Answer: there are 70 dimes and 40 quarters.
Step-by-step explanation:
A dime is 10 cents
A nickel is 5 cents
A quarter is 25 cents
Let x represent the number of dimes at the bottom.
Let y represent the number of quarters at the bottom.
The city park employee collected 1,850 cents in nickels, dimes, and quarters at the bottom of a wishing well. If there were 30 nickels, it means that
10x + 25y + 30 × 5 = 1850
10x + 25y = 1850 - 150
10x + 25y = 1700- - - - - - - - -1
There is a combined total of 110 dimes and quarters. It means that
x + y = 110
Substituting x = 110 - y into equation 1, it becomes
10(110 - y) + 25y = 1700
1100 - 10y + 25y = 1700
1100 + 15y = 1700
15y = 1700 - 1100
15y = 600
y = 600/15
y = 40
x = 110 - y = 110 - 40
x = 70
Answer:
class assignment seems to discriminate against Art Club members
Step-by-step explanation:
The probability of getting the requested assignment given that the student was in Art Club was ...
P(got class | art club) = P(got class & art club)/P(art club)
P(got class | art club) = (100/500)/(165/500) ≈ 60.6%
__
P(got class | not club) = P(got class & not club)/P(not club)
P(got class | not club) = (265/500)/(335/500) ≈ 79.1%
It looks like George's theory may be incorrect, as a significantly greater percentage of non-club students got their requested class than did club students. The class assignment process and art club membership are not independent, suggesting an unfair disadvantage for club students.
I think its 1.25ft but i could be wrong... sorry if im wrong
Answer:
C: 
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
Here, x - y = 2342
x = 2342 + y
Substitute this value into first equation,
2342 + y + y = 3500
2y = 3500 - 2342
y = 1158/2
y = 579
So, x = 2342 + 579 = 2921
In short, Your Answer would be 2921 contemporary titles
Hope this helps!