1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
LuckyWell [14K]
1 year ago
12

If LM = 4x, MN = x + 1, and LN = 6, what is MN?

Mathematics
1 answer:
Ilia_Sergeevich [38]1 year ago
7 0

The value of the MN is 2 according to the assumption on the number line.

According to the statement

We have to find that the value of the MN with the help of the value of the x.

So, For this purpose, we know that the

A number line is a horizontal line that has equally spread number increments.

Now,

Assuming that L, M, and N are points on a number line with L < M < N,

According to the assumption, the equation become

4x + x+1 = 6  

5x +1 =6

5x =5

x = 1.        

Now, the value of the MN become:

MN = x + 1

MN = 1 + 1

MN = 2.

So, The value of the MN is 2 according to the assumption on the number line.

Learn more about number line here

brainly.com/question/4727909

#SPJ9

You might be interested in
A theater has a seating capacity of 750 and charges $3 for children, s5 for students, and $7 for adults. At a certain screening
-BARSIC- [3]

Answer:

Between 150 and 450

Step-by-step explanation:

We are going to find the number by resolving  a system of linear equations.

First we write the system equations :

C+S+A=750

Where C : children, S : students and A : adults

The equation represents the ''full attendance''

The second equation :

3C+5S+7A=3450

This equation represents the totaled receipts.

The system :

C+S+A=750\\3C+5S+7A=3450

has the following associated matrix :

\left[\begin{array}{cccc}1&1&1&750\\3&5&7&3450\end{array}\right]

By performing elementary matrix operations we find that the matrix is equivalent to

\left[\begin{array}{cccc}1&0&-1&150\\0&1&2&600\\\end{array}\right]

The new system :

C-A=150\\S+2A=600

Working with the equations :

C = 150 + A\\S = 600-2A

Our solution vector is :

\left[\begin{array}{c}C&S&A\end{array}\right] =\left[\begin{array}{c}150+A&600-2A&A\end{array}\right]

For example :

If 0 adults attended ⇒ A = 0

C = 150 + 0 \\C = 150\\S = 600 - 2A\\S = 600

This verify the totaled receipts equation :

150($3)+600($5) = $ 3450

A ≥ 0 ⇒ If A = 0 ⇒ C = 150

C = 150 is the minimum children attendance

From the equation :

S = 600 -2A

S ≥0

600 - 2A ≥ 0

600 ≥ 2A

300≥ A

A is restricted to the interval [ 0, 300]

When A = 0 ⇒ C = 150

When A = 300 ⇒C = 150 + A = 150 + 300 = 450

Children ∈ [ 150,450]

With C being an integer number (including 0)

Also S and A are integer numbers (including 0)

7 0
3 years ago
Help please (inequalities)
zaharov [31]

Answer:

The First one is the answer

4 0
3 years ago
Read 2 more answers
Give an equation that goes through the line 3,-1 that is parallel to 6x-5
allochka39001 [22]
Lines that are parallel have the same slope, and the given line (y = 6x - 5) has a slope of 6; we are looking for a line with a slope of 6.
To form an equation for a line, you need to know the y-intercept (the point at which the line intersects the y-axis). The first step to finding the y-intercept is to plot the given point. After you've done that, count six units up (this is our slope) and one to the right; plot the point. Lastly, draw the line by connecting the points and see where the line intersects the y-axis.
My graph shows that the line intersects the y-axis at -17. All that's left now is to put our information together into an equation. I'm assuming the problem wants the equation in slope-intercept form; slope-intercept form is y = mx + b where m is the slope and b is the y-intercept, so it would look like this:
y = 6x -17

Hope this helps.
8 0
3 years ago
Read 2 more answers
Substitute the known value of x​ into y=4x+20​. Then solve for y entering the equation in simplest form
scoray [572]

Answer:

y=24, when x=1.

Step-by-step explanation:

Given: y=4x+20

To find: Value of y, substituting the known value of x

We have,

y=4x+20 ...(i)

Putting x=1 in equation (i), we get

y=4(1)+20

\implies y=4+20

\implies y=24  

Hence, the value of y is 24, when the value of x is 1.

8 0
3 years ago
-5/8 ÷ 9/10<br><br> A. -25/36<br><br> B. -9/16<br><br> C. -45/80<br><br> D. -1/36
Oduvanchick [21]

A. -25/36

If There Is Any Other Fraction problems That You Need Help With, Go To This Site http://www.calculatorsoup.com/calculators/math/fractions.php

5 0
3 years ago
Read 2 more answers
Other questions:
  • Which equation is true for x = –6 and x = 2?
    14·2 answers
  • Please answer soon!! Thank you!!
    12·1 answer
  • If h(x)=5x-3 find h(-4)
    11·2 answers
  • The function f(t) = 20 sin (pi over 5t) + 12 models the temperature of a periodic chemical reaction where t represents time in h
    8·1 answer
  • Which of the following expressions are equivalent to this expression:<br> –1(0) = ?
    9·2 answers
  • If the parent function f(x)=3 square root of x is transformed to g(x)=3 square root of x+2-4
    6·2 answers
  • A
    13·1 answer
  • Select three ratios that are equivalent to 7:3.
    14·2 answers
  • I need help with this specific math problem.
    8·1 answer
  • Six cards with the numbers 1 to 6 are randomly placed face down on a table. what is the probability that a card with a 4 is chos
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!