1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AlexFokin [52]
3 years ago
11

What is the smallest number by which 9408 must be divided so that the quotient is perfect cube?​

Mathematics
2 answers:
Mars2501 [29]3 years ago
8 0

Step-by-step explanation:

To find the smallest number by which 9408 must be divided so that the quotient is a perfect square, we have to find the prime factors of 9408.

9408 = 2*2*2*2*2*2*3*7*7

Prime factors of 9408 are 2, 2, 2, 2, 2, 2. 3, 7, 7

Out of the prime factors of 9408, only 3 is without pair.

So, 3 is the number by which 9408 must be divided to make the quotient a perfect square.

9408/3 = 3136

Square root of 3136

             56

       _____________

  5   |    3136

  5   |    25

___  |______

106  |      636

  6   |      636

       |_______

       |      000

       

So, √3136 = 56

Answer.              

Mandarinka [93]3 years ago
7 0

Answer:

Out of the prime factors of 9408, only 3 is without pair. So, 3 is the number by which 9408 must be divided to make the quotient a perfect square.

You might be interested in
Un futbolista ha metido 2/9 del número de goles marcados por su equipo y otro la
storchak [24]

Answer:

77 goles

Step-by-step explanation:

Un futbolista ha marcado 2/9 del número de goles marcados por su equipo.

Otro anotó una cuarta parte del resto.

El resto = 1 - 2/9

= 7/9

De ahí que otro futbolista anotó

= 1/4 de 7/9

= 7/36

Si los otros jugadores han marcado 45 goles

Tenemos que averiguar la fracción de goles que marcó el otro jugador

Deje que el número total de goles marcados por el equipo durante la temporada = 1

Por lo tanto:

1 - (2/9 + 7/36)

1 - (8 + 7/36)

1 - 15/36

1 - 5/12

= 7/12

¿Cuántos goles marcó el equipo a lo largo de la temporada?

El número total de goles que marcó ese equipo se calcula como:

7/12 × x = 45

Donde x = número total de goles

7x / 12 = 45

Cruz multiplicar

7x = 45 × 12

x = 45 × 12/7

x = 77,142857143

Aproximadamente = 77 goles

7 0
3 years ago
Write a real world problem that can be represented by 10x + 40 = 100.
NISA [10]
10x + 40 = 100

A restaurant owner sells each plate of rice for 10 dollars plus an additional 40 dollars for the entrance. Mack goes to that restaurant and pays 100 dollars in total. How much plates of rice did he order?<span />
8 0
3 years ago
Read 2 more answers
parking garage has 5 floors. If 117 cars can be parked on each floor, how many total cars can park in the garage? Drag numbers t
mr Goodwill [35]

Answer:

585 cars

Step-by-step explanation:

Given

Floors = 5

Cars = 117 per floor

Required

Determine the total number of cars

This is calculated by multiplying number of cars per floor by number of floors.

Total = Floors*Cars

Total = 5  * 117

Total = 585

<em>Hence, there are 585 cars in total</em>

6 0
3 years ago
Lúcia is using energy at a rate of 420 kilocalories (kcal) per hour (h) ice skating.
kakasveta [241]

Answer:

7000 cal/min

Step-by-step explanation:

It is mentioned that, Lucia is using energy at a rate of 420 kilo calories per hour ice skating

We know that,

1 kilo calories = 1000 calories

Using unitary method :

420 kilo calories = 420,000 calories

Also,

1 hour = 60 minutes

In this case, Lucia is using energy per 60 minutes =  420,000 calories. So,energy used by her per minute is :

E=\frac{420000}{60} =7000 calories

Hence, Lucia is using 7000 calories per minute.

Credit to handgunmaine: https://brainly.in/question/13030745

4 0
3 years ago
The area of a triangular block is 81 square inches. If the base of the triangle is twice the height, how long are the base and t
Gre4nikov [31]

Answer:

18 inches and 9 inches

Step-by-step explanation:

Given, The base of a triangle is twice of the height.

Area = 81 sq inches

Let, Base (b) = 2x

Height (h) = x

Area of the triangle = \frac{1}{2}bh

\frac{1}{2}bh = 81

or, x^{2} = 8

Base = 2×9 inches = 18 inches

Height = 9 inches

5 0
2 years ago
Other questions:
  • One track coach wants her athletes to race 2 miles around a track to measure how fast each person can run?If the track is 2/3 of
    11·1 answer
  • find the equation of straight line which passes through the point of intersection of straight lines.x+2y+3=0 and 3x+4y=7 and par
    14·1 answer
  • What is 9g + 4m - 8g
    10·2 answers
  • Which is lowest; Brand A: 240 mg sodium for 1/3 pickle or Brand B: 325 mg sodium for 1/2 pickle.
    8·1 answer
  • Please help with this math question guys! Thank you!
    5·2 answers
  • Help i’ll give brainliest please hurry
    6·1 answer
  • A boat travels due north for 20km and then turns and travels due east for 7km. How far away is the boat from where it started?
    15·1 answer
  • The ages of attendees at two different movies were randomly sampled. The data is presented in the double box plot. Compare the m
    7·1 answer
  • Savannah was paid $77 for 11 hours of babysitting and $55.25 for 8 hours. What is the constant of proportionality that describes
    12·1 answer
  • The radius of the water well is 2r inches. Find the area of the water well.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!