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aksik [14]
3 years ago
10

A Professor at a University sent his phone number in a disorderly manner to his students. The disordered phone number was 640011

28454.
To know his real phone number, he gave the student the following conditions:

1. Eight (8) must come between two zeros (0's).

2.The first number after the first condition is met must not be an odd number and it must be greater than 5.

3. The seventh number must be 1.

4. The fifth and sixth numbers must be two numbers whose difference is 1 and the bigger number must come first.

5. The fifth and sixth numbers are greater than 2.

6. The ninth and tenth numbers are the same.

7. The eighth number is greater than the last number.

8. The phone number must be 11 digits.

What was the Professor's real phone number?​
Mathematics
1 answer:
Taya2010 [7]3 years ago
4 0

Answer:

I found 608054144112

If the number isn't found by the given condition, write a variable to advance. but it is comfortable to solve if you follow them one by one

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Prove if the sum of the digits of a 3 digit number n is divisible by 9, then n is divisible by 9.
beks73 [17]

n=100x+10y+z\\x+y+z=9k,k\in\mathbb{Z}\\\\n=99x+9y+x+y+z\\n=99x+9y+9k\\n=9(11x+y+k)

6 0
3 years ago
What is the distance between the points P(-5, 4), Q(7, -5)
Nikolay [14]

Answer:

15

Step-by-step explanation:

Distance between two points is = √(x2 - x1)² + (y2 - y1)²

x1 = -5, y1 = 4; x2 = 7, y2 = -5

|PQ| = √(7 - (-5))² + (-5 - 4)²

|PQ| = √(7 + 5)² + (-9)²

|PQ| = √(12)² + 81

|PQ| = √144 + 81

|PQ| = √225

|PQ| = 15

4 0
3 years ago
A wholesaler of kitchen appliances offers a discount of 12% on the first $ 10,000 worth of goods and 17% on additional goods.Wha
Crazy boy [7]

First, let's figure how much will 12% discount take off 10,000 dollars worth of goods.

To do that, we can multiply 12 by 10,000 and then divide by 100 to get the discount.

12 x 10,000 = 120,000

120,000/100 = 1,200

The discount for 12% of 10,000 is 1,200 dollars off.

Then, we would subtract that from 10,000.

10,000 - 1,200 = 8,800

After that, we need to solve for the amount taken off 17% of 8,800.

Same thing, multiply 17 by 8,800 and then divide by 100.

17 x 8,800 = 149600

149,600/100 = 1496

Lastly subtract that from 8800.

8800 - 1496 = 7304

Therefore, the final cost of $18,000 worth of appliances is $7,304 plus tax.

7 0
3 years ago
Gavin drank 3/4 of a liter of orange juice from a container, which was 3/8 of the orange juice that was originally in the contai
Sliva [168]
X= amount of orange juice in the beginning
3/4=(3/8)X
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.75/.375=X
X=2
there were 2 liters in the beginning 
7 0
3 years ago
What is an equation parallel and perpendicular to y=-2/3x+4
SashulF [63]

Answer:

Parallel equation is  y=-2/3x+5

Perpendicular equation is y= 3/2x + 4

Step-by-step explanation:


4 0
3 years ago
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