Find the smallest possible integer value of k for which 264k is a perfect square.

Answers

Answer 1

Step-by-step explanation:

264k

= 2³ * 3 * 11 * k

Hence, k = 2 * 3 * 11 = 66.

Answer 2

Answer:

k = 66.

Step-by-step explanation:

Find the prime factors of 264

264  =  2 * 2 * 2 * 3 * 11

The nearest perfect square will contain  one more 2, one more 3 and one more 11

=  264 * 2 * 3 * 11

= 17424.


Related Questions

√ 25 –2√3 + √27 +2√ 9 Express in simplified radical

Answers

Answer:

The expression in simplified radical  form is:

√ 25 –2√3 + √27 +2√ 9 = 11 + √3

Step-by-step explanation:

Given the expression

√ 25 –2√3 + √27 +2√ 9

as

√ 25 = 5

√27 = 3√3

2√9 = 6

so the expression becomes

√ 25 –2√3 + √27 +2√ 9

= 5 - 2√3 + 3√3 + 6

= 11 + √3

Thus, the expression in simplified radical  form is:

√ 25 –2√3 + √27 +2√ 9 = 11 + √3

I really need help :(

Answers

The correct answer is A
The answer is C. AY explanation:

2.8-4.4n-2n+7



QUICKLY BRAINLY IF CORRECT

Answers

Step-by-step explanation:

=9.8-6.4n

just add them together as easy as that

When Ramon looked out at the school parking lot, he noticed that for every 3 minivans, there were 7 other types of vehicles. If there are a total of 150 vehicles in the parking lot, how many of them are minivans?

Answers

Answer:

Step-by-step explanation:

If there were 3 vans for every 7 cars, then there were 3 vans for every 10 of the total in the lot. Use a proportion to solve this:

[tex]\frac{vans}{total}:\frac{3}{10}=\frac{x}{150}[/tex] and cross multiply to get

10x = 450

so x = 45

There are 45 vans in the lot.

Identify the constant of proportionality.

Answers

Answer:

14

Step-by-step explanation:

If you divide -28 and -2, you get 14 which is the constant of proportionality. You can try to multiply -4 and 14 to check which you get -56. The graph shows that and it's the correct answer!

The next event requires each runner to jump 8 hurdles that are spaced 12.3 meters apart. If there are 15 meters from the starting line to the first hurdle and 10.5 meters from the last hurdle to the finish line, how long is the race? Show your work. (2 points) 15 m 10.5 m Start Finish

Answers

Answer: 111.6 meters

Step-by-step explanation:

Since there are 8 hurdles that are spaced 12.3 meters apart, the number of meters here will be:

= 7 × 12.3 meters

= 86.1 meters

We are further told that there are 15 meters from the starting line to the first hurdle and 10.5 meters from the last hurdle to the finish line.

The length of the race will be:

= 86.1 + 15 + 10.5

= 111.6 meters

Answer:

The race is 111.6 m long.

8 hurdles spaced 12.3 m apart means 7 spaces that are 12.3 m in length; 7*12.3 = 86.1

Add to this the distance to the first hurdle and the distance from the last hurdle:

86.1+15+10.5 = 111.6 m

Step-by-step explanation:

Hope this helps

Grandma Gertrude gave 131313 pieces of jewelry and Grandma Fien gave yyy pieces of jewelry to the Carlson sisters to divide evenly among themselves. There are 555 Carlson sisters. How many pieces of jewelry did each sister receive?

Answers

Answer: (13 + y) / 5

Step-by-step explanation:

Since Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carlson sisters, the total jewellery given to the sisters will be:

= 13 + y

Since there are 5 Carlson sisters, the number of pieces of jewelry that each sister receive will be:

= Total jewelries / Number of sisters

= (13 + y) / 5

Answer:Grandma Gertrude gave 131313 pieces of jewelry and Grandma Fien gave yyy pieces, so the sisters received a total of 13+y13+y13, plus, y pieces of jewelry.

The sisters divided the 13+y13+y13, plus, y pieces of jewelry evenly among themselves, and there were 555 sisters. So each sister received \dfrac{13+y}{5}

5

13+y

start fraction, 13, plus, y, divided by, 5, end fraction pieces of jewelry.

Each sister received \dfrac{13+y}{5}

5

13+y

start fraction, 13, plus, y, divided by, 5, end fraction pieces of jewelry.

If f (x)=3^5-x + 6, what is the value of f (5), to the nearest tenth?

Answers

Answer:

240

Step-by-step explanation:

3^5 - 5 + 6

243 - 5 = 238+6= 244

240?

Write an
explicit formula for the sequence 6,2,-2,-6-10, ... Then find the 1st term.

Answers

Answer:

Step-by-step explanation:6232821

Given A = P + PRT, Solve for T

Answers

Answer:

C. T = (A - P) / (PR)

Step-by-step explanation:

A = P + PRT

A - P = PRT

(A - P) / (PR) = T

4. Find the slope of the line
that passes through the two points.
(2.8) (10,2)

Answers

Answer:

-3/4

Step-by-step explanation:

y2-y1/x2-x1

2-8/10-2

-6/8

-3/4

Calculate the number of ways to arrange 9 books of different tittles on a book
rack.
A. 45
B. 81
C. 368280
D. 362880

Answers

Answer:

D good luck :) also have a great day

i thought it was B because you can arrange it on that one book 9 times. and then you can change the base book nine times which would give you nine more different combinations per book

help please!

Does mapping the triangle DEF onto triangle GHI prove the two triangles are congruent? Explain your reasoning.

Answers

Yes, and there are actually several methods to do so. One method to ensure congruency is to rotate and translate the triangle onto the other, which does not change the shape or size, only where it is. They perfectly match each other when rotated and translated, showing perfect congruency. Another way to ensure congruency is to find angle lengths/slope. Using the slope formula (rise/run), we can find both slopes (whch is the distance in this case) of each side length of both triangles. The angle lengths and slopes are equal to each other.

Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency.

What is congruence?

If two figures are exactly the same in sense of their length side all things then they will be congruent.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides.

As per the given graph,

Triangle GHI and triangle DEF are plotted.

If we map triangle DEF onto GHI since the length is the same and orientation will become the same so both triangles will coincide with each other.

And it is known that if the length of all sides of a triangle is the same then they will be called a congruent triangle.

Hence"Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency".

To learn more about congruence,

https://brainly.com/question/12413243

#SPJ5

Help me please:(for brainiest:(

Answers

Answer:

The first equation is -8y

The second equation is -16.2h

Step-by-step explanation:

Hope that helps you out! :)

4y-12y is -8y

-3.7h + h - 13.5h is -16.2h

Divide up the number 72 in a 2:3:4 ratio.
pls
no trolling last one was trolling i think

Answers

Answer:

16:24:32

Step-by-step explanation:

So you add all the 2+3+4 and you’ll get 9

Now divide 72/9, you’ll get 8

now multiply 8 on all the ratios

2*8=16

3*8=24

4*8=32

now put them together

16:24:32

Answer:16:24:32

Step-by-step explanation:

180 = 16x -5+5х+4+90

Answers

Answer:

What is your question?

Step-by-step explanation:

Answer:

x=81.2

Step-by-step explanation:

Will mark brainliest for whoever answers

Answers

Answer:

a; r=1 is the answer

Step-by-step explanation:

Answer:

c).r=1

Step-by-step explanation:

hope this help

pick me as the brainliest

WILL GIVE BRAINLIESt:

Given: ∆ABC, AC = 5

m∠C = 90°

m∠A = 22°

Find: Perimeter of ∆ABC

Answers

Perimeter of ΔABC is 12.41 units.

From the picture attached,

ΔABC is a right trianglem(AC) = 5 unitsm(∠C) = 90°m∠A = 22°

Since, cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] and sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

For angle A,

Adjacent side = AC = 5 units

Opposite side = BC

and Hypotenuse = AB

By substituting the values in the cosine ratio,

cos(22°) = [tex]\frac{5}{AB}[/tex]

AB = [tex]\frac{5}{\text{cos}(22^{\circ})}[/tex]

      = 5.39

Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(22°) = [tex]\frac{BC}{5.39}[/tex]

BC = 5.39[sin(22°)]

     = 2.02

Since perimeter of the given triangle ABC = AB + BC + AC

By substituting the measures of all sides in the expression of the perimeter,

Perimeter = 5.39 + 2.02 + 5

                 = 12.41 units.

         Therefore, perimeter of the given triangle is 12.41 units.

Learn more,

https://brainly.com/question/5993308

Deon had $25. Then he spent $15 on lunch. What percentage of his money did Deon spend on lunch?​

Answers

Answer:

Deon spent 60% of his money on lunch.

Step-by-step explanation:

Please answer the question below

Answers

the answer is c which is the number 12

plsssssss help 5/6 x 7/8

Answers

35/48 or 0.7916repeating. not sure what you need it written as

Q1) 3 cups to milliliters. Round to the nearest hundredth if necessary. Your answer​

Answers

Answer:

3 cups = 709.77 milliliters

Step-by-step explanation:

Cup : milliliters

1 cup : 236.59 milliliters

3 cups : x milliliters

Equate both ratios

1 / 236.59 = 3 / x

Cross product

1 * x = 236.59 * 3

x = 709.77 milliliters

Therefore,

3 cups = 709.77 milliliters to the nearest hundredth

Find the slope between the following two points: (3, 1), (5, 4).

Answers

Answer:

3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

F(-3)=2(-3^2)-8
Answer please

Answers

Answer

Solving for F

F=8 2/3, 8.6

I Dont get thisssssss

A bowling alley charges $2.50 per game plus $4 to rent shoes. A second bowling alley charges $4 per game plus $1 to rent shoes. How many games would a
person have to play for the two bowling alleys to cost the same amount?

Answers

Answer:

The person would have to play 2 games for the two bowling alleys to cost the same amount

Step-by-step explanation:

Assume that the number of games that makes the two costs equal is x

∵ A bowling alley charges $2.50 per game plus $4 to rent shoes

∵ The number of games is x

The cost = 2.50x + 4

∵ A second bowling alley charges $4 per game plus $1 to rent shoes

∵ The number of games is x

The cost = 4x + 1

∵ They have the same cost

→ Equate the 2 expressions above

4x + 1 = 2.50x + 4

→ Subtract 2.50x from both sides

∵ 4x - 2.50x + 1 = 2.50x - 2.50x + 4

1.50x + 1 = 4

→ Subtract 1 from both sides

∵ 1.50x + 1 - 1 = 4 - 1

1.50x = 3

→ Divide both sides by 1.50

x = 2

The person would have to play 2 games for the two bowling alleys to

   cost the same amount

An earthquake wave travels through 55 km of rock in 25 seconds . Which equation represents the relationship between t, the number of seconds, and d, the total distance the wave travels?

Answers

Answer:

2.2 m/s

Step-by-step explanation:

Step one

Given data

An earthquake wave travels through 55 km

hence distance = 55 km

time taken = 25 seconds

Required

the expression relating t and d

Step two:

we know that velocity is

Speed= distance/time

speed= 55/25

Speed= 2.2 m/s

Mia's soccer coach told her to keep track of how much water she drinks. Yesterday she drank 18 ounces with breakfast, 21 ounces with lunch, and 19 ounces with dinner. She also finished 2 full 12-ounce bottles of water during soccer practice. >) Mia works out that she drank 82 ounces of water in total. Does that sound about right?​

Answers

yes, 82 ounces is the correct answer.

5th question
answer Plss​

Answers

Answer:

no

Step-by-step explanation:

57 isnt a prime number

16 pearls/20opals = 8pearls/ blank opals complete each equivalent ratio

Answers

Answer:

10

Step-by-step explanation:

16/20=8/10

16/2=8

20/2=10

16 pearls/20opals=8perals/10opals

4 Sheila buys 200 shares of stock at $18.25 per share and sells them at $32.50 per
share.
Her total profit is

Answers

Answer:

Step-by-step explanation:

If Sheila buys

200 shares for 18.25

200*18.25==3650

she sells them for

200*32.50=6500

her profit is

6500-3650=2850.00

another way to solve this would be

32.50-18.25=14.25

14.25*200=2850

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