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Hello Guest,

\(x+3\%=600\)

\( 1.03 x = 600\)

\(\frac{1.03x}{1.03}=\frac{600}{1.03}\) .

"x" is equal to \(\frac{600}{1.03}\) .

Straight

AG:GH:HC = 5:11:4

Hi Melody,

I realize it's VERY VERY late to reply, the thing is I forget I have asked a question and sometimes only remember much later...really very sorry...Thank you for the answer....and it is really soooo easy....Like catmg has said, your diagrams are so very helpful....I do appreciate!

x/40   + 38/60 = x/32       solve for x

first, we should calculate the values of f(-2) and f(2) to be able to simplify the equation.

-2 is less than 0, so we're using the first function.

f(-2) = (-2)^2 - 2 = 4 - 2 = 2.

2 is greater than 0, so we're using the second function.

f(2) = 2(2) - 28 = 4 - 28 = -24

now let's plug it back into the equation and solve for a.

2 - 24 + f(a) = 0.

-22 + f(a) = 0

f(a) = 22.

since we now know what f(a) can be, we can work backwards using the two given functions.

let's start with the first function.

n^2 - 2 = 22

n^2 = 24

n = -sqrt(24) , as it's the only value less than 0 that satisfies the equation. (THOUGH: i'm not completely sure about this...)

second function,

2n - 28 = 22

2n = 50 

n = 25

so we get our difference to be 25 - (-sqrt(24)) which is 25 + sqrt24, or 25 + 2sqrt6.

i'm not completely sure about this answer though, hopefully it still helped you get some general idea of the problem - please let me know if you have any follow-up questions! 

you can notice that the arithmetic sequence increases by 2/3 each term.

in order to find the 8th term, we do 

2/3 + 7 * 2/3

= 2/3 + 14/3 

= 16/3

for future reference, the general formula for finding the nth term of an arithmetic sequence is: \(a_n = a_1 + (n-1)d\)

hope this helped! please let me know if you have any further questions :)

Adults => A          Boys => B            Girls => G

A + B + G => x

A = 1/4x  

B + G = 3/4          B : G = 4 : 11           (3/4) / 15 = 1/20

A = 5/20x

B = 4/20x

G = 11/20x

3(5x/20) + 4(4x/20) + 5(11x/20) = 1462

x = 340

Adults = 1/4(340) = 85 

Boys = 68

Girls = 187

Lets Assume, Veocity of Emily is 1 step per second.

Forward Journey:

Emily Travels 210 Steps, The Ship travels 210 - L_sh

Time taken in both cases 210 Sec. /

Hence: V_sh * 210 =  210 - L_sh

_==> V_sh  = 1 - (L_sh/ 210)

Reverse Journey:

As usual She takes 42 steps in 42 sec.

At 42nd Step she reached the other end of the ship, so the Ship Travels (L_sh  - 42 ) steps

Again: V_{sh =} (L_sh  - 42 ) / 42 =  (L_sh/ 42 ) - 1

1 - (L_sh/ 210) = (L_sh/ 42 ) - 1

Result L_sh = 70 Steps

Thanks

Krishna Korukonda

Flour =    560 / 70  *  1 3/8  kg    = 560 /70 * 1.375 = _________ kg

Sugar   = 560 /70  * (1 3/8 - 4/5) kg  = 560/70 * .575 = ________kg

this is from the amc 10a

Hello Guest,

A monomial is an expression with only one term. Hope this was helpful.

 !

\(\mathcal {Hello \mbox { Melody}, }\)

what is a member, is this like Alan, asinus or hectictar or something like that? 

Yes, I think that is good and cool, but what does this bring you?

\(\mathcal {Straight}\)

(Sorry for the aesthetic I just like this font xD ... )

What is the total surface area, in square inches?

Hello Guest!

\(A=(\sqrt[3]{8ft^3})^2\cdot 6=(2ft)^2\cdot 6=24ft^2\cdot\frac{144inch^2}{ft^2}=3456\ inch^2\)

  !

What is the length of the ship?

Hello Guest!

   \(\ v_{sh}\cdot t+L_{sh}\ =210\ steps\\ \underline{-v_{sh}\cdot t+L_{sh}=42\ steps} \)

                \(2\cdot L_{sh}=252\ steps\)

                     \(L_{sh}=126\ steps\)

The length of the ship is 126 steps from Emily.

  !

First you have to make 12 1/2  and also 3 3/4  into improper fractions.

Try doing that before I continue :)

If the cup cakes are all identical then I think the answer is 10

I think you have to think of the packets being different, maybe different colours.

There is only 1 way to put four cupcakes in each one.

But there are  5!/3!  = 10 ways to put   5,3,4,4,4 cupcakes in them.

I am not certain of my logic but it sounds ok to me.

Area = 4√27 square units

AD/2 = 2/24

AD = 1/6

Rather than just telling us what you 'put in' you could tell us how you found 157??

anyway, you have p+q=pq    and   p-q=7

so

p= 7+q

7+q+q = q(7+q)

Now solve it as a quadratic equation to find p and q and to do all the substitutions.

I have done it, but i have not checked imy answer, and the arithmetic in it is horrible.

But it is just a matter of slugging it out.

If you want more help it is up to you to demonstrate how far you can get on your own.

For what values of y does the following equation have no solutions for x?

xy + 4x + 2y + 8 = 1

Hello Guest!

\(xy + 4x + 2y + 8 = 1\\ xy+4x=1-8-2y\\ x=-\dfrac{2y+7}{y+4}\)

For y = - 4 does the equation have no solutions for x.

  !

I think you misunderstood the problem Guest

Try Simon's Favorite Factoring Trick. Research it online

5×4=20 and 5+3+4+4+4=20 so both can be the answer 

You can buy 12 inches of wire for 48 cents.

Explanation:

As 19 inches of wire costs 76 cents

1 inch of wire costs 76/19=4 cents

Hence, for 48 cents,

You can buy 48/4=12 inches of wire.

4 *sqrt 18     simplify .....