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I'd love to. :)))

$5/4 = $1.25 per box

$4/5 = $.80 per box. 

.45/1.25 = .36

So a 36% discount is closest to B. 

I hope this helped. :)))

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Let N  be  the first number

So  the first three numbers  are   ( N ) + (N + 6) +( N + 12) 

The  last  three  numbers  are   (  N + 6 ) , (N + 6)r  + (N + 6)r^2

So

AP third number = GP second number

N +  12   = ( N + 6)r

(N + 12/(N +6)   = r

And  

AP first number = GP last number

N  = (N + 6)r^2

N = ( N + 6)   (N +12)^2  /(N + 6)^2

N = ( N + 12)^2  / (N + 6)

N (N + 6)  = (N + 12)^2

N ^2  + 6N  =N^2  + 24N + 144

-18N = 144

N = -8

r =  (N + 12) / (N + 6)  =  ( 4/-2)  = -2

The series  is    -8 , -2  , 4 ,  -8

The sum is   -14

Note that 216 = 6³

(6³ )⁶ = 6¹⁸  =  6^x+6^x+6^x+6^x+6^x+6^x

             6¹⁸ = 6^x+x+x+x+x+x   = 6^6x                       Now equate the exponents......can you solve it now?

would you be able to help me on this one as well?
 

Hi Guest, you'll need to specify what "6 yd is the top circle" is referring to. 

If 6 is referring to the raduis of the cricle, then the surface area is 72pi + 60pi. 

I hope this helped. :)))

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9 yellow slices and 30 total slices. 

9/30 = 30%

He ate 30% of the pizza. 

I hope this helped. :))

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Our numbers are a, a + 6, a + 12, a

Since the ratios are the same...

a/(a+12) = (a + 12)/ (a + 6)

a^2 + 6a = a^2 + 24a + 144

a = -8

So our sequence is -8, -2, 4, -8. 

-8 - 2 + 4 - 8 = -14. 

So our answer is -14. 

 I hope this helped. :)))

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Ok thank you so much

catmg's  answer is  correct

The second one is false..(or at least not necessarily true)....we  could have  3 equations, 3 variables  or 4 equations, 4 variables, etc.

ok,  i will remeber that for next time.

the answer to 2) is 2x^(2)(e^x^2) - (e^x^2) + C

and the answer to 3) is -22

85 + 5t = m, where t is the number of tickets sold, and m is the amount of money in their account. 

85 + 5(251) = m

1340 = m

1340 is in their account. 

I hope this helped. :))

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0.025% = .00025 = 25/100000 = 1/4000. 

I hope this helped. :)))

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So is this all correct?

Yes because 9 + 12 > 15.

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A system of equations  implies  that we have  n equations   in    n   variables

I really have no idea on how to solve this, but I have a feeling it's 26. 

Triangle EOC looks like a equilateral triangle which would make DEC 120. 

180 - 120 - 34 = 26. 

Sorry I wasn't able to help more. 

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y = 2x + 5

y = -3x - 10 

2x + 5 = -3x - 10

5x = -15

x = -3

x = -3

y = 2(-3) + 5

y = -1

(x, y) = (-3, -1)

As for the TRUE or FALSE question, I believe a system of equation is just any collection of equations, but my vocab skills are trash so I wouldn't trust it. 

I hope this helped. :)))

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Will the side lengths below form a triangle? 15, 12, 9

yes or no

15 - 9 = 6

15 + 9 = 24. 

If degenerate triangles are allowed, then the interval is [6, 24]. 

If non including degenerate triangles, the interval is (6, 24).

I hope this helped. :)))

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26 * .5 = 13

28 * .25 = 7

30 * .2 = 6

6 + 13 + 7 = 26.

26 total yellow jelly beans. 

26 + 28 + 30 = 84 total jelly beans. 

26/84 = 0.30952380952

Which is about 31%

I hope this helped. :))

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It seems like I may have made a mistake on this answer. CPhill has the correct one. :)))

I'm sorry. 

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1.  If  2x^2  + bx + 18  =  0   has a double root......then the discriminant   =  0 

So

b^2  - 4 * 2 * 18  = 0

b^2  -  144   = 0

b^2   = 144

b  =12   or  b =  -12

Draw a  parallel to  BC  from E  intersecting AB  at F

Then triangle AFE is similar to triangle   ABC

And since  AB  = 3/4  of BC

Then AF  =3/4 of  EF = 3/4 (BD)    = (3/4) (1)   =3/4

Then  AFE  is a right triangle  with legs    AF  and  EF

So its area (1/2) (1) (3/4)=  3/8  

And FEDB   is a rectangle with a height of  AB - AF   =   (3 - 3/4)  = 9/4    and a width of 1

So its area =  (1)(9/4)  = 9/4

So the  blue  area  and the yellow area inside this rectangle  both equal 1/2  of  this  =  9/8

So

The yellow area =  3/8 +9/8  =  12/8  

And the blue area =  9/8

And their ratio  =   (12/8) / (9/8)  =  12/9  =   4/3

The ratio of sides is 3, 4, 5. 

So BED sides are 1, 4/3, 5/3. 

and BAE sides are 9/5, 12/5, 3.

The ratio between those sides are 9/5, so the area is just 81/25. 

Our final answer is 81/25.

I hope this helped. :)))

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Volume of a sphere is (pi)*(r^2)*(h), where r is raduis, h is height, and pi is 3.14. 

Diameter is 24/2 = 12

We just need to plug everything in. 

(3.14)*(12^2)*(14) = 6330.24

I hope this helped. :)))

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