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UkoKoshka [18]
3 years ago
11

(Before you answer I am looking for how I do it. I have the answers but I need to know an equation to do this instead of using l

ogic)
The sum of two consecutive even numbers is 30. How can you solve for the 2 numbers?
Mathematics
1 answer:
Tema [17]3 years ago
7 0

Answer:

14 and 16.

Step-by-step explanation:

We know that two consecutive even numbers is 30.

Let's let n be <em>any number</em>.

Then the first <em>even</em> number must be 2n.

This is because n can be any number, either even or odd. However, if we multiply it by 2, this <em>ensures</em> that 2n is even. Remember that any number multiplied by 2 yields an even number.

Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.

We know that they sum to 30. So, we can write the following equation.

(2n)+(2n+2)=30

And we solve from there:

4n+2=30\\\Rightarrow4n=28\\\Rightarrow n=7

So, the value of n is 7.

Therefore, the first even number is 7(2)=14.

And the consecutive even number is 16.

Edit: Typo

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Translate the following into an algebraic expression: A number is 30% of 20% of the number x.
bezimeni [28]

Answer: 0.06x

Step-by-step explanation:

  • An algebraic expression is an expression consist of integer constants, variables, and algebraic operations.

The given statement:  A number is 30% of 20% of the number x.

The required algebraic expression would be:

30% of 20% of x

=\dfrac{30}{100}\times \dfrac{20}{100}\times x  [we divide a percentage by 100 to convert it into decimal]

=\dfrac{6}{100}\times x\\\\=0.06x

Hence, the required algebraic expression would be :

0.06x

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3 years ago
Can guys please help me, please solve E
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Answer:

Step-by-step explanation:

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3/2

<em>Step One:</em> 1 3/8, transform the number into a improper fraction:

  1. To have a mixed number in to a improper fraction, you need to use            addition and multiplication.  For 1 3/8, We first multiply the denominator (8, also know to be the bottom number of the fraction) to the whole number (1).  8x1= 8
  2. NOTE: The original denominator (8) will be use for are improper, again playing as the denominator, we only multiply the denominator for the numerator (which is the top number of a fraction).
  3. After multiplying, we'll add are product with the numerator (3) for the process. 8+3= 12
  4. Now we have both numerator and denominator for 1 3/8, we can create the improper fraction. 12 as the numerator and 8 as the denominator. 12/8
  5. We still need to simplify the number. To that, we need the biggest whole number, or rather I call it the lowest number, that can be divide both in 12 and 8.
  6. 4 can be divide by both number so: 12/4= 3 and 8/4=2
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Step-by-step explanation:

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it 68.9

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