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Ilia_Sergeevich [38]
3 years ago
11

Slove 3x+9=2x+24 must show work!

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
6 0

Answer:

x=15

Step-by-step explanation:

3x+9=2x+24

x=24-9

x=15

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A cube has a volume of 64. What is the length of one side of the cube?
bearhunter [10]

Answer:

4

Step-by-step explanation:

The volume of a cube can be represented as s^3 = v, where s = side and v = volume. In this case, we're given the volume as 64, so s^3 = 64. To solve this problem, we first have to know what a cube root is.

What's a cube root?

  • The cube root of a number is the number you multiply by itself 3 times to get another number.
  • One common cube is 27, and the cube root of it is 3 because 3 x 3 x 3 = 27.

Given the information above, let's go in order with the list of cube roots to see which one has a cube of 64.

  • 1: 1 x 1 x 1 = 1.
  • 2: 2 x 2 x 2 = 8.
  • 3: 3 x 3 x 3 = 27.
  • 4: 4 x 4 x 4 = 64. (This is the cube root!)

We found the cube root of 64, or the side of the cube with a volume of 64. The side of the cube, therefore, is 4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

3 0
3 years ago
The waiting time at an elevator is uniformly distributed between 30 and 200 seconds. What is the probability a rider must wait b
serg [7]

Answer:

17.65% probability a rider must wait between 1 minute and 1.5 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is between c and d is given by the following formula

P(c \leq X \leq d) = \frac{d - c}{b - a}

For this problem, we have that:

a = 30, b = 200, c = 1*60 = 60, d = 1.5*60 = 90

P(60 \leq X \leq 90) = \frac{90 - 60}{200 - 30} = 0.1765

17.65% probability a rider must wait between 1 minute and 1.5 minutes

7 0
3 years ago
HELP HELP REALLY NEED HELP
Ghella [55]
Volume of Rectangle =  (Area of Base)(Height)
Volume of Square Pyramid = (1/3) (Area of Base)(Height)

The prism is 3 times larger than the pyramid
Answer: C
7 0
4 years ago
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Simplify the expression: (-3x - 8)(-x+4)
SashulF [63]

Answer:3

Step-by-step explanation:

4 0
4 years ago
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The time it takes to travel to a destination varies inversely with the average speed. It takes two hours when the average speed
777dan777 [17]

4hour.

<h3>Justification:</h3>

<u>We are given time takes to travel is inversely with an average speed</u>.

  • When average speed is 40mph, it takes 2hour.

Then,

<u>If average speed is 80mph, let time taken be x</u>:

  • 40/2 = 80/x
  • 40x = 160
  • x = 160/40
  • x = 4

<u>Hence, it takes 4 hour to travel to a destination with 80mph</u>.

7 0
3 years ago
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