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ahrayia [7]
3 years ago
8

Which of the following is the product of the rational expressions shown below?

Mathematics
1 answer:
Anarel [89]3 years ago
7 0

Answer:

D

Step-by-step explanation:

A P E X

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Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I
lapo4ka [179]

Answer:

  • 48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

  • (10y + x)/3 + 20 = 10x + y
  • (10y + x)/3 = 10x + y - 20
  • 10y + x = 3(10x + y - 20)
  • 10y + x = 30x + 3y - 60
  • 30x - x + 3y - 10y = 60
  • 29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

  • 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

  • 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

<h3>If x = 3</h3>

  • 29*3 - 7y = 60
  • 87 - 7y = 60
  • 7y = 27
  • y = 27/7, discarded as fraction.

<h3>If x = 4</h3>

  • 29*4 - 7y = 60
  • 116 - 7y = 60
  • 7y = 56
  • y = 8

So the age is 48.

6 0
1 year ago
A.
Veronika [31]

Answer:

a

Step-by-step explanation:

y= 1/2 ^(x+4)

7 0
2 years ago
What is 17/21 - 2/10 = ___ - ___ = ____
umka2103 [35]

Step-by-step explanation:

step 1. 17/21 - 2/10 = x (in order to subtract you need a common denominator)

step 2. (17/21)(10/10) - (2/10)(21/21) = x

step 3. 170/210 - 42/210 = x

step 4. 128/210 = 64/105 = x

step 5. x = 64/105.

5 0
3 years ago
The record low for Florida is 2 degrees below zero Fahrenheit and was set on February 13, 1899. The record high is 109 degrees F
jarptica [38.1K]

Answer:

-2 and 109

Step-by-step explanation:

just put that

4 0
3 years ago
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If you flip a fair coin 10 times and it lands heads up 5 times, this would result in 50% probability of the coin landing heads u
Shtirlitz [24]
This is an example of empirical probability, although it gives the same ratio as a theoretical probability, because we based the result on our experiment
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