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prisoha [69]
3 years ago
14

The sum of 2 even numbers is 234 . Write and equation and solve for the numbers

Mathematics
2 answers:
timurjin [86]3 years ago
8 0

Answer:

116 and 118.

Step-by-step explanation:

Let x be our first even number, so our second even number would be x+2.

We have been given that sum of two even numbers is 234. This means x and x+2 add up-to 234.  We can represent this information in an equation as:

x+x+2=234

Let us solve for x.

2x+2=234

2x+2-2=234-2

2x=232

Now, we will divide both sides of our equation by 2.

\frac{2x}{2}=\frac{232}{2}

x=116

Therefore, 1st even number is 116.

To find second even number, we will add 2 to 116.

x+2\rightarrow 116+2=118

Therefore, 2nd even number is 118.

Maurinko [17]3 years ago
7 0
2 even numbers....x and x + 2

x + x + 2 = 234
2x + 2 = 234
2x = 234 - 2
2x = 232
x = 232/2
x = 116 <===

x + 2 = 116 + 2 = 118 <==
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Answer is D

After dilation the image remain same but it is stretched or shrinked to the original size.

That means the ratio of the sides and the angles between the sides remain same .

Here we did dilation of ABCD which made it to EFGH.

Hence the ratio of the corresponding sides of the original rectangle ABCD should remain same even after dilation.

the corresponding sides are : AB and EF

BC and FG

CD and GH

DA and HE

* Let us find ratio of the sides AB and BC

given that AB= 10 and BC= 14

AB/BC= 10/14 = 5 /7 ( 10 and 14 both are multiple of 2 so we reduced them by a factor of 2 )

* the raio of the corresponding sides EF and FG should be same ( 5/7)

in the option D EF= 25 and FG= 35

so EF/FG= 25/35 = 5 /7 ( both are multiple of 5 so we reduced them by the factor of 5 )

Since ratio of the corresponding sides are coming out to be same for the EFGH given in option D it should be the dilation of the ABCD

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5-52: the first card selected from a standard 52-card deck is a king. a. if it is returned to the deck, what is the probability
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Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability.

The probability of getting a king card is 1/13 or 0.077.

<h3>What is meant by probability?</h3>

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given: Total number of probability - 52

Now, the first selected card is king and it is returned to the deck.

So it contains no effect on the second selection card.

Then, we have to estimate probability to obtain a king

probability = favourable outcomes for a king / total possible outcomess

= 4 king cards / 52 cards in total

= 4 / 52 = 1 / 13

The probability of getting a king card is 1 / 13 or 0.077

Therefore, the correct answer is option B. 1/13, or 0.077.

The complete question is:

The first card selected from a standard 52-card deck was a king. It isreturned to the deck, what is the probability that a king will be drawn on the second selection?

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B. 1/13, or 0.077

C. 12/13, or 0.923

D. 1/3 or 0.33

E. None of the above​

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