Translate the algebraic expression shown below into a verbal expression.x/4

The sum of four and some number
The product of some number and four
The difference of four and some number
The quotient of some number and four

Answers

Answer 1

Answer: The quotient of some number and four.

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Solve the equation 3x-4y=16 for x

Answers

Hi there!

One little tip of advice I would like to give you is that when solving equations with 2 variables, and you're looking for only one, the second will always end up in your answer. So, since we're solving for x, the y will end up in our equation. :D

Let's begin!

$3x - 4y = 16$

Step 1) Add 4y to both sides.

$3x - 4y + 4y = 16 + 4y 3x = 4y + 16$

Step 2) Divide both sides by 3.

$(3x)/(3) = (4y + 16)/(3)$

$x = (4)/(3) y + (16)/(3)$

Final answer -

$x = (4)/(3) y + (16)/(3)$

If you wanted to see this graphed, however, see the attached file. :)

Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

3x-4y=16
add 4y to both sides
3x=4y+16
divide both sides by 3
x=(4y+16)/3

32 is 40 percent of what number

Answers

0.4x = 32
Solve for x
x = 32/0.4
x = 80

At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.19 and the probability that the flight will be delayed is 0.15. The probability that it will not rain and the flight will leave on time is 0.74. What is the probability that the flight would be delayed when it is not raining? Round your answer to the nearest thousandth.

Answers

The probability that the flight would be delayed when it is not raining is 12.15%.

Since at LaGuardia Airport, for a certain nightly flight, the probability that it will rain is 0.19 and the probability that the flight will be delayed is 0.15, while the probability that it will not rain and the flight will leave on time is 0.74 , to determine what is the probability that the flight would be delayed when it is not raining, the following calculation must be performed:

Probability that it will not rain = 1 - probability that it will rain
X = 1 - 0.19
X = 0.81

Probability that the flight would be delayed when it is not raining = probability that it is not raining x probability that the flight will be delayed
X = 0.81 x 0.15
X = 0.1215
0.1215 x 100 = 12.15

Therefore, the probability that the flight would be delayed when it is not raining is 12.15%.

Learn more in brainly.com/question/795909

Final answer:

Explanation:

To find the probability that the flight would be delayed when it is not raining, we can use conditional probability. The probability that the flight will be delayed given that it is not raining can be calculated using the formula:
P(delayed | not raining) = P(delayed and not raining) / P(not raining)
We are given that P(delayed and not raining) = 0.74 and P(not raining) = 1 - 0.19 = 0.81. Substituting these values into the formula:
P(delayed | not raining) = 0.74 / 0.81 ≈ 0.914. Therefore, the probability that the flight would be delayed when it is not raining is approximately 0.914.