when 7 is subtracted from two third of the square of a number it becomes 17 find the number​

Answers

Answer 1

Answer:  6 or -6

hello,

Step-by-step explanation:

Let say n the number

[tex]\dfrac{2}{3} *n^2-7=17\\\Longrightarrow\ \dfrac{2}{3} *n^2=24\\\Longrightarrow\ n^2=\dfrac{3*24}{2}\\\Longrightarrow\ n^2=36\\\Longrightarrow\ (n-6)(n+6)=0\\\\n=6\ or\ n=-6\\[/tex]


Related Questions

1.

Find the first, fourth, and eighth terms of the sequence. A(n) = –2 • 2^n–1


A. –4; –32; –512

B. 1; –64; –16,384

C. –8; –64; –1,024

D. –2; –16; –256

Answers

Answer:

D

Step-by-step explanation:

given that

A(n)=-2•2^(n-1)

n->represent the terms

A(1)=-2•2^(1-1)=>-2•2^0

A(1)=-2•1=-2

For the fourth term

A(4)=-2•2^(4-1)

A(4)=-2•2^(3)

A(4)=-16

for the 8th term

A(8)=-2•2^(8-1)

A(8)=-2•2^(7)

A(8)=-256

Therefore first, fourth and eight => -2;-16;-256

A vegetable farmer fills of a wooden crate with of a pound of tomatoes. How many pounds of tomatoes can fit into one crate?

Answers

You can’t tell because it might be more than 1 pound, but you can say it’s at least 1 pound.

Which rule describes the pattern shown? 41, 54, 67, 80, 93, 106

Answers

Answer:

adding by 13

Step-by-step explanation:

subtract 54-41

simplify [(x-4)/(x-4)2]

Answers

X-4/2(X-4)
x-4 and x-4 gets canceled

Then later, we are left with 1 in the numerator and 2 in the denominator.

Hence the answer is,

1/2 OR 0.5

Simplify each

2. 2
— - —
5 3


3 3
— + —
4 8
With explanation please

Answers

Answer:

1) [tex] - \frac{4}{5} [/tex]

2) [tex] \frac{9}{8} [/tex]

Step-by-step explanation:

[tex] \frac{2}{5} - \frac{2}{3} = \frac{2 \times 3}{5 \times 3} = \frac{2 \times 5}{3 \times 5} = \frac{6}{15} - \frac{10}{15} [/tex]

[tex] \frac{6 - 10}{15} = - (10 - 6) = - 4[/tex]

[tex] = - \frac{4}{15} [/tex]

°■°■°■°■°■°■°■°■°■°

[tex] \frac{3}{4}+\frac{3}{8} [/tex]

[tex] \frac{6+3}{8} [/tex]

[tex] = \frac{9}{8} [/tex]

Cady found that she uses 1/6 of a roll of paper towels each week. How many rolls of paper towels will she use in 8 weeks?

Answers

Answer:

[tex]1 \frac{2}{6} [/tex]

Step-by-step explanation:

[tex]8 \times \frac{1}{6 } = \frac{8}{6} = 1 \frac{2}{6} [/tex]

the capacity of cylinder tank is 539 litres . if its height is 1.4m then find the area of base

Answers

Step-by-step explanation:

Solution:

Here,

Volume of the tank=539 litres

=539×1000cm^3=539000cm^3

Height=1.4×100cm=140cm

Let the radius of the base be r cm

Then,

22/7×r^2×140=539000

or,r^2=539000×7/22×140

or,r^2=1225

or,r=35 cm

So,

Area of base=pie r^2

=22/7×35^2

=3850 cm^2

Keep smiling and hope u r satisfied with my answer.Have a good day :)

Given Data:

Capacity of the Cylinder tank, V = 539 litres =

Height, h = 1.4 m

Area of the Cylinder, A = ?

Convert litres to m³: I litre = 0.001 m3

: . Capacity of the Cylinder tank = 539 litres = 0.539 m³

Let the radius of the base be r cm.

Find the radius of Cylinder:

Volume = πr²h

0.539 = πr²(1.4)

0.539 ÷ 1.4π = r²

r² = 0.12255

r = √0.12255

r = 0.35m

Find Area of Base:

Area, A = πr²

Area = π(0.35)² = 0.385 m²

Answer: The Area of base is 0.385 m²

What is 234 (two hundred and thirty four) X 0.35?

Answers

Answer:

81.9

Step-by-step explanation:

mark me brainliest plzz

234(234)×0.3

234×234×0.3

54,756×0.3

16,426.8

Pliz help solve this what's 3+4×2.00×29
Here the other question 5n+1 find the sequence

Answers

3+4x2.00x29 is 235.

Answer:

Step-by-step explanation:

1) 3 + 4*2*29 = 3 + 232  = 235  

First we have to do multiplication and then we have to add

2) 5n + 1

Term 1 ; n = 1  ;  5n + 1 = 5*1 + 1 = 5 + 1 = 6

Term 2 ; n = 2 ; 5n + 1 = 5*2 + 1 = 10 + 1 = 11

Term 3 ; n = 3 ; 5n+ 1 = 5*3 + 1 = 15 + 1 = 16

Term 4; n = 4  ; 5n + 1 = 5*4 + 1 = 20 + 1 = 21

The sequence : 6 , 11, 16 , 21 ..........

(a) Find the value of xif 10, x and 30 are in A.P.
(b) If 6,x,y, and 18 are in A.P., find the value of x and y.

it's a optional mathematics Questions please solve him​

Answers

Part A

Answer:  x = 20

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

Explanation:

AP = arithmetic progression, which is another way of saying arithmetic sequence.

Let d = common difference

first term = 10second term = first+d = 10+d = xthird term = second+d = x+d = 30

Apply substitution like so

x+d = 30

10+d+d = 30 ... replaced x with 10+d

10+2d = 30

2d = 30-10

2d = 20

d = 20/2

d = 10 is the common difference

Therefore,

x = 10+d = 10+10 = 20

The AP {10,x,30} updates to {10,20,30}. We see the gap between terms is 10 units. All AP's have the same gap width between adjacent terms.

=============================================================

Part B

Answers:  x = 10 and y = 14

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

Explanation:

We use the same ideas mentioned back in part A.

d = common difference = unknown for now

first term = 6second term = first+d = 6+d = xthird term = second+d = x+d = (6+d)+d = 6+2d = yfourth term = third+d = y+d = (6+2d)+d = 6+3d = 18

Hopefully you can see how each term builds up to form the next one. We'll solve that last equation like so

6+3d = 18

3d = 18-6

3d = 12

d = 12/3

d = 4

So we then can say:

x = 6+d = 6+4 = 10y = 6+2d = 6+2(4) = 6+8 = 14

The arithmetic sequence {6,x,y,18} updates to {6,10,14,18}. There's a gap of 4 between each adjacent term.

7. Is 5.787787778... a rational or irrational number?
Explain.

Answers

Answer:

Irrational

Step-by-step explanation:

Its irrational as it has no pattern of numbers after decimal point and the number are infinite

Answer:

irrational because it has a coma after one number

Carla bought a crate of red and green apples for her bakery. The crate had 140 red apples, which were 40% of the apples in the crate. How many apples were in the crate?

Answers

Answer:

350

Step-by-step explanation:

Do 140/0.4=350

Answer:

350 apples

Step-by-step explanation:

a = total number of apples in the crate

a* 40% = number of red apples

a * .40 = 140

Divide each side by .40

a * .40/.40 = 140/.40

a =350

What is 32,651.97 written in expanded form? PLease dont lie

Answers

Step-by-step explanation:

30000+2000+600+50+1+0.9+0.07

Concept:

First write ten thousands ,then thousands then hundred,then tens then ones then thenths then hundredths.

write an expression for the sequence of operations described below.
g fewer than the sum of f and 8
Do not simplify any part of the experssion.

Answers

Step-by-step explanation:

f + 8 > g this can be written in other ways but this sums it up

Find the y-intercept of the line: 6x – 3y +6=0

Answers

Answer:

Step-by-step explanation:

The y-intercept exists where the x coordinate is 0. Therefore, we can find it by plugging in a 0 for x and solving for y:

6(0) - 3y + 6 = 0 and

-3y + 6 = 0 and

-3y = -6 so

y = 2

From midnight to 6:00 am, the temperature dropped 0.9°C each hour. If the temperature at 6:00 am was -0.4°C, what was the temperature at midnight?
Help like asap

Answers

Answer:

5.8°C

Step-by-step explanation:

[tex]6 \times 0.9 = 5.4[/tex]

[tex]Therefore, 0.9 + 5.4[/tex]

[tex] = 5.8[/tex]

Show that 6 – 4x - x^2 can never be greater than 10.
( This is an Additional Math Question )

Answers

Answer:

see explanation

Step-by-step explanation:

Given

6 - 4x - x²

Since the coefficient of the x² term < 0 then parabola has a maximum vertex.

To find the x- coordinate of the vertex

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

with a = - 1 and b = - 4 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{-2}[/tex] = - 2

The corresponding y- coordinate is found by substituting x = - 2 , that is

6 - 4(- 2) - (- 2)² = 6 + 8 - 4 = 10

vertex = (- 2, 10 )

The maximum value of the function is the y- coordinate of the vertex

Then maximum value is 10

Thus 6 - 4x - x² is never greater than 10

The x-intercept of the equation 2y + 3x = 6 is:
A. -3.
B. 3.
C. 2.

Answers

Answer:

C

Step-by-step explanation:

X intercept <=> y=0

Hence the x intercept is x=2

Suppose Clare labels the books at a constant speed of s books per minute. Write an equation that represents the relatinoship between her labeling speed and the number of minutes it would take her to finish labeling. ​

Answers

it will take her 34 mins coz I said so innit

baseten school district bought 5,000 pencils. they are distributing the pencils evenly to 10 school in the district . how many pencils will each school get

Answers

Answer:

500

Step-by-step explanation:

5000 divided by 10

jordan cooked a 16 1/5 pound turkey in 5 2/5 hours. How many minutes per pound did it take to cook the turkey?

Answers

Answer:20 minutes per pound

we know that

To find the unit rate divide the total time by the total weight

Convert mixed number to an improper fraction

Convert hours to minutes

so

Find the unit rate

therefore

20 minutes per pound

HELPPPGPTPPFPPZPSKZJZ

Answers

Help it not answer you have to say helllooofrrr Dan holloywood helpoopp

5. Define linear pair
please answer fast

Answers

a liner pair is the pair of adjacent angles formed when two line intersect

………………………………….. x z z z

Answers

Answer:

a: 7:3

b:by reading 10 hours

Answer:

a: 4 : 1

b: 12 (water) : 3 (sugar)

Step-by-step explanation:

ratio is similar to a fraction

water to sugar

the "to" is for what of every what it needs

to = can be used as ":"

For example:

For every 1 cup of sugar you need 4 cups of water to make the humming bird nectar. (it needs to be IN ORDER which is why for letter 'a' I did it water to sugar)

Select all ratios equivalent to 7:5.

Answers

Answer:

77 : 55

Step-by-step explanation:

77 : 55

divide the ratio by 11.

7 : 5

Find the area and perimeter.



Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex.

12x + 72; 10x + 3
6x + 36; 10x + 3
12x + 72; 3x + 10
6x + 36; 3x + 10

Answers

Answer:

Area = 6x + 36

Perimeter = 3x + 10

Step-by-step explanation:

Sides of the triangle:  12 ; (x - 7)  & (2x + 5)

Perimeter of the triangle = sum of all the sides

      = 12 + x - 7 + 2x + 5

      = 2x + x + 12 - 7 + 5     {Combine like terms}

      = 3x  + 10

Area of triangle:

Base = 12  & height = h = x +6

[tex]Area = \dfrac{1}{2}b*h\\\\=\dfrac{1}{2}*12*(x+6)\\\\[/tex]

= 6 *(x + 6)       {Use distributive property}

= 6*x + 6*6

= 6x + 36

Find the cube root of 1.331

Answers

Answer:

answer is 1.1

Step-by-step explanation:

11(1331)

11(121)

11(11)

(1)

10(1000)

10(100)

10(10)

(1)

(11/10*11/10*11/10)^(1/3)

=11/10

=1.1.

Answer:

1.1

Step-by-step explanation:

What division problem iS
being
modeled?

Answers

Answer: I THINK fraction

Step-by-step explanation:

1/4 = fraction

Which one describes the algebraic expression for the phrase, "twice a number decreased by 5 is greater than 12"? 2n - 5 = 12
2n - 5 < 12
12 + 5n > 2
2n - 5 > 12

Answers

Answer:

2n - 5 > 12

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

1. I can wash a car in 20 minutes. How long will it take me to wash 20 cars?

2. I can type 4 words per minute. How long will it take me to write a 500 word essay?

Answers

1. 400 minutes because if it takes 20 minutes to do 1 car you multiply: 20 cars x 20 minutes to get 400 minutes

2. 125 minutes because if it takes 1 minute to write 4 words you divide: 500 words/ 4 words = 125 minutes
1. It will take you 400 minutes to wash the car
Other Questions
What is freefall? A satellite orbiting around the earth is always in the state of freefall. Why is it so? Give reason. List three semi-perishable food items. I WILL MARK AS BRAINLIEST! Solve the following Which of these is not one of the regional dialects of the United States?New EnglandSouthernGeneral AmericanStandard list of ancient human civilization including the rivers where they were developed If a motor or transformer has a low-frequency hum, what can be done to reduce/ eliminate the noise? Hammurabi is credited with setting up the first known set of laws and have themplaced publicly for people to see.True or False The area of a circle, in terms of , is 40 m2.Find the value of the radius.Give your answer as a simplified surd A central theme of the passage is thatAthose nations that dedicate themselves todemocracy will receive aid and support from theUnited States.Bcooperation among all nations is necessary toprotect the future of humanity.28.the Founding Fathers of the United States wouldbe proud of the country's progress over the lastcentury.the United States should dedicate more resourcesto fighting tyranny around the world,I would be guessing Members of the Flat Earth Society claim to believe the Earth is flat, and, it seems, they're serious. what is 9 subtracted from x find the two number whose A.M is 5 and G.M is 4 *Water vapor deposes into frost. What are the frost particles made of?Molecules of HydrogenMolecules of H2OMolecules of OxygenMolecules of Hydrogen and Molecules of Oxygen I need chapter one section three The inequality - 15 Why are intensive properties useful for identifying a substance? aThey are chemical properties. bThey describe the amount of substance you have. cThey are physical properties. dThey do not depend on the amount of substance you have. which of the following was part of the Byzantine empire at the height of its territorial expansion On January 1, 20X1, partners Art, Bru, and Chou, who share profits and losses in the ratio of 5:3:2, respectively, decide to liquidate their partnership. The partnership trial balance at this date follows: Debit CreditCash $ 18,200 Accounts Receivable 66,500 Inventory 52,500 Machinery and Equipment (net) 189,500 Accounts Payable $ 53,200 Art, Capital 88,500 Bru, Capital 110,500 Chou, Capital 74,500 Total $ 326,700 $ 326,700 The partners plan a program of piecemeal conversion of assets to minimize liquidation losses. All available cash, less an amount retained to provide for future expenses, is to be distributed to the partners at the end of each month. A summary of the liquidation transactions follows:January 20X1Collected $51,400 on accounts receivable; the balance is uncollectible.Received $38,300 for the entire inventory.Paid $2,100 liquidation expenses.Paid $51,200 to creditors, after offset of a $2,000 credit memorandum received on January 11, 20X1.Retained $10,200 cash in the business at the end of the month for potential unrecorded liabilities and anticipated expenses.February 20X1Paid $4,100 liquidation expenses.Retained $6,100 cash in the business at the end of the month for potential unrecorded liabilities and anticipated expenses.March 20X1Received $146,400 on sale of all items of machinery and equipment.Paid $5,100 liquidation expenses.Retained no cash in the business.Required:Prepare a statement of partnership liquidation for the partnership with schedules of safe payments to partners. (Round your answers to nearest whole dollar.)ABC PARTNERSHIPStatement of Partnership Realization and LiquidationFor the period from January 1, 20X1, through March 31, 20X1Capital BalancesCash Other Assets Accounts Payable Art Bru ChouBalances before liquidation, January 1, 20X1 January transactions: Collection of accounts receivable at a loss Sale of inventory at a loss Liquidation expenses paid Share of credit memorandum Payments to creditors Safe payments to partners February transactions: Liquidation expenses paid Safe payments to partners March transactions: Sale of M&Eq. at a loss Liquidation expenses paid Payments to partners Balances at end of liquidation, March 31, 20X1 ABC PARTNERSHIPSchedule of Safe Payments to PartnersArt 50% Bru 30% Chou 20%Schedule 1: January 31, 20X1 Capital balances Potential Loss on noncash assets Allocation of potential deficit Safe payment, January 31, 20X1 Schedule 2: February 27, 20X1 Capital balances Potential Loss on noncash assets Allocation of potential deficit Safe payment, February 27, 20X1 Find the unit rate.12 passengers in 4 carspassengers per car how to prepare jollof rice in french