, must also be present to balance the force of the pull.

So,

The box is in static equilibrium, with a net force of 0 N.

Thus,

The box is in static equilibrium, with a net force of 0 N.

Learn more about static equilibrium here:

https://brainly.com/question/30762026

#SPJ7

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