There is a proportional relationship between any length measured in centimeters and
the same length measured in millimeters. There are two ways of thinking about this proportional relationship. If you know the length of something in centimeters, you can calculate it’s length in millimeters

There Is A Proportional Relationship Between Any Length Measured In Centimeters Andthe Same Length Measured

Answers

Answer 1

The constant of proportionality is 10.

What is constant of proportionality?

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality is the fixed or constant pace at which ratios rise and decrease. Two ratios are said to be directly proportional if they share the same constant of proportionality. Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality. The constant of proportionality is the name given to this consistent pace of growth or decline.

a)

since , 1 cm = 10mm

9cm = 90mm

12.5cm = 125mm

50cm = 500mm

88.49cm = 884.9mm

b)

The constant of proportionality is 10.

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Related Questions

In a mathematics class, half of the students scored 79 on an achievement test. With the exception of a few students who scored 49, the remaining students
scored 78. Which of the following statements is true about the distribution of scores?
A. The mean is greater than the mode.
B. The mean is greater than the median.
C. The mean and the median are the same.
OD. The mean is less than the median

Answers

Answer:

i went with mean is less than median

Step-by-step explanation:

other website lol

What is an algebraic expression for the word phrase 6 times a number n?

Answers

Answer:

6n i guess?

Step-by-step explanation:

think of as this

n=1 (1n)

n×6=n6

Answer:

6n

Step-by-step explanation:

when we say 6times a number,it means 6 multiplying the number

How to find the absolute value of |2b+4| with b=-8

Answers

Step-by-step explanation:

the absolute value simply removes a negative sign, if there is one. if there is no negative sign, it leaves the argument untouched.

so, we need to calculate the argument first :

2b + 4 = 2×-8 + 4 = -16 + 4 = -12

|-12| = 12

that's it.

Circles in the Coordinate Plane
Acellus
Complete the equation of this circle:
А
1

Answers

Answer:

(x -+2)² + (y - 4)² = 36

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 2, 4) and r = 6 , then

(x - (- 2))² + (y - 4)² = 6² , that is

(x + 2)² + (y - 4)² = 36 ← equation of circle

For the polynomial, (((x^3)+3x+2)/5)+((5x^2)/2)-(x^6)
a. Determine the coefficient of x^3.
b. Determine the coefficient of x^6.
c. Determine the constant of the term
polynomial.
d. Determine the degree of the polynomial.

Answers

Answer:

Hello,

Step-by-step explanation:

[tex](((x^3)+3x+2)/5)+((5x^2)/2)-(x^6)\\\\=\dfrac{x^3}{5} +\dfrac{3*x}{5} +\dfrac{2}{5} +\dfrac{5*x^2}{2} -x^6\\\\\\=-x^6+0x^5+0x^4+\dfrac{x^3}{5} +\dfrac{5*x^2}{2} +\dfrac{3*x}{5}+\dfrac{2}{5} \\\\\\a)\ \dfrac{3}{5} \\\\b)\ -1\\\\c)\\degree=6\\[/tex]

Select the correct answer from the drop-down menu.
If A and Bare independent events, P(Aand B) =


1. P(A)
2.P(B)
3.P(A) * P(B)
4.P(A) + P(B)

Answers

Answer:

Step-by-step explanation:

P(A and B)=P(A)*P(B)

pls help. do all three for brainliest!​

Answers

Answer:

Rectangular pyramid volume: 8×9×9/3 = 216 cm³

Rectangular prism volume: 8×9×7 = 504 cm³

Total volume of composite figure: 216+504 = 720 cm³

Answer:

720 cm³

Step-by-step explanation:

Rectangular pyramid:

Volume = [tex]\frac{1}{3}BH[/tex]

H = 9 cm

B-> base area =  area of rectangle

B = length * width = 8*9 = 72  square cm

[tex]Volume = \frac{1}{3}*72*9 = 216 \ cm^{3}[/tex]

Rectangular prism:

length = l = 8 cm

Width = w = 9 cm

Height = h = 7 cm

Volume of rectangular prism = l * w * h = 8 * 9 * 7 = 504 cm³

Volume of composite figure = volume of pyramid + volume of r. prism

      = 216 + 504

      = 720 cm³

Find the coordinates of the image of M (−3, −4) after the translation (x, y) → (x + 4, y).

Answers

Answer:

(1,-4)

Step-by-step explanation:

We add 4 to the x-coordinate, so -3+4=1.

PLEASE HELP! I'M TIMED
Which phrase represents this expression?

(62−42)×3


3 times the difference of 62 and 42

3 times the difference of 42 and 62

the difference of 62 and the product of 3 times 42

the difference of the product of 3 times 42 and 62

Answers

3times the difference of 62 and 42

Solving expression

[tex]\\ \rm\Rrightarrow (62-42)3[/tex]

[tex]\\ \rm\Rrightarrow 3(20)[/tex]

[tex]\\ \rm\Rrightarrow 60[/tex]

Answer:

3 times the difference of 62 and 42

Step-by-step explanation:

(62−42)×3

The difference of 62 and 42 times 3

Please Help!!!!
Write context that will match to the parameters in the following exponential function.
y= 38000. 3x

Answers

Step-by-step explanation:

kak kak jm ok bro open your eyes men open your eyes men open your eyes men open your eyes men open your eyes men open your eyes men open your eyes men

Answer:

n

Step-by-step explanation:

feeeeer

Could someone plz help ^w^ thank you!

Answers

Answer:

The first one:)

Step-by-step explanation:

REMEMBER TO:

1. Give me Brainliest, please... (ASAP)

2. HAVE A WONDERFUL DAY!

Answer:

12 - 7 = 5

Step-by-step explanation:

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Find the interquartile range of the data set that consists of 10, 10, 8, 4, 5, 7, 7, 4, 3, 10.
A. 4
B. 10
C. 7
D. 6

Answers

Answer:

I think 10 is the correct answer.

The Inquartile range of the data set that consists of those numbers is D.6

11) MZHGF = 16x + 4, m EGF = 110°,
and MZHGE = 3x + 11. Find x.
G
H
F
E

Answers

Answer:  x = 9

=======================================================

Explanation:

The smaller angles HGE and EGF combine to form the largest angle HGF.

This is an example of the angle addition postulate.

(angle HGE) + (angle EGF) = angle HGF

(3x+11) + (110) = 16x+4

3x+121 = 16x+4

121-4 = 16x-3x

117 = 13x

13x = 117

x = 117/13

x = 9 which is the final answer

We can stop here.

--------------------

Extra info (optional section)

Use this x value to find each angle shown below

angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degreesangle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degrees

Then notice how,

(angle HGE)+(angle EGF) = 38+110 = 148

which is exactly the measure of angle HGF

This confirms that the equation

(angle HGE) + (angle EGF) = angle HGF

is true for that x value of x = 9. Therefore, the answer is confirmed.

9514 1404 393

Answer:

  11) x = 9°

  13) x = -12°

Step-by-step explanation:

11) ∠HGE +∠EGF = ∠HGF

  (3x +11) +(110°) = (16x +4)

  117° = 13x . . . . . . . . . . . . . . . subtract 3x+4, collect terms

  9° = x . . . . . . . . . . . . divide by 13

__

13) ∠BCF +∠FCD = ∠BCD

  (x +78) +(x +41) = 95°

  2x = -24°

  x = -12°

Find the following measure for this figure.
3
The volume for this figure??

Answers

Answer:

24

Step-by-step explanation:

Volume of a cuboid = length*base*height or 4*2*3=24. The volume of this cuboid is 24.

How to you write 1/25 using exponents

Answers

Answer:

[tex]5^{-2}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] , then

[tex]\frac{1}{25}[/tex] = [tex]\frac{1}{5^{2} }[/tex] = [tex]5^{-2}[/tex]

In exponent form, it should be written as [tex]5^{-2}[/tex].

Given that,

The fraction is [tex]\frac{1}{25}[/tex]We need to write in the exponent form

Based on the above information, the calculation is as follows:

[tex]a^{-m} = \frac{1}{a^{m}} \\\\\frac{1}{25} = \frac{1}{5^{2}}[/tex]

[tex]5^{-2}[/tex]

Learn more: brainly.com/question/17429689

anyone wanna help me with this.

Answers

Answer:

b

Step-by-step explanation:

2/(x+2)≠1/(x+1)

Write an equation of the line. What is the equation of the line?

Answers

Answer:

y=-1

Step-by-step explanation:

As the line is horizontal in nature and pass through (2,-1), the equation is y=-1

Consider the functions F and G in the tables below
PLEASE HELP PLEASE

Answers

Answer:

Option A, As x increases, the rate of change exceeds the rate of f

how do you solve division easly​

Answers

Answer:

division involves 5 steps:

D Divide

M Multiply

S Subtract

B Bring down

R Repeat or Remainder

Step-by-step explanation: i hope it helped


In algebraic expression

Three-fourths the square of a number.

Answers

Answer:

3/4x^2

Step-by-step explanation:

Answer:

[tex] \frac{3}{4} \sqrt{x} [/tex]

where 'X' is the number

Step-by-step explanation:

hope this helps

1.) You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 1.4 feet long, if the remaining piece needs to be 1.17 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth.

2.) You are looking at your power bill for the month, you pay 13 cents per kilowatt-hour. Your power bill came out to $83.96 homes many KWH of energy were used in your house this month?

3.) you were looking at your power bill for the month, you pay nine cents per kilowatt hour. Running a 60 W lightbulb for one hour is .0 6 KWH, if you leave a light on all the time that has 5 lightbulbs in it how much would that cost in a 30 day month? answer in the form of $2.54 without the dollar sign

Answers

Here we have 3 general algebraic problems that we need to solve. Using simple reasoning we can solve these.

1) L = 4.4 ft

2) This month you used 645.85 KW-h in your home.

3)Cost =  $19.44

1) You will buy a board of length L.

You will cut two pieces that are 1.4 ft long.

So at this point, the length of the board piece is:

L - 1.4ft - 1.4ft = L - 2.8ft.

Now, you want this to be 1.17 times longer than 1.4ft, then we need to solve:

L - 2.8ft. = 1.17*(1.4ft) = 1.638ft

L = 1.638ft + 2.8ft = 4.438ft

Rounding to the nearest tenth, we get:

L = 4.4 ft

This is the length of board you should buy.

2) Here we know:

You pay $0.13 per KW-h

This month, you pay a total of $83.96

The total number of  KW-h you used is equal to the quotient between the total amount you paid and the price of a single KW-h, this is:

N = $83.96/$0.13  = 645.85

This month you used 645.85 KW-h in your home.

3) Here we know:

You pay $0.09 per KW-h.

Running the bulb for one hour consumes 0.06 KW-h

So, if you leave one of these lights on all day (24 hours) it would consume:

24*0.06 KW-h = 1.44 KW-h

If you instead leave 5 of these bulbs, you will consume 5 times that amount:

5*1.44 KW-h = 7.2 KW-h

This is in one single day, if you do this for 30 days, the total consumption is:

30* 7.2 KW-h = 216 KW-h

And you pay $0.09 for each one of these, then the cost is 216 times $0.09

Cost = 216*$0.09 = $19.44

If you want to learn more about algebra, you can read:

https://brainly.com/question/24382046

Answer:

This will help for more:

brainly.com/question/24382046

Step-by-step explanation:

k12

Please help explanation if possible

Answers

Step-by-step explanation:

Hi there!

The given equation is:

y = -2x + 5………………(i)

Comparing the equation with y = mx+c, we get;

m1 = -2

Also another equation of the line which passes through point (-4,2), we get;

(y-2) = m2(X+4)............(ii) { using the formula (y-y1) = m2(x-x2)}

According to the question, they are perpendicular to eachother, So according to the condition of perpendicular lines;

m1*m2 = -1

-2*m2 = -1

or, m2 = 1/2.

Therefore, m2= 1/2.

Now, keeping the value of m2 in equation (ii).

(y-2) = 1/2(x+4)

y = (1/2)x + 4

Therefore, the required equation is: y = (1/2)x + 4.

Hope it helps!

Inverse proportion

it takes 3 hrs for two people to clean six identical rooms.

how long would it take 5 people to clean 20 of the same rooms at the same k rate

i know answer need explan.

Answers

Answer:

Hello,

4 hours

Step-by-step explanation:

Let say w the work clean one room.

h the number of hours worked

p the number of people who works

k is a constant

6w=k*h*p

3 h, 2 p==> 6w

6w=k*3*2 ==> k=w

5 p, 20 w ==>

20w=k*h*p

20w=w*h*5

20=h*5

h=20/5

h=4

It will take 4 hours.

Sailor Sheftat
Angle Terminology with Equations
Aug 03, 8:01:46 AM
?
ZA and B are complementary angles. If mZA= (6x – 4)º and m
ZB = (x + 17), then find the measure of ZA.
BE
Answer:
Submit Answer
attempt 1 out of 2
Pls help

Answers

Answer:

Does the answer help you?

i need help with this stuff and i need the answers step by step thank you!!

Answers

Answer:

2. A

3. C

4. B

Step-by-step explanation:

2. To answer # 2, just add all the sides together...

(5x-7) + (3x-4) + (2x-6)

=  10x - 17

3. To answer # 3, divide/mulitply both the numerators and denominators by the same number and check to see if that answer matches the displayed answer...

a) 28 divided by 7 is 4,  so divide the whole fraction by 7 to see if the fraction is proportional...  

  28/7 = 4

  49/7 = 7

   [tex]\frac{4}{7} =\frac{4}{7}[/tex]

b) 4 goes into 16  4 times so multiply [tex]\frac{4}{7}[/tex] by 4...

   4 x 4 = 16

   7 x 4 = 28

   [tex]\frac{16}{28}[/tex] =  [tex]\frac{16}{28}[/tex]

c) 4 goes into 16 4 times so multiply the whole fraction by 4...

   4 x 4 = 16

   7 x 4 = 28

   [tex]\frac{16}{28}[/tex] ≠ [tex]\frac{16}{35}[/tex]

d) 4 goes into 20 5 times to multiply the whole fraction by 5...

   4 x 5 = 20

   7 x 5 = 35

   [tex]\frac{20}{35} = \frac{20}{35}[/tex]

C is the answer because the fractions are not proportional.

4) 25% is a quarter of 100%. A third of 100% is 75%.

   $120 - 0.25($120) = $90

   Another expression for the for sale price is...

   B) 0.75($120) = $90

The answer to this problem

Answers

Answer:

x = 12°

y = 1.4 cm

Step-by-step explanation:

1. Because the two triangles are similar, their corresponding angles are congruent.

so

3x + 14 = 50

Subtract 14 from both sides

3x = 36

Divide both sides by 3

x = 12

x = 12° (remember units)

Check work:

3(12) + 14 = 50

36 + 14 = 50

50 = 50

2. Because the two triangles are similar, their corresponding sides are in equal proportion.

Two sides of triangle ABE are

5.6 and 4

And two corresponding sides of triangle ACD are

5.6 + y and 5

So

5.6 / 4 = (5.6 + y) / 5

Cross multiply

5.6 * 5 = 4(5.6 + y)

Multiply 5.6 * 5 on the left

28 = 4(5.6 + y)

Distribute the 4 to each term

28 = 4*5.6 + 4*y

Simplify the right side

28 = 22.4 + 4y

Subtract 22.4 from both sides

5.6 = 4y

Divide by 4 on both sides

1.4 = y

y = 1.4 cm (remember units)

Check our work:

5.6/4 = (5.6 + 1.4)/5

1.4 = 7/5

1.4 = 1.4

Geometry, please answer question ASAP

Answers

Answer:

D

Step-by-step explanation:

Cos(D) = adjacent / hypotenuse

The adjacent side is the one making up angle  D

adjacent side = f

hypotenuse = e

Cos(D) = f/e

D = cos-1(f/e)

Shelly charges $10 per hour for her babysitting servives. Last month Shelly babysat for 15 hours. This month she babysat for n hours.

a. Write an expression using parentheses to describe how much money she made.

b. Given that n=12, evaluate your expression using the distributive property.​

Answers

Answer:

A.  10(15) + 10n = $ made for babysitting

B. $270

Step-by-step explanation:

B. 10(15) + 10(12)

150 + 120 = $270

if g(x) is x-3 then what is g(3x)

Answers

Answer:  3x-3

Work Shown:

g(x) = x-3

g(3x) = 3x-3

We simply replaced every x with 3x. There isn't much else to show in terms of work. I suppose you could factor out the GCF to say g(3x) = 3(x-1), but that isn't much of a simplification in my opinion.

Answer:

Step-by-step explanation:

The meaning of g(x) = x - 3 is that whatever you put in the x on the left, you will put in the x on the right.

g(3x) = 3x - 3 is the correct answer.

5. Solve the differential equation y" - 5y "+7y'-3y=0.​

Answers

The differential equation

y''' - 5y'' + 7y' - 3y = 0

has characteristic equation

r ³ - 5r ² + 7r - 3 = (r - 3) (r - 1)² = 0

with roots at r = 3 and r = 1 (with multiplicity 2), so that the characteristic solution to the DE is

y = C₁ exp(3x) + C₂ exp(x) + C₃ x exp(x)

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