Paul left his house at 9:45 a.m. and returned home at 6:55 p.m. the same day. How long was Paul away from home?

General method:

Given numbers are 1.3 bar and 1.4 bar

Two rational numbers between them

= 1.3222... and 1.43333...

Mean Method:

Let X = 1.333... → → →eqn(i)

since the periodicity is 1 then multiply eqn(i) with 10

⇛10×X = 1.333...×10

⇛10X = 13.333... → → →eqn(ii)

Subtract eqn(ii)-eqn(i)

10X = 13.333...

X = 1.333...

(-)

____________

9X = 12.000...

____________

⇛9X = 12

⇛X = 12/9

⇛X = 4/3

and

Let X = 1.444... → → →eqn(i)

since the periodicity is 1 then multiply eqn(i) with 10

⇛10×X = 1.444...×10

⇛10X = 14.444...→ → →eqn(ii)

Subtract eqn(ii)-eqn(i)

10X = 14.444...

X = 1.444...

(-)

____________

9X = 13.000...

____________

⇛9X = 13

⇛X = 13/9

Now we have 12/9 and 13/9

The rational number between them by mean method (a+b)/2

⇛{(12/9)+(13/9)}/2

⇛(25/9)/2

⇛25/18

and Second rational number

⇛{(12/9)+(25/18)}/2

⇛{(24+25)/18}/2

⇛(49/18)/2

⇛49/36

Answer: The two rational numbers between them are 25/18 and 49/36.

also read similar questions: INSERT TWO RATIONAL NUMBERS BETWEEN 2 AND 3. How to find them?

https://brainly.com/question/85169?referrer

Answer:

14x+11<-31

14x<-42

x=-3

Hope This Helps!!!

Answer:

Double-entry bookkeeping,in accounting, is a system of bookkeeping where every entry to an account requires a corresponding and opposite entry to a different account. The double-entry system has two equal and corresponding sides known as debit and credit.

10%

since he works 40 hours per week and gets $16 an hour, that would be 16 * 40 which is 640, so that means he needs a commission rate of 10% as 10% of 6400 is 640.

hope this is helpful!

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Work Shown:

(2 cm)/(7 m) = (7.5 cm)/(x meters)

2/7 = 7.5/x

2x = 7*7.5

2x = 52.5

x = 52.5/2

x = 26.25

7.5 cm on paper corresponds to 26.25 meters in real life.

side note: 26.25 meters = 86.122 feet approximately

The discriminant is greater than 0, so there are two real roots and it can be determined by using nature of roots.

Given that,

Equation; [tex]\rm 3x^2 - 8x + 5 = 5x^2[/tex]

We have to determine,

Which statement about the following equation is true?

According to the question,

To determine the true statement about the equation following all the steps given below.

Equation; [tex]\rm 3x^2-8x+5=5x^2[/tex]

Simplify the equation for the roots of the equation,

[tex]\rm 3x^2-8x+5=5x^2\\\\\rm5x^2- 3x^2+8x-5=0\\\\ 2x^2+8x-5=0\\\\ 2x^2+8x-5=0\\\\2x^2+8x=5\\\\2x(x+4)=5\\\\Then, \ 2x = 5, \ \ x = \dfrac{5}{2} \\\\And\ \ x+4=5, \ \ x=5-4, \ \ x=1[/tex]

The equation has two real roots and x is 1 and 5/2.

Hence, The discriminant is greater than 0, so there are two real roots.

For more details about Discriminate refer to the link given below.

https://brainly.com/question/10706429

Answer:

The answer is $7.05.

Hope it helps.

Step-by-step explanation:

Okay so Amy bought 5 shirts for $10.59 EACH.

So what we have to do is $10.59 x 5 which equals to $52.95. The final step is to take away $60.00 from $52.95. $60.00 - $52.59 = $7.05.

So Amy gets $7.05 change back.

Answer:

ABE

Step-by-step explanation:

Perpendicular means the slope of the line and the answer are reciprocal to each other.

The slope of the line is -1/2, which means the slope of the answer should be 2.

From A we got: y=2x-1

B:y=2x

C:y=-2x+1

D:y=-1/2x-2

E:y=2x-3

So the answer is ABE

Answer:

k = 3

Step-by-step explanation:

multiply 11 and 3 and you get 33 and then add 9 which you get 42

Answer:

k = 3

Step-by-step explanation:

[tex]11k+9=42\\\\11k+9-9=42-9\\\\11k=33\\\\\frac{11k}{11}=\frac{33}{11}\\\\k=3[/tex]

Answer:

B

Step-by-step explanation:

So a reflection over the x is a change in the y value.

Only point (2,0) is on the x-axis, so it will not move.

Answer: $14.9/hr

Step-by-step explanation: you divide $350.15 by 23.5hr to get how much she makes an hour

Answer:

20 (30 + d)

Step-by-step explanation:

your welcome :)

Answer:

2 and 4th one.

Step-by-step explanation:

Hopes This Helps :)

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[ Since, ln (1) = 0 ]

Therefore, the statement is true ~

Answer:

In(x+y) - In(x+y)

= In([tex] \frac{x + y}{x + y} [/tex])

= In(1)

=0

Hence, the statement is true!!

Answer:

Ali= x + 5

Aunt= 4x

Answer:

a) -inf b) DNE c) 2 d) 3 e) 1

Step-by-step explanation:

Im not 100% sure about c and d

Answer:

the volume of a cylinder is pi r^2 h = 3.14.(3.5)^2. 5.5=211.55 cubic foot

211.55 x 7.48052 =1583.36 gallons.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Something missing in "noticed that of the apples."  Perhaps "that 40% of . . .?"

But I'll try to answer, using an example:  

Avery noticed that 30% of the apples in a basket are red. There are 45 red apples in the basket.

To find the total number of apples, X:

(0.30)X = 45

X = 150 apples total.  45, or 45/150, is 0.3 0r 30%.

Answer:

it means you replace y with 18 so

33(18)

so 33*18=594

Hope This Helps!!!

Answer:

594

Step-by-step explanation:

33y

33(18)

33 x 18 = 594

Hey there!

7/6

= 7 ÷ 6

= 1.166667

Therefore, your answer is: 1.166667 which is approximately 1.67 or 1.7

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

I don't know

Step-by-step explanation:

Because I don't have a protractor and a scaled representation of the image you sent.

Answer:

D.) AFD and EFD

Step-by-step explanation:

supplementary angles equal 180° and this is the only set that produces 180 when added together. the supplementary angle is basically the whole straight line

Answer:

$49

Step-by-step explanation:

70 x 30%

70 x 0.3

21

70 - 21

49

Answer:

Well, we need to know how many apples Joe was robbed of before we can finish the problem.

Answer:

92 1/12      

Step by step explanation:                                

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve for x ~

Hence, value of x is -3

the 1st and 2nd ones r correct

Step-by-step explanation:

hope this helps