by what number should (-2/3)³ be divided so that the quotient is (9/8) -²

this is a question from 8th mathematics chapter 2 exponents ​

Answers

Answer 1

Answer:

-3/8

Step-by-step explanation:

(-2/3)³ / x = (9/8) -²

-2³/3³ = (2³/3²)²x

-2³/3³ = (2^6/3^4)x

-2³ × 3^-3 × 3^4 × 2^-6 = x

-2^-3 × 3 = x

x = -3/8


Related Questions

PLEASE HELP WILL MARK BRAINLIEST FOR BEST ANSWER If you reflect (-2, -8) across both axes, which quadrant will it be in? Justify your reasoning. Please no links or files

Answers

Answer:

  I

Step-by-step explanation:

Reflecting the point across both axes changes the signs of both coordinates. The reflected point will be (2, 8). Both coordinates are positive for points in Quadrant I.

Casey walked diagonally, from one corner to the opposite corner, across a square garden whose sides are 25 feet. How far did he walk?

Answers

Answer:

25m

Step-by-step explanation:

A square is a parallelogram having all sides equal. Hence, if Casey walked diagonally, she should have gone 25m as the rules of square states.

please mark brainliest

help asap! brainlist will be given!

Answers

for a, the answer is 7 as KM is double the size of HI

for b, the answer would be 15 because as i explained before, the bigger segment is double the size of the smaller segment inside the figure

for c and d, i’m not so sure on the results

A car dealership increased the price of a certain car by 3%. The original price was $31,800.

Answers

The answer is 30 because if u add a 0

Consider the line y = x+8.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

Answer: parallel is 1 and perpendicular is -1

Step-by-step explanation:

parallel lines have the same slope and perpendicular have the opposite and negative of the slope.

If im going 30 km per hour and i need to go 500 metres how long would it take

Answers

Answer:

1 minute

Step-by-step explanation:

1km = 1000m

30km = 30000m

30km ÷ 60 = 500m

it takes one hour to go 30km or a ratio of 30km to 1hour. 1hour is also 60minutes. 30:60

divide both sides by 60 gets 500m and the amount of time to go that distance 1 minute

Answer:

1/60 hr or 1 minute

Step-by-step explanation:

30 km per hour

30 km : 1 hr

convert 500 metres to km

1 km = 1000 metres

500 ÷ 1000 = 0.5 km

using ratios

30 km : 1 hr

0.5 km : x hr

to get from 30 to 0.5 multiply by 1/60 ( we got this from doing 0.5 ÷ 30) , so do the same to the other side

1 hr × 1/60 = 1/60 hr

you can convert to minutes = 1/60 × 60 = 1 minute

36. A refrigerator was sold for GH¢200.00 at
a loss of 10 %. Find the cost price.

Answers

well, the original price was "x", which is of course the 100%, the new price is 10% less than that, or namely 90% of that original and we know is 200 bucks.

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 200&90 \end{array}\implies \cfrac{x}{200}=\cfrac{100}{90}\implies \cfrac{x}{200}=\cfrac{10}{9} \\\\\\ 9x=2000\implies x=\cfrac{2000}{9}\implies x=222.\overline{2}[/tex]

this may sound like an easy question to some people but which fraction is 11/10 or 7/8 is greater than 1

Answers

Answer:

11/10 is greater than 1

Step-by-step explanation:

For reference, 10/10 = 1, 8/8 = 1. So when looking at these:

11/10 is 1 and 1/10

7/8 is less than 1

sonny has $76to spend. The purchase he wants to make requires $93. If he borrow the extra money that he needs, how much dos he need to borrow

Answers

Answer:

$17

Step-by-step explanation:

$93 minus $76 equals $17 which is how much sonny needs to borrow.

Answer: he will need to borrow $17

to make his purchase that cost $93

Step-by-step explanation: $93 - $76 = $17

Round your answer to the nearest hundredth.

Answers

Given b=4 and ∠β=20°,

a = 10.98991

c = 11.69522

∠α = 70° = 1.22173 rad = 7/18π

h = 3.75877

area = 21.97982

perimeter = 26.68513

inradius = 1.64735

circumradius = 5.84761

a

b

c

Calculation Steps

The following is one way to perform the calculation. It may not be the best way.

c =

b

sin(β)

= 11.69522

a = √c2 - b2

= √11.6952176006522 - 42

= √120.77811472661

= 10.98991

∠α = 90° - ∠β

= 70° = 1.22173 rad = 7/18π

area =

a × b

2

=

10.989909677818 × 4

2

= 21.97982

perimeter = a + b + c

= 10.989909677818 + 4 + 11.695217600652

= 26.68513

inradius =

a × b

a + b + c

=

43.959638711274

26.685127278471

= 1.64735

circumradius =

c

2

=

11.695217600652

2

= 5.84761

- ror

Antonio has $330 to spend on a hover board. Decide which description of a
price and discount, represents a pair of skis that Antonio can purchase with
the money he has.



25% off $450
20% off $385
20% off $360

Answers

I think the answer is 20% off $360

what is the maximum of P= x +6y

Answers

P= 9

Step-by-step explanation:

y = (10 - 2x) / 4

y = (12 - x) / 9

Find Boundary Points:

(0,0)

(3,1)

(0,4/3)

(5,0)

Plug them into equation (DO NOT NEED (0,0) DO NOT USE):

P = 3 + 6(1) = 9

P = 0 + 6(4/3) = 8

P = 5 + 6(0) = 5

MAX VALUE: P = 9

HELP HELP HELP PLS PLS IM CONFUSED

Answers

Answer:

y=19 z=19

Step-by-step explanation:

45 45 90 triangles are this: sides=hyp/sqrt(2)

mathXL lol

Please help. I'll give Brainliest to the correct answer!​

Answers

Answer:

A) x = 0, y = 14

Step-by-step explanation:

Line A:  y = 6x + 14

Therefore, the slope of line A = 6

If Line B is perpendicular to Line A, then the product of their slopes is -1.

⇒ slope of Line B = [tex]-\dfrac16[/tex]

Given Line B passes through point (2, 13 2/3).

Use slope-point form of linear equation to find equation for Line B:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-13 \frac23=-\dfrac16(x-2)[/tex]

[tex]\implies y=-\dfrac16x+14[/tex]

Solution of system is the point where the lines intersect.

From inspection of the equations of the lines, the point of intersection is (0, 14)

Jamar just got hired for a new job and will make $ 48 , 000 $48,000 in his first year. Jamar was told that he can expect to get raises of $ 3 , 500 $3,500 every year going forward. How much money in salary would Jamar make in his 18th year working at this job?

Answers

The amount of money Jamar will make in his 18th year working at this job is = $107,500

Calculation of yearly salary outcome

The amount of money Jamar made in his first year= $48,000

The salary rise per year = $3,500

The amount of money he will make for the extra 17 years is = 17 × $3,500

= $59,500

Therefore the amount he will receive as his salary in the 18th year working at this job = $48,000 + $59,500

= $107,500

Learn more about salary outcome here:

https://brainly.com/question/24855677

What is the ratio for 128 eggs per 72 strips of bacon

Answers

Answer:

128:72

Or

16:9 (simplified)

Hope this helps!

Bamboo plants grow rapidly. A bamboo plant is 121 inches tall. Tomorrow it will be 134 inches tall, the next day it will be 147 inches tall, and on the next day it will be 160 inches tall. Write an explicit formula to represent the height of the bamboo plant as an arithmetic sequence. How tall will the plant be in 15 days?

Answers

The height of the bamboo plant after 15 days is 316 inches.

What is the height of the plant in 15 days?

In order to determine the formula that represents the rate of growth of the bamboo plant, we have to determine the inches of growth per day.

Rate of growth per day = 134 - 121 = 13 inches

The height of the bamboo plant = 121 + 13h

Where h is the number of days

Height in 15 days = = 121 + (13 x 15)

= 316 inches

To learn more about linear functions, please check: https://brainly.com/question/26434260

Image attached! Please help, and explain because I don’t understand!

Answers

Answer:

64 (2) ^ n-1  

I hope that this helps!

help me with geometry please

Answers

Answer:

y= 95.

180°-120°=60° (adding 120° with x should give you 180°)

x=60°

25°+60°=85°

180°-85°=95

Answer:

y=95

Step-by-step explanation:

we know that the triangle angles sum is 180°

to find Y you should find x

we are going to find x, we know that a straight angle is 180, to find the x you should:

[tex]120+x=180[/tex]

move 120 to the other side with a negative sign:

[tex]x=180-120\\x=60[/tex]

angle [tex]x=60[/tex]

now we know enough angles to find y:

[tex]25+60+y=180[/tex]

25 is given in the picure and 60 is the x angle while 180 is the sum of a triangle angles, we have to flip the equaton to find y:

[tex]25+60+y=180\\85+y=180\\y=180-85\\y=95[/tex]

Allen’s phone company charges him $20 a month and $5 per gig of data used. His bill last month was $55. Write an equation to represent this relationship.

Answers

Answer:

x (constant) = 20 ((month)) y (variable) = 5 ((gig of data))

Step-by-step explanation:

20x+5y=55 (7 gigs)



Help me please I really need help

Answers

Answer:

37

Step-by-step explanation:

I'm having trouble explaining this one, sorry

Answer:

The team is measuring 333 feet below the surface.

Step-by-step explanation:

Step 1. Write the function out

P = 14 +(8d/9)

Step 2. Plug in the (P )ounds [310]

310 = 14 + (8d/9)

Step 3. Remove 14 from the right side of the equation (Subtract 14 from everything)

296 = 8d/9

Step 4. Remove 9 from the right side of the equation (Multiply everything by 9)

2664 = 8d

Step 5. Remove 8 from the right side of the equation (Divide everything by 8)

333 = d

Final Answer: The team is measuring 333 feet below the surface.

Evaluate:
64.2 divid –7.5
A. –11.68
B. –8.56
C. 8.56
D. 11.68

Answers

Your Answer Should Be.... B

Answer:

B

Step-by-step explanation:

-8.56 = 64.2 divided  7.5

Please answer this right and if you do I’ll give brainly

Answers

Answer :

92

92 bc you’d get 92.16 but round down

write an exponential function in the form y=ab^x that goes through the points (0,14) and (6,896)

Answers

Answer:

y = 14 [tex](2)^{x}[/tex]

Step-by-step explanation:

Find a and b by substituting the points into the equation

using (0, 14 ) , then

14 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then

14 = a × 1 ⇒ a = 14

y = 14 [tex]b^{x}[/tex]

using (6, 896 )

896 = 14 [tex]b^{6}[/tex] ( divide both sides by 14 )

64 = [tex]b^{6}[/tex] ( take the sixth root of both sides )

b = [tex]\sqrt[6]{64}[/tex] = 2

Then

y = 14 [tex](2)^{x}[/tex] ← is the exponential function

What is the image of (-4, 2) after a reflection over the y-axis?

Answers

Answer:

(4,2)

Step-by-step explanation:

x,y > -x, y

The fixed price of a taxi journey costs $11.50 plus $5 per traveled kilometer. How much will you pay for a journey of 20 kilometers?

Answers

$11.5 fixed
20k * $5 = $100
$100 + 11.5 = 111.5

She will pay for a journey of 20 kilometers.

We have given that,

The fixed price of a taxi journey costs $11.50 plus $5 per traveled kilometer.

We have to determine How much will you pay for a journey of 20 kilometers.

We have $11.5 fixed.

We have to determine for 20km we have to pay.

What is the equation for 20km traveled?

20k * $5 = $100

$100 + 11.5 = 111.5

Therefore she will pay for a journey of 20 kilometers.

To learn more about the cost visit:

https://brainly.com/question/1153322

#SPJ2

Please help!!! What is the equation of the function given the following table of values?

Answers

Answer:

C

Step-by-step explanation:

if you plug in the X values, you get the corresponding Y values.

Examine this graph representing US unemployment rates. Which of these years might economists consider a trough? 1980 1982 1983 1985.

Answers

Graphs can represent a function, table and ordered pairs

The year that economists might consider a trough is 1982

How to determine the trough year

From the graph, we have the following parameters:

1980 = 7%1981 = 9%,1982 = 11%1983 = 8%1984 = 7%2985 = 7%

In this case, the year that can be considered a trough is the year when the rate of unemployment is at highest (i.e. 11% in 1982)

Hence, the year that economists might consider a trough is 1982

Read more about troughs at:

https://brainly.com/question/13597823

Answer:

1982

Step-by-step explanation:

edge

What is the probability that amber could pull a red 9 out of a deck of cards, replace it, then pull out a black 5?

Answers

Answer:

Try looking it up

Step-by-step explanation:

sorry i tried! Dont get mmad i tried the best i could to work this out..

someone pls help asap i’m very desperate! thanks!!

Answers

Answer:

A: $250B: $600, earns more interest

Step-by-step explanation:

The simple interest formula is ...

  I = Prt . . . . . r is the interest rate, t is the number of years

Solving for P, we have ...

  P = I/(rt)

Account A

6 months is 1/2 year, so the principal is ...

  P = $4.38/(0.035×1/2) = $250.2857...

Rounded to the nearest dollar, the principal invested is $250.

__

Account B

Using the same approach, for 18 months, t = 18/12 = 3/2 = 1.5.

  P = $20.70/(0.023×1.5) = $600

The principal in Account B is $600.

__

First Month's Interest

Using the interest formula, the first month's interest in each account is ...

  A: I = 250×0.035×1/12 = $0.73

  B: I = 600×0.023×1/12 = $1.15

Account B earns more interest in the first month.

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