Simplify each expression.
1. 92

Answer:

A

Step-by-step explanation:

x^a/x^b=x^(a-b). General rule of exponents

Answer:

[tex] \displaystyle - 3 \sqrt{5n} + 4 \sqrt{15} n[/tex]

Step-by-step explanation:

we would like to simplify the following expression:

[tex] \displaystyle \sqrt{15} ( - \sqrt{3n} + 4n)[/tex]

recall distribution property thus:

[tex] \displaystyle - \sqrt{3n} \sqrt{15} + 4n \sqrt{15} [/tex]

remember that,

so assign variables:

simplify Multiplication:

[tex] \displaystyle - \sqrt{45n} + 4 \sqrt{15} n[/tex]

rewrite 45 as 9×5:

[tex] \displaystyle - \sqrt{9 \times 5n} + 4 \sqrt{15} n[/tex]

utilize the formula:

[tex] \displaystyle - \sqrt{9 } \sqrt{5n} + 4 \sqrt{15} n[/tex]

simplify square:

[tex] \displaystyle \boxed{- 3 \sqrt{5n} + 4 \sqrt{15} n}[/tex]

and we're done!

[tex]\boxed{\sf a(b+c)=ab+bc}[/tex]

[tex]\boxed{\sf \sqrt{p}\sqrt{q}=\sqrt{pq}}[/tex]

[tex]\\ \rm\longmapsto \sqrt{15}(-\sqrt{3n}+4n)[/tex]

[tex]\\ \rm\longmapsto -\sqrt{15}\sqrt{3n}+4\sqrt{15}n[/tex]

[tex]\\ \rm\longmapsto -\sqrt{3(15)n}+4\sqrt{15}n[/tex]

[tex]\\ \rm\longmapsto -\sqrt{3(3)(5)n}+4\sqrt{15}n[/tex]

[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{15n}[/tex]

Or we can break 15n

[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{3(5)n}[/tex]

[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{3}\sqrt{5n}[/tex]

In a scientific notation, M •10^n must be greater than or equal to 1 and less than 10.

Answer:

18/18 = 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is because,

As,

Negative integers are -1, -2, -3, -4, -5 .......

Also,

0 is neither negative integer nor positive integer,

And,

Positive integers are 1, 2, 3, 4, 5 .........

Therefore here ,

We get two sets of NON - POSITIVE INTEGERS,

That is 0 ( neither negative nor positive) and -1, -2, -3, -4, -5 ........ (Negative integers)

So,

Set of ( .......... -5, -4, -3, -2, -1, 0 ) is non - positive integers.

Answer:

C

Step-by-step explanation:

We are given 5 negative values plus 0. Keep in mind that 0 is not positive or negative. A non-positive integer is any negative number plus zero which the set follows. C is the only logical answer. A is incorrect because a negative number cannot be a whole number. B is incorrect because while we have negative values, we also have 0 and as stated previously, its not a negative or positive value. D is also incorrect because a non-negative integer is any positive value and zero but again, we don't have any positive values.

Best of Luck!

Answer:

Total Cost = $500 + $40t

Step-by-step explanation:

Bus = 500

Tickets = t

1 ticket = 40

Expression =

500 + 40t

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

[tex]\dfrac{C}{-9}=2\\\\\\[/tex]

Multiply both sides by (-9)

[tex]\dfrac{C}{-9}*(-9)=2*(-9)\\\\\\C=(-18)[/tex]

Answer:

C=-18.

Step-by-step explanation:

Setting up the problem,

C/-9=2

Multiplying both sides by -9, to get rid of the fraction,

C/-9x(-9)=2x(-9)

So, therefore, the final answer is C=-18.

I hope this has helped you. Enjoy your day, and take care.

Answer:

139

Step-by-step explanation:

Substitute x for 15.

9(15)+4

Then multiply:

135+4

And then add:

139

Answer:

A = (Y + 5)/ D

Step-by-step explanation:

Y = AD - 5

Y + 5 = AD - 5 + 5

Y + 5 = AD

(Y + 5)/D = AD/D

(Y + 5)/ D = A

》A = (Y + 5)/ D

Answer:

she paid for 77 hours

Step-by-step explanation:

First add 14+7 which equals 21 then keep adding 7 which is the total charge  each our until you reach 77.

Answer:

$12/ 1 hour of work

Step-by-step explanation:

30 : 2/12

Divide both sides by 2 1/2

12 : 1

9514 1404 393

Answer:

  rational

Step-by-step explanation:

  [tex]\sqrt[3]{\dfrac{1}{8}}=\dfrac{1}{\sqrt[3]{2^3}}=\dfrac{1}{2}\qquad\text{a rational number}[/tex]

1 meter = 100 cm

4 meters x 100 = 400 cm

Divide total cm by cm per piece:

400/5 = 80

80 pieces.

Answer:

I can’t see the red question.

Step-by-step explanation:

I HOPE IT WILL HELP YOU.

Have a great day ahead.

Answer:

Step-by-step explanation:

Total games:

Answer:

ball$

Step-by-step explanation:

<3

Step-by-step explanation:

no calculator available ?

this is pure number typing. no problem to be solved, no trick or hidden meaning to be considered, nothing.

at least the way you were typing the "problem" definition. as there are clearly some issues with the phrasing, maybe something was missed.

but here it goes :

61.2 + 9.35 + 8.6 = 79.15 meters

9.44 - 2.11 = 7.33 meters

1.36 + 10.17 = 11.53 meters

34.61 - 17.3 = 17.31 meters

The solution to the operations are:

a 79.15 meters

b. 7.33 meters

c.11.53 meters

d. 17.31 meters

This '+' is the addition sign. For numbers that have this sign, add the numbers together. This '-' is the subtraction sign. For numbers that have this sign, subtract the numbers from each number.

In order to round off to two significant numbers, the numbers after the decimals should be two non-zero digits.

a 61.2 meters + 9.35 meters +8.6 meters = 79.15 meters

b. 9.44 meters - 2.11 meters = 7.33 meters

c. 1.36 meters + 10.17 meters = 11.53 meters

d. 34.61 meters - 17.3 meters = 17.31 meters

To learn more about addition, please check: https://brainly.com/question/17861269?referrer=searchResults

[tex]\\ \sf\longmapsto RElative\:Frequency(Green)[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{14+28+28}[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{70}[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{2}{5}[/tex]

Answer:

28/60

7/15.

7/15R.f(green)

Hope it helps

Answer:

56

Step-by-step explanation:

The numerical length of QS is 128.

We have a Line Segment QT and a point R lies on the midpoint of QS.

We have to determine length of QS.

The mid - point of a line is a point that divides it into two parts of equal lengths.

According to question, we have -

RS = 2x - 4

ST = 4x – 1

RT = 8x – 43

Since, R is the midpoint of QS -

QR = RS = 2x - 4

QS = QR + RS = 2 x QR = 2(2x - 4)

Now -

ST = RT - RS

ST = 8x - 43 - 2x + 4

ST = 6x - 39

and

ST = 4x - 1     [Given]

Therefore -

6x - 39 = 4x - 1

6x - 4x = - 1 + 39

2x = 38

x = 19

Now -

QS = QR + RS = 2RS

QS = 2(2x - 4) = 2( 2 x 19 - 4) = 2(38 - 4) = 2 x 34 = 128

Therefore -  QS = 128

Hence, the numerical length of QS is 128.

To solve more questions on Lines and Lengths, visit the link below -

brainly.com/question/16345328

#SPJ6

Hi ;-)

[tex]-10\dfrac{2}{7}:(-4\dfrac{4}{11})=-\dfrac{10\cdot7+2}{7}:(-\dfrac{4\cdot11+4}{11})=\\\\\\=-\dfrac{70+2}{7}:(-\dfrac{44+4}{11})=-\dfrac{72}{7}:(-\dfrac{48}{11})=-\dfrac{72}{7}\cdot(-\dfrac{11}{48})=\dfrac{99}{42}=\boxed{2\frac{15}{42}}[/tex]

Answer:

30 , 20

Step-by-step explanation:

Let the other number  = x

[tex]p = \dfrac{2}{3}x\\[/tex]

x - p = 10    

Plugin p = (2/3)x in this equation,

[tex]x -\dfrac{2}{3}x=10\\\\\dfrac{3}{3}x-\dfrac{2}{3}x=10\\\\\dfrac{1}{3}x=10\\[/tex]

Multiply both side by 3

x = 10*3

x = 30

[tex]p=\dfrac{2}{3}*30\\\\p= 2 * 10[/tex]

p = 20

Answer:

30 and 20

Step-by-step explanation:

We have an integer p and another [tex]\frac{2}{3}[/tex] p , their difference is 10 , so

p - [tex]\frac{2}{3}[/tex] p = 10 ( multiply through by 3 to clear the fraction )

3p - 2p = 30 , that is

p = 30

and [tex]\frac{2}{3}[/tex] × 30 = 2 × 10 = 20

The 2 integers are 30 and 20

Answer:

-24

Step-by-step explanation:

steps are in the picture above.

Note:if you need to ask any question please let me know.

Answer:

Madarchod Benchod You Idiota You French

Answer:

485 bro just do it with calculator

Step-by-step explanation:

10×n-15

10×50-15

485

Answer:

12,000.

Step-by-step explanation:

First term = 10(1) - 15 = -5

50th term = 10(50) - 15 = 485

Sum of 50 terms = (50/2)(-5 + 485)

= 25 * 480

= 12,000

Answer:

Integer, whole number, and a rational number

Answer:

[tex] - \frac{19}{10} \: » \: { \sf{rational}} \\ \\ 20\pi \: » \: { \sf{irrational}} \\ \\ { \sf{ - \sqrt{49} \:» \: rational }}[/tex]

because -√49 = -7

[tex]85. { \bar {93}} \: » \: { \sf{rational}} \\ \\ 2 \sqrt{5} \: » \: { \sf{irrational}}[/tex]