The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM : MN : NO is equal to 3 : 1 : 5. If LO=36, find NO.

NO = ( )

Answers

Answer 1

Answer:

NO = 20

Step-by-step explanation:

If the pieces are in the ratio of 3:1:5 and the whole thing is 36, then set up an equation:

3x + 1x + 5x = 36

and solve, see image.

The Points L, M, N And O All Lie On The Same Line Segment, In That Order, Such That The Ratio Of LM :

Related Questions

what percent of 7 is 3.5

Answers

Answer:

50%

Step-by-step explanation:

what percent of 7 is 3.5

3.5 is half of 7, so 100%: 2 = 50%

Answer: 50%

I have shown two methods, both work well and can be used to solve other scenarios as well.

[Method One]

     We will set up a proportion and solve.

-> A percent divided by 100 is a decimal. This means 100% = 1 in our proportion

[tex]\frac{1}{7} =\frac{x}{3.5}[/tex]

7x = 3.5

x = 0.5

0.5 * 100 = 50%

[Method Two]  

     We will put the whole value in the denominator, and the "what percent of" value is the numerator.

[tex]\displaystyle \frac{3.5}{7}[/tex]

0.5

0.5 * 100 = 50%

Suppose your​ friend's parents invest $ 10,000 in an account paying 5% compounded annually. What will the balance be after 8 ​years?

Answers

Answer:

A = $14,745.544

Step-by-step explanation:

The equation for compound interest is 

A = P (1+i)t 

A = final value

P = amount invested (principal) (10000)

i = interest rate, expressed as a decimal (.05)

t = number of years invested (8)

This formula assumes annual compounding.

Plugging in what we know.

A = 10000(1.05)^8

A = 10000 (1.47745544)

A = $14,745.544

URGENT!!! NEED BY 11:59 EDT time!!!!!!!!!!!!!!!!!!!!!! WORTH 100 POINTS WITH CORRECT ANSWER AND EXPLANATION

Karen has 3 different INTEGER test grades (from a teacher that NEVER gives bonus questions or extra credit) that are all B+ and says that it doesn’t matter how high a grade she gets on the last test of the term because she’ll still only end up with no higher than a B+ test average. What is the SMALLEST score that proves her wrong?

Answers

Usual gradation standards

90+—≥ A+80-90—>A70-80—»B+60-70—»B50-60—⟩C+40-50—»C30-40—»D<30—≥Fail (F)

So inorder to make her wrong we need something less than B+ I e <70

Smallest score is 0 largest score is 70 .

how many numbers between 75 and 500 are divisible by 7?​

Answers

The first one is 77 and the last one is 497
The number of multiples of 7 between 75 and 500 = (497 - 77)/7 + 1 = 61

Can someone explain how to do this plez I NEED HELP

Answers

Answer:

42

Step-by-step explanation:

well , here we can find the unknown variable which is X

127 = 3X+2 ( vertically opposite angles are equal)

127 = 3X+2

3x+2= 127

collecting like terms

3x = 127-2

3x = 125

dividing bothsides by 3

3x/3 = 125/3

x = 41.66

x = 42 (approximately)

A triangular pyramid is formed from three right triangles as shown below.
Use the information given in the figure to find the length FH.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
28
53
117

Answers

Answer:

  FH = 108

Step-by-step explanation:

The given figure requires we use the Pythagorean theorem to write two relations involving right triangle side lengths. The Pythagorean theorem tells us the square of the hypotenuse is the sum of the squares of the other two sides.

__

Triangle EGH:

  EG² = GH² +HE²

  GH² = EG² -HE² = 53² -28² = 2025 . . . . . solve for GH², use given values

Triangle FGH:

  FG² = GH² +FH²

  FH² = FG² -GH² = 117² -2025 = 11664 . . . . solve for FH², use known values

  FH = √11664 = 108 . . . . . take the square root

The length FH is 108.

A business serves 18 customers with 67 staff to maintain a strong ratio of staff to guests. How many staff members would be needed if 298 customers are expected?

Answers

Answer:

x = 67 *272    = 364.48 = 364 (rounded as requested).  

Step-by-step explanation:

Use the proportion

   50 = 272  

    67      x

May I know the values of x and y of the following equation?
(5-3i)(x-yi) = 3(x+2yi)+1-2i​

Answers

Answer:

  (x, y) = (17/31, 1/31)

Step-by-step explanation:

Simplify the given equation, then equate real parts and equate imaginary parts. This will give you two equations in the two unknowns.

__

simplify

  (5 -3i)(x -yi) = 3(x +2yi) +1 -2i

 5x -5yi -3xi +3yi² = 3x +6yi +1 -2i

  (5x -3y) +i(-5y -3x) = (3x +1) +i(6y -2)

equate real, imaginary parts

This resolves to the two equations ...

5x -3y = 3x +1-5y -3x = 6y -2solve the system

Putting these equations into general form gives ...

  2x -3y -1 = 0

  3x +11y -2 = 0

Using the "cross multiplication method" to solve these equations, we get ...

  x = ((-3)(-2) -(11)(-1))/(2(11) -3(-3)) = 17/31

  y = ((-1)(3) -(-2)(2))/31 = 1/31

The values of x and y that satisfy this equation are ...

  (x, y) = (17/31, 1/31)

_____

You can read more about the cross multiplication method here.

https://brainly.com/question/26397343

Find the area of the shapes below. Make sure to label your answers with units.

Answers

Triangle: 13.3 km Why: the formula is 1/2 base x height.
Square: 57.4 Why: 7x8.2 which equals 57.4

Figure a: The area of the triangle is 13.3 sq. km.

Figure b: The area of the rectangle is 57.4 sq. cm.

Figure c: The area of the parallelogram is 45.5 sq. km.

Figure d: The area of the trapezoid is 24.36 sq. m.

What is the area of a two-dimensional figure?

The area of a two-dimensional closed figure is the total space within its boundary.

How to solve the question?

In the question, we are asked to find the area of the given shapes.

Figure a:-

It is showing a triangle.

The area of a triangle is calculated using the formula:

Area = (1/2)*Base*Height.

Thus, the area of the triangle

= (1/2)*7*3.8 sq. km

= 13.3 sq. km.

Figure b:-

It is showing a rectangle.

The area of a rectangle is calculated using the formula:

Area = Length*Width.

Thus, the area of the rectangle

= 8.2*7 sq. cm

= 57.4 sq. cm.

Figure c:-

It is showing a parallelogram.

The area of a parallelogram is calculated using the formula:

Area = Base*Height.

Thus, the area of the parallelogram

= 9.1 * 5 sq. km

= 45.5 sq. km.

Figure d:-

It is showing a trapezoid.

The area of a trapezoid is calculated using the formula:

Area = (1/2)*(Sum of parallel sides)*(height).

Thus, the area of the trapezoid

= (1/2)*(2.7 + 8.9)*4.2 sq. m.

= 11.6 * 2.1 sq. m.

= 24.36 sq. m.

Learn more about the area of figures at

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Adelle keeps track of the time her bus arrives at her stop. Since she has been keeping track, her bus has arrived on time 16 days and has been late on 4 days. Based on her data, what percentage of the time should Adele expect the bus to be late?

Answers

Answer:

25%

Step-by-step explanation:

4 days of 16 days is 25% or 1/4

Hope this helps! ;-)

solve by completing the square

Answers

Step-by-step explanation:

[tex] {x}^{2} + 2x - 2 = 0[/tex]

Now Adding three on both sides we get

[tex]{x}^{2} + 2x - 2 + 3 = 0 + 3[/tex]

[tex] {x}^{2} + 2x + 1 = 3[/tex]

[tex] {(x + 1)}^{2} = 3[/tex]

pls help me with this 10 ponits

Answers

Answer:

I believe it is B

Step-by-step explanation:


Together, teammates Pedro and Ricky got 2682 base hits last season. Pedro had 280 more hits than
Ricky. How many hits did each player have?

Answers

Answer:

Ricky had 1201 hits and

Pedro hade 1481 hits

Step-by-step explanation:

Let Ricky be 'y'.

Since, Pedro hit 280 mroe than Ricky.

Pedro is 'y+ 280'

Thus,

y + y+ 280 = 2682

2y = 2402

y = 1201

Ricky had 1201 hits and

Pedro hade 1201 + 280 = 1481 hits

Answer:

See below ~

Step-by-step explanation:

Let :

Hits by Ricky = xHits by Pedro = x + 280

Solving :

Mentions the sum is 2682x + x + 280 = 26822x = 2402x = 1201

Solution :

Hits by Ricky = x = 1201 hitsHits by Pedro = x + 280 = 1201 + 280 = 1481 hits

00
Select the correct answer.
Using synthetic division, find (2x +4x3³ + 2x+8x+8) + (x+2).
OA 213 + 2x + 4
OB. 214 +21² +41
OC 213 +21+4+=+2
OD. 213 +21² + 4
Reset
Next

Answers

Answer:
the answer is c in the book
Step-by-step explantion:

17 Which numbers make the comparison true? 27,768 Select the two correct answers. A 27,759 8 28.744 26,773 27,568 E 27,836​

Answers

Answer:

B and D

Step-by-step explanation:

hope it helps in some way possible

what fraction of one day is 36 mins​

Answers

Answer:

1 day = 1440min

so 36min of a day = 36/1440 = 1/40

Help please
50 points

Answers

Answer:

The answer would be B

Step-by-step explanation:

Step 1: 3x + 12 = 3 Step 2: ? Step 3: x = −9 ÷ 3 Step 4: x = −3 What is the missing Step 2? 3x = 9 3x = 15 3x = −9 3x = −15

Answers

The missing step is to subtract 12 from both sides of the equation.

The step would be:

3x = -9

3x=-9 is the missing step

The Sum of ages of kofi and akosua is
29 years. koti is 3 years older than Akosua.
How old
are
they?

Answers

I think the answer would be 16 and 13

Answer:

I think the answer is 12 and 19

16. Farhan bought a bag and a wallet at a discount from a store. He was
given a discount of 30% for the bag. For the wallet, a discount was also
given. He saved a total of $66.60.
He paid a total of $121.40 for the 2 items and paid $46.60 more for the
bag than the wallet.
a) What was the price of the bag without discount?
b) What was the percentage discount given for the wallet?

Answers

A) the price of the bag without discount was $120, and B) the discount on the wallet was 45%.

Percentages

Given that Farhan bought a bag and a wallet at a discount from a store, and he was given a discount of 30% for the bag, and for the wallet, a discount was also given, and he saved a total of $66.60, and he paid a total of $121.40 for the 2 items and paid $46.60 more for the bag than the wallet, to determine A) what was the price of the bag without discount, and B) what was the percentage discount given for the wallet, the following calculations must be performed:

(121.4 - 46.6) / 2 = Wallet37.4 = Wallet

1-0.3 = 0.70.7 = 841 = X84 / 0.7 = X120 = X

66.6 - (120 - 84) = X66.6 - 36 = X30.6 = X68 = 10037.4 = X37.4 x 100 / 68 = X55 = X

Therefore, A) the price of the bag without discount was $120, and B) the discount on the wallet was 45%.

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Answer:A) the price of the bag without discount was $120, and B) the discount on the wallet was 45%.

Step-by-step explanation:

Math
What can you say about the mean rainfall when comparing the two time periods?

The mean in period 2 is higher than the mean in period 1.
The mean in period 1 is higher than the mean in period 2.
The mean in period 1 is the same as the mean in period 2.

Answers

Answer:

[tex]\bullet \ \large\text{The mean in period 2 is higher than the mean in period 1.}[/tex]

Step-by-step explanation:

the mean in period 1 :

(2.3+2.1+2.2+2.2+2.2+2.1+2.4+2.5+2.2+2.0+1.9+1.9+2.1+2.2+2.3)÷15=21.733...

the mean in period 2 :

(2.3+2.1+3.3+1.5+3.6+1.6+3.0+1.1+4.7+2.1+2.4+1.9+2.8+0.5+2.3)÷15=23.466...

Since 23.466 > 21.733 then “The mean in period 2 is higher than the mean in period 1”.

What is the perimeter of the following composite figure?

Answers

Answer:

I think it is 15. if I am wrong sorry, but if I am right mark brainliest!!

i think it’s 18….lmk if i’m right

HELP I KEEP GETTING WRONG!

True Or False?

Click picture for the Questions!

Answers

Answer:

1. False

2. True

3. True

4. True

Step-by-step explanation:

A rational number is a number that can be written as a fraction of two integers. An irrational number can not be written as a fraction of two integers.

(Remember that an integer and a whole number are the same).

This means that...

All whole numbers/integers are rational.

This means that 1 is False and 2 is True

3 is true for reasons mentioned above.

4 is just asking the same as 3.

pls answe asap and show work!
11. What is (f.g)(x)?
f(x) = x3 + 3
g(x) = 2x2 + x - 1
-
=

Answers

(fg)(x)f(x).g(x)(x³+3)(2x²+x-1)x³(2x²+x-1)+3(2x²+x-1)2x⁵+x⁴-x³+6x²+3x-3

Answer:

[tex](f \cdot g)(x)=2x^5+x^4-x^3+6x^2+3x-3[/tex]

Step-by-step explanation:

Given functions:

[tex]f(x)=x^3+3[/tex]

[tex]g(x)=2x^2+x-1[/tex]

Therefore:

[tex]\begin{aligned}(f \cdot g)(x) & =f(x) \cdot g(x)\\& = (x^3+3)(2x^2+x-1)\\& = x^3(2x^2)+x^3(x)+x^3(-1)+3(2x^2)+3(x)+3(-1)\\& = 2x^5+x^4-x^3+6x^2+3x-3\end{aligned}[/tex]

Find the area of the window


Answers

Answer:

Area = 1250cm²

Step-by-step explanation:

Area of a kite = pq/2

where p and q are diagonals

p = 25+25 = 50

q = 30+ 20 = 50

Area of a kite = pq/2

Area = (50*50 ) / 2

Area = 1250cm²

Solve the system by substitution.
y= -6x-7
y= -7x

Answers

Answer:

 x = 7

 y = -49

Step-by-step explanation:

Solving system of equation by substitution method.

           y = -6x - 7 ---------------(I)

           y = -7x -------------------(II)

Substitute y = -7x  in equation (I)

          -7x = -6x  - 7

   -7x + 6x = -7

            -x   = -7    

Multiply both sides by (-1)

           [tex]\sf \boxed{\bf x = 7}[/tex]

Substitute x =7 in equation (II)

       y = -7*7

       [tex]\sf \boxed{\bf y = -49}[/tex]

Answer:

X = 7 Y = -49

Step-by-step explanation:

Y= -6 X -7---------(1)

Y= -7 X ------------(2)

using substitution method, substitute equation two into equation one

-7 X = -6X -7

-7 X+6X = -7

- X = -7

cancelling the - sign on bothsides

X = 7

put X = 7 into equation (2)

Y = -7(7)

Y = -49

therefore, X = 7 Y= -49

Calculus, factor the given polynomial completely.

Answers

(X-8)(x-9)

-8x-9=72
-8+-9=-17

Find the sum and express it in simplest form. (3a2+2a)+(5a2-a-7)

Answers

3a²+2a+(5a²-a-73a²+2a+5a²-a-73a²+5a²+2a-a-78a²+a-7

Done

[tex] \pink{\underline{\boxed{8a²+a-7}}}[/tex]

Solution :-

[tex]\Longrightarrow\sf{(3a ^2 + 2a) + (5a^2 -a-7)}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{3a^2+ 2a + 5a^2-a-7}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{8a^2+2a-a-7}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex] \Longrightarrow\sf{8a^2+1a-7}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{8a^2+a-7}[/tex]

[tex]\red{━━━━━━━━━━━━━━━━━━━━━━}[/tex]

N
The accurate scale drawing shows
the positions of port P and a lighthouse L.

c)
N
Lindsey sails her boat from port P
on a bearing of 050°
She sails for 12 hours at an average
speed of 5 km/h to a port Q.
Ito-
L
p*
Scale: 1 cm represents 3 km.
a) Indicate the position of port Q on the drawing (use the x tool).
(2)
b) Find the distance, in km, of port Q from lighthouse L.
(1)
c) Find the bearing of port Q from lighthouse L.
)
(2)
Total marks: 5
Feedback

Answers

The  Indication of the position of port Q on the drawing is shown by using the example of the image attached.

What is the distance about?

To Indicate the position of port Q on the drawing (use the x tool).

12 * 5  = 60km

Note that S=  VT

Because 1cm represent 3km

1/3 =x/60

3x = 60

x= 60/3

x= 20

So therefore, 60km needs 20cm.

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Find the critical points of the function f(x)=45x^4/5+x^9/5​

Answers

Answer:

Step-by-step explanation:

[tex]\mathrm{Critical\:Points\:of}\:45\frac{x^4}{5}+\frac{x^9}{5}:[/tex] [tex]x=-\sqrt[5]{20},\:x=0[/tex]

Critical Point Definition:

Critical points are points where the function is defined and its derivative is zero or undefined.

Find where [tex]f'(x)[/tex] is equal to zero or undefined

[tex]x=-\sqrt[5]{20},\:x=0[/tex]

Identify critical points not in [tex]f(x)[/tex] domain

Domain of [tex]45\frac{x^4}{5}+ \frac{x^9}{5}: -{ \infty} < x < { \infty}[/tex]

All critical points are in domain

[tex]x=-\sqrt[5]{20},\:x=0[/tex]

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