1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Reptile [31]
4 years ago
14

The regular price of a child's entry ticket to a water park is $8 less than that for an adult's. The park offers half off of all

entry tickets during the off-peak season. The Sandlers paid a total of $194 for 1 adult ticket and 4 child's tickets to the water park during the off-peak season. The following equation represents this situation, where x represents the regular price of an adult ticket.
194 = 1/2x + 2(x - 8)

What is the regular price of a child's ticket?

$68

$76

$84

$89
Mathematics
1 answer:
valkas [14]4 years ago
3 0
<span>194 = 1/2x + 2(x - 8)
194 = 1/2x + 2x - 16 = 5/2x - 16
5/2x = 194 + 16 = 210
5x = 210 x 2 = 420
x = 420/5 = 84

Therefore, the regular price of a child's ticket is $84 - $8 = $76.
</span>
You might be interested in
A boy walks 6 km from a point P to a point Q on a bearing of 065. He then walks to a point R at a distance of 13 km on a bearing
Usimov [2.4K]

9514 1404 393

Answer:

  1. see below for a sketch
  2. 12 km

Step-by-step explanation:

The distance can be calculated using the Law of Cosines. The angle internal to the triangle at Q is (180°-(146° -65°)) = 99°. Then the distance PR can be found from ...

  PR² = PQ² +QR² -2·PQ·QR·cos(∠PQR)

  PR² = 6² +10² -2·6·10·cos(99°) ≈ 154.77

  PR ≈ √154.77 ≈ 12.44 . . . . km

The distance PR is about 12 km.

6 0
3 years ago
Solve using system of equations by using elimination method for -5x+4y=2 ; 9x-4y=6
jek_recluse [69]

Answer:

y = 3

x = 2

Step-by-step explanation:

-5x + 4y = 2

9x - 4y = 6

Sum both eq.

-5x + 9x = 4x

+4y - 4y = 0

2 + 6 = 8

then:

4x + 0 = 8

4x = 8

x = 8/4

x = 2

from the first eq.

-5x + 4y = 2

-5*2 + 4y = 2

-10 + 4y = 2

4y = 2 + 10

4y = 12

y = 12/4

y = 3

Check:

from the second eq.

9x - 4y = 6

9*2 - 4*3 = 6

18 - 12 = 6

6 0
2 years ago
Given a = 4, b = -2 and c = 8, evaluate ab - bc.<br><br> -24<br> -4<br> 8
Mrac [35]
(4*-2)-(-2*8)=
-8--16=8
8 0
3 years ago
E is the midpoint of DF, DE= 73 – 3, and EF = 4.: +3.
Damm [24]

Answer:

i don't really understand what you are asking me

Step-by-step explanation:

4 0
3 years ago
Translate the sentence into an equation. Six less than a number is 14.
BlackZzzverrR [31]
Less than is subtraction so your answer to "six less than a number is 14" would be

n-6=14

5 0
3 years ago
Read 2 more answers
Other questions:
  • Help with math plz help
    8·1 answer
  • Y + 6.2x = −13, when x = −4
    8·1 answer
  • A television normally costs 1420.Due to a store sale the television is now 1,022.40.What was the percentage taken off the televi
    8·2 answers
  • WILL GIVE ALL MY POINTS working alone, machine a takes 2 hours to build a car, working alone machine b takes 3 hours to build a
    8·1 answer
  • The time required to do a job varies inversely as the number of people working. It takes 5hr for 7 bricklayers to build a park w
    14·1 answer
  • The price of a burger meal changed from $5.00 to $7.50. What is the percent change in the cost of the burger meal ?
    10·1 answer
  • Rearrange this question and make the m as the subject
    9·1 answer
  • Need help!!!!!!!!!!!!Please
    15·1 answer
  • Find all missing angles. m∠1 = m∠2 = m∠3 = m∠4 =
    5·1 answer
  • Is this table linear, exponential or quadratic?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!