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.
Subtract 41.58 by 9 then devide that number by 8.07 to get the amount of pounds purchased your answer is 6
Answer:
(1), (4), (5), (7) applies to graph of odd monomial function.
Step-by-step explanation:
Consider an odd monomial function with the coefficient a.
The properties that satisfy the graph of an odd monomial function are:
- When a>0, the graph has no maximum or minimum point.
- When a<0, the graph has no minimum or maximum point.
- When a<0, the graph is in Quadrant II and IV.
- If IaI increases, the graph becomes narrower.
Answer:
A=2u
Step-by-step explanation:
Multiply 2 both sides of u and you will get A
Answer:
Measure of the unknown angle is 21°.
Step-by-step explanation:
In the given question,
Measure of opposite side and the measure of hypotenuse have been given.
Therefore, we will use the trigonometric ratio for the unknown angle which has the ratio of opposite side and the hypotenuse.






Therefore, measure of the unknown angle is 21°.