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viva [34]
2 years ago
14

numbers%3F" id="TexFormula1" title="The sum of two numbers is57 and the difference is3 . What are the numbers?" alt="The sum of two numbers is57 and the difference is3 . What are the numbers?" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
gogolik [260]2 years ago
6 0

Answer:

The numbers are 27 and 30

Step-by-step explanation:

The two numbers are x and y

x+y = 57

x-y = 3

Add the two equations together to eliminate y

x+y = 57

x-y = 3

---------------

2x = 60

Divide by 2

2x/2 = 60/2

x = 30

x+y = 57

30 + y = 57

y = 57-30

y = 27

The numbers are 27 and 30

Sedaia [141]2 years ago
6 0

The sum of two numbers is 57, and the difference is 3.

Give each number a variable (as you do not know what they are): x , y

Set the equations:

"The sum of two numbers is 57": x + y = 57

"The(re) difference is 3": x - y = 3

Isolate one of the variables in the second equation. Add y to both sides:

x - y (+y) = 3 + y

x = 3 + y

Plug in "3 + y" for x in the first equation:

3 + y + y = 57

Simplify. First, combine like terms:

3 + (y + y) = 57

3 + 2y = 57

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS*.

*PEMDAS is the order of operation.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 3 from both sides:

2y + 3 = 57

2y + 3 (-3) = 57 (-3)

2y = 57 - 3

2y = 54

Next, divide 2 from both sides:

(2y)/2 = (54)/2

y = 54/2

y = 27

Plug in 27 for y in one of the equations:

x = 3 + y

x = 3 + (27)

x = 3 + 27

x = 30

x = 30 , y = 27 is your answer.

~

Check:

"The sum of two numbers is 57": x + y = 57

30 + 27 = 57

57 = 57 (True)

"The(re) difference is 3": x - y = 3

30 - 27 = 3

3 = 3 (True)

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3 0
3 years ago
Solve for the missing side. Round to the nearest tenth.<br> 10<br> 50°<br> х
s344n2d4d5 [400]

Answer:

15.6

Step-by-step explanation:

8 0
3 years ago
In a chemistry lab, you have 2 vinegars. One is 5% acetic acid, and one is 6.5% acetic acid. You want to make 200 ml of a vinega
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We have 5% and 6.5% acetic acid solutions and we need 200 ml of 6% acetic acid.
Set up two equations:
f means 5% and s means 6.5%
A) f + s = 200
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Multiplying equation A by -.05
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8 0
3 years ago
Subject - Maths
Digiron [165]

Answer:

<h3>Ur answer refer to above attachment </h3><h3>Hope this help u XD ✌️</h3>

<h3>Not copied answer </h3>

<h2>ItzSneha~</h2>

5 0
2 years ago
Stereo speakers are manufactured with a probability of 0.100.10 being defective. TwentyTwenty speakers are randomly selected. Le
olga nikolaevna [1]

Answer:

The expected value of X is 2 with a standard deviation of 1.34.

Step-by-step explanation:

For each speaker, there are only two possible outcomes. Either it is defective, or it is not. The probability of a speaker being defective is independent of other speakers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Stereo speakers are manufactured with a probability of 0.1 of being defective

This means that p = 0.1

Twenty speakers are randomly selected.

This means that n = 20

Let the random variable X be defined as the number of defective speakers. Find the expected value and the standard deviation.

E(X) = np = 20*0.1 = 2

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.1*0.9} = 1.34

The expected value of X is 2 with a standard deviation of 1.34.

6 0
3 years ago
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