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:
<h2>D. 0.389</h2>
Step-by-step explanation:
We need to find the probability of a studend taking a humanities class, given the student is male.
In this case, the total number of outcomes 180, which is the total number of male students. The possible event is 70, which is all male students which take humanities class.
So, the probability is
Therefore, the right answer is D., the probability that a student is taking a humanities class, given the student is male, is 0.389, rounded to the nearest thousandth.
Answer: slope: 6. Y-intercept: -8
Step-by-step explanation: the equation for a slope is y = mx+b. M is the slope and b is the y intercept. Since it is minus 8 the y intercelt will be -8. I am 100 percent sure about slope and 75 percent sure about the y-intercept
Answer:
x = 7 / 2, y = - 5 / 2
Step-by-step explanation:
3x + y = 8 ------> equation 1
3 ( 3x + y = 8 )
9x + 3y = 24 ------> equation 2
x - 3y = 11 ------> equation 3
Add equations 2 & 3,
9x + 3y = 24
x - 3y = 11
_________
10x + 0 = 35
10x = 35
x = 35 / 10
x = 3.5
Substitute x = 3.5 in equation 1,
3x + y = 8
3 ( 3.5 ) + y = 8
10.5 + y = 8
y = 8 - 10.5
y = - 2.5
x = 3.5
= 35 / 10
x = 7 / 2
y = - 2.5
= - 25 / 10
y = - 5 / 2
Answer:
7. 
Step-by-step explanation:
r^11 x r^8 =
r^11 + 8=
2^19
