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lions [1.4K]
3 years ago
6

357 miles in 6.3 hours

Mathematics
1 answer:
FromTheMoon [43]3 years ago
7 0

Speed: 357 miles : 6.3 hours = 357 : 63/10 = 357 * 10/63 = 3570/63 = 56 42/63 mph
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A city park employee collected 1,850 cents in nickels, dimes, and quarters at the bottom of a wishing well. There were 30 nickel
makvit [3.9K]

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

4 0
3 years ago
George believes the Art Club students at his school have an unfair advantage in being assigned to the art class they request. He
Whitepunk [10]

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.

4 0
3 years ago
Find the height of a cone with the volume of 21 ft.³ and a radius of 4 feet
Rama09 [41]
I think its 1.25ft but i could be wrong... sorry if im wrong
3 0
4 years ago
What is the general equation of a sine function with an amplitude of 6, a period of StartFraction pi Over 4 EndFraction, and a h
Katen [24]

Answer:

C: y = 6 \sin (8(x-\frac{\pi}{2} ))

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.

3 0
3 years ago
Read 2 more answers
Jarred sells DVDs. His inventory shows that he has a total of 3,500 DVDs. He has 2,342 more contemporary titles than classic tit
Mamont248 [21]
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!
3 0
3 years ago
Read 2 more answers
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