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Virty [35]
2 years ago
5

Bob, driving a new Ford, travels 330 miles in the same amount of time it takes John, driving an old Chevy and traveling 10 miles

per hour faster, to travel 390 miles. How fast is Bob driving?
Mathematics
1 answer:
denis-greek [22]2 years ago
5 0

Answer:

  55 mph

Step-by-step explanation:

Let x represent Bob's speed. Then John's speed is x+10, and their respective times are found by ...

  time = distance/speed

  330/x = 390/(x+10) . . . . . . . the times are the same

  330(x +10) = 390x . . . . . . .  multiply by x(x+10)

  3300 = 60x . . . . . . . . . . . . . subtract 330x

  55 = x . . . . . . . . . . . . . . . . . . divide by the coefficient of x

Bob is driving at 55 miles per hour.

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Find the probability.
KATRIN_1 [288]

Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there are 15 bottles.

  • 5 are orange, hence the is a 5/15 = 1/3 probability that the coach gets orange, hence P(A) = 1/3.
  • After the coach, there will be 14 bottles remaining, of which 4 are orange, hence the probability that the friend gets orange is of P(B) = 4/14 = 2/7.
  • For you, there will be 13 bottles remaining, of which 5 will be of fruit-punch, hence the probability you get fruit-punch is of P(C) = 5/13.

The probability of the three outcomes occurring is given by:

p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366

0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

6 0
1 year ago
There's are 8 students who have 3/4 of a cake they want to share. How much of the cake will each student get if they spilt it ev
dmitriy555 [2]

Since there are 8 students, each student gets 1/8 of the available cake. Since there is 3/4 of a cake available, they will get 1/8 of 3/4.


Source: https://www.wyzant.com/resources/answers/142015/there_are_8_students_in_a_group_and_3_4_cake_how_much_cake_will_each_student_get_if_divided_evenly

3 0
3 years ago
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B(n)=1 (-2)^n-1<br> What is the 4th term in the sequence
zzz [600]

Answer:

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The sequence is 1,-2,4,-8...

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the sequence

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Put n=1

    B(1) = 1(-2)¹⁻¹ = 2⁰ =1

Put n=2

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Put n=3

  B(3) =1(-2)³⁻¹ = (-2)² =4

Put n=4

B(4) = 1(-2)⁴⁻¹ =(-2)³ =-8

The sequence

1,-2,4,-8...

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9. Ellie is making a batch of pancakes
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Answer:

Step-by-step explanation:

Maybe your questions has some wrong numbers in it?  but, going by what's in your questions ,  just  1 cup of flour   :/   seems too easy

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Please answer this correctly without making mistakes
HACTEHA [7]

Answer:

It would be the green chart

Step-by-step explanation:

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