Find the smallest non-zero whole number n such that 756n is a perfect cube.

Answers

Answer 1

Step-by-step explanation:

756 = 2² * 3³ * 7.

For 756n to be a perfect cube, all of its prime factors must have a power that is a multiple of 3.

How to get from 2² to 2³: Multiply by 2.

3³ has already a power that is a multiple of 3.

How to get from 7 to 7³: Multiply by 7².

Hence n = 2 * 7² = 98.


Related Questions

Help me please. It means a lot

Answers

Answer: Jonny makes $15 per hour working at Target. He gets a bonus at the end of the month for $85. This month, he made a total of $685. Write an equation to show how many hours he worked

Step-by-step explanation:

1 is 51

2 is 34

3 is 95

5 is 47

6 is 74

7 is 59

Ok that should be right if I didn't mix anything up!

The best bike in a bike shop
sells for $400. The cheapest
bike sells for $50. The best
bike's price is what percent of
the price of the cheapest
bike?

Answers

Answer:

12.5%

Step-by-step explanation:

So just make an equation

400x=50

50/400=1/8=.125

.125=12.5

12.5%

slope of the line (-3,-6) and (4,1)

Answers

Answer:

- 5 / 7

Step-by-step explanation:

1 - 6 = - 5

4 - - 3 = 7

a/27 = -3.23

K/(1.2)= -0.07

54.6 = 4.2y

-7.2y = 61.2
Math rush please help

Answers

Answer:

K/(1.2)= -0.07

54.6 = 4.2y

-7.2y = 61.2

Math rush please help

Step-by-step explanation:

a/27 = -3.23

K/(1.2)= -0.07

54.6 = 4.2y

-7.2y = 61.2

Math rush please help

Subtract 2w + 4 ​​from​ 3w + 6 please help!!

Answers

Answer:

w+10

Step-by-step explanation:

3w+6-2w+4=w+10

Answer:

Step-by-step explanation:

x subtracted from y means y-x

2w+4 subtracted from 3w+6= (3w+6)-(2w+4)

don't forgett to diestribute invisible -1

-(2w+4)=-1(2w+4)=-2w-4

so

3w+6-2w-4=

3w-2w+6-4=

1w+2=

w+2

From number 2 and 3, The baker sends al his bread to one store if he can pack up to 15 loaves of bread in a box for shipping what is the minimum number of box’s required to ship all the loaves baked in two weeks

Answers

Answer:

Get smart and stay safe :D

25 less than x

Pls help anyone

Answers

Answer:

If you are looking for an equation, then it would be 25 < x.

Step-by-step explanation:

Solve for all possible values of x. Show all work.
X + 2
2x - 1
3x

Answers

Answer:

a) x+2=0

x= -2

b) 2x-1=0

2x=1

x= 1/2

c) 3x=0

x= 0/3

x=0

Q +2.02=9.2 q equals

Answers

Answer:

Q=7.18

Step-by-step explanation:

9.2-2.02=7.18

Answer:

7.18

Step-by-step explanation:

subtract 2.02 from 9.2

Find the value of the expression whenx=1, y=-1,z =0a)5y –y b) 3x² +2y + 3z² c) 2y² -3xyz

Answers

Answer:

a) 4

b) 1

c)2

Step-by-step explanation:

a) 5y - y

= 5 - 1

=4

b) 3×1×1 + 2×1 + 3×0×0

= 3 - 2 + 0

1

c) 2×1×1 - 3×1×1×0

= 2 - 0

= 2

please help with these two!!!

17. Given f(x) = e*-7, select the statement that is true.
A. f-'(x) = In x - 7
B. f-'(x) = In(x - 7)
c. f-'(x) = In x + 7
D. f-'(x) = In(x + 7)


Answers

Answer:

thanks for the points here u go

Step-by-step explanation:

Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?

Answers

Answer and Step-by-step explanation: Let \displaystyle xx be the amount Peter picked. Then Mary and Lucy picked \displaystyle 2x2x and \displaystyle x+2x+2, respectively. So

\displaystyle x+2x+x+2=26x+2x+x+2=26

\displaystyle 4x=244x=24

\displaystyle x=6x=6

Therefore, Peter, Mary, and Lucy picked 6, 12, and 8 kg, respectively.

Peter picked 6 kilograms of chestnuts.

Mary picked 12 kilograms of chestnuts.

Lucy picked 8 kilograms of chestnuts.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Let Peter pick x kilograms of chestnuts.

Given that Mary picked twice as many chestnuts as Peter

So, Mary picks 2x kilograms of chestnuts.

And Lucy picks  x + 2 kilograms of chestnuts

Together the three of them picked 26 kg of chestnuts

So, x + 2x + x + 2 = 26

4x + 2= 26

4x= 26-2

4x= 24

4x/4= 24/4

x= 6

Thus, Peter picked 6 kilograms of chestnuts.

⇒ 2x

⇒ 2 (6)

⇒ 12

Thus, Mary picked 12 kilograms of chestnuts.

⇒ x + 2

⇒ 6 + 2

⇒ 8

Thus, Lucy picked 8 kilograms of chestnuts.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

BRAINLIEST
Please help ASAP and leave a small explanation

Answers

Answer:
D

Explanation:
The angle between R and P is 35°, which means that W is 35° as well since they are congruent.

What is the approximate length of the missing side in the triangle below?

13.9 mi.
19.0 mi.
21.3 mi
25.4 mi

Answers

Answer:

[tex]21.3\:\mathrm{mi}[/tex]

Step-by-step explanation:

The Law of Cosines is given as the following:

[tex]c^2=a^2+b^2-2ab\cos C[/tex].

Plugging in given values and solving, we get:

[tex]c^2=15^2+18^2-2\cdot 15\cdot 18\cdot \cos 80^{\circ},\\c\approx \fbox{$21.3\:\mathrm{mi}$}[/tex]

Answer:

C: 21.3

Step-by-step explanation:

b = √a2 + c2 - 2ac·cos(B) = 21.33612

Add 3 5/12+2 5/9. Simplify the answer and write as a mixed number.

Answers

Answer:

5 35/36

Step-by-step explanation:

add the whole number: 3+2= 5

add the fractions: 5/12 = 5/9= 35/36

add the whole number and fraction

5 35/36 so x= 5 35/36

The Stanford Times had 2,700 subscribers last year.This year, after the paper was bought out, it had 17% more. How many subscribers were there this year?

Answers

17% of 2700=459

17% more= 2700+459

Subscribers this time=3,159

Write an equation in the first box (use x as your variable). Then, solve (in second box).

Answers

Answer: 3.2x = 48

Step-by-step explanation: So that means x = 15.


Which expression is equivalent to 4.25 – (-8)?
sumi
Choose 1 answer:
-8+(-4.25)
B
8 - 4.25
1:59
ice wi
the a
4.25 + 8
on 2:
D
4.25 +(-8)

Answers

Answer:

4.25+8

Step-by-step explanation:

the double negative makes it a positive

PLEASE ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ILL MARK BRAINLEIST
Stephanie checked the temperature in her house when she woke up. After 3 3/4 hours, the temperature had increased by 10 1/2 degrees. Assuming that the temperature rose at a constant rate, by how many degrees did the temperature in Stephanie’s house increase each hour?

Answers

2.8 degrees per hour

Brenda collected this data from an experiment.
Hours of Sunlight (t) 3 5 7 9 11 13
Height in inches (h) 2.3 3.3 3.9 6.1 7.0 8.4
For the line of fit h = 0.6t + 0.44, what is the residual (difference) of the data point at ???? = 7?

Answers

Given:

The data table of an experiment.

Equation of best fit line is

[tex]h=0.6t+0.44[/tex]

To find:

The residual (difference) of the data point at t = 7.

Solution:

From the given table, it is clear that the value of h is 3.9 at t =7.

So, observed value is 3.9.

Equation of best fit line is

[tex]h=0.6t+0.44[/tex]

Putting t = 7, we get

[tex]h=0.6(7)+0.44[/tex]

[tex]h=4.2+0.44[/tex]

[tex]h=4.64[/tex]

So, the estimated value is 4.64.

Residual formula:

Residual = Observed value - Estimated value

              = [tex]3.9-4.64[/tex]

              = [tex]-0.74[/tex]

Therefore, the residual value of the data point at t = 7 is -0.74.

-5x + y = 56 and x + y = -4

Answers

the slope of -5x + y = 56 is 5

the slope of x + y = -4 is -1

Find the value of 24/25 ÷ 4/5. Explain your reasoning

Answers

Answer:

6/5

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Answer:

0.048

Step-by-step explanation:

Divided both numbers

of 30 students, 1/3 play sports. Of those who play sports, 2/5 play soccer.
How many students play soccer?
A. 4
B.12
C.5
D.10


PLEASE HELP

Answers

It’s 4
1/3 of 30 equal 10
10 times 2/5=4

For 22 days out of the month, Brian rides his bike 16 miles a day. About how many miles does Brian ride in one month? Solve the problem and explain how you estimated the product.

Answers

352 would be the answer I think I multiplied it and searched it up to make sure I was right

Select all of the following tables which represent y as a function of x.

Answers

Answer:

the second and third one

Step-by-step explanation:

two y's that are the same can't have 2 outcomes

There are 15 pieces of fruit in a bowl and 3 of them are apples. What percentage of the
pieces of fruit in the bowl are apples?
a.
3%
c.
20%
b.
15%
d.
40%
Work Space

Answers

Answer:

c. 20%

Step-by-step explanation:

3/15=1/5

1 divided by 5 = .2

Move decimal point 2 times to get percent.

20%

Help me with this thx <3

Answers

I would think that it is 54600 dollars what I did was 39000 x .4 which is 15600

Kim has a new job. She decided to follow this savings plan: Month Dollars
1 - 65
2 - 72
3 -79
4 - 86
5 93
6 -100
7 - ?

Answers

Step-by-step explanation:

For every month increase by 1, the amount of dollars increase by 7. (from 65 to 72, 72 to 79, 79 to 86 etc.)

Hence at Month 7, there will be 100 + 7 = 107 dollars.

Answer:

107 dollors

Step-by-step explanation:

For every month, It increase 7 dollars, So it would be 107 bdollors

PLEASE HELP I WILL GIVE BRAINLIST I’m stressing out because I don’t get it, thank you!

Answers

Answer:

LINE B OR D

Step-by-step explanation:

i hope i could help... not 100%!! <3

please help asap!!!!!!!

Answers

Answer:

c = 20

Step-by-step explanation:

Given that,

A rectangle PQRS,

QT = c and ST = 4c-60

We need to find the value of c.

We know that the diagonals of a rectangle bisect each other such that,

QT = ST

Putting values,

c = 4c - 60

Taking like terms together,

60 = 4c - c

60 = 3c

c = 20

Hence, the value of c is 20.

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