Nathaniel can't remember exactly how many cupcakes haley and virgil made for the halloween party but he did remember that all together haley and virgil and he had made 156 cupcakes he also remembered that he and haley and made 110 and he and virgil has made 94 how many did each person make

Haley  = 62

Nathaniel  = 48

Virgil  = 46

Step-by-step explanation:

According to question ,

Haley + Virgil + Nathaniel  had made total of = 156 cupcakes         1

Haley + Nathaniel had made total of              =  110  cupcakes       2

Virgil  +  Nathaniel had made total of             =   94  cupcakes       3

So, from above three equations  ,

From eq 2 and 3

(Haley + Nathaniel) - (Virgil  +  Nathaniel ) = 110 - 94

So, Haley - Virgil = 16                                                                           4

From eq 1 and 4

(Haley + Virgil + Nathaniel ) + ( Haley - Virgil ) = 156 + 16

2 Haley + Nathaniel = 172                                                                     5

From eq 2 and 5

( 2 Haley + Nathaniel ) - (  Haley + Nathaniel ) = 172 - 110 = 62

so, Haley  = 62

In eq 5  put the Haley make value

so, Nathaniel = 172 - ( 2 × 62)

     Nathaniel  = 48

In eq 4 , put the value of Haley make value

So,  Virgil = Haley - 16

      Virgil = 62 - 16 = 46

Hence the value of all the three persons make is

Haley  = 62

Nathaniel  = 48

Virgil  = 46        Answer

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.