Answer:
- 31 pencils
- 38 erasers
- 44 sharpeners
Step-by-step explanation:
The number of packets is the greatest common divisor of the given numbers of pencils, erasers, and sharpeners.
It can be helpful to look at the differences between these numbers:
748 -646 = 102
646 -527 = 119
The difference of these differences is 17, suggesting that will be the number of packets possible.
527 = 17 × 31
646 = 17 × 38
748 = 17 × 44
The numbers 31, 38, and 44 are relatively prime (31 is actually prime), so there can be no greater number of packets than 17.
There will be 31 pencils, 38 erasers, and 44 sharpeners in each of the 17 packets.
_____
We may have worked the wrong problem. The way it is worded, the <em>maximum</em> number of items in each packet will be 527 pencils, 646 erasers, and 748 sharpeners in one (1) packet. The <em>minimum</em> number of items in each packet will be the number that corresponds to the maximum number of packets. Since 17 is the maximum number of packets, each packet's contents are as described above.
17 is the only common factor of the given numbers, so will be the number of groups (plural) into which the items can be arranged.
Answer:
try nine to the seventh power
Step-by-step explanation:
tell me if it works
Answer:
22 sides
Step-by-step explanation:
The expression to find an interior angle of a polygon is:
The expression to find an exterior angle of a polygon is:
Please note that "n" represents the number of sides the polygon has.
We can use these two expressions to set up an equation.
Multiply both sides by "n":
Now, distribute:
Divide both sides by 10:
Add 36 to both sides:
Divide both sides by 18:
The polygon has 22 sides
330 miles are driven in 5 hrs and 45min at a speed limit of 56mph
The missing number is 12. The sequence goes 7, 12, 17. If you subtract five from each number, you get the one before it.
