• The first (leftmost) digit plus the second digit is the third digit.
• The second digit plus the third digit is the fourth digit.
• The third digit plus the fourth digit is the fifth (rightmost) digit.
• All of the digits are different.
How many different addy numbers are possible?
Step-by-step explanation:
Let the 1st two digits of the numebr be x and y
Given that, 1st digit = x
2nd digit = y
3rd digit = x + y
4th digit = x + 2y
5th digit = 2x + 3y
None of the diigts can be 0 because then x = y, also none of the digits can be more tan 9 which limits the possible first digits as 1,2 and 3
(i) consider x= 1,hence 2x + 3y < 10
2 + 3y < 10
3y < 8
which makes y < , since y cant be 1, it is 2
sub x = 1, y = 2 we get the number as 12358.
(ii) consider x= 2,hence 2x + 3y < 10
4 + 3y < 10
3y < 6
which makes y < 2,then y becomes 1
sub x = 2, y = 1 we get the number as 21347.
(iii) consider x= 3,hence 2x + 3y < 10
6 + 3y < 10
3y < 4
which makes y < , then y becomes 1
sub x = 3, y = 1 we get the number as 31459.
There are 26 unique addy numbers. The possible first digits for an addy number are only 1 through 4. The rest of the digits are deterministically found by the sums of adjacent digits and condition of each digit being unique.
An 'addy' number is a 5-digit number with specific addition rules between adjacent digits. To determine how many possible addy numbers there are, we need to analyze the rules and work out possible combinations.
Firstly, no digit can be zero because all digits must be a part of the sum which means the minimum value should be 1. And, as we move forward, since each number must be unique, it limits our possibilities of choosing values.
Consider the following: If the first digit is 1, the second could be any number from 2 to 9 (8 choices). The resulting third digit would be uniquely determined since it is the sum of the first two digits. This continues through the rest of the number, with each subsequent digit determined by the sum of the previous two digits. The only restriction is that a digit cannot be repeated, and thus the sum of two digits cannot go above 9.
By trying this approach with different starting numbers (1 through 4), we realize that the maximum number of unique addy numbers can be calculated as the sum of the series 8, 7, 6, 5 which is 26.
#SPJ3
3x – 9y = 0
–x + 3y = –3
A. infinitely many
B.1
C.2
D.0
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What is the solution to the system of equations?
2x + y= -3
x - 2y= -4
(___,___)
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In a recent golf match, Tiger’s score was 4 less than Phil’s score. Their combined scores totaled 140. Let p represent Phil's score and t represent Tiger's score.
Which pair of equations can be used to determine their scores?
A. p – t = 140
p + t = 4
B. p + 140 = t
p = 4
C. p + t = 140
p – t = 4
D. p + t = 140
p + t = 4
(i think this one is C)
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The system of equations is coincident.
What are the missing values?
3x + y= 7
9x + __ y= __
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Allison and her husband Noah both get in their cars and begin to drive at the same time. Allison starts 360 mi from their home and drives directly home at a constant rate of 50 mph. Noah starts at their home and drives away from the home at a constant rate of 40 mph. The system that models this situation is given, where d represents the distance from home, and t represents time, in hours. The solution to the system is (4, 160).
What is the correct interpretation of the solution to this system?
d = 360 - 50t
d =40t
A. Noah will be 160 mi from home and Allison will be 4 mi from home.
B. Allison and Noah will both be 160 mi from home after 4 h.
C. Noah will be 4 mi from home and Allison will be 160 mi from home.
D. Allison and Noah will both be 4 mi from home when they drive for 160 min.
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please help me I dont understand these.
Part A - Minimum of buckets -20....Kimberly sold -8
Part B -All you have to do is 20 total sold - 8 sold buckets so...20-8=12
- with the number line part I do not have a option of drawing a number line but I have given u reasonable answers for Part A and Part B
-hoped this helped please thank me if possible an have a nice day!
Thank you !
The height of tree is 32 meter
Solution:
Given that, The sun is at an angle of elevation of 58 degree
A tree casts a shadow 20 meters long on the ground
The sun, tree and shadow forms a right angled triangle
The figure is attached below
ABC is a right angled triangle
AC is the height of tree
AB is the length of shadow
AB = 20 meters
Angle of elevation, angle B = 58 degree
By definition of tan,
In this right angled triangle ABC,
opposite = AC and adjacent = AB
Therefore,
Thus height of tree is 32 meter
169.6 inches cubed
667.8 inches cubed
706.8 inches cubed
Answer:
667.8 cm³
Step-by-step explanation:
To find the volume of a box;
simply multiply the length, width, and height - and you're good to go! For this case, the box is 9x7x10.6 cm, then the volume of a box is 667.80 cubic centimeters. For dimensions that are relatively small whole numbers, calculating volume by hand is easy. Therefore, the volume of the box is 667.8 inches cubed
Answer:
x = 18 and 1/4