Since you don't want any leftover items, you have to find the greatest common factor (GCF) of both the crayons and bubbles. Since the highest common factor for both 28 and 12 is 4, the greatest number of gift bags you can make without any leftover items would be 4 gift bags.
Hope I could help.
Step-by-step explanation:
A) 3x + 8 = 23
3x = 23 - 8
3x = 15
x = 15 / 3 = 5
B) 5x + 1 = 3x + 17
5x - 3x = 17 - 1
2x = 16
x = 16 /2 = 8
C) 4 (x+2) = 32
4x + 8 = 32
4x = 32 - 8
4x = 24
x = 24 / 4 = 6
Answer:
The 99% confidence interval for the mean number of hours of part-time work per week for all college students is between 25.8 and 30.2.
Step-by-step explanation:
A confidence interval has the following format.

In which
is the mean of the sample and M is the margin of error.
In this problem, we have that:



The 99% confidence interval for the mean number of hours of part-time work per week for all college students is between 25.8 and 30.2.
We have been that frequency (y) varies inversely with wavelength (x).
We know that two inversely proportional quantities are in form
, where a is inversely proportional to b and k is constant of variation.
Our required equation would be
.
To find frequency of blue light, we will substitute
and
in our equation as:


Therefore, the frequency of blue light is 764.