HELP!
Write two mixed numbers so that all rules are applied:
1. One number is larger than the other by 4 2/3
2. The difference of the numbers is equal to the smaller number.
3. The sum of the numbers is natural number

Answers

Answer 1

Answer:

Step-by-step explanation:

“One number is larger than the other by 4 2/3”

x = y + 4⅔

“The difference of the numbers is equal to the smaller number.”

x-y = y

x = 2y

y + 4⅔ = 2y

y = 4⅔

x = 2y = 9⅓

“The sum of the numbers is natural number”

x+y ∈ ℕ

9⅓ + 4⅔ = 14 ∈ ℕ

Answer 2

Answer:

9 1/3 and 4 2/3

Step-by-step explanation:

:)


Related Questions

What is true about (0, 5)

Answers

Answer:

0/5 equals zero as anything divided by zero gives zero. However 5/0 is an undetermined form which gives infinity.

Step-by-step explanation:

Write a polynomial in standard form with the zeros –4, 0, 1, and 4.

Answers

Answer:

uhhm

Step-by-step explanation:

....

The required polynomial in standard form with zeros –4, 0, 1, and 4 is x⁴- x³ - 16x²+16x

Polynomial functions are functions that have a leading variable of 3 and above.

Given the zeros of a polynomial as -4, 0, 1, and 4, their corresponding factors will be:

(x+4)), x-0, x-1 and x - 4

To get the polynomial function required, we will take the product of the factors as shown:

= x(x-1)(x+4)(x-4)

= (x²-x)(x²-4²) (Note that (x+4)(x-4) is from different of two square)

f(x)= x⁴-16x²-x³+16x

Rearranging

f(x) = x⁴- x³ - 16x²+16x

Hence the function x⁴- x³ - 16x²+16x gives the required polynomial in standard form.

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Find the value of X.
A. 9
B. 18
C. 4
D. 14

Answers

Answer:

C is the answer

Step-by-step explanation:

10x=180-140

so,x=40÷10=4answer

find the remainder when x³-2x²+4x-3 is devided by x-2​

Answers

Answer:

x²+4

Step-by-step explanation:

-5 + 8 • -7
help lols

Answers

Answer:

Step-by-step explanation:

-5 + (8 x -7)

using PEMDAS, (8 x -7) = -56

so -5 + -56 = -61


{ x is an odd whole number less than 9}

Answers

This may be more complicated than it looks but here are the odd numbers before nine:

1, 3, 5, 7    

Hope this helps!

I need help solving 4th grade math

Answers

Answer:

Whats the math?

Step-by-step explanation:

sir/miss please add something to answer or this can be reported so remake this add something then we will answer


The area of the four walls of a room is 156 m2. The breadth and height of the room are 8 m and 6 m
respectively. Find the length of the room.​

Answers

Given: Lateral Surface area=156m
Breadth=8m height=6m
⇒ L.S.A=2(bh+lh)=2(l+b)h
⇒156=2(l+8)h
⇒156=2(l+8)×6
⇒l+8=
12
156

=13
∴l=13−8=5m
Hence, length of the room=5m

m=n give reason
2)x=y. give reason
3) y+n = x+m give reason​

Answers

Answer:

[tex]m = n[/tex] --> Corresponding angle

[tex]x = y[/tex] --> Vertically opposite

Step-by-step explanation:

Given

The attachment

Required

State the reason for the given statements

m = n

m and n are corresponding angles.

So:

[tex]m = n[/tex]

x = y

x and y are vertically opposite angles

So:

[tex]x = y[/tex]

[tex]y + n = x + m[/tex]

In (b)

[tex]x = y[/tex]

Add m to both sides

[tex]x + m = y +m[/tex]

In (a) [tex]m = n[/tex]

So, substitute n for m on the left hand side

[tex]x + n = y + m[/tex]

condition (0°≤A≤360°)
sin5A+sin3A=cos2A-cos6A​

Answers

Answer:

sin5A+sin3A=cos2A-cos6A

2SIN((5A+3A)/2)COS ((5A-3A)/2)=2SIN((2A+6A)/2)SIN((2A-6A)/2)

[tex] \frac{2 \sin(4a )cosa}{ - 2 \sin(4a) \sin(2a) } = 1[/tex]

[tex] - \frac{ \cos(a) }{2 \sin(a) \cos(a ) } = 1[/tex]

-1/2sinA=1

-1/2=sinA

sinA=sin(180+30),sin(330)

:.A=210,330

A pastry bag full of frosting forms a cone with the dimensions shown. Find the volume of frosting in the pastry bag.

Answers

Answer:

kajhfsdbbcbb,bnmcxbvljhhjw eutiugvawgygewfcufbuicmauigpuygpvghsfBgeilvlhkdb;bwgvPWIHITVNUAHUEIGEOYUGE8GPUWIEHOIgorucrugc t rueagurwWUGHCRWGCugpgpuyGPGCPGUGGUyguUYFUYGUOYUOYGOUYGOFUGIcefgyxsnjdfryugvouscbaknqpiuvhrwklemfnvvvvvvvr4uhui4jqkwserupwehdnjqhbgiwebduudirbgdqfwaiqjnweisdkrfmtguiwdnnnnnnnnnnnnnnerijjjjjjj

Step-by-step explanation:

In a relation, the input values can also be referred to as the __________?

Answers

Answer: The answer for the blank is domain.

Step-by-step explanation: Domain is the input of a function, and range is the output.

The diagram shows as scale drawing of a playground
The scale of the drawing is 1:500

Answers

Give me more information please..

Answer:

45

Step-by-step explanation:

3+1.5+3+1.5=9

9*500=4500

4500/100=45

help Jake is a bully. He likes to pick on little kids, but they don’t have a way to defend themselves. They complain to teachers about Jake and tells on him.

Answers

Answer:

cool

Step-by-step explanation:

Answer:

tells i think

Step-by-step explanation:

it would be tattling not telling..righttttt?????

For what value of x do the expressions 2x +3 and 3x -6 have the same value?

Answers

Answer:

9

Step-by-step explanation:

2x+3=3x-6

3+6=3x-2x

9=x

Answer:

x=  9

Step-by-step explanation:

hello :

2x +3 = 3x -6

2x-3x=-6-3

-x= -9

so : x=  9

the sum of a number and its inverse equals 3 29/52, write the mathematical expression​

Answers

Answer:

Step-by-step explanation:

The sum of a number and its inverse is 3 29/52. Find the number?

x+1/x=329/52

x+1/x-329/52=0

solve the fraction

(

using the quadratic formular

 

Answer:

Step-by-step explanation:

the yellow is the glow in the dark kind

A spinner contains the numbers 1 through 50. What is the probability that the spinner will land on a number that is not a multiple of 7?

Give your answer in fraction form.

Answers

Answer:

the answer to the question is

Step-by-step explanation:

43/50

Answer: the answer is 43/50

A race-car is driving counter-clockwise on a circular track with a radius of 1.9 miles. The car starts at the 3 o'clock position and travels at a constant speed of 85.5 miles per hour.

What distance (in miles) has the race-car traveled if the car has swept out an angle of 212 degrees?
 _____miles   

What is the measure of the angle swept out by the car (in radians) if the car has traveled 4.9 miles?
 _____radians   

Define a function, h, that gives the race-car's distance above the horizontal diameter of the track (in miles) in terms of the number of hours since the race-car started driving, t.

Answers

Answer:

The answer is below

Step-by-step explanation:

The car is moving in a circular track with a radius of 1.9 miles. The distance covered by the car if the track is revolved once = 2π * radius of the track.

a) Since the car has swept out an angle of 212 degrees, the distance covered by the race car = [tex]\frac{212}{360}*2\pi(1.9)=7.03 \ miles[/tex]

b) If the car traveled 4.9 miles, the angle swept out (θ) is:

[tex]4.9= \frac{\theta}{360} * 2\pi r\\\\\theta=\frac{4.9}{2\pi (1.9)}*360 \\\\\theta=147.76^o=147.76^o*\frac{\pi}{180} \\\\\theta=2.58\ rad[/tex]

c) h = distance covered, t = time in hourss.

Hence:

h = 85.5t

The race-car's motion round the track is a repeating motion that can be

described by a sinusoidal function.

The correct responses are;

Distance travelled when the car swept an angle of 212° ≈ 7.03 miles

If the car has travelled 4.9 miles, the angle swept out, θ ≈ 2.58 radians

The function is;  [tex]\underline{h(t) = 1.9\cdot sin(45\cdot t)}[/tex].

Reasons:

Known parameters are;

Radius of the track, r = 1.9 miles

Point the car starts = 3 O'clock

Speed of the car = 85.5 mph

Required:

Distance swept out when the car traveled an angle of 212°.

Solution;

Distance of one complete turn = 2·π·r

Angle of one complete turn = 360°

Therefore, at 212°, we have;

[tex]\dfrac{212^{\circ}}{360^{\circ}} \times 2 \times 1.9 \times \pi \approx 7.03[/tex]

Distance travelled when the car swept an angle of 212° ≈ 7.03 miles

Required:

The measure of the angle swept out by the car if the car has travelled 4.9 miles.

Solution;

Let, θ represent the angle, we have;

[tex]\dfrac{\theta}{2 \cdot \pi} \times 2 \times 1.9 \times \pi \approx 4.9 \ miles[/tex]

We get;

[tex]{\theta} = \dfrac{4.9 \ miles}{2 \times 1.9 \ miles \times \pi } \times 2\cdot \pi \approx 2.58 \ radians[/tex]

If the car has travelled 4.9 miles, the angle swept out, θ ≈ 2.58 radians

Required:

The function, h, that gives the distance of the above the horizontal

diameter of the track (in miles) in terms of the number of hours since the

race-car started driving, t.

Solution;

The function that gives the car height can be presented as follows;

The angular velocity, ω = [tex]\dfrac{v}{r}[/tex]

Therefore;

[tex]\omega = \dfrac{85.5 \ mph}{1.9 \ miles} = 45 \ rad/hour[/tex]

The general form of the sinusoidal function is h = A·sin[k·(θ - b)] + c

Therefore, we get;

h = 1.9·sin[k·(θ - b)] + c

The period, T = 2·π/ω = 2·π/k

Therefore, given that ω·t = θ, we get;

h = 1.9·sin[ω·t - b] + c = 1.9·sin[45·t - b] + c

The vertical sift, c, and the horizontal shift, b, can both be taken as zero,

given that the sin(0) = 0, therefore;

h = 1.9·sin[0] + c = c = 0, such that the at the start, t = 0, the car is at a

distance of h = 0 above the horizontal line.

The function, h, that gives the distance of the car above the

horizontal track, in terms of the number of hours since the car started

driving, t, is therefore;

[tex]\underline{h(t) = 1.9\cdot sin(45\cdot t)}[/tex].

Learn more here:

https://brainly.com/question/16014064

. Lightning Lucy’s burnable CDs are on sale this
month for 10% off regular prices. If a pack of 10
blank CDs normally costs $15, how much do you
save per CD?
Original unit cost of CDs = $_________ per CD
10% of original cost = $_________
Original cost minus the 10% discount = $_______
Discounted unit cost of CDs = $_______ per CD
Subtract the two unit costs to find
how much saved per CD = $_________​

Answers

Answer:

Original Cost = $1.50 per CD

Discount = $1.50

Discounted Cost = $13.50

Discounted Cost = $1.35 per CD

You Saved = $0.15 per CD

Step-by-step explanation:

$15/10CDs = $1.50

$15x10% = $1.50

$15-$1.50 = $13.50

$13.50/10CDs = $1.35

$1.50-$1.35 = $0.15

A. Add the following integers.
11.7 + 9 =
12. - 9+ (- 10 ) =
13. (- 14 ) + 5 =
14.9+(-14) =
15.-5+ (-8)=​

Answers

Answer:

11. 16

12. -19

13. -9

14. -5

15. -13

Step-by-step explanation:

help me pls i need help

Answers

Answer:

B

Step-by-step explanation:

:-)

Answer:

B

Step-by-step explanation:

This problem is to compare the value of the two numbers. Obviously, 0.21>0.012

Tara earned $320 this month and saved $96. Write a ratio statement to describe how much Tara saved versus earned.

Answers

Answer:

3: 10

Step-by-step explanation:

saved: earned

96: 320

simplify by dividing both sides by the same thing just like a fraction:

96: 320

24: 80

6: 20

3: 10

Jayvion took out a simple interest loan to pay for some new furniture. If the loan was for 5 years at 12% and he paid $960 interest, how much money did he borrow?

Answers

Answer:

$544.73

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + r)^t[/tex]

A is final amountP is principle amountr is ratet is time

Step-by-step explanation:

Step 1: Define

A = 960

r = 0.12

t = 5

Step 2: Solve for P

Substitute in variables [Simple Interest Rate Formula]:                                [tex]\displaystyle 960 = P(1 + 0.12)^5[/tex][Interest] (Parenthesis) Add:                                                                            [tex]\displaystyle 960 = P(1.12)^5[/tex][Interest] Evaluate exponents:                                                                        [tex]\displaystyle 960 = P(1.76234)[/tex][Interest] [Division Property of Equality] Isolate P:                                        [tex]\displaystyle 544.73 = P[/tex][Interest] Rewrite:                                                                                            [tex]\displaystyle P = 544.73[/tex]

Please help me out here, I’ve been reposting the same questions and have not seen people not answer mine. :( just please i will give u brainiest

Answers

Answer:

There are infinite solutions because they are the same equation

2D + 1G = 12

and

4D + 2G = 24 (divide by 2) 2D + G = 12

2D + 1G = 12 is the same as 2D + 1G = 12

There are infinite amount of solutions and you can not determine prices of either. So 3 and 6.

Looking for the answer to this

Answers

Required Answer :-

Given system of linear equations are ,

x + y = 2 -3x + y = 2

And we need to find the Solution of the linear equation . So let's Firstly number the equations .

[tex]\large{\red{\frak{ Given}}}\begin{cases} \sf x + y = 2\qquad ..........(i) \\\\\sf -3x + y = 2 \qquad ..........(ii) \\\end{cases}[/tex]

→ Multiplying equⁿ (i) by 3 ,

=> 3 ( x + y ) = 2*3

=> 3x + 3y = 6

→ Adding the two equations ,

=> 3x + 3y -3y + y = 6 + 2

=> 4y = 8

=> y = 8/4

=> y = 2

→ Put y = 2 in (i) ,

=> x + y = 2

=> x + 2 = 2

=> x = 2- 2

=> x = 0

Hence the required solution is ( 0 , 2 ) .

en la librería habían 680 libros para el comienzo de clase pidieron a la editorial 125 más Cuántos libros hay ahora en total para vender​

Answers

Answer:

Que? No se.

Step-by-step explanation:

Answer:

805

Step-by-step explanation:

WIll GIVE BRAINLYEST TO WHOEVER ANSWERS BOTH QUESTIONS FIRST CORRECTLY

Answers

Answer:

1. 8.4 in 2. 33.6  

Step-by-step explanation:

The Patterson's are saving up to go on a family vacation in 2 years. They invest $2900 into an account with an annual interest rate of 1.14% compound daily. How much is earned on the investment after 2 years?

Answers

i’m not very sureee butttt i can tell you what

For the following integral, give a power or simple exponential function that if integrated on a similar infinite domain will have the same convergence or divergence behavior as the given integral, and use that to predict whether the integral converges or diverges. Note that for this problem we are not formally applying the comparison test; we are simply looking at the behavior of the integrals to build intuition.

∫(x+5)/x^3+7x+5 dx

Answers

Answer:

hello your question is incomplete attached below is the complete question

answer :

for  I1 =     [tex]\frac{1}{x^2} + \frac{4}{x^3}[/tex]    The integral converges

for  I2 =    [tex]\frac{2x + 6}{2(x^2 + 6x + 4 )}[/tex]  The integral diverges

for  I3 =  [tex]\frac{1}{x^2}[/tex]  The integral converges

for  I4 = 1  The integral diverges

Step-by-step explanation:

The similar integrands and the prediction ( conclusion )

for  I1 =     [tex]\frac{1}{x^2} + \frac{4}{x^3}[/tex]    The integral converges

for  I2 =    [tex]\frac{2x + 6}{2(x^2 + 6x + 4 )}[/tex]  The integral diverges

for  I3 =  [tex]\frac{1}{x^2}[/tex]  The integral converges

for  I4 = 1  The integral diverges

attached below is a detailed solution

(I SUCK AT MATHS)

If 15 metres of rope costs £22.50, how much would 12 metres cost?

Answers

18 pounds

Take 22.50. Divide by 15
You get 1.5

Then 12 * 1.5 = 18

Answer:

$18

Step-by-step explanation:

22.50×15=1.50

1.50×12=18

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