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2 years ago

Twice a number is 60 more than five times the number. what is the number?

1 answer:

5 0

Let the number be represented by x
2x=60+ 5x -20*2=60+5*-20
2x-5x=5x-5x+60 -40=60+-100
-3x=60 -40=-40
-3x/-3=60/-3
x=-20
Therefore the number is -20

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A sequence is shown below. 4, 8, 16, 32, . . . Which formula can be used to determine the nth term in the sequence? Use the form

zvonat [6]

Answer:

a8 = 512.

Step-by-step explanation:

This is geometric sequence with common ratio r = 2 and first term a1 = 4.

nth term = a1 r^(n-1)

So a8 = 4 2(^8-1)

= 4 * 2^7

= 4*128 = 512.

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2 years ago

Mark A machine has two parts labeled A and B. The probability that part A works for one year is 0.8 and the probability that par

Mrrafil [7]

Answer:

0.625 = 62.5% probability that part B works for one year, given that part A works for one year.

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

The probability that part A works for one year is 0.8 and the probability that part B works for one year is 0.6.

This means that $P(A) = 0.8, P(B) = 0.6$

The probability that at least one part works for one year is 0.9.

This means that: $P(A \cup B) = 0.9$

We also have that:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$0.9 = 0.8+0.6 - P(A \cap B)$

$P(A \cap B) = 0.5$

Calculate the probability that part B works for one year, given that part A works for one year.

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5}{0.8} = 0.625$

0.625 = 62.5% probability that part B works for one year, given that part A works for one year.

3 0

2 years ago

Greta has watched 30 minutes of a movie. This is 20%<br>of the entire movie. How long is the movie?

german

The answer is 180 minutes. because you multiply 30 times 0.20 and you get 6. Then you multiply 6 times 30 and get 180 minutes. And 180 minutes in hours is 3 hours.

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2 years ago

How many solutions are there to the equation below?<br> 6x + 33 = 6(x+6)

Ainat [17]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's solve ~

$6x + 33 = 6(x + 6)$

$6x + 33 = 6x + 36$

Here, 6x is present on both the sides of equation so they cancel out ~ therefore there is no one solution satisfying the equation ~

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2 years ago

Read 2 more answers

Find the zeros of the function.

Verdich [7]

Smaller x = -2/5

Larger x = 5

7 0

2 years ago