express 0.6 + 0.47 in the form p/q where p and q are integers q are not equal to 0​

Answers

Answer 1

Answer:

[tex]0.6 + \bar 0.47 = \frac{532}{495}[/tex]

Step-by-step explanation:

Given

[tex]0.6 + \bar 0.47[/tex]

Required

Express as x/y

Let

[tex]x = \bar 0.47[/tex]

This implies that:

[tex]x = 0.4747[/tex] --- (1)

Multiply by 100

[tex]100x = 47.4747[/tex] --- (2)

Subtract 1 from 2

[tex]100x - x = 99x[/tex]

This gives

[tex]47.4747 - 0.4747 = 47[/tex]

So:

[tex]99x = 47[/tex]

Solve for x

[tex]x = \frac{47}{99}[/tex]

This implies that:

[tex]\bar 0.47 = \frac{47}{99}[/tex]

[tex]0.6 + \bar 0.47[/tex] becomes

[tex]0.6 + \bar 0.47 = 0.6 + \frac{47}{99}[/tex]

Express 0.6 as fraction

[tex]0.6 + \bar 0.47 = \frac{6}{10} + \frac{47}{99}[/tex]

Take LCM and solve

[tex]0.6 + \bar 0.47 = \frac{99*6+10*47}{990}[/tex]

[tex]0.6 + \bar 0.47 = \frac{1064}{990}[/tex]

Simplify

[tex]0.6 + \bar 0.47 = \frac{532}{495}[/tex]


Related Questions

Solve the simultaneous equations
4x3y=32
4x-y=16

Answers

Step-by-step explanation:

Solve equation [2] for the variable y

[2] y = -4x + 16

// Plug this in for variable y in equation [1]

[1] 4x + 3•(-4x+16) = 32

[1] -8x = -16

// Solve equation [1] for the variable x

[1] 8x = 16

[1] x = 2

// By now we know this much :

x = 2

y = -4x+16

// Use the x value to solve for y

y = -4(2)+16 = 8

Solution :

{x,y} = {2,8}

The base of a rectangular prism has an area of 6 cm². The height of the
rectangular prism is 5 cm. What is the volume of the prism?

Answers

Answer:

30 cm ^3

Step-by-step explanation:

Volume = Length x Width x Height

L and W =6cm^2

H=5cm

Hope this helps!

NO LINKS. Find the measure of the angle or arc indicated. Part 2

Answers

9514 1404 393

Answer:

  14.  C) 136°

  15.  C) 40°

Step-by-step explanation:

Inscribed angles are half the measure of the arc they intercept. For an inscribed quadrilateral, this means opposite angles are supplementary.

__

14) ∠H +∠W = 180°

  34x +55x +2 = 180

  89x = 178 . . . . . . . . . subtract 2

  x = 2 . . . . . . . . . . . . . divide by 89

  arc VX = 2(34x) = 68(2) = 136 . . . degrees

__

15) The sum of angles in the triangle is 180°.

  ? + 80° + (120°/2) = 180°

  ? = 40° . . . . . . . . . . subtract 140°

Answer:

Solution given:

14.

34x+55x+2=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]

89x=180°-2

x=178/89

x=2°

now

m arc VX=2× <H[ central angle is twice the inscribed angle standing on a same base]

m arc VX=2(34×2)=136°

Option C.

15.

Solution given:

<B=80°

<C=½ arc AB[central angle is twice the inscribed angle standing on a same base]

<C=½×120°=60°

we have

<A+<B+<C=180°[ sum of interior angle of a triangle is 180 ]

<A=180-80°-60°

<A=40°

option C.

Imagine we paint a 4x4x4 cube blue on every side.how many of the small cubes have 3 blue faces? How many have 2 blue faces? How many have 1 blue face? How many have not been painted at all? And how many faces would be painted in a cube of any size.think visually
PLEASE ANSWER ASAP. WILL MARK BRAINLIEST!

Answers

1. 8 small cubes
2. 8 small cubes
3. 20 small cubes
4. 8 small cubes
I believe that is the correct answer sorry if I’m wrong

What is the sum of the whole number and the improper fraction?
4+7/4 A. 4 3/4 B. 5 3/7 C. 5 3/4 D. 4 3/7

Answers

Answer:

C. 5 3/4

Step-by-step explanation:

You have to write all numerators above the common denominator

4+7/4=16+7/4

Add the numbers together

16+7/4=23/4

Simplify the fraction

23/4=5 3/4

You are giving a bag of jelly beans. There are 7 red, 8 blue, 4 elbow, and 10 pink. Find the probability of eating 3 red jelly beans in a row

Answers

Okay so the probability of drawing a blue bean is

8 / 29 = .276

29 is the total number of jelly beans

When we have replacement, we do not reduce the number of total jelly beans, so the probably of drawing blue stays the same.

But to find the probability of drawing a blue two times in a row, we must square the probability .

(.276) • (.276) = 0.076

Your answer is 7.6% !

Tessellations

How do you distinguish between problems requiring area formulas and problems requiring perimeter formulas?

a. area - space inside a figure perimeter - distance around figure
b. area - distance around figure perimeter - space inside a figure
c. area - twice the width plus twice the length perimeter - length times width
d. area - the sum of all sides perimeter - 2 times the diagonal of the figure

Please select the best answer from the best choices provided

Answers

Answer:

A. Area - space inside a figure perimeter - distance around figure

Step-by-step explanation:

I calculated it logically

DOES ANYONE KNOW THE ANSWERS TO THESE PROBLEM, PLZ HELP!

Answers

Answer:

Q.1.

Sum of angles of a triangle = 180°

∠A + ∠B + ∠c = 180

(3x - 9) + (4x + 15) + 90 = 180

3x - 9 + 4x + 15 + 90 = 180

7x + 96 = 180

7x = 84

x = 12

∠A = 3x - 9 = 3(12) - 9 = 36 - 9 = 27°

∠B = 4x + 15 = 4(12) + 15 = 48 + 15 = 63°

∠A = 27°

∠B = 63°

Q.2.

[tex]using \ pythagoras \ theorem \\x^2 = 7^2 + (7\sqrt{3} )^{2} = 49 + 49(3) = 196\\x = \sqrt{196} = 14[/tex]

[tex]sin y = \frac{opposite}{hypotenuse} = \frac{7\sqrt{3} }{14} = \frac{\sqrt{3} }{2} \\\\y = sin^{-1} (\frac{\sqrt{3} }{2} ) = 60[/tex]

x = 14

y = 60°

Olivia's team played 8 games of basketball. During those 8 games her team's score was: 70, 67, 79, 66, 64, 80, 64 and 75. Find the mode and range

Round to the nearest TENTH.

Question 3 options:

Answers

Answer:

64 is the mode and

it goes from 64, 64, 66,67, 70, 75, 79, and 80, so the range is 80- 64 which is 16

Step-by-step explanation:

y=-1/4(x-10)^2+28 write in standard form

Answers

Answer:

[tex]y = -\frac{1}{4}x^{2} + 5x + 3[/tex]

Click on three points that are solutions to y = 2x + 1.
A. (0,0)
B. (0, 1)
C. (1,0)
D. (1,3)
E. (2,5)
F. (4,8)

Answers

Answer:

B, D, E

Step-by-step explanation:

What is the volume of the rectangular prism? . choices: (63yd^3) (7yd^3) (22.5yd^3) (189yd^3)​

Answers

Answer: (7yd^3)

Step-by-step explanation:

Width= [tex]3*\frac{1}{3}[/tex]

Length= [tex]7*\frac{1}{3}[/tex]

Height= [tex]9*\frac{1}{3}[/tex]

Width= 1

Length= 2.33333333333...

Height= 3

1*2.33333333333*3= 6.99999999999

6.99999999999 is round up to 7

So that would be (7yd^3)

Answer:

Step-by-step explanation:

I just did the test. Answer is 7yd

A bag contains 4 yellow balls, 5 red balls, and 6 blue balls.
Part A: What is the probability of picking a yellow ball from the bag?
Part B: what is the probability of picking a blue ball from the bag?
Part C What is the probability of picking a yellow ball and then a blue ball after
replacement? Determine if the two events are independent events.

Answers

Answer:

A) The probability of picking a yellow ball from the bag is 26.66%.  

B) The probability of picking a blue ball from the bag is 40%.  

C) The probability of picking a yellow ball and then a blue ball is 11.42%.

Step-by-step explanation:

Since a bag contains 4 yellow balls, 5 red balls, and 6 blue balls, to determine what is the probability of picking a yellow ball from the bag, what is the probability of picking a blue ball from the bag and what is the probability of picking a yellow ball and then a blue ball after replacement, the following calculations must be performed:

A)

4 + 5 + 6 = 100

4 = X

15 = 100

4 = X

4 x 100/15 = X

400/15 = X

26.66 = X

Therefore, the probability of picking a yellow ball from the bag is 26.66%.

B)

15 = 100

6 = X

6 x 100/15 = X

600/15 = X

40 = X

Therefore, the probability of picking a blue ball from the bag is 40%.

C)

14 = 100

6 = X

6 x 100/14 = X

600/14 = X

42.85 = X

0.2666 x 0.4285 = X

0.1142 = X

Therefore, the probability of picking a yellow ball and then a blue ball is 11.42%.

Only answer if you’re sure... will give Brainly thank you :)

Answers

Answer:

Step-by-step explanation:

f(x) = x^2 + 3x - x/2

f(x) = x^2 + 2.5x    

   

3x - 1/2x = 6x/2 - 1/2x = 5x/2 = 2.5x

f(6) = 6^2 + 2.5*6

f(6) = 36 + 15

f(6) = 51

Kari worked twice as many hours as Chris. She also worked ten less than three times as many hours as Mark. Chris and Mark worked the same number of hours.

Answers

Answer:

Kari = 20 hours

Chris = 10

Mark = 10

Explanation:

K is Kari's hours

C is Chris's hours

Karis = 2 x C = K

Chris = C

Mark = C

3C - 10 = K

Assume C is 10 (since 10 is 1/3 of the hours mentioned)

2 x 10 = 20 so K worked 20 hours

20 is twice as much as 10 (C's hours)

and it's 30 - 10 (10 less than 3 times as many hours as Mark)

What is the sum of the first ten terms in a geometric series
with a1=
6 and r = 2?

Answers

Answer:

[tex]S_{10} = 682[/tex]

Step-by-step explanation:

Given

[tex]a_1 = 6; r = 2[/tex]

Required

[tex]S_{10[/tex]

This is calculated as:

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

So, we have:

[tex]S_{10} = \frac{6 * (2^{10} - 1)}{10 - 1}[/tex]

[tex]S_{10} = \frac{6 * (1024- 1)}{9}[/tex]

[tex]S_{10} = \frac{6 * 1023}{9}[/tex]

[tex]S_{10} = 682[/tex]

The school that Emily goes to is selling tickets to the annual dance competition.

On the first day of ticket sales the school sold 3 senior citizen tickets and 14 child tickets for a total of $145.

The school took in $178 on the second day by selling 6 senior citizen tickets and 14 child tickets.

Find the price of a senior citizen ticket and the price of a child ticket.

Answers

Answer:

price for senior citizen is $11

price for child ticket is $8

(no links please and than you! :))

Answers

Answer:

Line D represents a proportional relationship.

Step-by-step explanation:

In an easy way to explain what a proportional relationship is, it is basically a line graph that passes through the origin point. When a line graph passes through the origin point (0,0), it is proportional.

Other graphs do not intersect the origin points so they are not proportional.

Answer:

Line D represents a proportional relationship.

Step-by-step explanation:

In an easy way to explain what a proportional relationship is, it is basically a line graph that passes through the origin point. When a line graph passes through the origin point (0,0), it is proportional.

Other graphs do not intersect the origin points so they are not proportional.

Simplify the expression. - 17b + a +235 + 240​

Answers

Answer:

a-17b+475

Step-by-step explanation:

Let's simplify step-by-step.

−17b+a+235+240

Combine Like Terms:

=−17b+a+235+240

=(a)+(−17b)+(235+240)

=a+−17b+475

Answer:

=a−17b+475

-17b+a+235+240 is −17+475

Factor 3x2 + 42x + 147 completely.

A) 3(x + 1)(x + 49)
B) (3x + 21)(x + 7)
C) 3(x + 7)2
D) (3x + 7)2

Answers

The correct answer is C

Match the items in a credit card statement to their descriptions.

the maximum credit available on a credit card

determines the finance charge
payable on credit purchases

the amounts debited to the credit card account

the period for which transactions are
recorded in a credit card statement

1.billing cycle
2.annual percentage rate
3.credit line
4.new purchases

Answers

the maximum credit available on a credit card
1. credit line
determines the finance charge payable on credit purchases
4. new purchases
the amounts devoted to the credit card account
2. annual percentage rate
the period for which transactions are recorded in a credit card statement
1. billing cycle

Answer:

Billing cycle: The period for which transactions are

recorded in a credit card statement

Annual Percentage Rate: Determines the finance charge

payable on credit purchases

Credit Line: The maximum credit available on a credit card

New Purchases: The amounts debited to the credit card account

Step-by-step explanation:

Took the test on Edmentum and got 5/5

Plz Help!! I’m stuck on this.

Answers

Answer:

1. (5,7)

2. (8,0)

3. (2,1)

4. (4,22)

5. (-3,78)

6. (2,10)

7. (3,9)

8. (-2,1)

Step-by-step explanation:

Ms. Silvia earns $3 every time she sells a cupcake. If she earns $15, how many cupcakes did she sell?

Answers

Answer:

Okay very easy, The answer is: She sold 5 cupcakes.

Step-by-step explanation:

She sold 5 cupcakes

Because if you add 3 till you get to 15 you get 5

if you triple the number of times elizabeth has cooked dinner for her family and then add for you get the number of times her sister joy has coached the family's thinner of joy has cut the family's dinner 25 times how many times did has elizabeth cook dinner?​

Answers

Answer:

Step-by-step explanation:

She has cooked 75 times

a polygon is shown what is the measure of U

Answers

Answer:

120

Step-by-step explanation:

That's a guess, but it's the most logical one.

WHATS THE ANSWER?? answer ASAP NO FILE AT ALL

Answers

Answer:

B

Step-by-step explanation:

Answer:

The answer would be B!

what's the answer to the picture below

Answers

9514 1404 393

Answer:

  B.  √900

Step-by-step explanation:

The solutions to the equation are ...

  x = ±√900 = ±3√100 = ±10√9 = ±30

Of the offered choices, the only one that matches any of these is ...

  √900

Find an equation for the inverse for each of the following relations.
4. y = x - 5

Answers

Answer:

y = x + 5

Step-by-step explanation:

We need to find the inverse of the given relation . Firstly replace x with y and then solve for y to get the inverse . We have ,

=> y = x - 5

Replacing x and y

=> x = y - 5

=> y = x + 5

Hence the Inverse of the relation is y = x + 5 .

Convert 15L 25ml into litres ​

Answers

Answer:

15.025 L

Step-by-step explanation:

25 mL = 25 ml * 1 L/1000 mL = 0.025 L

15 L + 0.025 L = 15.025 L

Which pair of expressions is equivalent using the Associative Property of Multiplication?
A. 4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
B. 4(2a ⋅ 5) = 8a ⋅ 20
C. 4(2a ⋅ 5) = (2a ⋅ 5) ⋅ 4
D. 4(2a ⋅ 5) = 4 ⋅ 2a ⋅ 5

Answers

Answer:

4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5

Step-by-step explanation:

Let A, B and C be the required expression, according to Associative property;

(A+B)+C = A+(B+C)

This shows that no matter the sum of values in parenthesis, it does not alter the values at both sides.

From the given expression, the expression that is equivalent using the Associative Property of Multiplication is  4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5

Note that the product of the values in bracket do not affect the final values

4(2a ⋅ 5) = 4(10a) = 40a

(4 ⋅ 2a) ⋅ 5 = 8a ⋅ 5 = 40a

You can see that both expressions gives the same values

Other Questions
A Maria Le gusta mucho estate sucks,pero Ella no es muy valiente. Ella debe ir aA. La TomatinaB. El BoloencierroC. Los San Fermines WILL GIVE BRAINLIST Please help The force that contributed to the formation of planets, determines the motion of bodies in the solar system, and pulls objects to the center of Earth is called .The principle that states that an object at rest will stay at rest and that an object in motion will stay in motion is the law of Trage die worter richtig ein Handtuch Last exam question for the day And im finally off!No LINKS I need help with this!!!!! Imagine a friend is worried because they do not have any masks at home. Write a note to your friend explaining when they might want a face covering and when they do not need one, Use details from the article to support your explanation . have you ever looked more to look further to even think to do more? Is the product 3/5 times 8 greater than or less than 8? Explain. The probability of getting a A in mr Atkesons class is 25% what is the probability of not getting a A Please help me! What is x and y? Thank you! Please help:) not that good w/ government In one or two paragraphs, describe your ideal form of government. In your response, be sure to explain who has power, how much power they have, where the power is located, and how power is distributed among branches of government. Then provide at least two reasons why you think this form of government would work well. PLSSS I CAN NOT GET THIS WRONG PLS HELPP IF YOU KNOW 20 POINTSSSS Kathy is from the Watutu Tribe, but she and Watsu Bangu met at the Sudan university of Technology.Which word is incorrectly capitalized?WatutuofuniversitySudan An electrician needs 3/4 roll of electrical wire to wire each room in a house . How many rooms can he wire with 6 rolls Forsyth County charges a 7% sales tax. If you bought a new printer form $3250.00, what is the total cost for the printer? What is the largest city in Africa south of the 33rd Parallel or 33" South? I need help with this question please Arrange the vehicles in descending order according to the altitudes at which they operate.VehicleAltitude (feet)sailboat0submarine-1,500glider5,000airship3,000A. sailboat, submarine, glider, airshipB. submarine, sailboat, airship, gliderC. airship, glider, submarine, sailboatD. glider, airship, sailboat, submarine Do you understand choose the correct information in each case and write the sentence Which of the following represents the multiplicative inverse of -90? A. - (- 90) B. [tex]-1/90[/tex] C. 90 D. -90 Which input value produces the same output value for the two functions on the graph?543+ Nf(x) == {x+1g(x) = 3x-4-5 4 -3 -2 -142g(x)-3--5