4. Complete the following explanation to show that the sum of two rational numbers a
rational number.
Let a,b,c and d be integers. Let x and y be rational numbers. Consider the following
expression:
* = and y =
The above expressions represent the
If x + y = y + x
represents the
then, we can use the
to show that x +y = 3+. Using the rule for addition of
fractions to write an equivalent expression for x + y = 4+we obtain
The product of two integers results in an integer, so bd, ad and cb are all integers. Also.
since the sum of two integers results in an integer, ad + cb is an integer. Therefore,
xty is

Answers

Answer 1
Y +x=45 using integrated experience x +x = y

Related Questions

11. Solve the equation to find the
value of the variable.
3y - 4 = - 20

Answers

Answer:-16/3

Step-by-step explanation:

Answer:

y=5.3 repeating

Step-by-step explanation:

add 4 to each side to cancel the 4 out. so it would be 3y=16 (-20 + 4 = -16) and then divide both sides by 3 to get y. 16 divided by 3 is 5.33333... so your answer would be y=-5.3 .

Convert 9.500 to a fraction

Answers

Answer:

Step-by-step explanation:

9.500 x 1000

1 x 1000

=  

9500/ 1000

next

9500/500

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

1000/500

=  

19/ 2

so 19/2 is the answer

Step-by-step explanation:

Permit me to re-write it as 9.5/1

so, multiply both the numerator and the denominator by 10 to clear the decimal

then we have,

95/10

divide both the numerator and the denominator by 5

we have,

19/2

converting to proper fraction the answer is,

50 POINTS, GEOMETRY + BRAINLIST

IN each figure P bisects the segment. Find the value of each variable
20.

PLEASE HELP!!!

Answers

Bisects means to separate in equal parts, meaning each part is equal. This means the equations on each side of the line are equal. Once you equate them, you combine like terms finding your answer.

1) 2x+ 3=x+7
-x -x
x+3 = 7
-3 -3
Answer: x=4 (do this for the others)
2) x=7/2
3) x=5/2

PLEASE HELP! 10 points!​

Answers

Step-by-step explanation:

It easy isn't it my friend

1. Write a suitable name for set below

Answers

Answer:

There is no set :(

Step-by-step explanation:

convert 5476 to base seven​

Answers

Assuming 5476 is given in base 10.

We have

5476 = 2×2401 + 674 = 2×7⁴ + 674

674 = 1×343 + 331 = 1×7³ + 331

331 = 6×49 + 37 = 6×7² + 37

37 = 5×7 + 2 = 5×7¹ + 2

2 = 2×1 = 2×7⁰

so that

5476₁₀ = 21652₇

Express 7. 66 repeating as a ratio of two integers.

Answers

Method A: 7.6666.... = 7 + 0.6666... = 7 + 2/3 = 21/3 + 2/3 = 23/3

Method B: 10(7.666...) - 1(7.666...) = 76.666... - 7.666... = 69.000...
(10 - 1)(7.666...) = 69
7.666... = 69/9 = 23/3

PLS HELP ME IF YOU CAN!!!
Geometry

Explain if you want (optional)​

Answers

Answer:

Step-by-step explanation:

Hi, this is 3 questions In one! 1. Solve and simplify. 2/7 divided by 4/5

2. Convert the fraction to a decimal: 38/333

3. Convert the fraction to a decimal 12/111

THIS IS 3 in 1

Answers

Step-by-step explanation:

1.5/14

2.0.114114114....

3.0.108108108

plssss mark me brainliest

1. Ans; The choose D. 5/14

[tex] \frac{2}{7} \div \frac{4}{5} \\ \\ \frac{2}{7} \times \frac{5}{4} = \frac{5}{14} [/tex]

2. Ans; The choose B.

(No D.)

[tex] \frac{38}{333} = 0.114[/tex]

3. Ans; The choose D.

[tex] \frac{12}{111} = \frac{4}{37} = 0.108[/tex]

I hope I helped you^_^

If you were going to be handling harmful chemicals in a lab, what safety equipment would you use to protect your eyes and face?

a. safety glasses

b. gloves


c. chemical splash goggles


d. apron

Answers

If you were going to be handling harmful chemicals in a lab, you would use gloves, chemical splash goggles, and apron safety equipment to protect your eyes and face. Which is the correct answer would be options (B), (C), and (D)

What safety equipment would you use to protect your eyes and face?

To protect your eyes and face when working with dangerous chemicals in a lab, put on this safety equipment.

A material is corrosive if it has the potential to harm a surface upon contact.

These compounds provide a risk to people since they can burn their eyes, skin, and internal organs through inhalation of gases.

By strictly adhering to the biosafety protocol that a laboratory demands the use of masks, goggles, gloves, and an apron or lab coat, these chemical burns can be prevented.

The terms of biosafety in a laboratory require that the person must not have the eyes and skin exposed.

Therefore, If you were going to be handling harmful chemicals in a lab, you would use gloves, chemical splash goggles, and apron safety equipment to protect your eyes and face.

Which is the correct answer would be options (B), (C), and (D)

Learn more about the safety equipment here :

https://brainly.com/question/17225935

#SPJ2

50 POINTS!!!!!!1


Solve 6 over x minus 6 equals the quantity of x over x minus 6, minus six halves. for x and determine if the solution is extraneous or not.


A.x = −6, extraneous

B.x = −6, non-extraneous

C.x = 6, non-extraneous

D,x = 6, extraneous

Answers

Answer:

x = 6, extraneous

Step-by-step explanation:

When you are substituting x = 6 back into the equation, it makes the denominator = 0, so this is an extraneous solution.

What is the slope of the line y = 3?

Answers

Answer:

0, it doesn't have a slope it is just a straight line

Step-by-step explanation:


Steve and his friends measured a snow pile; it was 7 feet tall. The next day, the
snow pile was only 6.5 feet tall. What was the percent of decrease in the snow
pile? Round your answer to the nearest tenth

Answers

The percentage decrease is 7.14%

First measurement = 7 feet

Second measurement = 6.5 feet

Difference in measurement = 7 feet - 6.5 feet = 0.5 feet

Percentage decrease = Difference in measurement/ First measurement × 100

= (0.5/7.0) × 100

= 7.14%

The percentage decrease is 7.14%

Read related link on:

https://brainly.com/question/24465194

50 points
The diameter of a circle measures 30 yd. What is the circumference of the circle?
Use 3.14 for a, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

C=pi(d)

C=94.25

Step-by-step explanation:

Answer:

94.2 Yd

Step-by-step explanation:

r=d/2

=30/2

=15

C=2πr

solve, 2×3.14×15

30×3.14

94.2 yd

Write a quadratic equation in standard form that has roots of -12 and 2

Answers

Answer:

x² + 10x - 24

Step-by-step explanation:

Given the roots are x = - 12 and x = 2 then the corresponding factors are

(x + 12) and (x - 2) and their product equals zero , that is

(x + 12)(x - 2) = 0 ← expand using FOIL

X² + 10X - 24 = 0

what is -3 1/3+5/6 please help me

Answers

Answer:

-15/6

Step-by-step explanation:

-3 1/3+5/6

5/6 - 3 1/3

=> 5/6 - 10/3

=> 5/6 - 20/6

=> -15/6

Answer:

-15/6

by cancellation

-5/2

Step-by-step explanation:

-10/3+5/6

LCM of 3,6 is 6

So,

Make the denominators equal,

-20+5/6

-15/6


Which of the following describe -1 4/6? Select all that apply.
rational number
irrational number
whole number
integer

Answers

Answer:

rational number

Step-by-step explanation:

as the denominator is not zero

1.) 3 3/8 - 1 1/2 = ?

2.) 168.45 + 67.3 = ?

3.) 6 3/5 + 3 9/10 = ?

4.) 249.6 - 58.07 = ?

5.) 5/6 + 7/12 = ?

6.) 334.16 - 95.03 = 3
(Pls answer it’s for homework.)

Answers

Step-by-step explanation:

1. -17/8

2. 235.75

3. 21/2

4. 191.53

5. 17/12

6. 239.13

Are these two expressions equivalent?
5(3+2) and 5.3 + 5.2

Answers

Answer:

No

Step-by-step explanation:

5(3+2) = 5(5) = 25

5.3 + 5.2 = 10.5

25 doesn't equal 10.5 therefore 5(3+2) isn't equivalent to 5.3 + 5.2

What is 1,025 divided by 68 full explanation

Answers

Answer:

15.1 (rounded to the nearest tenth decimal point)

Step-by-step explanation:

The explanation is, this is simple maths, nothing else. Let me know if it helps. Thank you

The answer to 1025 divided by 68 is 15.07

What’s 9 2/3into as improper fraction .

Answers

Answer:

[tex]\frac{29}{3}[/tex]

Step-by-step explanation:

9*3+2

Given the parent function f(x)=x2, what is the new equation if the function is translated 4 units to the right and 3 units down​

Answers

Answer:

f(x-4)-3

Step-by-step explanation:

- inside brackets moves right, + moves left

+ outside brackets moves up, - moves down

A piece of wire 6 cm long weighs 30 grams. What is the weight of an 8 m length of the same wire?
A) 400 grams
B) 425 grams
C) 640 grams
D) 4000 grams​

Answers

Answer:

4000 gm

Step-by-step explanation:

We can use ratios to solve

Change 8 m to cm

8m * 100cm/1m = 800 cm

6 cm             800 cm

-------------  = ------------

30 grams      x gm

Using cross products

6 * x = 800 * 30

6x = 24000

Divide by 6

6x/6 = 24000/6

x = 4000 gm

Is the square root of 25 real number or natural number or integer number or a whole number or Irrational number or a rational number?

Answers

Answer:

Yes, the square root of 25 is a whole numbers.

Step-by-step explanation:

Yes, square root of 25 is a rational number.

$2710 is compounded annually at a rate of 9​% for 1 year

Answers

So what do l have to answer

write each fraction number as a decimal write each fraction number as a decimal 4/33

Answers

0.12 as a decimal!!!!!!!!!!

(x^4)^2
how do I simplify this expression?

Answers

Answer:

x^8

Step-by-step explanation:

(x^4)^2

~Apply power rule [ (a^b)^c = a^bc ]

x^4(2)

~Simplify

x^8

Best of Luck!

Step-by-step explanation:

[tex] { {x}^{4} }^{2} \\ {x}^{4 \times 2} \\ {x}^{8} \\ thank \: you[/tex]

ɪ ɴᴇᴇᴅ ʜᴇʟᴘ ᴡɪᴛʜ ᴛʜɪꜱ !
ᴍᴀᴛʜ ᴇxᴘᴇʀᴛꜱ ᴏɴʟʏ

Answers

Answer:

-3

Step-by-step explanation:

Integers are whole numbers; a number that is not a fraction

PLEASE HELP FAST!! I CANNOT GET THIS WRONG!!!!
Makayla and David work at a furniture store. Makayla is paid $230 per week plus 7.5% of her total sales in dollars, x, which can be represented by g(x)=230+0.075x. David is paid $321 per week plus 4% of his total sales in dollars, x, which can be represented by f(x)=321+0.04x. Determine the value of x, in dollars, that will make their weekly pay the same.

Answers

Answer:

6

Step-by-step explanation:

you kna mean?

Pls help I’m very confused on this

Answers

Answer:

2nd Line

Step-by-step explanation:

In the second line he multiplied out the -4 and -8 which should've been a positive 32 but he put it as a negative.

Answer:

x = 7 ; see explanation below :)

Step-by-step explanation:

First off, here's what the steps should've actually been:

[tex]-4(x-8)+2x=18\\-4x+32+2x=18\\-2x+32=18\\-2x=-14\\x=7[/tex]

Now, the mistake in the original equation is that -4(x-8) was expanded to be -4x-32 - It is not '-32' because multiplying two negative numbers (-4 and -8)  will give you a positive number - that number should be 32. Of course, that one silly mistake then made the rest of the equation wrong too!

Have a nice day. Feel Free to Ask Questions. Spread The Love.

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