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masya89 [10]
2 years ago
12

FIND the smallest number by which 576 mus be divided to make it perfect cube​

Mathematics
1 answer:
Sophie [7]2 years ago
7 0

Answer:

9

Step-by-step explanation:

when you divide 576 by 9 you get 64 which is a perfect cube

cbrt(64) = 4

so your answer is 9

You might be interested in
Score Frequency
RUDIKE [14]

Scores on an AP Exam at a local high school are recorded in the table. What was the average score?

Answer: D) 4.266 is correct

Explanation:

We are given the below frequency table:

Score Frequency

1         |         0

2        |         3

3        |         4

4        |        16

5        |       22

Let's denote the score by x and frequency by f.

The average formula is:

Average=\frac{\sum fx}{\sum f}

                    =\frac{(1\times0) + (2\times3)+(3\times4) +(4\times16) + (5\times22)}{0+3+4+16+22}

                    =\frac{0+6+12+64+110}{45}

                    =\frac{192}{45}=4.267

Therefore, the average score was 4.267

Hence the option D) 4.266

7 0
3 years ago
Plzzz help asap this is due and plz tell me why and how to do this
Ilia_Sergeevich [38]
F - Irrational, -13.8
Because the negative sign is not inside of the radical, we can tell that the number is being multiplied by the negative. Thus, do the radical equation first, get the answer 13.8202... and multiply by -1 to get the answer. Also, it is irrational because it is not a perfect square.
6 0
3 years ago
The graph shows the time and distance Mr. Patel has driven while on a business trip. What is the unit rate in miles per hour he
boyakko [2]

Answer:75. y/x = 75/1 = 75

Step-by-step explanation:

y/x = 75/1 = 75

7 0
3 years ago
The difference between two positive integers is 7 and the sum of their squares is 949. What are the numbers?
Darina [25.2K]

Answer:

25 and 18

Step-by-step explanation:

Let's say that the first number is x and the second one is y.

First, the difference between them is 7, so x-y=7

Next, the sum of their squares is 949, so x²+y² = 949

We have

x-y=7

x²+y²=949

One thing we can do to solve this problem is to solve for x in the first equation, plug that into the second equation, and go from there

Adding y to both sides in the first equation, we have

x = 7 + y

Plugging that into the second equation for x, we have

(7+y)²+ y² = 949

expand

(7+y)(7+y) + y² = 949

49 + y² + 7y + 7y + y² = 949

combine like terms

2y² +14y + 49 = 949

subtract 949 from both sides to put this in the form of a quadratic equation

2y² + 14y - 900 = 0

divide both sides by 2

y² + 7y - 450 = 0

To factor this, we want to find 2 numbers that add up to 7 and multiply to -450.

The factors of 450 are as follows:

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, and 450.

Note that we want to find two numbers with a difference of 7, as one will have to be negative for the multiplication to end up at -450. Two numbers that stand out are 18 and 25. To make them add up to 7, 18 can be negative. We therefore have

y² + 25y - 18y - 450 = 0

y(y+25) - 18(y+25) = 0

(y-18)(y+25) = 0

Solving for 0,

y-18 = 0

add 18 to both sides

y=18

y+25 = 0

subtract 25 from both sides

y= -25

As the question states "two positive integers", this means that y must be positive, so y = 18. We know x-y=7, so

x-18 = 7

add 18 to both sides to isolate x

x = 25

7 0
3 years ago
there are five people in a room each person shakes the hand of every person exacally once how many handshakes or exchanged
nalin [4]
25  because there's 5 people so you take 5 times 5
5 0
3 years ago
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