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lbvjy [14]
3 years ago
5

Rational numbers can be written as fractions? Always Sometimes Never

Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0

Answer:

Always.

Step-by-step explanation:

Rational numbers are numbers that can be written as a fraction OR a decimal

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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
What is 7/24 by 35/38
Monica [59]
<span><span>If you would like to </span>divide 7/24 by 35/38, you can calculate this using the following steps:<span>

7/24 / 35/38 = 7/24 * 38/35 = (7 * 38) / (24 * 35) = 19/60

<span>The correct result would be </span>19/60<span>.</span></span></span>
7 0
3 years ago
If Shannon wants to fill a spherical balloon so that it has a circumference of 8π in, how much air will she need to use to fill
lapo4ka [179]

The Volume of air needed for a spherical balloon of radius 4 inch and circumference 8π is 85.3 cubic inch

<h3>Volume of Sphere</h3>

Given Data

  • Circumference = 8π

Let us find radius

circumference = 2πr

8π = 2πr

8 = 2r

r = 8/2

r = 4 inch

Let us find the volume of the sphere

Volume = 4/3πr^3

Volume = 4/3* π*4^3

Volume = 4/3*π64

Volume = 256π/3

Volume = 85.3 cubic inch

Learn more about volume of sphere here:

brainly.com/question/22807400

4 0
2 years ago
Yolanda has finished 45 percent of her homework and she has finished 27 problems. How many problems was Yolanda assigned
masya89 [10]
If 45 percent of the homework is only 27 problems, she needs to figure out this:

What is 47 percent of 60?
              or
47% x 60

Which is 27. 

So, Yolanda was assigned 60 problems.


6 0
2 years ago
Need help on this questionnn
Alona [7]

The second option is the answer

5 0
2 years ago
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