L
1. If M is between L and N, find MN given:
LN = 6x-5, LM = x + 7, and MN = 3x + 20
M
N

Answers

Answer 1

The length of MN is 68.

what is Algebra?

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

LN = 6x-5, LM = x + 7, and MN = 3x + 20

As, M is in between L and N.

LM + MN = LN

x+7 + 3x+ 20 = 6x-5

4x + 27 = 6x -5

-2x = -32

x= 16

So, the length of MN = 3x + 20 = 3 * 16 + 20 = 68

Hence, the length of MN is 68.

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Related Questions

What is the value of p?
p-43
p
p+45°
Exterior angle theorem

Answers

Answer: p=178/3 degrees

Step-by-step explanation:

Based on the problem, I THINK these three angles add up to 180 degrees

(p-43)+(p)+(p+45)=180

p-43+p+p+45=180

p+p+p-43+45=180

3p+2=180

3p=178

p=178/3 degrees

the floor of an elevator in a building is 30.5 Ft above ground level. it travels down to the lower level of the building, where the floor is 10.75 feet below ground level . what distance has the elevators floor traveled ? ​

Answers

The distance travelled by the elevators floor is 41.25 feet.

The floor of the elevator was = 30.5 feet above the ground level.

Initial position = + 30.5 feet

Now, the elevator is 10.75 feet below the ground level.

Final position = - 10.75 feet.

So, the distance travelled by the floor of the elevator is:

Distance = + 30.5 feet - ( - 10.75 feet)

Distance = 30.5 feet + 10.75 feet

Distance = 41.25 feet.

Therefore, we get that, the distance travelled by the elevators floor is 41.25 feet.

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Write the equation of a line that goes through (8,-3)

Horizontal line-
Vertical line-

I actually need help please explain not just answers. Is it just x=8 and y=-3?

Answers

Answer:

yes!

Step-by-step explanation:

that is the solution above

find x when y is -1. y= -7/8x+17

Answers

Answer:

x is 20.57

Step-by-step explanation:

-1 minus 17 is -18. -18 divided by -7/8 is 20.57

Answer:

Step-by-step explanation:

-7/8x+17=-1

Now we need to find what +17 = -1

-1 - 17 = -18

Now we find out how many times -7/8 go into -18

-18 / (-7/8) = 20.57412857

So x = 20.57412857

As a fraction, that would be 144/7

Hope this helps ^^

hello giving Brainly

find surface area of composite shape show ur work​

Answers

hey do you mind helping me with my question on my page?

How many hundreds are in the hundreds place in the number 243?

Answers

Answer:

2 hundreds

Step-by-step explanation:

there is the number 2 in place of the hundreds

There are 2 hundreds in the number 243 because the 2 in 243 is 100 so add both and it’s 2 hundreds.


Write a two-column proof.
Given: V is the midpoint of YW;
UY || XW.

Prove: ΔU V Y≅ ΔX V W

Answers

We reached the conclusion that ΔUVY≅ ΔXVW under SSA condition.

What is meant by the congruency of a triangle?If all three corresponding sides are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent.These triangles can be moved, rotated, flipped, and turned to look exactly the same.They will coincide if they are repositioned.Two triangles are congruent if they satisfy the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).

So,

Given: V is the midpoint of YW; UY || XW.

To Prove: ΔUVY≅ ΔXVW

YV = VW = (Given)UY = WX = (Given: parallel)∠UVY = ∠XVW (Inversely opposite angles)

So, ΔUVY≅ ΔXVW under SSA contion.

(Refer the table shown below)

Therefore, ΔUVY≅ ΔXVW under SSA contion.

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Is (4, -2) a solution to -6x + y = -26 ?

Answers

Answer: ask the teacher to break it down for u

Step-by-step explanation:

that simpile

y=6x-26, Although I didn't really get what were you looking for

Khloe is a salesperson who sells computers at an electronics store. She is paid a $5
commission for every computer sale she makes and she also makes a guaranteed base
pay of $90 each day. Make a table of values and then write an equation for P, in
terms of a, representing Khloe's total pay on a day on which she sells a computers.
Number of Computers Sold Khloe's Daily Pay in Dollars
90 ✓
95 ✔
100✓
105 ✓
Answer: P =

Answers

By finding and evaluating a linear equation, we will complete the table:

Number of computers sold|   Khloe's Daily pay in dollars:

90                                                                  $540  

95                                                                   $565

100                                                                  $590

105                                                                  $615

How to complete the table?

Here we know that Khloe is a salesperson who ells computers, and she gets $5 for each computer sold, plus a base pay of $90 each day.

Then if in a day she sells x computers, the amount that she wins that day is given by the linear function:

f(x) = $90 + $5*x

Now we want to complete the table:

Number of computers sold|   Khloe's Daily pay in dollars:

90

95

100

105

To complete the table we just need to evaluate the linear function in these values of x, we will get:

f(90) = $90 + $5*90 = $540

f(95) = $90 + $5*95 = $565

f(100) = $90 + $5*100 = $590

f(105) = $90 + $*105 = $615

Now we just need to input these values in their correspondent place on the given table, we will get:

Number of computers sold|   Khloe's Daily pay in dollars:

90                                                                  $540  

95                                                                   $565

100                                                                  $590

105                                                                  $615

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what is the outside area of a 3D object​

Answers

The answer for 2.4 is E

The data below is going to be plotted on a
line graph. Part of the grid is shown.
a) How many squares wide does the grid
need to be so that the data fits on the graph?
b) If the grid is 20 squares tall, then what
number should replace A to give the vertical
axis the best scale for plotting the data?
Time since start Distance from start
(minutes)
(km)
0
0
5
0.5
10
1.2
15
1.5
20
1.4
25
1.7
30
1.1
35
0.8
Distance from start (km)
A
0 5 10 15
Time since start (minutes)

Answers

(a )7  squares wide grid

(b) If the grid is 20 squares tall, then

number should replace A to give the vertical

axis the best scale for plotting the data . A = 0.1

According to the data,

(a) x = 35  one square represents five       {calculate the width

    there need 7 compartment in x axis.                 proportionally}

    so the answer is 7 square wide

(b) The largest value of distance from store is 1.9 km

     the grid is 20 square tall  {when A = 0.1, 20× 0.1 = 2 km > 1.9 km}

     so A = 0.1

The grid method is a written method, which is used when multiplying numbers. It involves partitioning numbers into tens and units before they are multiplied. The grid method for multiplication is also known as the box method, because it involves adding numbers into boxes.

What is the Grid Method of multiplication?

The grid method is a written method, which is used when multiplying numbers. It involves partitioning numbers into tens and units before they are multiplied. The grid method for multiplication is also known as the box method, because it involves adding numbers into boxes.

Before you start teaching them to use the grid method for these slightly more advanced multiplications, you should first check that they:

- have a solid understanding of times tables;

- can multiply any number by 10;

- can multiply one-digit numbers by multiples of 10 (for example, 6 x            

   20, 8 x 70 and so on);

- can multiply two multiples of 10, (for instance, 40 x 90);

- can reliably add four numbers, some of which are three-digit.

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(a )7  squares wide grid

(b) If the grid is 20 squares tall, then

number should replace A to give the vertical

axis the best scale for plotting the data . A = 0.1

According to the data,

(a) x = 35 five squares are represented by one; determine the width.

In the X axis, 7 compartments are required. proportionally}

the response is 7 square broad.

(b) 1.9 km represents the furthest distance from the store.

When A = 0.1, the grid has 20 squares, so 0.1 = 2 km is greater than 1.9 km.

so A = 0.1

When multiplying numbers, a textual method called the grid method is employed. Prior to multiplication, it entails dividing integers into tens and units. The box method, which involves adding numbers to boxes, is another name for the grid method of multiplication.

What is the multiplication grid method?

When multiplying numbers, a textual method called the grid method is employed. Prior to multiplication, it entails dividing integers into tens and units. The box method, which involves adding numbers to boxes, is another name for the grid method of multiplication.

Prior to instructing students to perform these marginally more difficult multiplications using the grid method, you need make sure the following:

- possess a firm grasp of the times tables;

- is capable of ten times any number;

- has the ability to multiply one-digit values by multiples of 10 (for instance, 6 x).

8, 20, and so forth);

- is capable of multiplying two multiples of 10, such as 40 x 90;

— able to add four numbers, some of which are three digits, with reliability.


Solve each equation. Check each solution.4/x-2 = x-1/x-2

Answers

The solution of equation 4/x-2 = x-1/x-2 is x = 5

In this question, we have been given an equation.

4/x-2 = x-1/x-2

We need to find the solution of given equation.

4/x-2 = x-1/x-2

Here, denominator is same on both the sides.

So, we can cancel it from both the sides.

So, given equation would be,

4 = x - 1

4 + 1 = x

x = 5

We need to check above solution.

Substitute x = 5 in LHS of given equation.

LHS

= 4/x - 2

= 4/(5 - 2)

= 4/3

Also, substitute x = 5 in RHS of given equation.

RHS

= x - 1 / x - 2

= (5 - 1)/(5 - 2)

= 4/3

So, LHS = RHS

Therefore, the solution of equation 4/x-2 = x-1/x-2 is x = 5

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Help asap please

Maria wanted to bring back 5 million grams of sand from her trip to the beach. Each grain of sand weighs approximately 6.7 x 10^-7 kg. How heavy is the bag of sand that Maria brings home?

a
Multiply 5 x (6.7 x 10^-7) = 33.5 x 10^-7 = 3.35 x 10^-6 kg
b
Divide (5,000,000 / 6.7 x 10^-7) = (5 x 10^6) / (6.7 x 10^-7) = (5 / 6.7) x (10^(6 - 7)) = .74 x 10^-1 = 0.074 kg
c
Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + 7)) = 33.5 x 10^13 = 3.35 x 10^14 kg
d
Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg

Answers

The weight of the bag she brings home is; D: Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg

How to use scientific notation?

We are told that Maria wanted to bring back 5 million kg of sand from her trip to the beach. Thus;

Amount of sand she wanted to bring out = 5,000,000 kg = 5 * 10⁶ kg

Now, we are told that each grain of sand weighs 6.7 * 10⁻⁷ kg. Thus, the total amount of sand she brings home is;

(5 * 10⁶) * (6.7 * 10⁻⁷) = (5 * 6.7) * (10⁶ ⁻ ⁷) = 33.5 * 10⁻¹ = 3.35 kg

Thus, the correct answer is; Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg

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How much more would $10,000 earn in 3 years compounded daily at 1.33%, than compounded semi-annually at 1.33%?

Answers

Answer:

$19,192,529,147.31

Step-by-step explanation:

Daily compounded = 10,000 * (1.0133)^(365*3) = $19,193,611,648.31

Semi-annually compounded = 10,000 * (1.0133)^(2*3) = $10,825.01

The total difference in cost is 19,193,611,648.31 - 10,825,01 which is $19,192,529,147.31

Jalissa's mom purchased coffee from the local coffee shop. The first cup of coffee was $4.25. Each refill is $2.25. She also decided to get a bagel for $3.15. If Jalissa's mom had 2 refills and a $0.50 discount as part of the rewards program, how much did she spend at the coffee shop?

Answers

4.25 + 2(2.25) + 3.15 - 0.50 = $11.40
Answer: $11.40

Look at the picture and help me find how many planes there are.

Answers

Answer:

I think B- 8

help me ...........................................,.........................,.............

Answers

The values to the nearest tenth are:

a. 1. 43

b. 26. 41

c. 11. 69

d. 4. 57

e. 15. 77

How to determine the values

Given the equations;

a. 4. 186 - 2. 758

Find the difference

1. 428

1. 43

b. 72. 05 - 45. 64

Find the difference

26. 41

c. 82. 156 - 41. 31 - 29. 16

Find the difference

11. 686

11. 69

d. 17. 054 - 11. 65 - 0. 83

Find the difference

4. 574

4. 57

e. 29. 16 - 12. 48 - 0. 91

Find the difference

15. 77

Thus, the values to the nearest tenth are 1. 43, 26. 41 , 11. 69, 4. 57, 15. 77

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An amusement park ride consists of four circular cars. The ride rotates at a rate of 0.25 revolution per second. In addition, each car rotates 0.5 revolution per second. If Jane is positioned at point P when the ride begins, what coordinates describe her position after 31 seconds?

Answers

Let ride rotate in clockwise direction ( cw ) then position will be co - ordinate ( 0, 3)

What does coordinate mean in this case?

To coordinate is to make plans for things to come together or to collaborate with another person to achieve a goal. Coordination occurs when all the details of a journey are planned. When you and a friend divide up a large science project and decide who will do what, that is an example of coordination.

As per given problem ride rotates at a rate of .25 revolution /sec

so in every 4 sec it completes 1 full revolution .

In every 1 sec it revolves by 90° only .

In 28 sec car 1 complete 7 full revolution so , in next 3 sec

So , in next 3 sec it completes only 270.

Here car itself also rotates at the rate of .5 revolution .

So in 31 sec it it completes is full revolution .

& in next 1 second  it completes 180° revolution .

Case - 1  Let ride rotate in counter clockwise ( ccw) then find position will be at co - ordinate ( 0, - 1 ) .

Case - 2 Let ride rotate in clockwise direction ( cw ) then position will be  co - ordinate ( 0, 3)

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4. Two brands of cooking fat, Omega 1 and Omega 2 are melt and mixed to produce a new brand, Omega super. The density of Omega 1 is 2.5g/cm³ and that of Omega 2 is 2.0g/cm³, calculate the density of the mixture given that the two brands are mixed in the ratio of 5:3 respectively by volume. (4 mks)​

Answers

Step-by-step explanation:

2.0

2.5cm,

8888888888888888822

What is the ph at the equivalence point of a weak base-strong acid titration?
a) ph < 7
b) ph = 7
c) ph > 7
d) ph = 14

Answers

(B) Between 0 and 7, best describes the pH at the equivalence point of a titration of a weak base with a strong acid.

What is Equivalence Point?A standardized acid/base titrant reactant and an unknown base/acid analyte reactant combine in a specific stoichiometry (molar ratio) to produce the respective conjugate products in an acid-base titration experiment. The analyte reactant is in excess early in the titration, and the titrant is limiting. When enough titrant is added, the analyte reactant is completely consumed and only products remain. This is the titration's equivalence point. At this point, the pH of the solution is determined by the relative strength of the starting reactants.

So, consider the following example of ammonia (a weak base) titrated with HCl (a strong acid):

[tex]\mathrm{NH}_3+\mathrm{HCl} \rightarrow \mathrm{NH}_4^{+}+\mathrm{Cl}[/tex]

Only the products remain at the equivalence point.

We can disregard the chloride anion. The ammonium cation, on the other hand, is a weak conjugate acid with sufficient acidic strength that we must consider it.

It dissociates according to the following equilibrium, resulting in a mildly acidic pH of less than 7:

[tex]\begin{aligned}&\mathrm{NH}_4^{+} \leftrightharpoons H^{+}+\mathrm{NH}_3 \\&K_a=5.6 \times 10^{-10}\end{aligned}[/tex]

Therefore, (B) between 0 and 7, best describes the pH at the equivalence point of a titration of a weak base with a strong acid.

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The correct question is given below:
Which best describes the pH at the equivalence point of a titration of a weak base with a strong acid?

A. less than zero

B. between 0 and 7

C. close to 7.0

D. between 7 and 14

E. greater than 14

The measures of two vertical angles are 32° and (2x + 2)°. Find the value of x

Answers

Answer:

x = 15

Step-by-step explanation:

Vertical angles, also called opposite angles sometimes, are angles that across from each other.

They are congruent meaning they have equal measurement

We can write the following equation based on these information to find the value of x :

2x + 2 = 32 subtract 2 from both sides

2x = 32 divide both sides by 2

x = 15


Find the domain and range of each relation and determine whether it is a function.
(-3,4),(-1,2),(0,-2),(1,0),(2,2)

Answers

The domain and range of the give relation can be determined by listing the x values for the domain and listing the y values from the range. If each x corresponds to only one y, it is a function.

Domain of a relation refers to all the input values of the relation. Hence, domain is the set of all x coordinates. In the given data, the domain is:

{-3, -1, 0, 1, 2}

Range of a relation refers to all the output values of the relation. Hence, range is the set of all y coordinates. In the given data, the range is:

{4, 2, 0, -2}

In order for a relation to be a function, each x must correspond to only one value of y i.e., an x   has one y value. For example, for a relation x = 4 and y = 1,2, hence it is not a function.

In our relation, each x value has only one y value, it is a function.

Mapping the relation can also give us the answer in a simpler way.

As there is one arrow leaving each x value, it is a function. (If two arrows are leaving an x value it is not a function.  

Hence, for the relation given, Domain: {-3, -1, 0, 1, 2}, Range: {4, 2, 0, -2} and it is function.

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Jeff and Cameron are arguing about which one of them is faster. Jeff says "I can run
7
77 kilometers per hour!" and Cameron says "I can run
100
100100 meters per minute!"
Which one is faster?

Answers

The person who is faster is Jeff.

How to illustrate the information?

Jeff says "I can run 7 kilometers per hour!.

On the organs hand, it can be seen that Cameron says "I can run 100 meters per minute!"

It should be noted that that 1000km = 1 meter and that kilometers is higher than meter.

Therefore, the person who is faster is Jeff.

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3 more than m as an equation

Answers

Answer:m+3

Step-by-step explanation:hope this helps

The weight of a gold bar varies directly with its volume. If a 40 cm³ bar weighs 772 grams, how much will a 100 cm³ bar weigh?

Answers

Density is a material's intrinsic (intrinsic) property that depends on how much it occupies a particular space and possibly on temperature.

Density is expressed in units of mass divided by volume. The International Standard Unit (SI) is the kilogram per cubic meter ("cube") or kg/m3. Some commonly used density units are grams per cubic centimeter, or we can also express it as g/cm3; it is more widely used in laboratories.

Mass and volume are related by a term called density.

The formula gives the relation between the mass and the density of an object:

Density = Mass/ Volume

We can extract the desired quantity from this formula, and here it is mass, so,

Mass = Density x Volume

So, by using the above information, 100 cm^3 bar weighs 1930gm.

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Make a table of values for f(x) after the given translation. 1 unit down.

Answers

Using equations of the form y=f(x), you may be able to modify the graph in various ways.

For example, you can move the chart up, down, left, or right, flip it around the x or y-axis, or stretch or shrink it vertically or horizontally. Understanding these transformations makes it easy to graph different functions. Start with a "basic model" and apply a series of modifications to change it to the desired function.

X     F(X)      F(X)-1

-1       1             0

1        3            2

3       5            4

5       7            6

7       9            8

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The dual-energy x-ray absorptiometry (dexa) is the gold standard measurement for body composition. (gold standard = most accurate form of measurement) true false

Answers

The DEXA is the most accurate form of body composition measurement.

What is an x-ray?

An X-ray is a rapid and painless technique which is commonly used to generate images of the internal parts of a human body. It is a very effective and convenient way of looking for bone damages and other problems.

Explanation

The statement 'the dual-energy x-ray absorptiometry (DEXA) is the gold standard measurement for body composition is true. Here, the gold standard means the most accurate form of measurement.

Hence, the given statement is true.

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Victor is saving his money to buy a new satellite radio for his car. He wants to save enough money for the radio and one year of satellite radio service before he makes the purchase. He started saving for the radio with 50 that he got for his birthday. Since then, he has been adding 15 every week after he cashes his paycheck.
c. How long will it take Victor to save 150 ?

Answers

Victor takes approximately 7 weeks to save 150.

Given,

Initial savings of victor = 50

Savings added by victor weekly = 15

We have to find the time taken by victor to save 150.

We know that victor saved 50 which he got for his birthday.

Then, 150 -50 = 100

That is by saving 15 weekly victor has to make a total of 100.

Therefore, to find the time taken by victor to save 100 is:

100 / 15 = 6.66, approx 7

That is victor takes approximately 7 weeks to save 150.

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What additional statement is needed in a proc import step when dbms = dlm is specified?

Answers

Now let's process the ASCII text file using the IMPORT and EXPORT procedures.

Must specify ASCII text file delimiter in DBMS options.

PROC IMPORT DATAFILE ="c:\sas\ego.csv" OUT=jeeshim.egov DBMS=CSV REPLACE;

GETNAMES=YES;

DATAROW = 2;

RUN

DATAFILE lets you import an external file.

Designates a SAS data file.

The DBMS specifies the type of external file. For example, "DBMS=DLM", "DBMS=CSV", and "DBMS=TAB".

REPLACE overwrites the existing file, if any.

GETNAMES reads the variable names from the first line of the data file.

The DATAROW option tells the row from which SAS reads the observations.

GETNAMES and DATAROW require a semicolon at the end.

This example exports the data set to an ASCII file by the specified range. DATA and OUTFILE respectively define the set of data to be output and the external file to which the data is output.

PROC export

DATA = jeeshim.egov

OUTFILE="c:\sas\ego.txt"

DBMS = DLM REPLACE;

RUN;

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6.) The perimeter of a square is 12√5 cm. Find the length of each side and the area of the
square.

Answers

the perimeter Is equal to the length of each side moltiplicated for 4, so the length of each side Is: l=P/4=12√5/4=3√5.

The area of the square Is the square of the length of each side, so: A=12√5x12√5= 144x5 (at the moment i haven't a calculatour to use)

Other Questions
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