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3 years ago

The sum of two numbers is 60 and the difference is 2 what are the numbers.

2 answers:

7 0

Let the two numbers be x and y
Then
x + y = 60
And
x - y = 2
x = y + 2
Putting the value of x in the first equation we get
x + y = 60
y + 2 + y= 60
2y + 2 = 60
2y = 60 - 2
2y = 58
y = 58/2
y = 29
Now putting the value of y in the first equation we get
x + y = 60
x + 29 = 60
x = 60 - 29
x = 31
So the value of the two numbers comes out to be 31 and 29. I hope the procedure is clear enough for you to understand.

Kisachek [45]3 years ago

5 0

31 and 29 because 31 plus 29 is 60 and 31 minus 29 is 2

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Which value for __ makes the equation true?

Anastaziya [24]

Answer:

Step-by-step explanation:

If you convert the equation you get

20/100=x/10

and convert the 20/100

so 2/10=x/10 so A or 2

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3 years ago

Read 2 more answers

In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent (Pew Research, June 5, 2014). An independe

enot [183]

Answer:

$n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2$ , in which z is related to the confidence level.

b) A sample size of 991 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent

This means that $\pi = 0.16$

a. What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03 (round up to the next whole number).

This is n for which $M = 0.03$ . So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = z\sqrt{\frac{0.16*0.84}{n}}$

$0.03\sqrt{n} = z\sqrt{0.16*0.84}$

$\sqrt{n} = \frac{z\sqrt{0.16*0.84}}{0.03}$

$(\sqrt{n})^2 = (\frac{z\sqrt{0.16*0.84}}{0.03})^2$

$n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2$ , in which z is related to the confidence level.

Question b:

99% confidence level,

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

$n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2$

$n = (\frac{2.575\sqrt{0.16*0.84}}{0.03})^2$

$n = 990.2$

Rounding up

A sample size of 991 is needed.

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3 years ago

The length of a rectangle is three more than twice the width. Find the width and the length if the perimeter is 84 f

Naddik [55]

$\text{Hello! :D}$

$\boxed{\text{width = 13ft, length = 29ft}}$

$\text{ Let the width = "w":}\\\\\text{Write an expression to represent the length in terms of "w":}\\\\l = 2w + 3\\\\\text{Formula of a rectangle: } \\\\P = 2l + 2w\\\\\text{Therefore:}\\\\84 = 2(2w + 3) + 2(w)\\\\84 = 4w + 6 + 2w\\\\84 = 6w + 6\\\\\text{Subtract 6 from both sides:}\\\\78 = 6w\\\\\text{Divide both sides by 6:}\\\\78/6 = 6w/6\\\\w = 13ft\\\\\text{Plug this value of "w" into the equations for the length:}\\\\l = 2(13) + 3\\\\l = 26 + 3\\\\l = 29ft$

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4 years ago

Check whether (0, -2) is solution of the equation x - 2y = 4 or not

kaheart [24]

Answer:

Step-by-step explanation:

Plugin x = 0 & y = -2 in the LHS of the equation. After substituting, if you get the RHS, then this point is the solution of the equation.

x - 2y = 0 - 2*(-2)

= 0 + 4

= 4 = RHS.

(0,-2) is solution of the equation.

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3 years ago

Solve for y.<br> y/3 +12=39<br> Simplify your answer as much as possible.

Nastasia [14]

Y/3 +12 = 39

y/3 = 39-12

39-12 = 27
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y = 81

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4 years ago