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1 year ago

Is x% of y is always the same as y% of x

Mathematics

1 answer:

11Alexandr11 [23.1K]1 year ago

7 0

Answer:

True

Step-by-step explanation:

Firstly, “ % ” means percent, which, as it name says, is the amount of the number per 100 .

Take 5% for instance, 5 percent would mean 5/100

Likewise, x%=x/100

Now x% of y means x/100×y=xy/100

but also, y% of x means y/100×x=yx/100

and therefore these two are the same!

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121 meals / 11 days find the unit rate

tatyana61 [14]

Answer:

11 meals per day

Step-by-step explanation:

In order to find the unit rate all we have to do is 121/11 which is 11. Therefore its 11 meal meals per day. Have a blessed day!

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2 years ago

What is the vertex of the graph of y = 2(x − 3)2 + 4?

Katarina [22]

In the form y=a(x-h)^2+k
the vertex is (h,k

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3 years ago

Need help with this problems<br>E=10gh<br>solve for g

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Solve for g:
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2 years ago

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Dafna1 [17]

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Step-by-step explanation:

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2 years ago

Solve each quadratic equation by completing the square. 6. x2 + 2x = 8 7. x2 - 6x = 16 8. x2 - 18x = 19 9. x2 + 3x = 3 10. x2 +

Andrei [34K]

Lets get started :)

These questions have asked us to solve by completing the square.
How do we? I have attached a picture, which will explain

6. x² + 2x = 8
→ b is the coefficient of x, which is 2
→ We take half of 2 and square it. Then, we add it to either side

x² + 2x $+ (\frac{2}{2} )^2 = 8 + ( \frac{2}{2})^2$
x² + 2x + 1 = 8 + 1
( x + 1 )( x + 1 ) = 9
( x + 1 )² = 9
$\sqrt{( x + 1 )^2} = \sqrt{9}$
x + 1 = + 3 or x + 1 = - 3
x = 2 or x = - 4

7. x² - 6x = 16

→ We do the same thing we did in the previous question

x² - 6x + $(\frac{6}{2})^2 = 16 + (\frac{6}{2})^2$
x² - 6x + 9 = 16 + 9
(x - 3)² = 25
$\sqrt{(x-3)^2} = \sqrt{25}$
x - 3 = + 5 or x - 3 = - 5
x = 8 or x = - 2

8. x² - 18x = 19

x² - 18x + $( \frac{18}{2} )^2 = 19 + ( \frac{18}{2})^2$
x² - 18x + 81 = 19 + 81
( x - 9 )( x - 9 ) = 100
( x - 9 )² = 100
$\sqrt{(x-9)^2} = \sqrt{100}$
x - 9 = + 10 or x - 9 = -10
x = 19 or x = - 1

9. x² + 3x = 3

x² + 3x + $( \frac{3}{2} )^2 = 3 + (\frac{3}{2} )$
$x^2 + 3x + \frac{9}{4} = 3 + \frac{9}{4}$
$x^{2} + 3x + \frac{9}{4} = \frac{21}{4}$
$(x^2 + \frac{3}{2} ) ( x^2 + \frac{3}{2} ) = \frac{21}{4}$
$( x^2 + \frac{3}{2} )^2 = \frac{21}{4}$
$\sqrt{ x^2 + \frac{3}{2} } = \sqrt{ \frac{21}{4} }$
x + $\frac{3}{2}$ = + $\frac{ \sqrt{21} }{2}$ or x + $\frac{3}{2} = - \frac{ \sqrt{21} }{2}$
x = $\frac{-3+ \sqrt{21} }{2}$ or x = $\frac{-3 - \sqrt{21}}{2}$

7 0

2 years ago

Is x% of y is always the same as y% of x​

Is x% of y is always the same as y% of x