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forsale [732]
4 years ago
8

Contestants in a dance-a-thon rest for the same amount of time every hour. A couple rests for 27 minutes In 3 hours. How long di

d they rest in 5 hours?
Mathematics
1 answer:
NeX [460]4 years ago
4 0

Set up a ratio and solve for the missing value:

\frac{27}{3} =\frac{x}{5}\\x = \frac{(27)(5)}{3}\\x = 45


The couple rested for 45 minutes in 5 hours.

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B(n)=1 (-2)^n-1<br> What is the 4th term in the sequence
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Answer:

The fourth term of the sequence B(4) =-8

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

Step-by-step explanation:

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

Given that the sequence

     B(n) = 1(-2)ⁿ⁻¹

Put n=1

    B(1) = 1(-2)¹⁻¹ = 2⁰ =1

Put n=2

   B(2) = 1(-2)²⁻¹ = (-2)¹ =-2

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...

5 0
3 years ago
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Naddika [18.5K]
The second one should be the answer
7 0
3 years ago
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The points in the table lie on a line. Find the slope of the line
8090 [49]

Answer:

1/2

Step-by-step explanation:

Pick two of the x's and y's

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3 years ago
Aaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed 96 doll
bogdanovich [222]

Using a system of equations, the meaning of point R is given as follows:

A number of books and their cost where both subscriptions cost the same.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable. In a graph, the solution to the system is the intersection point of the two equations.

In this problem, the point R is the point in which:

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That is, the point in which the prices are equal, hence:

A number of books and their cost where both subscriptions cost the same.

More can be learned about a system of equations at brainly.com/question/24342899

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7 0
2 years ago
Best be solved with the inequality 40 – 3x ≥ 5
erastova [34]

Answer:

A. You bring $40 to the carnival. You need to keep at least $5 for the bus ride home. how many $3 dollar rides can you go on

Step-by-step explanation:

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