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Let the  side  of  the  square = x

Then  let  the sides of the rectangle be  x  - 4   and  x + 4

Area of square  =   x^2

Area of  rectangle  =  ( x + 4)  ( x - 4)  =  x^2  -  16

Difference in  areas    x^2  - ( x^2  - 16)  =      16

Set  the  equations equal

x^2   =  3x  +  10     rearrange  as

x^2  -3x  - 10  = 0  factor

(x - 5) ( x + 2)  = 0

x - 5  = 0                                 x +  2 =   0 

x  =5   y  = 25                          x =  -2    y  = 4

Points of  intersection   ( 5, 25)  and  ( -2, 4)

Carson is obv India

Kurt is Malaysia

and Teddy is Vietnam

(I think)

6 tuna   +  6 turkey  = 30     divide  through by 6  ⇒  1 tuna  + 1 turkey  =  5  ⇒ 1 tuna = 5 - 1 turkey   (1)

4 tuna  +   8  turkey  =  30.60    (2)

Sub  (1)  into (2)

4 ( 5  - 1 turkey)  +  8 turkey =   30.60     simplify

20  - 4 turkey +  8 turkey   =  30.60

4 turkey  =  30.60  - 20

4 turkey   = 10.60

turkey =  10.60  /4      =  $2.65   = cost of a turkey

tuna -  5  - 2.65  =  $2.35 =  cost  of a tuna

Multiply the first number by 3   .... then add three to get the second number

2 * 3   + 3 = 9     etc

👉👈

Hey there, Guest!

You prob already saw EP's answer; I agree, you could use a calculator, but I'll walk you step-by-step through this instead.

\(30^3=27000\rightarrow\)\(\sqrt[3]{27000+40^3+50^3}\)

\(40^3=64000\rightarrow\)\(\sqrt[3]{27000+64000+50^3}\)

\(50^3=125000\rightarrow\)\(\sqrt[3]{27000+64000+125000}\)

\(\mathrm{Add\:the\:numbers:}\:27000+64000+125000=216000\rightarrow\)\(\sqrt[3]{216000}\)

\(\mathrm{Factor\:the\:number:\:}\:216000=60^3\rightarrow\)\(\sqrt[3]{60^3}\)

\(\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a\) and then we get our answer, 60.

Hope this helped! :)

( ﾟдﾟ)つ Bye

Sorry, I don't know anything about DNA.

Hey there, Guest!

For this question, we have to find the LCM of 12 and 16.

We can make a chart to see the first number that they have in common:

Ah, and there we have it, 48 is our answer.

Hope this helped! :)

( ﾟдﾟ)つ Bye

Hey there, Guest!

Now let's answer these questions.

a) 50+3= $53

b) 50-17.5= $32.5

c) 32.5+1.95= $34.45

And now we're done.

Hope this helped! :)

( ﾟдﾟ)つ Bye

Hey there, Guest!

Alright, now let's solve these problems!

1.) \(20x - 14 + 5x + 6\)

Combine Like Terms:

=20x+−14+5x+6

=(20x+5x)+(−14+6)

=25x+−8

2.) \(10 - 26y - 2y - 4\)

Combine Like Terms:

=10+−26y+−2y+−4

=(−26y+−2y)+(10+−4)

=−28y+6

3.) \(3 (6w+9)\)

=(3)(6w+9)

=(3)(6w)+(3)(9)

=18w+27

4.) \(\left(12x-6\right)3\)

=(12x+−6)(3)

=(12x)(3)+(−6)(3)

=36x−18

Hope this helped! :)

( ﾟдﾟ)つ Bye

0.85=0.850

since these are equal, we find that 0.085, or the carrot, was the shortest

There are 3 possible values of k.

sixty.    Just use a calculator....

How many did she use   ?      12 * 1/3   +   12 *  7/12 = 11 used    so   one left over or  1/12

the fraction he must answer correctly   is  .85     or    85 /100 = 17/20

17/20 * 50 = ~ 43 questions

Compute the domain of the real-valued function \( f(x) = \sqrt{1 + \sqrt{2 - \sqrt{x}}}.\)

Hello Guest!

\(\mathbb D = \mathbb R|\ 0\ge x\ge4\)

  !

a)  y = max height = 12

      x = point of max height = 18

b)   vertex form of parabola

          y =a (x-18)^2 + 12

      0 = a ( 324) + 12              ( at x = 0   y = 0     so calculate  'a' values here)

-12/384 = a = - 1/32

y = - 1/32 (x-18)^2 + 12

2.2 = - 1/32 (x-18)^2 + 12        What value of x  produces a y value of 2.2 m ?

x = 35.70 m   from kickoff point       this ignores air friction  and assumes the ground is level playing field

3 /5   x = 33

x = 33 *  5/3 = 55

77 - x  = 2 (61-x)

x = 45

You're correct...

The solutions are 0, 1, and 2.

Hey there, Guest!

So there are 12 performers and 2 animal trainers.

2/12, and then we simplify that to become 1/6.

And then that's our answer.

Hope this helped! :)

( ﾟдﾟ)つ Bye