Answer: Mason has 40 forty-nine cent stamps, 16 twenty cent stamps and 25 three cent stamps
Step-by-step explanation:
Let x represent the number of 49 cent stamps that Mason has.
Let y represent the number of 20 cent stamps that Mason has.
Let z represent the number of 3 cent stamps that Mason has.
Mason has a collection of 49 cent stamps, 20 cent stamps, and 3 cent stamps worth $23.55. This means that
0.49x + 0.2y + 0.03z = 23.55 - - - - -1
He had 56 total 49 cent and 20 cent stamps. This means that
x + y = 56
x = 56 - y
The number of 3 cent stamps is nine more than the number of 20 cent stamps. This means that
z = y + 9
Substituting x = 56 - y and z = y + 9 into equation 1, it becomes
0.49(56 - y) + 0.2y + 0.03(y + 9) = 23.55
27.44 - 0.49y + 0.2y + 0.03y + 0.27 = 23.55
27.44 + 0.27 - 0.49y + 0.2y + 0.03y = 23.44
27.71 - 0.26y = 23.55
- 0.26y = 23.55 - 27.71
- 0.26y = - 4.16
y = - 4.16/ - 0.26y
y = 16
x = 56 - y = 56 - 16
x = 40
z = y + 9 = 16 + 9
z = 25
Answer:
There are 12 pentapods and 8 Tripods, which in total add up to 84 feet.
Step-by-step explanation:
Given that both the Tripods and the Pentapods have, at least, 3 feet (the Pentapods have 5), and that in total between both groups they add 20 heads and 84 feet, the following logical reasoning can be made:
If there are 20 heads, there are 20 Martians in all. Each of them has, at least, 3 feet, with which in principle the 20 Martians would add up to a total of 60 feet (20 x 3). Therefore, there is a surplus of 24 feet (84 - 60).
If the Pentapods have 2 feet more than the Tripods, the number of Pentapods in the total Martians is determined by that difference. Thus, if there are 24 feet left, there are 12 Pentapods (24/2).
Therefore, in the group of Martians there are 12 pentapods (12 x 5 = 60) and 8 Tripods (8 x 3 = 24), which in total add up to 84 feet (60 + 24).
Answer:
2 : 3
Step-by-step explanation:
4 : 6
Divide each by 2
2 : 3
Answer:
4
Step-by-step explanation:
8x=32
x = 4
So basically you just want to say:
5 choices, with five choices stemming from that, with five more choices stemming from that.
(Drawing a tree would show that well)
Or,
5 * 5 * 5
Which is,
25 * 5
Or 125.
So 125 three letter words can be made from the letter FGHIJ