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nevsk [136]
3 years ago
10

Which pairs of rational numbers are equivalent? Select all that apply.

Mathematics
2 answers:
ser-zykov [4K]3 years ago
8 0
-0.5 is equivalent to - 1/2
Rzqust [24]3 years ago
5 0

Answer:

a

c

d

Step-by-step explanation:

get a calculator and dived each fraction if it matches the the decimal number it apply

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In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the s
MaRussiya [10]

Answer:

The mentioned number in the exercise is:

  • <u>362</u>

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

  • x = hundredths digit
  • y = tens digit
  • z = ones digit

We can write:

  1. x = z + 1 (the hundreds digit is one more than the ones digit).
  2. y = 2x (the tens digit is twice the hundreds digit).
  3. x + y + z = 11 (the sum of the digits is 11).

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

  • x + y + z = 11
  • (z + 1) + y + z = 11 (remember x = z + 1)
  • z + 1 + y + z = 11
  • z + z +y + 1 = 11 (we just ordered the equation)
  • 2z + y + 1 = 11 (z + z = 2z)
  • 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
  • 2z + y = 10
  • 2z + (2x) = 10 (remember y = 2x)
  • 2z + 2x = 10
  • 2z + 2(z + 1) = 10 (x = z + 1 again)
  • 2z + 2z + 2 = 10
  • 4z + 2 = 10
  • 4z = 10 - 2
  • 4z = 8
  • z = 8/4
  • <u>z = 2</u>

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

  • x = z + 1
  • x = 2 + 1
  • <u>x = 3</u>

And we'll use the second equation to obtain the value of y (the tens digit):

  • y = 2x
  • y = 2(3)
  • <u>y = 6</u>

Organizing the digits, we obtain the number:

  • Number = xyz
  • <u>Number = 362</u>

As you can see, <em><u>the obtained number is 362</u></em>.

8 0
3 years ago
Simplify the expression 18x^2/3x^6 .
sammy [17]

Answer:

6/x^4

Step-by-step explanation:

7 0
2 years ago
What is the probability that a randomly selected male will have a foot length between 8 and 12.5 inches? P(8 &lt; r &lt; 12.5)=
melisa1 [442]

Answer:

0.8185 or 81.85%

Step-by-step explanation:

The mean length (μ) of an adult foot is 11 and the standard deviation (σ) is 1.5.

The z score is a measure in statistic used to determine the amount of standard deviation by which the raw score (x) is above or below the mean. If the raw score is above the mean, the z score is positive  and if the raw score is below the mean the z sore is negative. It is given by:

z=\frac{x-\mu}{\sigma}

To calculate the probability that a randomly selected male will have a foot length between 8 and 12.5 inches, we first calculate the z score for 8 inches and then for 12.5 inches.

For 8 inches:

z=\frac{x-\mu}{\sigma}=\frac{8-11}{1.5}=-2

For 12.5 inches:

z=\frac{x-\mu}{\sigma}=\frac{12.5-11}{1.5}=1

From the normal distribution table, The probability that a randomly selected male will have a foot length between 8 and 12.5 inches = P(8 < x < 12.5) = P(-2 < z < 1) = P(z < 1)  - P(z < -2) = 0.8413 - 0.0228 = 0.8185 = 81.85%

4 0
3 years ago
What is the correct answer can you guys help me I really need help on this?? Please
luda_lava [24]
The answer is 192 y^8.

(4y^2)^3 = 64y^6

64y^6 • 3y^2= 192y^8

When “multiplying” a number with an exponent, you add the 2 exponents.
3 0
3 years ago
What type of number can be written as a fraction a over b where a and b are integers and b is not equal to zero ?
LekaFEV [45]

What type of number can be written as a fraction a over b where a and b are integers and b is not equal to zero ?

The answer is integers.

Examples of integers: 5, -8, 6/9, 100, -4/2

Happy to help!

7 0
3 years ago
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