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ivolga24 [154]
3 years ago
9

The number 75 can be written as the sum of the squares of 3 different positive integers. what is the sum of these 3 integers?

Mathematics
1 answer:
muminat3 years ago
8 0
The square numbers smaller than 75 are 1, 4, 9, 16, 25, 36, 49, 64
1+49+25=75 seems to be the only set possible. 
1+7+5=13
the answer is 13
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The 7-digit numbers 74A52B1 and 326AB4C are each multiples of 3. Which of the following could be the value C?
lbvjy [14]
74A52B1 and 326AB4C are multiples of 3.....That means if we divide them by 3, we should get a whole number. 

Lets assume A=1 and B=1, 
So,
74A52B1 becomes 7415211

Now, lets divide it by 3.
7415211 / 3 = 2471737

Since we got a whole number as a quotient, we can safely say that A=1 and B=1.

∴ The second number 326AB4C becomes 326114C.

Now, lets assume C = 1.
So,
326114C  becomes 3261141.
Now, 
lets divide it by 3.

3261141 / 3 = 1087047

Since we got a whole number as a quotient, C = 1

∴The value of C is 1. So, answer <u>choice A</u> is correct.


6 0
3 years ago
Vanessa earns a base salary of $400 every week with an additional 5% commission on everything she sells. Vanessa sold $1850 wort
lys-0071 [83]

Answer:

$492.50

Step-by-step explanation:

To start off, we already know that Vanessa makes at least $400 every week. What we don't know is how much Vanessa makes from her 5% commission on what she sells.

To solve for that, we need to find what 5% of $1,850 is. This can be done by multiplying $1,850 by 5%. Remember, we need to change 5% into its decimal form (5% -> \frac{5}{100} -> 0.05).

$1,850 x 0.05 = $92.5

This means that Vanessa made $92.5 off of commissions last week. The last step is to add her base salary of $400 to her commission sales and we get our final answer.

$400 + $92.5 = $492.50

Vanessa's total pay last week was $492.50

6 0
3 years ago
Solve the system by elimination<br><br> 3x-2y=3<br> 15x-4y=-3
stiv31 [10]

Answer:

x=-1

y=-3

Step-by-step explanation:

3x-2y=3(1)

5.(1) <=> 15x-10y=15 (2)

15x-4y=-3 (3)

(2)-(3) <=> -6y=18

4 0
2 years ago
Solve this problem y=(x-3)^2 when x=9​
atroni [7]
Y=36

it basically says y=(9-3)^2
which is y=6^2
which is then y=36
3 0
3 years ago
The Collatz conjecture is one of the most famous unsolved mathematical problems, because it's so simple, you can explain it to a
Vinil7 [7]

Hi, you've asked an incomplete question. However, I inferred you need a brief explanation about The Collatz conjecture.

<u>Explanation:</u>

Put simply, what the Collatz conjecture unsolved problem entails is that if any positive number is picked and it is:

  1. An even number (eg 2, 4, 6,...), then if they are divided by 2,  the new number gotten should undergo the same process (that is to be divided by 2), it is believed your calculation would finally end up at 1. For example, let's pick the number 6, (6÷2=4; repeating the process 4÷2=<u>1</u>)
  2. An odd number, then if they are multiplied by 3 and 1 is added to the result, it is believed that your calculation would finally end up at 1.
6 0
2 years ago
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