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1000

Indeed, the answer is between the values 8080/190 and 8080/199. try guessing which one!

Let

f(x) = 3x + 5 if x < -3

f(x) = 7x + 4 if x >= 3

Find f(5).

Hello Guest!

5 > 3

f(5) = 7x + 4 = 7 * 5 + 4

f(5) = 39

  !

If we are given x such that 25^x - 9^y = 16 and 5^x - 3^y = 2, find x + y.

Hello Guest!

\(25^x - 9^y = 16\\ 5^x - 3^y = 2\)

\(x=1\\ y=1\)

\(x+y=2\)

  !

On a Cartesian coordinate plane, points (1,2) and (7,-4) are opposite vertices of a square. What is the area of the square?

Hello Guest!

\(A=(y_1-y_2)\times (x_2-x_1)=(2-(-4))\times (7-1) \)

\(A=36\)

  !

What is the sum of the coordinates of the point you land upon?

Hello Guest!

\(y=\frac{6}{9}x\\ x= \frac{9}{4}=2.25\\ y=\frac{6}{9}\cdot \frac{9}{4}=1.5\\ \color{blue}y+x=1.5+2.25=3.75\)

  !

Fun questions are always good.  Thanks SmartCookiezZ

I answered the question at the original thread, maybe my solution is not the best, but I hope it would be helpful.

This isn't a question that could be solved very easily.

We try to list equations:

G = 1/7(M+K+J)

M = 3/4(K+J)

J = 2/5K

Let's Plug in:

M = 3/4(7/5K) = 21/20K,

G = 1/7(21/20K+K+2/5K) = 1/7(49/20K) = 7/20K

K = K

J = 2/5K

M = 21/20K

G = 7/20K

Now we split all of that $168 into these four parts. 4 parts combined is 56/20K, and thus K original has 168*20/56 = $60. J original has 168*8/56 =  $24

Now you can do the last step: $60 - $X = $24 + $X

Hopefully this proved to be helpful

75workers*4days = 300

50workers*Xdays = 300

that X is the answer

[ECODF] = [ABFE] - (4 + pi) = 4.1721159

angle A = 42 degrees

What real value of t produces the smallest value of the quadratic t^2 - 9t - 36 + 3t^2 - t + 10?

Hello Guest!

\(f(t)==4t^2-10t-26\\ \frac{df(t)}{dt}=8t-10=0\\ \color{blue}t=\dfrac{10}{8}=1.25\)

The value t = 1.25 produces the smallest value of the quadratic t^2 - 9t - 36 + 3t^2 - t + 10.

The smallest value is - 32.25.

  !

Why reposted?

Found it the same way SmartCookiezZ found it

To determine the amount Jean spent all together, we have to determine the cost of each of cupcakes sardine pies and pandan cakes. For this let S be the total money Jean have with her and let x be  the price of a sardine pies and . 

It is given that each cupcake cost twice as much as a sardine pie. Therefore cost of a cup cake will be 

2x. And it is also given that each pandan cake cost $4.50 more than a cupcake. Therefore the cost of a pandan cake will be 4.5+2x.

Now Jean spends 3/7^_th her money buying 2 cupcakes and 8 sardine pies. which can be represented as an equation as follows;

   3S/7 = 2(2x) + 8x

           = 4x + 8x

           = 12x

∴ 3S/7 = 12x ⋯⋯⋯⋯⋯ (1)

Now the remaining amount left with her will be;

S - 3S/7 = 7S - 3S/7

              = 4S/7

Now spends 3/4^th of this remaining money on 3 pandan cakes which can be represented as an equation as follows;

3/4 ⋅ 4S/7 = 3(2x + 4.5) 

        3S/7 = 6x + 13.5 ⋯⋯⋯⋯⋯ (2) 

Now right hand side of both equation (1) and (2) are the same. So equating the right hand side of the two equations and solving for x as follows;

      12x=6x + 13.5

12x - 6x=13.5

         6x=13.5

           x=13⋅5/6

             =2.25

Therefore the cost of a sardine pies is $2.25 
Therefore the cost of a cup cake is equal to;

2x=2⋅2.25

    =$4.5

And the cost of Pandan pie is equal to;
2x + 4.5=4.5 + 4.5

             =$9

Therefore the total amount spend in buying 2 cupcakes 8 sardine pies, and 3 Pandan cake is given by;

total amount = 2(2x) + 8x + 3(2x + 4.5)

                     = 2 ⋅ 4.5 + 8 ⋅ 2.25 + 3 ⋅ 9

                     = 54

Therefore the total amount she have spend is $54. 

a times b whole cube     

Do you mean "a times b quantity cubed"?   If so, that would be (ab)³.

one diagonal or both?