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Alona [7]
2 years ago
9

The Gonzales family has three children. On summer break they went to an amusement park they bought 3 child tickets for 18.50 and

2 adult tickets If they spent a total of 104.50 how much was the price of the adult ticket?
I need a complete equation and step by step explanation showing the numbers, not how you did it.
Mathematics
1 answer:
sergiy2304 [10]2 years ago
4 0

Answer:

= 24.5

Step-by-step explanation:

1 child ticket = 18.50 and they bought 3 so 18.50 x 3 = 55.5

55.5 + 2 adult tickets = 104.50

104.50 - 55.5 = 2 adult tickets

= 49 for 2 adult tickets

49/2 = 1 adult tickets

= 24.5

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If (x^2 - 1) is a factor of ax^4 + bx^3 + cx^2 + dx + e, show that a + c + e = b + d = 0
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x^2-1=x^2-1^2=(x-1)(x+1)

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According to the remainder theorem, if a binomial x-a is a factor of a polynomial p(x), then p(a)=0.

If x-1 and x+1 are factors of the polynomial p(x)=ax⁴+bx³+cx²+dx+e, then p(1)=0 and p(-1)=0.

p(1)=a \times 1^4+b \times 1^3 + c \times 1^2+ d \times 1+e \\
p(-1)=a \times (-1)^4 + b \times (-1)^3 + c \times (-1)^2 + d \times (-1)+e \\ \\
p(1)=a+b+c+d+e \\
p(-1)=a-b+c-d+e \\ \\
p(1)=0 \\
p(-1)=0 \\ \\ \hbox{add both equations:} \\
a+b+c+d+e=0 \\
\underline{a-b+c-d+e=0} \\
2a+2c+2e=0 \\
2(a+c+e)=0 \\
a+c+e=0 \\ \\
\hbox{substitute 0 for a+c+e in the first equation:} \\
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\hbox{proved } \checkmark
8 0
3 years ago
Can someone help me?
Hoochie [10]

Answer:

64

Step-by-step explanation:

5 0
3 years ago
SOMEONE HELP ME PLEASE I NEED HELP
d1i1m1o1n [39]

Answer:

Rectangle: 6x4=24

Right triangles: 6x1/2=3

3x2=6

Step-by-step explanation:

If you separate the trapezoid into two triangles and a rectangle you can find the area of the rectangle (length x width) and then to find the area of both of the triangles on the sides you do (leg x leg /2) but since there are two you can multiply by two again (or just do leg x leg).

Hope that helps!

4 0
3 years ago
AB ← → is tangent to circle O at point A. If m∠AOB = 72degrees what is m∠ABO ?
tatuchka [14]

Answer:

m\angle ABO=18^o

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If AB is tangent to circle O at point A

then

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so

m\angle ABO+m\angle AOB=90^o ----> by complementary angles in a right triangle

substitute the given value

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7 0
3 years ago
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