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[YBC] / [ZYC] = 1/2

So x = \( {104 * 33 \over 13} = 264\)
So there are 264 seeets at first 

Suppose there are x sweets at first,

and Filip has y sweets.

  so: (1 - \( {1\over 11}\))x = y + \({1 \over 4}\)y.     
         \( {1\over 3}\)x = y - 104

 =>     \( {10 \over 11}x = {5 \over 4} y\)   =>   y = \( {4\over 5} • {10 \over 11}x = {8 \over 11}x\)
 Let    y = \( {8\over 11}\)x,    \( {1 \over 3}x = {8 \over 11}x - 104\)
        \({8 \over 11}x - {1 \over 3}x = 104\) => \(({8 \over 11} - {1 \over 3})x = {13 \over 33} = 104\)

[PQRS] = (√20 + √48)²  

Very simple, is it not? 

Sissy Jeremy lynch 

Set Zoe have x altogether,

Money for clothes : 1/3x

Money for magazines : (x - 1/3x) * 1/4

                                   = 1/6x

Money for gifts : (x - 1/3x - 1/6x) * 2/5 = 1/5x

        x - 1/3x - 1/6x - 1/5x = 54

                                  3/10x = 54    x = 180

Money for magazines = 1/6x = 180 * 1/6

                                              = 30

lol thats kinda advanced for a fifth grader.

Two digit numbers = 10-99

So there are (99-10+1) = 90 two digit numbers. 

In every 6 consecutive numbers, there is one divisable by 6.

Can you take it from here?

=^._.^=

Cool.....I forgot all about that !    Thanx , M !   

diameter of the circle is then   3/4 ( 100 000 light years) = 75 000 l-y  

circumference is then  pi*  75 000 l-y  

speed = d/ t   = 75 000 pi l-y / 2x10⁶  years         now you have to convert it to the units you want .... 

I think there is only two possibilities     HTHTHTHTHT    THTHTHTHTH   out of 2¹⁰     <===== you can finish

Here is the formula

or more genearally

But since its divided by 10 you need the last 2 digits

A mixture is 25% red paint, 30% yellow paint, and 45%water. If 4 quarts of red paint are added to 20 quarts of the mixture, what is the percentage of red paint in the new mixture?    

You're starting with 20 quarts, 25% of which is red,

therefore the original mixture contains 5 quarts of red. 

You add 4 quarts of red to the 20, making 24 quarts  

in the new mixture, which now contains 9 quarts of red. 

9 / 24 = 37.5% red in the new mixture.   

_.

Using geometric series and mod 10, the last digit is a 6, so the remainder is 6.

Solve the inequality 2x - 5 \(\leq\) -x + 12.

Hello Guest!

\(2x - 5 \leq -x + 12.\\ x\leq \dfrac{17}{3}\)

\(x\in \mathbb R\ |\ x\leq \frac{17}{3}\) 

  !

z

x - (x/3 + x/6 + x/5) = 54

x = 180

She spent on the magazines $30.

If one zero of the polynomial 3x^2 + 12x - k is reciprocal of the other , then find the value of k. ​

Hello Guest!

k = - 3

\(3x^2 + 12x - {\color{blue}(-3)}=0 \)

\(\color{blue}x\in \{-2-\sqrt{3},-2+\sqrt{3}\}\)    \(x\in \{-3.732051,-0.267949\}\)

\(-3.7323051=\dfrac{1}{-0.267949}\)     

  !