Expand and simplify 3(2x + 1) +2(x + 4)

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].

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:

Answer:

-0.4

Step-by-step explanation:

you just take 2 of them to find it

Answer:

Step-by-step explanation:

What type math is this?

Answer:distributive

Step-by-step explanation:

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

Answer:

need my points

Step-by-step explanation:

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.

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

9514 1404 393

Answer:

  108, 77

Step-by-step explanation:

Let x represent the larger part. Then ...

  x + (x -31) = 185

  2x = 216

  x = 108

  x -31 = 77

The two parts are 108 and 77.

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]

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.

Answer:

-3.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Hope this helps! Please mark brainliest

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.

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.

Answer:

The length of FG is 2.

Step-by-step explanation: B and F are the same point, just reflected, so BC=FG.

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

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

Answer:

1. E , 2. JK , 3. L , 4. E , 5. LE

Step-by-step explanation:

JUST TOOK THE TEST.

Answer:

Complete the statements.

Point  

✔ E

is the midpoint of side  

✔ JK

.

To finish the construction, draw a segment from vertex  

✔ L

to point  

✔ E

.

Then, segment  

✔ LE

is a median of triangle JKL.

Step-by-step explanation:

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.

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

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.

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.

Answer:

A) 2

B) 71

c) 4

D)42

Step-by-step explanation:

Draw the Venn diagram starting from the intersection of all

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

Answer:

1/5x

Step-by-step explanation:

Got it right on Edge

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.