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Ethan bought a bag of marbles. After giving 1/5 of his marbles to Jacob and 105 marbles to Adam, he had 1/3 of the marbles left. How many marbles did Ethan buy?

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x - (x/5 + 105) = x/3

x = 225

Semiperimeter =>     s = 1/2(13+15+14)

Area of Δ ABC =>     A = sqrt[ s(s-13)(s-15)(s-14)]

Inradius =>               r = A / s

[AEIF] = A - (r * BC) = 28 square units

Volume = 9815.233048 cubic inches

a+b = 485

a-b = 303      add the two equations

2a = 788

a = 394 tons        now you can calc b   

20/24

f(a) = a^2-2a    = 8

         0 = a^2 -2a-8

         0 = (a-4)(a+2)          a = +4   or    -2

$f(x) = 2e^{2x} - 5e^{3x}$.

The probability is 1/10.

7x^2 + x - 5 = 0        ab = -5/7

https://web2.0calc.com/questions/how_35#r1

Ethans marbles

; x-1/5x-105=1/3x

:x-3/15x-105=5/15x

:12/15x-105=5/15x

:7/15x=105

:1/15x=15

:x = 225

Cost of the gift=45$

Siti and Zafri ratio = 3:4 = 12:16

Cost of the gift ratio = 2:3 = 6:9

21/(16-9)=3

Cost of the gift= (6+9)x3=45$

Let initial no. of magnets = 12m.

1/4 of total : 3m

Remainder after Pierre : 12m - 3m - 6

                                        = 9m - 6

2/3 of remainder : 2/3 * (9m - 6)

                            =  6m - 4

Remainder after Kelsey : 9m - 6 - (6m - 4) - 2

                                      = 3m - 4

    Since 12 magnets remain, 3m - 4 = 12

                                               3m = 16

                                             12m = 16 + 4

                                                     = 64

  Kelsey took 6m-4+2

                     =6m-2

                    6m = 12m/2 = 32

                   6m-2 = 32-2 = 30

1/2 d = 2/3 j         d = 4/3 j

4/3 j + j = 126

j = 54         then d = 72

Answer = 54
x=Danny's money 

y= Jeff's money

x+y126

1/2x-2/3y=0

x+y=126

x-4/3y=0

7/3y=126

2/3y=36

y=54

Verification: 54+36x2=126

Let the number of magnets shared by the 3 boys==M
Pierre took ==1/4M + 6

M - [1/4M + 6]==3[M - 8]/4

Kelsey took ==[2/3 * 3[M - 8] / 4] + 2=[M - 4] / 2

1/4M + 6 + [M - 4] / 2 + 12 =M, solve for M

M==64 - Total number of magnets.

Pierre took ==1/4*64 + 6 ==22 magnets.
Kelsey took ==[64 - 4] / 2 ==30 magnets.
Titus took ==12 magnets
22 + 30 + 12 ==64 magnets shared by 3 boys.

https://ask.manytutors.com/questions/114797

Here it is. If you think its correct, what have you done so far?

I found that the question is same as i am finding it.

See th answer here:  https://web2.0calc.com/questions/please-help-thanks_55#r1

Let the number of beads that Salimah had at first==S

Then, Caiyin had ==3/7S

Salimah received: 1/3*3/7S from Caiyin==1/7S

S + 1/7S - 60 =2/7S + 60

8/7S - 2/7S ==120

6/7S == 120

S == 140 - Beads that Salimah started with.

At the end, both Salimah and Caiyin ended up with 100 beads each.

Thx

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Nathan marbles in the beginning=120

Before round 3

Owen= 68x2=136

Mike=124-(136/2)=56

Before round 2

Nathan=88x2=176

Owen=136-88=48

Before round 1

Mike=56x2=112

nathan=176-56=120

Answer=8

F+V-E=2

8+V-14=2

V=8