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Alex787 [66]
3 years ago
10

4.125... rational or irrational

Mathematics
2 answers:
Zielflug [23.3K]3 years ago
6 0

The answer is rational.

erik [133]3 years ago
5 0

rational because it can be made into a fraction unlike

87.262678275368

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The smiths have two children. The sum of their ages is 23. The produce of their ages is 132. How old are the children?
kolezko [41]

For this case we propose a system of equations:

x: Let the variable representing the age of the first child of the Smiths

y: Let the variable representing the age of the second child of the Smiths

According to the data of the statement we have to:

x + y = 23\\x * y = 132

From the first equation we have to:

x = 23-y

We substitute in the second equation:

(23-y) * y = 132\\23y-y ^ 2 = 132\\y ^ 2-23y + 132 = 0

We find the solutions by factoring:

We look for two numbers that, when multiplied, result in 132 and when added, result in 23. These numbers are 11 and 12.

Thus, we have that the factorized equation is:

(y-11) (y-12) = 0

Thus, the solutions are:y_ {1} = 11\\y_ {2} = 12

So, we can take any of the solutions:

With y = 11

Thenx = 23-11 = 12

Therefore, the ages of the children are 11 and 12 respectively.

Answer:

 The ages of the children are 11 and 12 respectively.

6 0
3 years ago
Which of the following statements must be true based on the diagram below? Select
pentagon [3]

The question is an illustration of equivalent ratios and similar triangles.

<em>The true option is: </em>\frac{WU}{WV} = \frac{UR}{VS}<em />

From the diagram, we have:

WU =  UR ---- This is so because both lines are marked once

Also, we have:

WV = VS ---- This is so because both lines are marked twice

Divide both equations

\frac{WU}{WV} = \frac{UR}{VS}

Hence, the true option is: \frac{WU}{WV} = \frac{UR}{VS}

Read more about similar triangles at:

brainly.com/question/19739157

8 0
3 years ago
What is the difference 1/8 - 3/10 a.17/40 b.7/40 c.-3/40 d.7/40
UNO [17]

Answer:

c

Step-by-step explanation:

8 0
2 years ago
83 tens times 2 tens
gizmo_the_mogwai [7]

Answer:

16600 should be the answer.

Step-by-step explanation:

because 830 times 20 is 16600.

hope i helped

6 0
3 years ago
what is the distance between the points (23,-33) and (4,9) if necessary round your answer to two decimal places
Rufina [12.5K]

The distance between the points (23,-33) and (4,9) rounded to two decimal places is 46.10.

<h3>What is the distance between the points (23,-33) and (4,9)?</h3>

The distance between two points on a graph can be determined using the equation;

D = √[ ( x₂ - x₁ )² + ( y₂ - y₁ )² ]

Given that;

  • x₁ = 23
  • x₂ = 4
  • y₁ = -33
  • y₂ = 9

We substitute our values into the equation above.

D = √[ ( x₂ - x₁ )² + ( y₂ - y₁ )² ]

D = √[ ( 4 - 23 )² + ( 9 - (-33) )² ]

D = √[ ( -19 )² + ( 42 )² ]

D = √[ 361 + 1764 ]

D = √[ 2125 ]

D = 46.10

Therefore, the distance between the points (23,-33) and (4,9) rounded to two decimal places is 46.10.

Learn more about distance formula here: brainly.com/question/7592016

#SPJ1

7 0
2 years ago
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