One number is 5 times another. The sum of their reciprocals is 2/5. Determine the smaller number.

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Answer 1
Answer: so x=5y
reciprocal of x=1/x then

sum of reciprocals means 1/x+1/y=2/5
subsitute x=5y for x in 1/x+1/y=2/5 and get
1/5y+1/y=2/5
multiply 1/y by 5/5 to make it 5/5y so you can add since the denomenators (bottom number) are the same

1/5y+5/5y=2/5
6/5y=2/5
multiply both sides by 5y
6=2y
divide both sides by 2
3=y
put this into x=5y so 
x=5(3)
x=15
y=3

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What are the values of x in the equation x(x-6)=4(x+6)

Answers

x(x-6)=4(x+6)\ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\n\nx(x)+x(-6)=4(x)+4(6)\n\nx^2-6x=4x+24\ \ \ \ |subtract\ 4x\ and\ 24\ from\ both\ sides\n\nx^2-10x-24=0\n\nx^2-12x+2x-24=0\n\nx(x-12)+2(x-12)=0\iff(x-12)(x+2)=0\n\ntherefore\n\nx-12=0\ or\ x+2=0\n\nAnswer:\boxed{x=12\ or\ x=-2}
        x(x - 6) = 4(x + 6)
    x(x) - x(6) = 4(x) + 4(6)
         x² - 6x = 4x + 24
             - 4x  - 4x        
       x² - 10x = 24
x² - 10x - 24 = 24 - 24
x² - 10x - 24 = 0
x = -(-10) +/- √((-10) - 4(1)(-24))
                         2(1)
x = 10 +/- √(100 + 96)
                   2
x = 10 +/- √(196)
                2
x = 10 +/- 14
            2
x = 5 + 7
x = 5 + 7    U    x = 5 - 7
x = 12               x = -2
The values of x in the equation is either equal to 12 or -2.

Papsdamatrix here is this picture​

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The answer is halogen
excuse the other person saying u need a bigger brain, u don’t

Help please i’ve been stuck for over an hour

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This is your answer. Thank!

Help me please cant figure it out
D;

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supplementary angles sum up to 180°, so let's say we have two angles, a and b, a + b = 180, but we know that a is twice the measure of her partner, so a = 2b.


Write 22.056 in an expanded form

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We know the first place after decimal is tenths

The second place after decimal is hundredths

The third place after decimal is the thousandths place

So for 0.056

0 is at the tenths place

5 is at the hundredths place

and 6 is at the thousandths place

Expanding 22.056 we get

22.056 = 20 + 2 + 0.05 + 0.006

OR

22.056 = 20+2+(5)/(100)+(6)/(1000)


20.000 + 2.000 + .050 +.006

There are 420 children in a school. 45% of the pupils are boys. How many boys are there?
How many girls are there?

Answers

1 \% = (1)/(100) \n \n 45 \% =(45)/(100)=(9)/(20)\n \n total \ children : 420 \n \n boys : \n \n420 \cdot 45 \% = 420 \cdot (9)/(20)= 21\cdot 9 =189 \n \n girls : \ \n \n 420 -189 = 231
total children = 420
boys = 45% of 420 = 189 boys
Girls = (100-45)% = 55% of 420 = 231 boys