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miv72 [106K]
2 years ago
7

Three times the sum of 5 and a number is a value between 12 and 21.

Mathematics
1 answer:
ira [324]2 years ago
6 0

Answer:

A.

Step-by-step explanation:

We are told that three that the sum of 5 and a number is between 12 and 21 which means:

12

Divide all sides by 3:

\frac{12}{3}

4

4

Subtract 5 on both sides:

4-5

Simplify:

-1

So the answer is A.

Slightly different route:

12

Distribute 3 to the terms in the ( ) next to it:

12

Subtract all sides by 15:

12-15

Simplify:

-3

Divide both sides by 3:

\frac{-3}{3}

Simplify:

-1

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Y=2/9x+9

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5 0
3 years ago
Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation h = -16t2 + 72t +
boyakko [2]

Answer:

  about 5.613 seconds

Step-by-step explanation:

Using the quadratic formula to find the value of t when h = 0, we have ...

  at² +bt +c = 0

  t = (-b±√(b²-4ac))/(2a)

  t = (-72±√(72² -4(-16)(100)))/(2(-16))

  t = (-72±√11584)/-32 = (9±√181)/4

Only the positive value of t is of interest.

  The coin will hit the stream after (9+√181)/4 seconds ≈ 5.613 seconds.

4 0
3 years ago
Explain how to find the volume of any composite figure.
snow_tiger [21]

Answer:

Step-by-step explanation:

The first composite shape is a combination of a rectangular prism and a pyramid. To find the volume of the entire shape you find the volume of each individual shape and add them together. The second figure consists of a cylinder and a hemisphere.

8 0
3 years ago
Read 2 more answers
15/8 + (-3 4/7) plz help me.
givi [52]
I think it’s -1.69642857143
4 0
3 years ago
Suppose the number of messages that an inbox receives may be modeled by a Poisson distribution. If the average number of message
docker41 [41]

Answer:

0.36427

Step-by-step explanation:

Mean = λ = 18 messages per hour

P(X = x) = (e^-λ)(λ⁻ˣ)/x!

P(X ≤ x) = Σ (e^-λ)(λ⁻ˣ)/x! (Summation From 0 to x)

But the probability required is that the messages thay come in an hour is between 15 and 20, that is, P(15 < X < 20)

P(15 < X < 20) = P(X < 20) - P(X ≤ 15)

These probabilities will be evaluated using a cumulative frequency calculator.

P(X < 20) = 0.65092

P(X ≤ 15) = poissoncdf(18, 15) = 0.28665

P(15 < X < 20) = P(X < 20) - P(X ≤ 15) = 0.65092 - 0.28665 = 0.36427.

You can use the Poisson distribution calculator here

https://stattrek.com/online-calculator/poisson.aspx

4 0
2 years ago
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