if LM=3x-9 and MN=x+1, find LN

Answers

Answer 1

Answer:

LN=12

Step-by-step explanation:

3x-9=x+1 add 9 to both sides

3x=x+10 subtract 1x on both sides

2x=10 divide by 2

x=5

3(5)=15-9=6

5+1=6

6+6=12


Related Questions

Identify the domain and range of the function. Enter your answers as numbers in the boxes; do not include units. Enter the range values in ascending order separated by commas. Age Admission Price under 5 free 5–17 $25 18–64 $40 65 and over $35 What is the domain?

Answers

Given that:

The tables values which represents Age and Admission Price is

   Age           Admission Price

under 5                free

  5–17                   $25

18–64                   $40

65 and over          $35

To find:

Domain and range of the function.

Solution:

Domain is the set of input values.

Here, domain is age because age is an independent variable.

Age cannot be negative, so

[tex]Domain:\{Age\geq 0\}=[0,\infity)[/tex]

Therefore, the domain is all number greater than or equal to 0.

Range is the set of input values.

Here, range is Admission Price because Admission Price is a dependent variable.

Admission Prices are free (i.e., 0), $25, $40 and $35. So

[tex]Range:\{0,25,35,40\}[/tex]

Therefore, range is {0,25,35,40}.

In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds against selecting someone who commutes by bicycle?

Answers

Answer:

So if 25% of the people go to work by bicycle then that means that 75% of people go to work by other means of transportation.

Therefore the odds against selecting someone who commutes by bicycle are 75% or 75/100 or 0.75.

Step-by-step explanation:

The odds against selecting someone who commutes by bicycle are 75%

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly from the town.

25% of the people go to work by bicycle then which means that 75% of people go to work by other means of transportation.

Therefore the odds against selecting someone who commutes by bicycle are 75% or 75/100 or 0.75.

To know more about probability follow

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BRAINLY PLS HELP ME OUT, I NEED HELP !!!!

Answers

Answer:

it would be 6 units

Step-by-step explanation:

Answer: it would be 6

Step-by-step explanation:

what is a terminating decimal​

Answers

Answer:

A terminating decimal is a decimal number that has digits that end.

For example, 0.25. In this decimal, the digit ends at 5. It has 2 decimal digits.

Answer:

a decimal numeral in which, after a finite number of decimal places, all succeeding place values are 0, as ⅛ = 0.125 (contrasted with nonterminating decimal).

Step-by-step explanation:

There are 12 inches in 1 foot and 5,280 feet in 1 mile. Jada ran 3 1 4miles.

Answers

Answer:

16579.2 feet is 3.14 miles (hope this is what you meant, you weren't very clear)

If your asking how many feet she ran she ran 1,657,920 feet.

Jamal made 7 9 of his free throws and Brian made 5 8 of his free throws. Which player has the better record? Explain.

Answers

Answer: Jamal

Step-by-step explanation:

7/9 = 0.777...

5/8 = 0.625

Therefore, Jamal has a higher probability of making it in.

Answer:

Jamal

Step-by-step explanation:

7/9= 0.77

5/8= 0.62

Jamal has a higher probability of making it

Which of the following would eliminate the variable on the left side of the given equation? 36 - 19w = -6w + 41 add -19w add 19w add 6w add -36

Answers

Answer:

[tex]$w=-\frac{5}{13} $[/tex]

Step-by-step explanation:

[tex]36 - 19w = -6w + 41[/tex]

Add 19w in both sides

[tex]36 - 19w+19w = -6w+19w + 41[/tex]

[tex]36 = 13w + 41[/tex]

Add -41 both sides

[tex]-5 = 13w[/tex]

Divide both sides by 13

[tex]$w=-\frac{5}{13} $[/tex]

a plumber charges 60$ for a service call plus $55 for each hour she works

Answers

this may help

My Step-by-step explanation:

the plumber would first make 60 dollars for the call , and then would make 55 dollars for each hour , or about 110 dollars every 2 hours. So, for 1 hour , she would have 105 dollars for the call , and 1 hour of work.  

Mr. Herkowitz owns a jewelry store. He marks up all merchandise 50 percent of
cost. If he sells a diamond ring for $1500, what did he pay the wholesaler for it?

Answers

Answer:

$750

Step-by-step explanation:

Joe is selling hot chocolate for $0.25 per cup. It costs $12 for a case of cocoa mix. Each paper coffee cup costs $0.10. How many cups of hot chocolate does he need to break even?

Answers

Answer: He needs 80 cups.

Step-by-step explanation:$12/$.15=80 cups

the quotient of 45 and 5 form algebraic expression to verbal expression

Answers

The quotient of
45
and
r
is
45
r
. A quotient is the result of a division. For example,
8
4
=
2
. So,
2
is the quotient.

Plz help ASAP I need to get this done I have been working on this for a while and I cant figure out

Answers

Answer:

1 11/80 or

91/80

Step-by-step explanation:

5 1/18 divided by 4 4/9

Change mixed numbers into improper fractions

5 1/18 =  91/18

4 4/9 = 40/9

91/18 divided by 40/9

= 91/80

= 1 11/80

Hope this helps!

Which of the following steps is included in the construction of a perpendicular line through a point on a line? Connect arcs that are above and below the given line with a straightedge. Connect arcs that are above the original line with a straightedge. Create arcs on either side of a point that is off the given line. Create a copied angle by using the first two lines as the original angle.

Answers

Answer:

A because

Step-by-step explanation:

Which the following steps is included in the construction of a perpendicular line through a point on a line? Connect arcs that are above and below the given line with a straightedge. Connect arcs that are above the original line with a straightedge. Create arcs on either side of a point that is off the given line. Create a copied angle by using the first two lines as the original angle.

so the answer is A

The step included in the construction of a perpendicular line through a point on a line is the option:

Connect arcs that are above the original line with a straightedge

The reason for the above selection is as follows:

The steps in the construction of a perpendicular line through a point on a line include

The compass needle is placed at the point through which the perpendicular line is to pass and two arcs or equal radius, r, are drawn on either side of the point crossing the line

Increase the compass width to more than the radius, r, above, place the compass needle at the intersections of the arc and the line drawn above and draw an arc either above or below the line

Repeat the above step from the other intersection of the arc on the other side of the point on the line and draw another arc that intersects the arc in the above step, above or below the line

With the straightedge, draw a line from the given point that passes through the intersection of the arcs above or below the line to complete the construction of a perpendicular line passing through a point on a line

Therefore, the included step in the construction of a perpendicular line through a point is; Connect arcs that are above the original line with a straightedge

Learn more about constriction of perpendicular lines here:

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what is the value of x ?

Answers

Answer:

x = 70

Step-by-step explanation:

Both angles must add up to 180°, by the definition of a line.

Step 1: Set up equation

x - 31 + 2x + 1 = 180

Step 2: Solve for x

3x - 30 = 180

3x = 210

x = 70

Answer:
x=70

Note: both angles add up to 180 because it forms a straight line

Step-by-step

x-31+2x+1=180
3x-30=180
3x=180+30
3x=210
3x/3=210/3
x=70

A rectangular garden has a length of
x + 5 and a height of 2x + 7. What
is the area in terms of x?

Answers

Answer:

area = 2x^{2}  + 17x + 35 square unit

Step-by-step explanation:

if the height is the width:

area = (x + 5)(2x + 7)

area = [tex]2x^{2} + 7x + 10x + 35[/tex]

area = [tex]2x^{2} + 17x + 35[/tex] square unit

Is there any remainders?¿

Answers

yes there’s 44 remainders :)

Destin walked 2km and Jane walked 4,000 ft. What is the approximate combined distance they walked? Note: 1 Foot (ft) is equal to 0.0003048 kilometer (km).
A 1 of a mile 5
B 50 yards
C 2 miles
D) 5 kilometers​

Answers

Answer: Option C.

Step-by-step explanation:

The data is:

Destin walked 2km

Jane walked 4000ft.

Let's write both of those in the same units.

The data given is:

1ft = 0.0003048km.

and 4000ft is 4000 times that:

4000ft = 4000*1ft = 4000*0.0003048km = 1.22km

Then if we add those, we get:

Total distance = 2km + 1.22km = 3.22km

So we can already discard option D.

Now, we know that:

1km = 0.6214 miles.

then 3.22 km is 3.22 times that amount:

3.22km = 3.22*1km = 3.22*(0.6214 mi) = 2 miles

The correct option is C.

The equation 18+0.25p= c gives the cost c in dollars that a store charges to deliver an appliance that weighs pounds. Use the equation and a table to find the weight of an appliance that costs ​$58 to deliver.

Answers

The answer is 160 after being divided by 0.25

Solve for y:
3x - 5y = 20

Answers

Steps to solve:

3x - 5y = 20

~Subtract 3x to both sides

-5y = 20 - 3x

~Divide everything by -5

y = -4 + 3/5x

Best of Luck!

The equivalent value of the expression is y = ( 3x - 20 ) / 5

Given data ,

Let the equation be represented as A

Now , the value of A is

3x - 5y = 20

On simplifying the equation , we get

3x - 5y = 20

So , the left hand side of the equation is equated to the right hand side by the value of 20

Adding 5y on both sides , we get

3x = 20 + 5y

Subtracting 20 on both sides , we get

5y = 3x - 20

Divide by 5 on both sides , we get

y = ( 3x - 20 ) / 5

Therefore , the value of y = ( 3x - 20 ) / 5

Hence , the expression is y = ( 3x - 20 ) / 5

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When people agree to give up some of their rights in order to be protected by their
government.
What is the term for this?
State of Nature
Separation of Power
Social Contract
O Natural Rights

Answers

Social contract is the answer. We don’t have complete free will or else it would be complete anarchy. So we don’t steal and follow the law, and in return we are protected by our government.

s
A design for a lbrary has a scale of
1 inch = 1 foot. The height of the library
in the drawing is 12 inches. What is the
actual height of the library?
ale
del?

Answers

the height of the library is 12 feet

Answer:

12

Step-by-step explanation:

The height of the library in the drawing were 12.

What is another name for line m?

Answers

I’m pretty sure it’s the slope

g(x) = x2 - 2x +3 for g

Answers

Answer:

Since  

x

is on the right side of the equation, switch the sides so it is on the left side of the equation.

x

2

2

x

+

3

=

G

(

x

)

Multiply  

G

by  

x

.

x

2

2

x

+

3

=

G

x

Subtract  

G

x

from both sides of the equation.

x

2

2

x

+

3

G

x

=

0

Use the quadratic formula to find the solutions.

b

±

b

2

4

(

a

c

)

2

a

Substitute the values  

a

=

1

,  

b

=

2

G

, and  

c

=

3

into the quadratic formula and solve for  

x

.

(

2

G

)

±

(

2

G

)

2

4

(

1

3

)

2

1

Simplify.

Tap for more steps...

x

=

2

+

G

±

G

2

+

4

G

8

2

The final answer is the combination of both solutions.

x

=

2

+

G

+

G

2

+

4

G

8

2

x

=

2

+

G

G

2

+

4

G

8

2

Step-by-step explanation:

Does anyone know this?

Answers

Answer:

exact form: x = √ 17 + 9 , − √ 17 + 9

decimal form: 13.12310562

Step-by-step explanation:

Add  43  to both sides of the equation. Add  −  9  and  43 .Divide each term by 2. Then simplify it. Take the square root of each side to set up the solution for x. The solution is the result of both the positive and negative portions of the solution.

Hope this helps!

Miranda was babysittingfor a friends parents saturday morning and was paid $12.50 per hour. Later that evening, she was babysitting for another couple that paid her $18.75 per hour for 5 hours. What was mirandas average rate of pay per hour for the day?

Answers

Answer:

10-20 dollars per hour

3 (x + 1) - 5 = 3x - 2
has how many solutions?

Answers

Answer:

Zero Solutions

Step-by-step explanation:

3x+3-5=3x-2

3x-3x= -2+5

0= 3

0 does not equal 3, so zero solutions.

What number is 7/10th of 85​

Answers

59.5 you’re welcome :)
answer: 59.5
steps: 7/10 times 85

2. What is 7.5% in decimal notation?​

Answers

0.075 if you mean that answer

Consider the statements below. Statement 1: All circles are similar. Statement 2: All squares are similar. Statement 3: All right triangles are congruent. Statement 4: All equilateral triangles are congruent. Which statement is/are correct? ​

Answers

Answer:

Statement 1 2 and 4

Step-by-step explanation:

7x - 11 = 5x + 25 what is the answer to this question

Answers

Answer:

12x+14

Step-by-step explanation:

Answer: x=18

Step-by-step explanation: 7x−11=5x+25

Step 1: Subtract 5x from both sides.

7x−11−5x=5x+25−5x

2x−11=25

Step 2: Add 11 to both sides.

2x−11+11=25+11

2x=36

Step 3: Divide both sides by 2.

2x /2 = 36 /2

x=18

Answer:

x=18

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