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devlian [24]
3 years ago
9

John is selling tickets to an event. Attendees can either buy a general admission ticket, x, or a VIP ticket, y. The general adm

ission tickets are $55 and the VIP tickets are $80. If he knows he sold a total of 21 tickets and made $1,280, how many of each type did he sell?
John sold _ general admission tickets and _ VIP tickets
Mathematics
1 answer:
jasenka [17]3 years ago
3 0

Answer:

20\

Step-by-step explanation:

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What is the value of x in the equation 8x – 2y = 48, when y = 4?
luda_lava [24]

Answer:

7

Step-by-step explanation:

8x-2y=48, replace y with 4, 8x-2(4)=48, multiply, 8x-8=48, add 8 to both sides to remove the -8, 8x=56 and finally divide by 8 to remove 8 from x, x=7.

8 0
3 years ago
Evaluate g(p)•h(p) by modeling or by using the distribution property
Nataly [62]

g(p) \cdot h(p) = p^{4}+2 p^{3}-8 p^{2}-2p+4

Solution:

Given data:

g(p)=(p-2) and h(p)=\left(p^{3}+4 p^{2}-2\right)

To find g(p) \cdot h(p):

g(p) \cdot h(p)= (p-2)\cdot \left(p^{3}+4 p^{2}-2\right)

Distributive property: a(b+c)=ab + ac

               = p\left(p^{3}+4 p^{2}-2\right) -2\left(p^{3}+4 p^{2}-2\right)

               = \left(p^{4}+4 p^{3}-2p\right) +\left(-2p^{3}-8 p^{2}+4\right)

               = p^{4}+4 p^{3}-2p-2p^{3}-8 p^{2}+4

Arrange and add/subtract same powers.

              = p^{4}+(4 p^{3}-2p^{3})-8 p^{2}-2p+4

               = p^{4}+2 p^{3}-8 p^{2}-2p+4

Hence g(p) \cdot h(p) = p^{4}+2 p^{3}-8 p^{2}-2p+4

5 0
3 years ago
How to do the problem
ruslelena [56]

Answer:

1.) x = 14.96ft

2.) The shorter leg is 6 meters

Step-by-step explanation:

1.) a^2 + b^2 = c^2

  • a and b = legs of the triangle
  • c = hypotenuse the longest side

15ft^2 + x^2 = (2x +1)^2

  • 225 + x^2 = (2x^2 + 1^2)
  • 225 = 2x^2 + 1 - x^2
  • 225 = x^2 + 1
  • 225 - 1 = x^2 +1 - 1
  • √224 = √x^2
  • x = 14.9662...

2.) Longer leg a = x+2,  shorter leg b = x, Hyp. c= 2x-2

Equation:

  • (x+2)^2 + x^2 = (2x-2)^2

Solve:

  • (x+2)(x+2) + x^2 = (2x-2)(2x-2)
  • x^2 + 4x + 4 + x^2 = 4x^2 - 8x +4
  • 2x^2 + 4x + 4 = 4x^2 - 8x +4
  • 2x^2 + 4x + 4 - 4x^2 +8x - 4 = 4x^2 - 4x^2 - 8x + 8x + 4 - 4
  • -2x^2 + 12x = 0
  • 2x (-x + 6) = 0

Answers:

  • 2x = 0
  • -x + 6 = 0
  • <u>x=0 -or- x=6</u>

<u>Since x cannot equal 0 due to the known length of the triangle needs to be more than 0 the answer for x equals 0.</u>

<u>B=6</u>

Check:

  • A = x + 2: A= 6 +2 = 8
  • B= 6
  • C = 2x -2: C= 2(6) -2 = 10

8^2 + 6^2 = 10^2

  • 64 + 36 = 100
  • 100= 100
5 0
3 years ago
You pick a card and a marble randomly.
Iteru [2.4K]

Answer:

B2/25

Step-by-step explanation:

because that it is the propability

7 0
3 years ago
The school made $2,800 on the school carnival. The second and fifth grade classes each made only $200. The kindergarten and four
lesya692 [45]

Kindergarten: $400.00

First Grade: $800.00

Second Grade: $200.00

Third Grade: $800.00

Fourth Grade: $400.00

Fifth Grade: $200.00

6 0
3 years ago
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